diff --git "a/data/dm_maths/full_data/1826_11255.jsonl" "b/data/dm_maths/full_data/1826_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1826_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is -1709100 < -1709098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.12 - -2.12. Which is the nearest to 0.1? (a) o (b) -1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 160*p + 21257. Let l(o) = 68*o. Give h(l(v)).\nAnswer: 10880*v + 21257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 12*d**2 + 0*d**2 + 19*d**2.\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.4, 3\/2, 44\/5, 3, 8\/5 in descending order.\nAnswer: 44\/5, 3, 8\/5, 3\/2, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 15, 231 = -5*b - 3*x + 5*x. Let r = -32 - b. What is the greatest common factor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 + -286. Let w = 1027 - 646. Suppose 4*s - w = -h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1964.02 + -1932. Let u = t - 32. Which is greater: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -4*c**5 + 13*c**4 - 16*c**3\/3 - 8*c**2 - 72. Factor b(i).\nAnswer: -4*i*(i - 2)*(i - 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/((-14)\/((-112)\/(-20))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133526 is divided by 40479?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -434.3805 and -14.\nAnswer: -448.3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 272, 427, 700, 1151, 1840, 2827, 4172, 5935?\n\"Answer: 10*q**3 - q**2 + 88*q + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - 4)\/(-8))\/(((-16)\/(-12))\/(138\/(-9)))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*t = 141 - 14, -5*a + 710 = -5*t. Suppose v + y = -12 + 51, -a = -4*v - y. Suppose 2*n + 2*n - v = 0. Solve -1 = -2*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i - 925629 = -152*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-9)\/(-3)*(-3)\/36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/t**(3\/7))*t))**(4\/11))**(-11\/4) assuming t is positive.\nAnswer: t**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g)**(5\/11)*(g*g\/(g\/(g\/(g\/((g*g\/(g*g**(1\/5)))\/g))*g*g))*g)\/(g*g**(-10)) assuming g is positive.\nAnswer: g**(779\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, -111, -236?\n\"Answer: -125*v + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -99\/4, -2\/3, 0.3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9) - (-186)\/684) + 1\/6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-38 - -15) - 52.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04968 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16318 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11\/5 (b) -3.2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdrr. What is prob of picking 1 d and 1 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -361135445 or -361135448?\nAnswer: -361135445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 1, w: 4, n: 2}. What is prob of picking 1 w, 1 a, and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*g + 4 = 0, -2*g + g = -h. Let c be (-9)\/(-4) + (-1)\/h. Suppose -8\/7 - 8\/7*j - 2\/7*j**c = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h**2 - 6*h**2)*(2*h - 3 + 3) - 310*h**3 - 278*h**3 + 639*h**3 + (-2*h**3 + 2*h**3 + 2*h**3)*(-1 + 3 - 4).\nAnswer: 43*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213*((-20)\/(-12))\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000837202 rounded to 7 dps?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36952?\nAnswer: 2, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 107*z + 9849 = -31*z - 145*z for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/4 (b) 205575 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:21 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 11*j - 24 = 0. Let b be (0 + -4)*10\/j. Suppose 5*o = 2*q - 1, b*q - 21 = 3*o + 10. What is the remainder when 13 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -11 - (-5 + (6 - -3) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6343 divided by -2566.\nAnswer: -6343\/2566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3089*a**3 - 2*a**2 - 634*a + 1 wrt a.\nAnswer: 18534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46*2\/4*103810\/20762.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + 0.6. Let j be (20\/(-25))\/(624\/(-195)). Which is the smallest value? (a) j (b) z (c) 0.12 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 11*w + 3. Let f be a(11). Suppose -c - f*l - 2*l + 63 = 0, -6 = 2*l. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 3*c**2 - 3*c**2 + (40*c + 10*c - 14*c)*(3*c + 3*c - 5*c).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 138*n**2 - 732*n + 592 = 0 for n.\nAnswer: -74, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 1554504380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (493\/782)\/(-29)*-2*3. What is the nearest to 0 in b, -5\/8, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 - 3\/(-1). Let u be 1 + 12 + b + 1. Let h = 10935 - 10875. Calculate the highest common factor of h and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18400 and 2875.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - 3*h - 2. Suppose b - 2*b - u - 6 = 0, 2*b - 2*u = 4. Calculate x(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.66 and -0.5.\nAnswer: 2.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, b: 7}. What is prob of sequence ybb?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67312133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 601464706 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30317034*l**2*u*x - l**2*u + 5058665*u wrt x?\nAnswer: -30317034*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 + 4*c**2 - 3*c - 3. Let l(o) = 2*o**2 - 2 - 3*o**3 + 1 + 0 - o. Let h(b) = 5*l(b) - 2*r(b). Suppose -2*d + 2 = -d. What is h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 4350\/203)*-21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -w - 3*w. Let r = w + 15. Calculate the remainder when 14 is divided by (6\/(-9))\/(1\/r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10708731 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020050*h**2\/19 - 16080*h\/19 + 32\/19 = 0 for h.\nAnswer: 4\/1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 18 + 12 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, i: 2}. What is prob of picking 1 q and 1 i?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, -2, -31 in decreasing order.\nAnswer: 5, 2, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 61 = 139. Suppose 2*a + 3*m = 20, -3*a + 5*m + 28 = -40. Calculate the greatest common factor of a and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 - -489. Let s = 174.29 - o. Let w = -16.69 + s. Round w to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 d when three letters picked without replacement from {d: 3, p: 1, h: 1, b: 2, g: 3, u: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 3875*a**2 + 12 - 12.\nAnswer: 2*a**3 - 3875*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -153, -360, -661, -1062, -1569?\n\"Answer: -z**3 - 38*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108375920 divided by 6?\nAnswer: 184729320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*d - 16 = 0, 3*v - 3*d - 7 = 5. Solve -4*z + 12 = v*s, -2*s - 9 = -3*z - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*p - 5*d, 3*p - 9*d + 11*d = 11. Suppose 3*s - 2*c = 18, p*s + 5*c = -0 - 3. Solve 5*l - s*g + 6 = -5*g, 20 = 5*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3784450 and 1513780?\nAnswer: 7568900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, v: 8, x: 7}. Give prob of picking 1 k and 2 v.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 4\/5, -2\/17, 0.2, 1\/93?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -324. Let j = -80 - r. Suppose 108 = -o + j. Calculate the greatest common divisor of o and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**2 - 17*p + 5. Let f be c(3). Let m(r) = -r - 1. Calculate m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 26. Let w(a) = 543849*a. Determine i(w(m)).\nAnswer: -543849*m + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + r = -9*r - 65 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -2\/169 (c) -0.3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 63*s**2 + 276*s - 1043. Determine v(4).\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and 2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00183307 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3859527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 544 + -104?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26062 is divided by 237.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -46*o**2 - 20. Let x(n) = 77*n**2 + n + 39. Let l(g) = -5*b(g) - 3*x(g). Determine l(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 6 - 2 - 3)*(-2*y**2 - 2*y**2 + 2*y**2).\nAnswer: -6*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, q: 3, t: 1, z: 6, o: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ssfsffsflf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 3*q. Suppose 0 = 2*m - 3*k - 22, 17*m = 16*m - 5*k - 15. Give s(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -33*m**3 + 231*m**2 - 5*m + 15. Give k(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(-72)\/(-81). Let d = -0.4 + 0.2. Let f = d + 0.2. Which is the second smallest value? (a) x (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 2*a - 5*a + 33*a + 11*a - a + 2*a - 4*a + 0*a - a + 0*a - a + 2*a - 2 + 2 + 0*a + 3*a - 2*a + a + 2*a - 2*a + (a + 2*a - 5*a)*(4 - 2 - 4).\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*l - 6040 - 1524 + 1448 = 0 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 106 + 14 = 0. Let x be ((-36)\/a)\/((-6)\/(-20)). Suppose 0 = -x*l + t - 4, l - 4 + 5 = t. What is the closest to l in 3, -1\/2, 2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.336, -1\/4, 8, -3?\nAnswer: 1.336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l - 8303 = 29*l + 292*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000209694 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(3*u + u + 0*u)*(-u**3 - 3*u**3 - 4*u + 2*u**3) to t*u + m*u**4 + v + d*u**2 + c*u**3 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-2 - -6 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 30*d + 113. Determine o(-34).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 3, n: 1, s: 2}. What is prob of picking 1 m, 1 l, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 239.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3987*f**3 - 24*f**2 - 8*f + 8. Let d be q(-6). What is d rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-7 - (-3 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + 3 - 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -1\/9, 3, 1\/3, 3\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 96*c**2 + 0 - 101*c**2 + 3. Let j(h) = -3*h. Give j(d(t)).\nAnswer: 15*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2254 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*s + 3, 36 + 7 = -4*v + 3*s. Let f(t) = -9*t + 9. Let g(d) = 5*d - 5. What is v*g(b) - 4*f(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.26043+10231\nAnswer: 10230.73957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -0.1676.\nAnswer: -0.3676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 - -5dc44?\nAnswer: 5dcc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 259292.\nAnswer: 25929.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 + l - 1. What is the remainder when o(-7) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.021 - 0.0210043. What is o rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n + 35. Let t be y(-1). Let j = -5 + 10. Suppose 3*g = j*i - 152, -2*g = -i + t*g + 27. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:44 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -13. Let g = -16 + a. What is the smallest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 3*q + 2 + 0*q. What are the prime factors of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/37)\/((-3)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 12) + -21 - (-4 + -34)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6016\/(-104))\/(-8))\/((8\/96)\/((-104)\/(-96)))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/6, 17, 4 in decreasing order.\nAnswer: 17, 4, 7\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 11*g**3 - 10 + 15 + (-3 + 3 - g)*(-278*g**2 - 113*g**2 - 63*g**2).\nAnswer: 443*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*n**2 - 195*n**2 + 0*n - 177*n**2 + 0*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 986739 divided by -3?\nAnswer: -328913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 235, 512, 899, 1396?\n\"Answer: 55*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 71 = -2*g, 15*v - 17*v = -6*g - 42. Suppose -93 = -3*k + 12. What is the greatest common divisor of k and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/4)*i\/(i*i**(-6))*(i*i*i**3)\/(i\/(i*i\/((i\/i**(1\/4))\/i)*i*i*i*i*i)*i))\/((i**(1\/2))**18)**14 assuming i is positive.\nAnswer: i**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152919232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:11 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.669, 0.4, -11\/157?\nAnswer: 0.669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 1) + -33 - -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -0.33.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38482 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 25*d**2 - 162*d - 18. Let x be i(-16). What is the highest common divisor of x and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565318 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9041*k = -9042*k + 12*c + 47, -2*c = -k + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s - 2*s + (1 - 3 + 4)*(-s - 14 + 14) + (2 - 1 - 2)*(3 - 3 - s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 429\/(-2 + 5)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20332 (base 4) to base 8\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25898, -36835, -47772, -58709, -69646, -80583?\nAnswer: -91520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -1.19. Which is smaller: -2\/9 or o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) - (-1 + sqrt(684)))) + sqrt(684) + -3 + -5.\nAnswer: -9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 - 261*b**4 + 1647*b**3 - 2511*b**2 = 0. What is b?\nAnswer: -93, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5871 or -5875?\nAnswer: -5871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8631323 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714680072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.23. Let f be (-200)\/(-75) - 146\/48. What is the third smallest value in j, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1637843 millennia to months.\nAnswer: 1965.4116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 58984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 16 = 0, 0 = 3*h - 32*j + 35*j + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25583473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 3*r + 6. Let o be f(5). Let z be 3 + -1 - (-19 + o). Let j = -17 + z. What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29916 and 2304.\nAnswer: 1914624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48490544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - r - 4*r - 2*r + 10*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*q + 7 = -2*b, 3*q = -3*b - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + -77. Let h = r + -84. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*k - 6. Let x(w) = -w - 3. Let d be x(-4). What is the closest to d in k, -2\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 2550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 3*20\/12)\/(-2). Let y be (11 - 12) + (1 - (-38)\/12). Let u = y + v. Which is the closest to u? (a) -0.1 (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyxkbyxy. Give prob of sequence kyx.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10 + 12 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89092?\nAnswer: 2, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*h - 422, 4*t - 216 = 6*t + 4*h. Suppose 4*w + 776 = -s + 6*s, -3*w = -4*s + 583. Let q = t - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*v - 1 + 1 + 7*v + 110*v.\nAnswer: 614*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1085 - 1694. Let d = s + 609.1. What is the nearest to 1\/2 in 1\/2, 4, d, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556662*s**2 + 556662*s**2 - 1113323*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 112011 (base 4) to base 5\nAnswer: 21123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37428 divided by 18635\nAnswer: -37428\/18635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135271109\/27 - 5009421. Let o = 620 - x. Put 2\/7, o, 4 in increasing order.\nAnswer: o, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**42*y**(-2)\/(y**(-3\/2)\/y) assuming y is positive.\nAnswer: y**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2545 is divided by 46?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 4, o: 1, j: 2}. What is prob of sequence noj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -5*g**3\/3 + 15*g**2 - 106*g. Let m be x(3). Solve -4*j - 20 = -5*n, 4*n + m = -4*j - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41130 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 e when three letters picked without replacement from {a: 1, j: 1, v: 2, y: 1, o: 1, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48285894.\nAnswer: 2, 3, 8047649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -36. List the prime factors of 2*-2*292\/v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - r - 11 = -u, 0 = -3*r + 15. Suppose u*q = 2*q + 10. Solve -q*d - 7 = -2*b, -3*b - 3 = 4*d - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 46, 141, 282, 469, 702, 981?\n\"Answer: 23*h**2 - 20*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*(-1 + 15\/9). Suppose 2*o + o - w = 0. Suppose 645*b + 48 = -z + 650*b, 5*b = -2*z + 54. Solve -z*f + 8 - o = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38998574.\nAnswer: 2, 19499287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8877564 by 2219391.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 40*h - 32. Calculate the least common multiple of q(8) and (5\/4)\/((-1)\/(-8)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 96 in descending order.\nAnswer: 96, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104.8 - 104.3. What is the second biggest value in -7\/5, q, -5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40892390057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-608)\/(-28) + 6\/21 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 0.5. Suppose -2 = 5*v + 8. Which is the third biggest value? (a) 1 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (-2 - -2 - -5 - 7)) + 11 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -32*x**2 - 172*x - 54. Calculate o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 4, -5, -48, 0 in decreasing order.\nAnswer: 5, 4, 0, -5, -9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by ((-2982)\/(-142))\/((-3)\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 5. Let k(c) = 3*c**2 + 7*c + 2. Let v be k(-2). What is the third smallest value in 2, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 - 216.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4\/3)\/(-2) - -8) + -8. What is the fourth smallest value in 4\/43, 0, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/12 - (((-265350)\/40 - -12) + -2). Is x greater than or equal to 6626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10651391.\nAnswer: 10651391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**3 + 1508*h**2 - 276*h + 3905. Give z(-151).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -110*q**2. Let c(j) = -523*j. What is l(c(i))?\nAnswer: -30088190*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*a = 3*a + 95, 2*w + 92 = -4*a. Does 26 divide (-2090)\/w - 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from looof. What is prob of picking 2 o and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3400)*1 - sqrt(3400))*-5)\/((sqrt(864) - (sqrt(864) + -2*sqrt(864)))\/((sqrt(24)\/sqrt(4))\/sqrt(2) + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73525547\/45 - -1633353. Suppose -548 = 18*r - 19*r. Let k = r + o. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -17*j - 47. What are the prime factors of m(-12)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472106483 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: Let p = 2 - -1. Suppose 0 = 2*h + p - 17. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151482 is divided by 6583.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022323 (base 4) to base 6.\nAnswer: -105055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6*g + 158 = 114. Solve r - 3*r = -h - 6, -g*r - 4 = 2*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 411429, 411417, 411405, 411393, 411381?\n\"Answer: -12*u + 411441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let d(c) = -427*c. What is l(d(b))?\nAnswer: 427*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -3986154.\nAnswer: -3986159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y + 100 = -79*y. Solve 30 = 3*d - 2*w - w, 3*d - w - y = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**3*s**3 + p**3 + 107*p*s**5 - 1297*s**2 wrt s.\nAnswer: 24*p**3 + 6420*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2437 and 6126.\nAnswer: -1492.9062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -43*n**2 - 138*n + 536. What is y(4)?\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557\/5 + -111. Let n = -21 - -23. What is the closest to -0.2 in u, -4, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:52 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/(-5)*-1)\/((-28)\/(-140)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 73. Let v be o(19). Let x be ((-8)\/(-2) + v)*375. Let c = -179 + x. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 62. Let v be 30\/(-27)*3 - (-7)\/w. Let m = v + 5. What is the second smallest value in 3, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*o - 4 - 4, -3*o - 1 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -7)*27\/15. Let u = q + -6. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 98 + 58. Let u(m) be the second derivative of -1\/80*m**5 + 0*m**2 + 1\/24*m**3 + 0 + 1\/120*m**c - 1\/48*m**4 - 2*m. Factor u(k).\nAnswer: k*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14835112 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28984?\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(363) + 0)*-5.\nAnswer: -55*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24703239 or -24703240?\nAnswer: -24703239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/22, -17, -2\/7?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(22) - sqrt(22)*-2)*1)\/(sqrt(891)*-1).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 12*n**2 - 15*n - 66. Let t be c(9). What is the greatest common factor of t and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 8 + 16 + 121*c + 87*c - 22)*(c**2 + 2 - 2) to f*c + v*c**3 + d*c**2 + p and give v.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 57. Calculate the remainder when v(-26) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-902004)\/22 - 6\/(-33). Is 17\/((-85)\/z) + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q + 1\/60*q**5 - 3 + 0*q**2 - 1\/3*q**3 - 5\/24*q**4. Let x(a) be the third derivative of h(a). Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221756 is divided by 17703.\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110110100010011111 (base 2) to base 6.\nAnswer: 33351035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 = -5*c + 9, -c - 3*q + 13 = 0. What is the remainder when c - (15 - 3)\/(-4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**4*k + 5*a**4 - a**2*k - 11*a**2 - 31*a*k - 129*a wrt a?\nAnswer: 84*a**2*k + 60*a**2 - 2*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-60)*15)\/((-30)\/(-32)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 z when four letters picked without replacement from {g: 4, h: 1, d: 2, e: 3, z: 6, v: 4}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*q**5 + 336*q**4 + 3*q**2 - 121*q + 9 wrt q?\nAnswer: -1560*q**2 + 8064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/98*7*63\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640522 is divided by 283.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 7*s**2 + 4. Let h be g(7). Suppose -5*n - 5*q = 0, h*n - q + 2*q = 0. Suppose 0 = -n*y + 5*y - 180. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -153. Let r = y + 51.53. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -2\/11 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-15 + -21)\/((-50280)\/25135 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-6 + 4 + -7 + 10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 17*k - 15*k - 18, 23 = 3*u + 2*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1115 divided by -10.\nAnswer: -223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9 = 3*x, 36*x = 34*x + 4*m + 22 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**6*t - 11746*h**3*t**2 + 45*h**2 + 467*h*t**2 + 3 wrt h.\nAnswer: 480*h**3*t - 70476*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 5. Let i(l) = -l**2 + 6. Suppose 2*t = -g - 3, 4*g = 4*t - 5 - 7. Calculate g*b(r) + 2*i(r).\nAnswer: r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 5 - 5.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36517 and 50661?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose 3*n - 32 = -4*x, -2*n + 9 = 2*x - 7. Differentiate -f**2 - m*f**2 + 11 + 5*f**2 + x*f**4 with respect to f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 149636.\nAnswer: -0.5, 0, 149636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8353388.\nAnswer: 2, 19, 109913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a33 + -4?\nAnswer: -a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5580303*v + 3785953 wrt v?\nAnswer: 5580303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/60)\/(-24)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2*(-2)\/10. Which is the nearest to -1? (a) -4 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201 + 221221231?\nAnswer: 221301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/240 and 7\/59.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*j - 32, j + 11*v = 7*v - 13. Let p(u) = -2 - 4*u - j - 16*u**2 + 4*u**2 + 8*u**2 - u**3. Calculate p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let s = -2.84 - -0.04. Let i = -3 - s. What is the closest to -1\/4 in 1, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*o + 5*a, -2 - 28 = -3*o + 5*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 11\/12*b**4 - 3*b**2 + 1\/6*b**3 + 1\/20*b**5 + 0 - 164*b. Give m(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 3, p: 6, a: 2, e: 2, z: 1}. Give prob of sequence ealz.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8179?\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5 + 45*u**4 - 5*u**3 - 705*u**2 - 1260*u = 0.\nAnswer: -7, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87 - -9 - -33 - -38?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 901 and 3502.\nAnswer: 185606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*2)\/(1 + -12 + 18). Factor -2\/7*a - 2\/7*a**2 + 0 + o*a**3.\nAnswer: 2*a*(a - 1)*(2*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let l = 1.2 - 1.7. Which is the closest to 0.1? (a) l (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(3\/7)\/(i*i\/i**(3\/8)*i*i*i**(-12)*i) assuming i is positive.\nAnswer: i**(421\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + -2) + 450. Let w = -3490 + 3499. Suppose w*p = -p + d. What is the highest common divisor of p and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154599 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 4:38 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 717631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 11*m**2 + 25*m + 3. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65550 at most as big as 65891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let i(z) = 2*z**2 + 20*z + 18. Let w be i(-9). Let o(y) be the second derivative of 0*y**2 + 0 + w*y**3 + 2*y - 1\/12*y**4. Give o(q(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:28 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 6*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1312 + 13163\/10. Calculate the common denominator of 41\/26 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/(4\/15). Suppose 138 = 143*n - 291. Find b such that 0 + w*b**2 - 9\/2*b**n - b + 3\/2*b**5 - 1\/2*b**4 = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2152.582 to the nearest integer.\nAnswer: -2153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2663, -2758, -2917, -3140?\n\"Answer: -32*f**2 + f - 2632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2324.58 - -2295. Let n = m - -28. Round n to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:43 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 945390763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28*(-20)\/(-35)*-6*(-3)\/36\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147 + 1183?\nAnswer: 1182.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f**3 + 43*f**3 + 87*f**3 + 416*f**3.\nAnswer: 608*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 3*v - 5593 = 0. What is the remainder when v is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 319 = -2*z + 290, 3*a + z + 25 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b + 1. Let d be a(-5). Let s(h) = 1 + 11 + d*h - 4*h - h. Let z be s(-10). Solve 3*v + z*v - 8 = -4*q, -4*q - 2*v - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1) - (9 + -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62398068.\nAnswer: 2, 3, 653, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -2049?\nAnswer: -2049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*m + 11*m - 76 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7.72. Let q = i + -0.02. Which is the closest to -1\/8? (a) 0 (b) q (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0 + 8. Let t be 2\/(-7) + 37\/7. Suppose 0 = -3*d + t*a - 5, -5*d + 3*a = 5*a + 29. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.49236t to milligrams.\nAnswer: 81492360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-385)\/836*-8 + (-4)\/1\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1\/6, -2\/19, -1\/8, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 20*j - 2. Let h be u(7). Let k be (5\/(-40))\/((-4)\/(16\/h)). What is the second smallest value in -6\/7, k, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = 5*c, 15 + 5 = c - 3*d. Let q = 5 + c. What is the smallest common multiple of 16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 75 = 3*v. Suppose -l - 28 = -c + 5*c, v*c - 28 = 3*l. Let z be 6\/l*(-5 + -1). Solve 2*d + z = 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 195 = 5*t - v, -2*v - 78 = -2*t. Is 13\/t + 185\/3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, -2, -3 in increasing order.\nAnswer: -3, -2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u + 3. Suppose -2*r + 10 = 2*j, -3*j = j - 4. What is the tens digit of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2309 or 16172\/7?\nAnswer: 2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 812 and 1044?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g - 30*g - 1243 = 521 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8665*m. Let i(f) be the third derivative of f**5\/60 + 2*f**2 + 64*f + 7. Calculate p(i(b)).\nAnswer: -8665*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76837618 times -0.7\nAnswer: 53786332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + 3. Let v = 22 - o. Factor 4*w**3 - 9*w**2 + 12*w + 4 + 5*w**v - 16*w**3.\nAnswer: -4*(w - 1)*(w + 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43542 and 1713882.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 495959033 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1609552 hours to seconds.\nAnswer: 579.43872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.36 + -2.64. Which is the smallest value? (a) 0.3 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 25374 = -11*y - 6*p, 20 = 4*p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10443 (base 5) to base 10\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -4*h - 113. Let i = -51 - h. Find the third derivative of 17*f**3 + f**3 + 10*f**2 + i*f**3 wrt f.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 7*g - 9. Let f be n(-10). Let q be 120\/65 - 6\/f. Calculate the highest common factor of q and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 + 12899*t**3\/2 - 77421*t**2\/2 + 116145*t\/2 = 0. What is t?\nAnswer: -12905, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*g**3*l**3 - 215*g**3*l**2 - 135*g**3*l + 3*g**2*l**3 - g**2*l**2 - 1674*g**2*l + g*l**3 - 4*g*l**2 wrt g?\nAnswer: -198*l**3 - 1290*l**2 - 810*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212 (base 5) to base 2.\nAnswer: 1010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000760608506 to seven decimal places.\nAnswer: -0.0000761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Let j = 795 - 764.05. Let z = 31 - j. Which is the closest to w? (a) z (b) -5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*w - 63, 13*p + 15 = 10*p - 3*w - 18 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44194, -44195, -44196?\nAnswer: -44197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.056 + -0.056. Sort d, -0.1, -2, 12\/11 in descending order.\nAnswer: 12\/11, d, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11407940 or -1\/7?\nAnswer: 11407940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 33778*v - 17091659. What is m(506)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 6580. Let b(s) = 3*s + 19716. Give 4*b(u) - 11*z(u).\nAnswer: u + 6484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116052 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.34827 years to decades.\nAnswer: 8.734827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 2, p: 2, v: 1, k: 2, t: 1}. Give prob of sequence pk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2646, 13097, 23548, 33999?\nAnswer: 44450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/((-78)\/(-45)). Let x(f) = -3*f**3 - 49*f**2 - 126*f - 17. Let n be x(-3). Which is the third smallest value? (a) n (b) 5 (c) l (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**6\/30 + w**5\/20 - w**4\/6 - 18*w + 2. Let r(a) be the first derivative of j(a). Factor r(u).\nAnswer: u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - ((-15 - -9) + -4 - 0 - 4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*k - 10, u + 2*u = k - 9. Let r(s) = -7*s + 2. Let x be r(u). Let f = 6 - 4. Solve -3*l = 4*g, -2*l = -2*g + x - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.990172 - -32.97. Round p to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 895*t. Let q(c) = c**2 - 449*c. Give -4*n(l) + 7*q(l).\nAnswer: -l**2 + 437*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 21 + 6. Suppose 2*w + z = 3*w. Calculate the lowest common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*b + 1694, 8*b - 3388 = 4*b + 5*q. Calculate the lowest common multiple of 968 and b.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -1, -5 in decreasing order.\nAnswer: -1, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*a + 3*y, 0*a + 4*y = -4*a + 32. Put a, 3, -3 in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11)**(10\/13)\/(j**35)**38 assuming j is positive.\nAnswer: j**(-17180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:27 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2541 + 15?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*k - 5*q - 55 - 2, 3*q + 33 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 67*q**2 - 5*q. Suppose 136*m - 1107 = -155. Let d(r) = -101*r**2 + 7*r. Give m*p(u) + 5*d(u).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 24. Let v = 7 - g. Let u(z) = -2*z**2 - 5*z. Let i(b) = 4*b**2 + 9*b. Let y(w) = v*u(w) - 4*i(w). Find the second derivative of y(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233 - 233 + 45*j**2)*(-1 + 20*j + 13*j + 7*j)*(0*j**2 + j**2 + 0*j**2).\nAnswer: 1800*j**5 - 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -156*s + 157*s - 22, 4*s - 3*m = 12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g + 40. Let v be u(0). Suppose 3*q - t - 11 - 35 = 0, 3*t + v = 2*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7838 is divided by 3860.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 + 23*m**3 + 5*m**3 - 10*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Which is the biggest value? (a) -0.08 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 923101 or 923102?\nAnswer: 923102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**3 + 2*p**2 - 3*p + 1. What is the remainder when b(2) is divided by ((-3)\/(-6))\/((-32)\/(-1152))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (2*sqrt(209))\/sqrt(11)))**2 - 2*(sqrt(684)*1)**2*-4.\nAnswer: 8*sqrt(19) + 5552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 5*q + 41, -2*p + 15 = 5*q. Solve -2 = -2*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3783 - -8328. Calculate the highest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b**2*m + 11*b**2 + 7*b*m**2 - 64 with respect to m.\nAnswer: -15*b**2 + 14*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/((-848)\/530). What is the third biggest value in g, 0.3, 0.7, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 2*d + 4. Let y(i) = i + 16. Let h be y(10). Let a = h + -30. Let q(p) = p**2 - 1. Determine a*q(x) - n(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 41631.6512 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y - 10*y + 6*y + 6. Calculate f(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275364 by -91788.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -398 or -13124\/33?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424609*m**2 + 5322197*m**2 + 1897457*m**2.\nAnswer: 6795045*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 1256*g**2 - 4 + 0*g**3 + 14*g + 1273*g**2. Let r be z(-16). Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 5*p**4\/4 + 8*p**3\/3 + 17. Find the third derivative of h(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -28*f + 5*z - 20 - 69, z + 9 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 4, 2, -39, -4 in ascending order.\nAnswer: -39, -12, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**5\/120 - 7*s**4\/24 + 13*s**3\/6 - 3*s**2\/2 - 36*s. Let t(l) be the second derivative of x(l). Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 3*s - 10*s**4 + 4*s**4 - 33*s**3 + 0*s**2 - 10*s**4 + 5*s**4 to d*s**4 + a*s**3 + h*s + k + r*s**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 15444*n**2 + 88 + 15450*n**2 - 30890*n**2 + 52*n = 0. What is n?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/21 (b) -31 (c) -2\/25 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 29327 = 25739. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*x - 8*x, 0 = 4*x + 5*y - 13. Let n be (x + -3)*1850\/3. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151\/2114*1491\/(-15) + (-14)\/(-2)*1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*j = 33 - 11, 0 = -s - j + 3. Let f be 6\/8*(s + -5). Is f smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 22*j**3 - 3*j**2 + 2*j - 3. Let z(b) = -43*b**3 + 5*b**2 - 3*b + 5. Calculate 5*s(r) + 3*z(r).\nAnswer: -19*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3\/3 + 2*t**2 + 98*t - 47. Does 43 divide q(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppjppppppppppppp. What is prob of sequence ppjp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16524, 16534, 16556, 16596, 16660, 16754?\nAnswer: 16884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose 40 - 49 = -15*s + 66. Solve s = -t*m + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 15296649?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (33367*c + 1 - 16685*c - 16679*c)*(2*c**3 - 4*c**3 - 2*c**3) as i*c**4 + h*c + f*c**3 + k + q*c**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1000063 <= -1000177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)*(-32 + 35). Let p(r) be the first derivative of 4*r**2 - 4*r - 4\/3*r**b + 12. Factor p(q).\nAnswer: -4*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 615*p - 5224. What is a(-8)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 156. Let o be l(0). List the prime factors of ((-7)\/(-2))\/((-162)\/o - 1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a factor of 9301476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2725*w + 5707520 = 2885*w. What are the prime factors of w?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*d + 0)*(-1 + 4 - 2) + 2*d + d - 2*d)*(-70 + 177 - 328 - 2*d).\nAnswer: 2*d**2 + 221*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -124*t**3 + 3*t**2 - 3*t + 3. Let b(l) = -3223*l**3 + 77*l**2 - 77*l + 77. Give 3*b(c) - 77*x(c).\nAnswer: -121*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/125)\/(1\/(-10)). Let q = t - -298\/45. Let y = 3 - -2. Sort q, y, 2, -1\/5 in ascending order.\nAnswer: -1\/5, q, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-75)\/10)\/((-243)\/(-18)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 3072 = -10*q. Calculate the common denominator of -41\/10 and 100\/q - 1\/4.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 184.\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-18)\/h))\/(((((h*h*((h\/h**30)\/h)\/h)\/h)\/h)\/h*h)\/h*h))\/(h**(-2\/5)*h*h*h**(21\/2)) assuming h is positive.\nAnswer: h**(389\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/1*(-44)\/(-110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 - 211.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 24. Let t be (-3)\/j - 6\/4. Calculate the least common multiple of (t\/(-6))\/(3\/81) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662615 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.004 and -298?\nAnswer: 1.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1710 + 1808. Suppose 35 = 2*y + 2*c - 33, 0 = 2*y - 4*c - 62. What is the remainder when g is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3024*91 - (1 - 4\/3).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11.067 * -6.5\nAnswer: 71.9355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115 - -99) + (1 + -3 + 1 + 1 - 16).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.34 + 0.34. Let h = -24.428 + 0.028. Let g = n - h. Which is the third smallest value? (a) g (b) -1\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.47, 3.5, -0.2, -82?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 7:07 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29*i + 188. Let x be j(6). Solve 12*r = x*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 19, m: 1}. Give prob of picking 2 k and 1 m.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136) - (sqrt(136) + -1*sqrt(136) + sqrt(136))) - sqrt(136))\/(sqrt(24)\/(sqrt(3) + (sqrt(3) - sqrt(3)*-1))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/6 + 188*s\/3 - 377\/6 = 0.\nAnswer: -377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1003 + 1237. What is the least common multiple of 60 and g?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.8 + -24. Let o = x - 6. Which is the closest to -2\/3? (a) -3 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from {s: 7, a: 3, h: 4, w: 2, c: 1}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**2 + 0*b + 0 + 0*b**3 - 1\/2*b**5 + 1\/6*b**4 = 0. What is b?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 - 5a8314?\nAnswer: -5a8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/4 + 7 + -3)\/(-2). Suppose 3*m - 2*y + 7*y - 12 = h, -3*m = -2*y + 9. Let k(r) = 3*r**2 - r. What is k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from jkkljgmb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 3*i - 129, -5*p = -4*i + 372 - 272 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 30*g**2 + 12*g + 31. Give u(15).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 20*h - 18*h - 58, 2*h + 12 = 0. Solve -2*l + 2 = -2*b, 26*b = 21*b - 4*l - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65903.\nAnswer: 59, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 844b3 (base 12) in base 10?\nAnswer: 173511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-96)\/3*9\/12. Let r be 18\/45 - 92\/5. Let a = r - c. What is the lowest common multiple of 13 and a?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 1 + 1)*(182*u - 1 + 4*u**2 - 536*u + 207*u + 343*u) in the form s*u**3 + j*u**2 + m*u + i and give j.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -49 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475 + -1131. Let g = i - -594.8. Let c = 58 + g. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 14. Let y be a(-10). Suppose -1 = -2*x + 1, 4*x = -y*u + 4. Suppose 0*s = 2*f + 3*s - 379, u = 2*f + 4*s - 378. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1812.042 + -1807. Let r = n + -5. Let g = 0.04200073 - r. Round g to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/19)*k*k*k)\/(k*k**(1\/3))*k**23\/k**24 assuming k is positive.\nAnswer: k**(56\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21*d + 15. Give z(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1335a96 + 0?\nAnswer: 1335a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-3)\/18)\/(-9*(-7)\/(-378)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Suppose 3*n - 2 = -4*o, r*o - 4*n - 12 = -2*n. Solve -l - o*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - l = 10, -14*u + 16*u = -4*l - 4. Let d = 5713.19 + -5689. Let r = d - 0.19. What is the closest to -1 in -3\/5, u, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492847740 divided by -6084540.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3165715\/213 - -44594\/3. Let t = m + -9117\/1562. Calculate the common denominator of t and ((-145)\/10 - -1) + (-1)\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 45*b + 7 - 46*b)*((5*b - 2*b - 2*b)*(-2 - 3 + 2) + 3*b - 4*b + 0*b + (0 - 2 - 1)*(-3*b - 4*b + 5*b)) as q + n*b + p*b**2 and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -523, -524, -525?\n\"Answer: -q - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12254 (base 8) to base 6\nAnswer: -40300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5708 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2594911*6.\nAnswer: -15569466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Suppose -h + n*h = 20. Suppose 0 = h*q - 168 - 348. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 19 = -5*x + 150, 9*r = 4*x + 787. Calculate the least common multiple of r and 1547.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(-2*n - n - 3*n) - 18*n + 45*n - 18*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*j = -a + 11, a + j = -7. Let z = a - -8. Suppose z*m - 14 = 31. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/1 - -327) + -1. Let g = z + -119. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/2)*c))**(-4\/7)\/((((((c\/(c**7*c))\/c)\/c)\/c)\/c)\/c*c*c**(-3\/10)*c))\/((c*c**1)**(-9))**(-4\/9) assuming c is positive.\nAnswer: c**(181\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 2*b. Let j(v) = -4*v**2 - 3*v. Let h(q) = -q**3 - 3*q**2 + 4*q + 4. Let x be h(-4). Let d = 8 + -14. Determine d*g(y) + x*j(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 46480700 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532 = -7*z + 567 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796918554 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -2\/7, 775?\nAnswer: 775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -32. Let c = 2 - g. Calculate the remainder when -5 - 6\/(18\/(-69)) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 8*s + 4. Let k be v(-4). Let a = -56 + k. Let m be (-5544)\/a + (-1)\/5. Round m to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70334, 281342, 633014, 1125344, 1758326, 2531954?\nAnswer: 3446222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 366392*k*o + 855090*k wrt o.\nAnswer: 366392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/16)\/1)\/(3\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-1) - 48600\/(-972)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -508 + 983. Calculate the highest common factor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-4 + (-12)\/(-4)). Let q = 7 - v. What is the lowest common multiple of 10 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93886330909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a + i + 5, -3*a - i = -5. Let w(o) = -a + 0*o - 2*o + 3*o. Let c(h) = -h**2 - 7*h - 6. Let r be c(-6). Determine w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-7)\/(98\/(-35))))\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:28 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 107, 244, 447, 722?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = -3*r, 0 = p - 2*r + 2. Find c such that 1\/3*c - 1\/6*c**p + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 678*q**2 - 4*q. Let g(b) = -3*b + 82. Give a(g(s)).\nAnswer: 6102*s**2 - 333564*s + 4558544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -3\/503, -0.2?\nAnswer: -3\/503","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 31, -0.5.\nAnswer: -0.5, 2\/3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 2*f**2 + 5*f - 8. Let c be a(6). Suppose -11*k + c = -k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1, 250.6, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + 23. Suppose 3*s + 2*w = -77 + 15, -4*s + 2*w = u. Let f = 58\/3 + s. Put 0.2, 0.1, f in decreasing order.\nAnswer: 0.2, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 25*x + 24. What is m(25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51246 and 45895538.\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:21 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 3*z + 12 + 0*z - 4*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106325887 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 18*h - 38. Let x be k(20). Let v be (-2 + 1)\/(4\/(-12)) + x. Suppose -5*f + 5*p = -5, 3*f - v*p = f + 5. Solve -5*u = 5*l, l = -f - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3839564686 + 6.\nAnswer: 7.3839564686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2264.01257 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-110)\/72*(26\/1 - (-198 + 222)) and (-1201)\/990 + (-4)\/(-10).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 - 25 = 0. Suppose 2*q = -3*z + x, 3*z - 6*z - q = -9. Suppose -z*w - 2*w = -414. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5 - -4185279.\nAnswer: 4185276.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000001000011 + -1001?\nAnswer: -11011000001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4520*t - 4533*t - 4529*t - 4554*t + 18128*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63029939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/45)\/(-2)*(1356 - 1452)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ksxkoxxkoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*n + 50, y + 5 = -0*n + 5*n. Let q(g) = -12*g + 127. Let k be q(11). Let o = k - y. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89642785, -89642755, -89642727, -89642701, -89642677, -89642655?\nAnswer: -89642635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**2 + 6*r - 27. Let c(o) = 5*o**2 - 3*o + 9. Let q(z) = 3*b(z) + 8*c(z). Suppose 3*n - 45 = -4*a - 10, a - 9 = -n. Calculate q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 103. Let w = -99 + d. Suppose 4*z = -z - 45. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1822 - -4362. What is the remainder when f is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5 - 78*(-6)\/(-60)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-9))\/z*z)\/(z**10\/z*z))\/(z**(-2\/5))**(3\/5) assuming z is positive.\nAnswer: z**(-444\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/22, 0.69, 8, 18.\nAnswer: -37\/22, 0.69, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)*t\/(t**(1\/11)*t*t))\/(t\/(t**(-1)\/t))**(-9) assuming t is positive.\nAnswer: t**(1929\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 + 4. Let b(a) = a**3 - 2*a**2 - 3*a - 2. Let g be b(3). Let x be ((g + 2)\/(-1))\/(-2). Let q = x + -3. What is n(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -16 - 0 - (6 + 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1 + 7 - h**2 + h - 4. Determine r(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1\/14 (b) 2\/9 (c) 3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - 4*q - 4. What is h(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58624 + 58624 - 445*r)*(r**3 + 3*r**3 - 2*r**3).\nAnswer: -890*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f**3 - 122*f**2 + 248*f + 2098. Calculate t(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 12 + 0*l - 5*l - 3*l + l.\nAnswer: -7*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 3*m - 3. Let a(o) be the second derivative of 25*o**4\/12 - 35*o**3\/6 - 35*o**2\/2 - 70*o - 1. What is -3*a(y) + 35*s(y)?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5 - 59*f + 2 + 105*f. Let p = -17 + 18. Does 3 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 + 453*r**2 - 1791*r - 5400.\nAnswer: -3*(r - 600)*(r - 6)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 7)*1*(-3)\/5. Let s(f) = -f**3 + 4*f**2 + f - 4. Let i be s(4). Solve i = 4*z - n + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546914623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/276 and -58\/33.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -0.1, 8, -0.4, 11, 2\/15?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -64 + 25. What is the greatest common divisor of s and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1690 and 56\/793.\nAnswer: 103090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 572 and 726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.6274mg in micrograms?\nAnswer: 349627.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.93 + -16. Which is the second smallest value? (a) i (b) 2\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4613831 and 18053.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4 - 0. Suppose q*t = -t + 165. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63197?\nAnswer: 63197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q - 3*z - 0, -3*q = z - 7. Solve 2*v - 15 = -q*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572626857 to the power of 1\/2, to the nearest integer?\nAnswer: 39656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 - -25 - 5\/(5\/(-6)). Find the third derivative of 102043*t**3 + 107*t**4 + 153*t**2 - a*t**4 - 102041*t**3 wrt t.\nAnswer: 1560*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*6)\/(6*sqrt(275)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11.6. Suppose m + 3 = -0*m. Let s(t) = 2*t**2 + 5*t + 2. Let x be s(m). Put -5, x, o in descending order.\nAnswer: x, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3168 and -2399?\nAnswer: 760.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 + o - 4*o)*(-5*o + 7*o - 3*o + 8).\nAnswer: -2*o**3 + 19*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110110111?\nAnswer: 110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((21\/9)\/(4\/12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - 3*(-2*sqrt(84) - sqrt(84))))))\/(1*sqrt(972)) + -4.\nAnswer: -4 + 11*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - g**2 + 39*g + 12. Let v be o(-7). Let d(l) = -359*l - 362*l + v*l. Let j(h) = 45*h**2. Give d(j(y)).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 4429372?\nAnswer: -4429370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.6, -1\/3, -77\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 7:32 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 68691800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n - 46*n - 50*n.\nAnswer: -79*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.58616 to 2 decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -4 (c) -1129 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4957291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -609, -908, -1205, -1500?\nAnswer: -1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*b)*(b - b - b - 83*b - 30*b - 15*b + (2*b + 0*b - 3*b)*(2 + 2 - 3))*(-3*b + 6*b - b).\nAnswer: 1040*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 4, 61, 2, 8, 0, 3 in increasing order.\nAnswer: -244, 0, 2, 3, 4, 8, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9925745, 19851497, 29777223, 39702911, 49628549, 59554125, 69479627, 79405043?\nAnswer: 89330361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/4 - 2*m**4 - 7*m**3\/2 + 5*m**2 + 39*m\/4 - 9 = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.6 less than 2235176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1162745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1383512470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/259, -5, -1?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1698 - 10187\/6. Let l(g) be the first derivative of 0*g - 9 - o*g**3 + 3\/4*g**2. Find f such that l(f) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.1 - 19. Which is the closest to y? (a) -4 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1, 0, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 44 - (1 - (-5 + (7 - 2)))) + 7?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let v(y) = 3*y. Let j(p) = -5*r(p) - 3*v(p). Let n(k) = 14*k - 14*k - k**2 + 5*k**2. Give n(j(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 11) to base 9.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9)*(-3)\/79. Which is the smallest value? (a) 2\/19 (b) -3 (c) j (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83509.71551 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204220400457 + 5.\nAnswer: 1204220400462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 95, 131, 153, 155, 131?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 376 - 376.1. Let r = 0.2 + 0.3. Suppose 4*k - 6*k - p - 6 = 0, 2*k - p = -2. Which is the second smallest value? (a) r (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -2, 47 in decreasing order.\nAnswer: 47, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = x - 0*p, 0 = 3*x + 4*p + 20. Suppose x = -l + 2*r + 38, 0*l = 3*l - 2*r - 110. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-82)\/(-1) - 1*-2. Let g = t - 671\/8. Let a be (36\/(-6) + 4)*2\/20. What is the closest to 1\/4 in g, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.2 (b) 0.03 (c) 120 (d) -0.4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103b + 7?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55999 is divided by 450.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 4, b: 6, v: 6}. What is prob of picking 3 b and 1 i?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 52*x**2 - 21 + 43 + 228*x**2.\nAnswer: 176*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 9*k - 66. Let f be r(-8). Let m = f - -134. Solve -4*l = 8 - m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7783842 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 3*p + 160 = 0. Let u be (-4)\/p*(2 - -42). Let d(r) = 4*r + 42. Let n be d(-8). Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4095)\/1092 - 4067\/(-1092)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 463002*q**3 + 567680 with respect to q.\nAnswer: 1389006*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4219698225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8711, 34848, 78411, 139400, 217815?\n\"Answer: 8713*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.52 and 0.01.\nAnswer: -0.1252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/160 - 79\/160. Let w be 0 - (-2 - (1 + -5)). Is o >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-104)\/24 - 2\/3)\/(-1). Suppose 0 = 7*r + h*r - 228. What is the greatest common factor of 608 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -498000 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 0 in descending order.\nAnswer: 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166460 and 15196?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 112. Let j = 8 - 5. Let n = -2 + j. Which is the smallest value? (a) g (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 6021?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10\/19, -5, 0.3, 6.36 in descending order.\nAnswer: 6.36, 1, 10\/19, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 23*q**3 - 2*q**2 - 5*q - 8. Let j be (20\/(-12))\/(-5)*18. Let u be s(j). Let d = u - 3267. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.4. What is the second smallest value in -0.2, y, -0.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:14 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635296236?\nAnswer: 2, 3, 19, 107, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 7581862.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/6, 0.2, -1\/11.\nAnswer: -1\/11, 1\/6, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 460 - 458. Sort -4, s, -845.\nAnswer: -845, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:16 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 3*r + 5. Let c be s(4). Let p(b) = -b**2 - b + 4. Let j be p(-3). Let t be ((-5)\/(-9) - 1)\/j. What is the third biggest value in t, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/120 + 7*r**5\/60 + r**3\/3 + 5*r**2. Give o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/24 - 19*t**3\/12 + 119*t. Let s(l) = 0. Calculate l.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2653898 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + (9 - 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + -23.8. Let k = 72 + -26. Let s = k + c. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.005293025.\nAnswer: -0.005293025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(68) + sqrt(17) + (4*(1 + sqrt(17)))**2 + 1 + (3*sqrt(1088) - sqrt(1088) - (-1 + sqrt(425))).\nAnswer: 46*sqrt(17) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18817*n**2*t**2 - 7256*n**2 + 799*n + 723*t**2 wrt t.\nAnswer: -37634*n**2*t + 1446*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5048640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Let y = 7 - m. Let p = y + 9. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -41*y - 4. Is 19 a factor of h(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:13 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 - (-7 - -9 - (2 + 3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 97. Calculate the greatest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from {y: 2, v: 9, m: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/17)\/(n*n**(-5))*n**1*n**(-2)*n**(-2\/5)*n**6*(n\/n**(1\/3))**(-20) assuming n is positive.\nAnswer: n**(-1177\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/18 + 17\/72. Let t be 1\/3 - 4\/3. Sort -0.08, t, x.\nAnswer: t, x, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Sort h, -5, 2.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069*1\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.030431 hours in seconds?\nAnswer: 7309.5516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175410 + -1145?\nAnswer: 174254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 852306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52940 - 12675. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 11 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -12, -2\/11, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/10 - 43*q**4 - 6912*q**3 - 489888*q**2 - 12597120*q + 136048896\/5 = 0.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(288) + sqrt(18) + (sqrt(18) + (sqrt(288))**2)*-4 + -2 + (sqrt(98) + 1*sqrt(98))**2*-5.\nAnswer: -3114 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 1\/10, -15, 0.26?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -6*u**2 - 1697*u**5 + 25*u**2 + 18*u**4 + 1700*u**5 + 33*u**3 - u**2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965 divided by -187?\nAnswer: -5965\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 2*v + 37 = 3*g - y*v, v - 79 = -5*g. Let m be (-89)\/(-15) + 20\/300. Calculate the highest common factor of m and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123650 - 2?\nAnswer: 123645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 11*k - 13. Let c be x(-9). Let s(j) = -2 + 2 + c*j - 3*j. Let p(i) = 2*i. What is s(p(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125.5 and 27310.7.\nAnswer: 3427492.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9925696?\nAnswer: 2, 11, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386202506, -772405012, -1158607518, -1544810024?\nAnswer: -1931012530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 2*h.\nAnswer: 2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/5)*v**(-14\/9))**(-12\/7) assuming v is positive.\nAnswer: v**(-8\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 52371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 5, 314, 1\/56, -2, 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7 = -3*a, -4*z + 138*a = 142*a + 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832919722.\nAnswer: 2, 37, 83, 331, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 55*m + 57 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 432, 631, 830, 1029, 1228?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293884196, 587768390, 881652584, 1175536778?\nAnswer: 1469420972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -960281*f**2 - 94179*f - 4 wrt f?\nAnswer: -1920562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -81*z - 19. What is the hundreds digit of m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -87*i**3 - 65*i**2 + 40*i - 7. Let c(w) = -59*w**3 - 44*w**2 + 28*w - 5. Give 10*c(o) - 7*z(o).\nAnswer: 19*o**3 + 15*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 6*d + 8. Let a(n) = n**3 + 10*n**2 - 9*n + 16. Let q be a(-11). Let x be f(q). What is the highest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/117)\/((-2)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5489*h + 5475*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -99.8.\nAnswer: -99.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Suppose -5*q + 5*w = m, 5*w = -4*q + 30 - 7. Solve -3*y - 20 = 5*b, -4*b - 4*y = -q*y + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17*a**2 - 4*a + 1. Let u(n) = -52*n**2 - 11*n + 3. Let l(b) = 11*s(b) - 4*u(b). Calculate the lowest common multiple of 8 and l(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20 - (-2920)\/(-280)) + (-9)\/(-6)*-6. Which is the nearest to 1\/3? (a) -0.08 (b) i (c) -0.3 (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 15. Suppose -2*z + k - 1 + 13 = 0, -o*k = -5*z + 30. Solve -2*c + 0*c = z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5298926 + -2.53. Round w to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*m**5 + 176*m**5 - 39*m**5 + (-m**4 + 2*m**4 + m**4)*(1 - 1 + 3*m) + (3*m**3 - 3*m**3 - 2*m**5)*(-3 + 2 + 3).\nAnswer: 201*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8441*c**5*o + 2*c**2*o**2 - 4*c*o - 705*o**2 - 3*o wrt c.\nAnswer: -168820*c**3*o + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w - 3*m - 4, 0 = -5*w - 2*m - 4. Suppose 5*r + r - 108 = w. What are the prime factors of 7\/((-7)\/r)*-13?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158838 - 17?\nAnswer: 158821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c + u + 3, 4*c - 3*u = 9. Let t be -6*(-1 + c)*(-100)\/(-120). Let r = 4 + 1. Solve -2*l = -6, t*n - 5*l + 10 = -r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6*h - 8 = 0. Suppose -129 - h = -x. Suppose -5*l - 7*v + 3*v = -91, 2*l - 37 = -v. Calculate the greatest common factor of x and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 5, 0.3, 2\/15, -292?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 6*d**3 - 2*d**3 + 20*d**3 - 12*d**2 - 1 - 8*d**3 to the form y*d**3 + a*d + j + v*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/1161, 2\/11, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 = 5*i + 10, -4*n - 4 = -2*i. Suppose -16*v**2 - 27*v**i + 63*v**3 + 7*v + 18*v**2 + 5*v - 50*v**2 = 0. What is v?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 17*q = 40, -51*m + 27*m - 50 = -27*m + 3*q - 20 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/36)\/(40\/(-72)))\/(22\/(-18810)*19)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201274?\nAnswer: 2, 157, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1311 + -1430 + -3 + 63.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4*-2*10. Let t(u) = 2*u**3 + 8*u**2 - u. Let k(b) = -b**3 - 4*b**2 + 1. Let s(m) = 5*k(m) + 3*t(m). Determine s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 2*j**2 + 2*j + 1. What is x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0 + 0)*(-3 + 3 - 2*o**2 + (4 - 4 - o)*(-4*o + 3*o + 0*o))*(-o + 1 - 1).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 530, 1729, 4094, 8021, 13906?\n\"Answer: 66*z**3 - 11*z**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 + 4*p + 4. Suppose 0 = k - 1 - 2. Suppose -k*l - 8 = 1. Give t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 3*r**2 + r + 66. Let w(v) = 9 + 122 + 88*v**2 + 2*v - 7*v**3 + 5*v**3 - 93*v**2. Let d(y) = -5*a(y) + 3*w(y). Differentiate d(i) wrt i.\nAnswer: 12*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/14 + (-279)\/63. What is the tens digit of (1 + c - -4)*22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -420 at least as big as -7125\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -10\/3 (c) -1\/4 (d) 0.11 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141000 - 31?\nAnswer: 140636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 642750560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -508, -1042, -1566, -2074, -2560, -3018, -3442?\n\"Answer: z**3 - z**2 - 538*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzpw when four letters picked without replacement from wpdhzwp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 19*u - 14*u - 14, 4*u = 2*y + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 60*a**2 - 2878*a - 124. What is b(48)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289.8*2225.\nAnswer: -644805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181956 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1157*u**5 + u - 162 wrt u?\nAnswer: -23140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = p - 110, -6*p + 2*p = -3*c - 459. Suppose -4*g + 2*o = -p, o + 214 - 64 = 5*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i - 7*i**2 + 19*i + 20*i - 58*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -992, -1632, -2310, -3044, -3852, -4752, -5762?\nAnswer: -6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h + 121. Let j be p(-28). What is the units digit of ((-100)\/30 - -6)*j\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 16, 85, 182?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 10.49. Round p to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -87 (b) 0.5 (c) 0.03 (d) -1219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 8*n + 4. Suppose 3*x + 12 = 3*j - 6, 33 = 4*j - 5*x. Let r(w) = -4*w**2 + 7*w - 5. Calculate j*t(z) - 4*r(z).\nAnswer: z**2 - 4*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29903255*m*t**3 - 744*t**3 + 211*t**2 + 3*t wrt m?\nAnswer: -29903255*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 889310679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 767*h**3\/3 + 6137*h. Let s(w) = 5*w. Determine u(s(l)).\nAnswer: 7670*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 717, 712, 697, 666, 613?\n\"Answer: -n**3 + n**2 - n + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 524353229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(55\/10)*16. Suppose j = 5*p - 80, 2*j = 2*p - 3*j - c. What is the remainder when 79 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 1. Let g(m) = m**2 - m + 2. Let r(k) = g(k) + 2*h(k). Let s be r(1). Let f be (-4)\/2 + 2\/s. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5460 is divided by 5284?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + v**2 - 25*v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + q = -2*q + 125, -68 = -2*d + 4*q. Suppose -2*u = -d + 6. What is the greatest common divisor of 52 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 4) to base 14.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292302491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4\/3 (b) -1\/5 (c) -0.086856 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0445 - 1801?\nAnswer: -1803.0445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 24. Let j = -12.56 + y. Let k = j + -0.43914. What is k rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544590 is divided by 308918.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3994918162 to the nearest integer?\nAnswer: 63205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -190275 divided by -2537\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11517*-1.\nAnswer: -0.11517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7438098083\/2973 + -2501883. Find the common denominator of 37\/21 and v.\nAnswer: 20811","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654.303823 rounded to 1 decimal place?\nAnswer: -654.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13 + 15 - 5 + 3*k. Determine z(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 8*r - 10. Let t(c) = c**2 + 2*c - 2. Let u be 0 + -1 + (-11 - (-77)\/7). Let q(z) = u*a(z) + 3*t(z). Let q(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 - 95. Let n = 172 - t. Suppose 0*z + 4*z - n = 0. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19664.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-6)\/(-720)*8). Solve -q*f - 22 = -3*z + 6*z, 5*z = -5*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 29\/16 - (-9904895)\/(-1234896)?\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 71. Calculate the greatest common divisor of r and 9793.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003741 to 5 dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12302415 (base 6) in base 13?\nAnswer: -10ba10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-5)\/8 + (-45)\/12. Sort -10, k, -25 in descending order.\nAnswer: k, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01209318 and 0.04?\nAnswer: 0.0004837272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*w - 29. Let h(a) = a**3 - 5*a**2 - 4*a - 17. Let m be h(6). Let u = w - m. Solve -4*b - b - 3 = -2*g, -u = g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389286 and 596808?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/1 - (5 + -8 + 5). What is the common denominator of 101*a\/240*2 and -33\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14092 - 14090.9. What is the smallest value in 2, d, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(0*s + s + 0*s + 3 + s - 3 + (1 + 0 - 2)*(s - s - 2*s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6402731133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 528*j**3 - 187*j**2 + 187*j. Let l(k) = 17*k**3 - 6*k**2 + 6*k. Suppose -22*q + 4182 = 12*q. Let u = 117 - q. Determine u*p(s) + 187*l(s).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y + 19. Let n(v) = -v**2. Determine n(i(w)).\nAnswer: -25*w**2 + 190*w - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/2*((-36)\/16)\/(3213\/952)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -60*p - 4 + 55*p + p**3 + 21 + 4*p**2 + 2*p**2. What is the remainder when 9 is divided by z(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-116)\/(-12) - -5. Let d = 12 - 11.8. What is the nearest to -2\/5 in z, d, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*g - 138*g = 75480. What is the hundreds digit of 1\/((-3)\/g) + 2\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 7*w**2 + 8*w - 9. Calculate h(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 547, 1786, 3851, 6742?\n\"Answer: 413*o**2 + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -100*b**2 + 2*b. Let u(r) = -4199*r**2 + 85*r. Give -85*l(x) + 2*u(x).\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.1226ml in litres?\nAnswer: 0.6861226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*c + 0 - 10\/3*c**3 + 2*c**2 + 2\/3*c**5 - 2*c**4 = 0. What is c?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:51 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 993 - 979. Solve a - 15 + b = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73303, -293077, -659383, -1172227, -1831615, -2637553, -3590047?\n\"Answer: -s**3 - 73260*s**2 + 13*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from azzazzazzaazz.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*p - 92*p - 6807 = -137*p + 2337. Let s be (8\/6)\/((-2)\/(-486)). Calculate the greatest common divisor of p and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 367060643487?\nAnswer: -367060643483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.018 + -4.38. Let a = s + -1.638. What is the fourth smallest value in a, 3\/4, -3, 0.12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g + 14. Let i be b(-10). Suppose y = -i*y + 45. 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 next in 1839, 1845, 1863, 1899, 1959, 2049, 2175, 2343?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmsmqmqmqmqmmqmm. What is prob of picking 1 p and 1 q?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.02. Let z = t + 5.98. Let i = z + -3. Is -1 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 117, -5, 3, 17 in decreasing order.\nAnswer: 124, 117, 17, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -31*w**4\/24 + 2*w**2. Let m(a) = 13*a**2 + 8*a + 8. Let r(x) = -3*x**2 - 2*x - 2. Let g(f) = -m(f) - 4*r(f). Give l(g(v)).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.329876 to 3 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 6584*k + 19 + 12 + 4825*k to v*k + b and give v.\nAnswer: 11409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/9)*n)**47*(n*n*n**(-1\/2)*n)**(-40))**(-22) assuming n is positive.\nAnswer: n**(9460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let h = 3.24 + -4.24. Put 2\/7, y, h in descending order.\nAnswer: 2\/7, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210896, -210632, -210192, -209576, -208784, -207816?\nAnswer: -206672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(72) + sqrt(72) + sqrt(72) + -3)**2) - (-5 + (-1*sqrt(72) - sqrt(72)) + 4).\nAnswer: -3264 + 552*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-180)*(-10)\/(-12).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -66928 divided by -66928\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1823\/12 - -152. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 22 + 20 = 0. Solve -5*q + m = 23, -6*m = -5*q - d*m - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -24)*12\/(-18). Find the common denominator of 1315\/(-182) - o\/(-91) and ((-50)\/20)\/((-6)\/26).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1064, 4111, 9208, 16373, 25624, 36979, 50456, 66073?\n\"Answer: 3*r**3 + 1007*r**2 + 5*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -30*u**2 - 8*u + 8. Let a(j) = -10*j**2 - 3*j + 3. Determine -8*a(f) + 3*m(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1170)\/(-637)*-7*(-20)\/(-50)?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/318637972 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:33 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555309 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*r - d + 684056, -2*r + 273619 = -3*d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 16, z: 2}. What is prob of picking 2 y?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -247*g**2 - 2. Let i(t) = -4*t. Give j(i(f)).\nAnswer: -3952*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(21\/9)*(-6)\/153?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574277 - 154314 = 12349*d for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/2 of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3\/2. What is the closest to 1 in -0.5, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 94 + 659. Let h = 117 + a. Solve -g = -5*g - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 + 7*z + 3. Suppose -4*b + 0*b = 8. Let s be n(b). Suppose s*q + 378 = 32*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 608 = 2*u, 1012 = 5*z - u + 5*u. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = m + 8, -5*k = -m - 3*m - 15. Let y(r) = 3*r - 7. Let d(b) = 3*b - 7. Let g(f) = m*y(f) + 4*d(f). Determine g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n = 343 - 1111. Solve n*v - 6*v = r + 8, 0 = 3*r + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*s**2 + s**2 - 1161 + s + 658 wrt s?\nAnswer: 22*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138322651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -33. Sort 3, k, 5 in decreasing order.\nAnswer: k, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(-5*15\/225).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d. Let u be r(1). Let x be ((-12)\/u)\/((-4)\/(-20)). Let z be -2*(1 + 21\/x). Solve 3*b - g + 2 = -2, 40 = -z*b - 5*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1712 + 574 + 569 + 62*v - 23*v**3 + 568 in the form f*v**3 + k + m*v**2 + o*v and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-130)\/78)\/(10\/(-225444))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155902 is divided by 1497.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 0 + 45*u**3 + 289*u**3 - 2 - 2*u**4 + 371*u**3 to o + b*u + i*u**3 + k*u**4 + m*u**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*i + 64, -2*i - 4*y + 60 = -12. Let h = 42 - i. Let p = -10 + h. Round p to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {d: 8, o: 1, y: 3, w: 6}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 24*f - 14. What is the tens digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**5\/u*u*u*(u**(-1\/4)*u)\/u*(u\/(u*u\/u**(2\/7)))\/(u*u\/u**6))**(-2\/7))**(-48) assuming u is positive.\nAnswer: u**(8088\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*x + 680, 5*p + 121*x - 1140 = 123*x. Let r be (-924)\/(-10) + 4\/(-10). Calculate the highest common divisor of p and r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*k - 188 = -176, -4*k + 25 = -5*r - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - 4*t)*((-2 + 3 - 2)*(-1 - 2 + 4) + 5 - 4 + 1 + 1 + 3 - 5 + 2 - 1 + 0 + 8 - 12 - 9).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/5*(-69795)\/5076\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -422 - -432. Solve 6*h - 8 = b*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 7. Let x(d) = -2*d + 6. Let o(k) = -5*g(k) + 6*x(k). Let p(i) = -i + 10. Let j be p(7). Give o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j - 1170 = -156*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -c323 (base 14) to base 7\nAnswer: -166543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4837*d**4 + 118*d**2 - 19*d wrt d.\nAnswer: 116088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32078 and -0.3.\nAnswer: 9623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:48 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20279488 to the power of 1\/2, to the nearest integer?\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 16*y = 5*n + 12, y + 5*n + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0 - 7\/6*l**3 + 0*l**2 + l. Let j(h) = -4*h**2 + 3. Let o(m) = 2*m**2 - 2. Let w(g) = 2*j(g) + 3*o(g). Calculate w(c(d)).\nAnswer: -98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20244*i**2 + 40455*i**2 - 20236*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0838 - -0.7838. Let r be (-7)\/(-3) - (-1)\/(-3). What is the third smallest value in 0.1, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*325.\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 3. Let r be (-1)\/(-5) + f\/(-5). Suppose -y - 5 + 33 = r. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1476232)\/(-49381) + (0 - 30)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + (-2 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21789 - 21719. Which is the closest to -1\/4? (a) 0.1 (b) 9\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -10. Solve 0*s + f = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1861, -7081, -15781, -27961, -43621, -62761, -85381?\nAnswer: -111481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let g = -5 - u. Let d = 2\/51 - 40\/153. What is the closest to 1 in g, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 142680725\nAnswer: -142680725.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9292 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15485, -0.2, 16.\nAnswer: -15485, -0.2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*n + 7 = 1, -2*w = 2*n - 8. Solve -w*b + b + 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 331*l + 329*l = 6, 2*b - l = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*d - 266*d + 344*d**2 - 394*d**2.\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -917 + 919. Differentiate 168*a**2 + 22*a**2 - 199 - 123 + 53*a**2 + 6*a**r wrt a.\nAnswer: 498*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 647795047 - 647795545.3120023. Let t = -498.335 - y. Let l = t + 0.023. What is l rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*4*sqrt(57)\/sqrt(3) + -2.\nAnswer: -1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(891)*-1 + 1 + sqrt(891) + -3*(sqrt(891) - -1*sqrt(891)) + sqrt(891) + (0 + sqrt(891) - sqrt(891)) + 2 + sqrt(891)*-2*-3 + 4))**2.\nAnswer: 3150*sqrt(11) + 23500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 3)\/(4 - 6). Solve -76*o + 80*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4*b + 5. Suppose -413 = -4*q - 29. Suppose q = -5*g + 86. Let z be f(g). Solve -2*c - z = -9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 29*g**2 - 261*g. Let q(m) = -6 - 2 + m + 8. Let l(b) = 2*k(b) + 522*q(b). Let n(o) = 2*o**2. What is n(l(d))?\nAnswer: 6728*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(1\/24)\/((k*k\/k**(-4\/3)*k*k*k*k)\/(k*(k\/(k\/k**(-1)*k))\/k*k*k*k*k)) assuming k is positive.\nAnswer: k**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(140\/24))\/((-12168)\/(-132496)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 28*l**2 - 44*l - 20 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -19*h**2 + 1160*h - 162. Give r(61).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 22 - (-1 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 41 = -2*o. Let h be 4\/(-14) + o\/(-21). Let d = h - 5. Let u(i) = -i**2 - 4*i - 3. What is u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-2*b - b + 0*b)*(0*b - 4*b + 2*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g\/(g\/(g*g**4*g)))))**(-31\/2)\/((g**(-2\/7)*g)\/g)**8)**(-13\/6))**8 assuming g is positive.\nAnswer: g**(38662\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.343755m to millimeters.\nAnswer: 1343.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1656 and 713.\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 135. Suppose -2*f + 4 = 2*r, 5*f - 3*r = r - 8. Suppose -3*m - 16 + 193 = f. Calculate the remainder when m is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7033, 14110, 21203, 28318, 35461, 42638, 49855, 57118?\n\"Answer: o**3 + 2*o**2 + 7064*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3744542 is divided by 66863?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-27))\/(-197 - -199)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(931) + sqrt(931) + (sqrt(931) - (sqrt(931) - (sqrt(931) + 0))) + sqrt(931) + 2) - -5*-1*(-5 + -1*sqrt(931)))**2.\nAnswer: 252*sqrt(19) + 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Let f = -4.97713 + -0.02287. What is the second smallest value in 0.4, -1.6, f, g?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 3, -5, 57 in decreasing order.\nAnswer: 57, 3, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 + 26\/5*p - 1\/5*p**2.\nAnswer: -(p - 21)*(p - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6390 + 2?\nAnswer: -6389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b**3 - 37*b**3 + 67*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 831.\nAnswer: 7479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 105573 (base 14) to base 6\nAnswer: 15502241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 39 = 41. Let a be (k\/3)\/(1 + 95\/(-90)). Solve 2*g + 2 = -a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2893455727.\nAnswer: 227, 541, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174528*a**2 - 3*a**3 - 174528*a**2 + 859 - 856.\nAnswer: -3*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14935, 29902, 44813, 59656, 74419, 89090?\nAnswer: 103657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 24*p**2 + 37*p - 332. Calculate h(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from zmmmmrrzauav?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 91 = 43 + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 814.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14008, 18194, 22380?\n\"Answer: 4186*r + 9822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 less than -1173018?\nAnswer: -1173018.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3343372 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 392.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14678406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 52*i**3 - 33*i**3 - 47*i**3 as p + t*i**2 + w*i**3 + s*i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 85227\nAnswer: 10227.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -722717783 and 221.3.\nAnswer: -722717561.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:04 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3*t - 198*m**3 + 2*m*t*z - 3*t*z + 25*z wrt m.\nAnswer: -3*m**2*t - 594*m**2 + 2*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4426679 to the nearest integer?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2 - (-3 + 5). Suppose -16 = -s*o - 0*o. Calculate the lowest common multiple of o and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 584 - 569. What is the highest common divisor of j and 5685?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and 107\/2853966?\nAnswer: 5707932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7312 divided by 4?\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-1 - -2) - -2)*31. Solve -2*r - b = 5*o, -2*r + 0*r = o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvla when four letters picked without replacement from fvfaafvfftfl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 + 5*k. Let l(n) = -4484*n**2 + 8966*n**2 - 4471*n**2. Give s(l(p)).\nAnswer: -605*p**4 + 55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**22*d*d**(2\/25) assuming d is positive.\nAnswer: d**(577\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**6 + 2*h**5 + 1128052*h**3 - 22381*h**2 - 67 wrt h.\nAnswer: -240*h**3 + 120*h**2 + 6768312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -997824671 take away -6.1?\nAnswer: -997824664.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 300 = -5*l - 0*s, -4*l + 240 = -s. Calculate the remainder when l is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 - (-58)\/18. Suppose -2*h - 16 = 2*h, w*x - 8 = 2*h. Suppose 3*n - 5*n - 5*t + 26 = x, 2*n = -t + 26. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 404024060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 - 106. Solve h = -4*h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(459 + 3*r + 42 - 505 - 131*r**3).\nAnswer: -131*r**4 + 3*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3 + 6*t**4 - 16*t**4 + 70*t**4 + 23*t**4 + 135 wrt t.\nAnswer: 332*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + (-5246)\/(-61) - 58.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 100\/(-8))\/11 and 97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2*7\/4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 84*b + 432 = 0. Calculate b.\nAnswer: 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212274169 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 - 1\/3*g**3 + g**2 + 1\/24*g**4 + g. Factor p(h).\nAnswer: (h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 34*g - 20 = 0. Sort 2, g, 3, -6 in decreasing order.\nAnswer: 3, 2, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 2*u + 3*u**2 - 8240*u**3 + 16966*u**3 - 8357*u**3 to the form a*u**2 + c*u**3 + d + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*b + 483 = 0, -k + 2*b + 338 = -3*k. Round k to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(170) + (sqrt(170) - (sqrt(170) + (sqrt(170) - (sqrt(170) + (-1*sqrt(170) - sqrt(170)))) - sqrt(170)))))\/(5*sqrt(160)) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 529, 1\/5, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 21 = -9*n + 8*n, -5*u = 5*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264375 is divided by 387.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/7 (b) 6\/5 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -11230*n**5 - 291976*n**4 - 1886536*n**3 + 292652*n**2 + 1897766*n - 676 = 0.\nAnswer: -13, -1, 2\/5615, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/7, 0, -0.153 in increasing order.\nAnswer: -30\/7, -0.153, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363875 or 363874?\nAnswer: 363874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -54. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + 112111?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose z*u = -46 + 206. Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Let t be b(-6). What is the units digit of 2\/3 + t\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 38 - 96 + 36 - f**2 - 11*f + 27 - 5*f. Give b(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10123033921\/28131260 + 1\/2813126. Let a = 1455\/4 + c. Find the common denominator of 30\/11 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 11. Determine u(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3210176 and -4.2?\nAnswer: -13482739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/9 - 176*s**3\/3 + 3308*s**2 + 74448*s + 357858 = 0.\nAnswer: -9, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**4 + 848*b**3 + 7298*b**2 - 457872*b + 301752 = 0.\nAnswer: -127, -33, 2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 8. Let x be h(-6). Let r = -47\/28 - -17\/7. Is x at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.032 - -0.032. Let p = g - -22.9999932. Round p to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -4, 3, -2 in descending order.\nAnswer: 3, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(2 + (-11)\/4). Let y = n - 20. Let s = y + 30. 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 4*h - 5551203 = -x, -26*x + 22*x + 6939012 = 5*h. Round h to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1096)\/(-100) - (-6)\/150.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 122244 * 39\nAnswer: 4767516","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 2*p**5 + 2*p**3 + (23 - 23 + 3*p)*(-10*p**4 - 5*p**4 + 5*p**4).\nAnswer: -28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(583\/(-44))*(-2)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0780737 - -0.078. Round i to six decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 234589884195 and 0.3.\nAnswer: 234589884195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2 - -4) + 2. What is the second derivative of 20*v + v**k - 31*v - 6*v**3 wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 10 + 3)*(-2 + 2 - 1)*(18*n + 12 + 0 - 12*n) as w*n + v and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 55. Let b = f + 59. Solve 3*w = -c + b*c, 0 = -3*w - 4*c + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 smaller than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/12 + (-29746)\/3336. Let r(a) = 7*a + 48. Give r(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*a**2 - 2*a**3 + 58*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 5. Let u be v(13). Let g = 6 + -4. Suppose -4*o + u = 0, g*o = 5*s - o - 34. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 3*y**2 - 2*y + 1. Suppose 5 = 26*i - 31*i. Let r(a) be the first derivative of a**3\/3 + a - 1. Give i*p(h) + 3*r(h).\nAnswer: h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813?\nAnswer: 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z + 20*z + 20*z + 9*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -19 = -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p + 3. Let r be 100\/125*(-10)\/4. Let z(d) = -3*d - 3. Determine r*z(o) - 3*b(o).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19923 - 3002039.\nAnswer: -3021962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rri when three letters picked without replacement from iiiiiriririiriiiirii.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6975)\/(-10850)*(-182)\/(-36)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 16*j**2 - 40*j + 2. Calculate a(-12).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*a - 14964 = 3019*a - 67464 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2429*n - 26. Let a be k(6). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 107*i**3 + 2*i**2 - 86. Let b(c) = 105*c**3 + 3*c**2 - 87. Let a(t) = 2*b(t) - 3*o(t). What is the derivative of a(y) wrt y?\nAnswer: -333*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 4 - 4)*(3370*q**2 - 2*q**4 + 54 - 3370*q**2).\nAnswer: 42*q**4 - 1134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 + 8.5.\nAnswer: 51.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 636 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 0, 0*x = 2*x + r - 3. Solve 15 - 4*p - p**x - 15 + 19*p + 16*p = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 27*t**2. Let q(m) = m**2 + 0*m**2 - 3*m**2. Determine k(q(b)).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**8\/70560 + j**7\/17640 - j**5\/20 + 3*j**2. Let s(c) be the third derivative of b(c). Factor s(l).\nAnswer: -2*l*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22843*u**4 + 22843*u**4 + u - 6 + 250*u**5 wrt u.\nAnswer: 5000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qzxfyzqfu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.46 + -9.1. Let n = -1.7 - i. Let y = 3.06 + n. Which is the closest to 0.1? (a) 5 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 + 2. Let o be -1*(-3)\/3 - 8. Let l be j(o). Suppose l*g + 52 = 178. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81586.15309 + -81587. Round g to 2 decimal places.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 750 + -747. Let c be v\/(-4) - 14\/((-560)\/110). Solve -10 = c*r + 4*x, 2*r - 2 = r + 5*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43272, 83834, 124386, 164922, 205436?\n\"Answer: -q**3 + q**2 + 40566*q + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -12 + 42 + -11 + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 882449342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**3 + 17*c**3 + 29*c**3 - 73*c**3 + 9*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uruaa. Give prob of picking 1 r and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-162)\/(-30) + (-1 - 9\/(-15)). Suppose -m - 3*a = 33, 5*m - a + z*a + 220 = 0. Let j = -15 - m. What is the lowest common multiple of j and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72026, -144660, -217298, -289940, -362586, -435236, -507890?\nAnswer: -580548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42110*-24.\nAnswer: -1010640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/7))**(-13) assuming f is positive.\nAnswer: f**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2679*d**3 + 7258*d**3 + 44 - 44 - 3620*d**3.\nAnswer: 959*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -z + 2*l, -66 = -2*z - 4*l - 56 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004179176 to 7 decimal places.\nAnswer: -0.0000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -756 or -380879?\nAnswer: -380879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o - 30 - 34 + 0*o + 67 as s + p*o and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 9 + 3. Let k be -1*(-2 + 2)*c - -10. Suppose -4*h - 12 = 0, -h - 2*h = -4*l + 329. What is the greatest common factor of l and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113 and 111?\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/3 or -54\/35?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-12) + 5\/2. Suppose 4*r - 18 + 6 = -l, 0 = -4*r - y*l + 20. Calculate the lowest common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 - 54*r**2 - 2*r + 54 = 0. Calculate r.\nAnswer: -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407.2, -12, 6\/7 in increasing order.\nAnswer: -407.2, -12, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8)*-2*(-8)\/(-1 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 39*q + 22 - q**2 - 36*q - 9. Let k be z(7). Let b = 16 + k. Solve -s + v - 1 = 0, -3*s - b = -2*v + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/70 and 31\/5600?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*a**2 - 31*a + 23*a**4 - a**5 + 11*a + 20*a wrt a?\nAnswer: -60*a**2 + 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 5. Suppose 40 = -4*q - 2*a, 0 = 3*q - 5*q + 5*a - 20. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 57*l + 38. Let d = -2.8 + -0.2. What is the second biggest value in d, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 543 * 2.6.\nAnswer: 1411.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33934472.\nAnswer: 2, 11, 13, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-4 + (28 - 12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (-6 - 13) + 30 + -17 - -36.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 43503.547.\nAnswer: 43509.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 632 - 2274. Calculate the remainder when (m\/(-26) - 3) + 4\/(-26) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + (142 - 132).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(156)*2*2)\/(sqrt(48) - (sqrt(144)*2)\/sqrt(3)))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - -1) + 89\/(15486\/(-290)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 38*u - 32. Let t be s(-37). Find the second derivative of 205*m + 153*m**t + 537102*m**3 - 537102*m**3 wrt m.\nAnswer: 3060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(((d\/d**(-6\/5))\/d)\/d)*d*d**(-2) assuming d is positive.\nAnswer: d**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 33032176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m + 120 = 113*m. Suppose 62*b - m*b = 14. Let s be b + (-4 - 16)\/4. Let d(w) = 8*w - 3. What is d(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(128)\/sqrt(4))**2*-3.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4872 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m + 3*s - 34, 0 = 2*m - 2*s - 24. Let c = m - 10. Suppose -2 - 1 = -x. Solve c*y - 1 = x*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - (52 - (54 - 76) - (0 + 6))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from {s: 1, n: 5, x: 14}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 + -312. Is (-24 - -3)\/(c\/(-53895)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 2 - u + 6*u. Suppose -4*l + 15 = k, -3*l - l + 2*k = -18. Give n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58075 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8505384.8 to the nearest ten thousand.\nAnswer: -8510000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*d, 4*n - 3*d = 611 - 630 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from qngnqqgqnqgnn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112149504 * 0.4.\nAnswer: 44859801.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566588400 rounded to the nearest one million?\nAnswer: 2567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2919.538?\nAnswer: -1459.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 57. Let a = h - 45.96. Round a to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2627 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101018?\nAnswer: 2, 53, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000473 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:55 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00428887 rounded to four dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 58, 147, 310, 571, 954, 1483, 2182?\n\"Answer: 4*v**3 + v**2 + 8*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*544\/(-2448)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.1572\nAnswer: 0.03144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 1 - 3. Let p = -0.19 + 5.19. Let n = -2 - -2.3. Which is the third smallest value? (a) n (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -957*o + 664. Is b(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 5*h)*(-5 + 6 + 8 + 0 + 1 + 1 - 3 + 1 + 3 + (-6 + 0 + 4)*(0 + 3 - 1) + 1 + 0 - 3 + 2 + 1 - 1)*(7 + 8*h - 7).\nAnswer: 256*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/(-18))\/(1\/(-6)). Let d = 46 - x. Let j = d + -15. Is j greater than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4389 divided by -7\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -1 + -4)*5\/30. What is the nearest to -0.1 in 1\/5, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k\/(k*((k*k\/(k*k**(-2)*k*k)*k)\/k)\/k))**16 assuming k is positive.\nAnswer: k**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*m = -7*x + 1315*m, -x = -2*m - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 240. What is the lowest common multiple of 45 and x(20)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 164 - 199 - 100*p + 105*p**2 - 5*p**4 + 35 = 0.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j + c - 57, j = c + 23. Calculate the remainder when j is divided by 66\/(-9)*27\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 11*u - 6. Let p(f) = 4*f**2 - 10*f - 6. Let l(d) = -5*m(d) + 6*p(d). What is l(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -3. Which is smaller: l or 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 4442342 = -w + 4441961, -y + 2 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -575*c + 2. Let i(r) = -r - 4. Give x(i(g)).\nAnswer: 575*g + 2302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 + 9\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tti. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1 (b) -0.02 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 36. What is p(12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110022220 (base 3) to base 16.\nAnswer: -6fff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y + 15*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 7*z**2 - 11*z + 10. Determine v(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/(1\/13). Let i(o) = 6*o + 17. Let d(a) be the first derivative of -3\/2*a**2 - 8*a + 25. Determine y*d(v) + 6*i(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + -46.1. Let v = 46.2 + i. Suppose 2*x = 3*x - 3. Which is the nearest to x? (a) 2\/3 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/240 - w**4\/12 + 7*w**3\/24 + w**2 - 2. Factor a(o).\nAnswer: (o - 7)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/10)\/(7*16\/560). Solve -r = 4*g - d, 2*g + 2*d - 5 = -21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649 <= 2251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -95304221 rounded to the nearest 1000000?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3634 + -3531. Which is greater: 101 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.001634, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5709718 by -661.\nAnswer: -8638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-8) - 14\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 246*y**3 + 747*y**3 - 255*y**3 - 21 - 248*y**3.\nAnswer: -2*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8454 is divided by 1094.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49569 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5924.565 centuries?\nAnswer: 592.4565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/1260 - 3*g**5\/140 - g**4\/6 - 193*g**3\/6 + 2*g**2 + 80*g. Let y(r) be the first derivative of o(r). Factor y(h).\nAnswer: -2*(h + 2)*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/33363 and -58\/3483.\nAnswer: 12911481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 637 + -488. Calculate the remainder when y is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566863 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.123 and -88?\nAnswer: -10.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2007 and 17\/130053?\nAnswer: 87005457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*m = 0, 3*m = 5*m. Suppose -s + 2*s + 5 = y. Let o = s + 8. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-8)*5\/((-25)\/(-222)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 5*m - 4*z + 32, 5*z - 4 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*c**3 - 3)*((0 + c + 0)*(3 - 1 - 3) - 2*c + 1 - 1).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6 and -43\/131?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let p be 1\/(-1) + 5 + 1. Suppose 90 = p*s + 2*i + i, -18 = -s - i. Suppose 0 = 83*o - 175 + 9. Let u(m) = -8*m + 2. Calculate o*u(a) + s*j(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 10*w\/7 + 12\/7.\nAnswer: -2*(w - 1)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4110046732 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 10:21 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -153 + (37 - (54 - 10 - 35))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20516161 (base 7) in base 4?\nAnswer: 12213233320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 4\/6. Let y be -2 + 0 + (3 - 2). Let s be ((-2)\/y)\/10*-1. Are f and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, 524, 3187, 8370, 16913, 29656?\nAnswer: 47439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbddmmmdmmd. What is prob of picking 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 5*z - 4. Let a(g) = -7*g**2 - 8*g + 6. Let y(r) = r**2. Let q(n) = a(n) + y(n). What is 8*p(o) + 5*q(o)?\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -34.7. Let i = -4.7 - s. Let p = 1 - 2. Which is the third biggest value? (a) p (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54760463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878 - 538. Round m to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.473281 hours in days?\nAnswer: 0.728053375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-1))\/((-18040)\/(-3080))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3648104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 1074*t**3 + 145774*t**2 + 423462*t - 570312.\nAnswer: 2*(t - 1)*(t + 4)*(t + 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/24*3*(-1)\/2*468\/(-72)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -15*t**8\/28 + t**4\/3 + 49*t**2\/2 - 65*t. Find the third derivative of z(k) wrt k.\nAnswer: -3600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 230 + 50. Suppose 2*v + 1 = 9. What is the greatest common factor of v and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 20, -453, 4, -2\/3 in decreasing order.\nAnswer: 20, 4, -0.5, -2\/3, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19870621 to the power of 1\/2, to the nearest integer?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -0.3, -0.38, -1.2, 2.\nAnswer: -1.2, -0.38, -0.3, 0.27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747, -737, -727, -717?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.087 - 0.087. Let p = -2930 - -2933. Which is the closest to p? (a) -2\/7 (b) -1\/6 (c) m (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 261.194 millennia?\nAnswer: 2611.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 0)\/((-2)\/5). Let f(i) = 8*i - i**3 + 7*i - 2 - 8*i + 4*i**2. What is the units digit of f(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1425 and 2196818.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0175 - -0.02. Round d to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(3*v**4 - v**4 - 3 + 0*v**4) - 4771*v**3 + 4771*v**3 + 161*v**4.\nAnswer: 155*v**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h - 4*h**2)*(0*h - h + 4*h)*(0*h - 2*h - 2*h) + 5 - 5 - 5*h**4 in the form z*h**4 + v*h + q + p*h**2 + d*h**3 and give z.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15296 - 7*b - 31300 + 16004.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, t: 6}. What is prob of sequence ll?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -70, 531\/5, -2?\nAnswer: 531\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v**3 + 37887*v - 75760*v + 37882*v - 2*v**2 + 4 to b*v**3 + m + p*v + x*v**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -56 and -29080\/517 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.09 and -47650.5.\nAnswer: -147240.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/40)\/((-1)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 21*j**2 + 3*j + 2. Let g be r(-2). Let l = g + -398\/5. Let k = -5 + 10. Which is the nearest to l? (a) 6 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -61*o**5\/5 + 7*o**4\/4 - 3*o**2\/2 - 97*o + 1955. What is the second derivative of x(u) wrt u?\nAnswer: -732*u**2 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 + (9 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 - 7*d + 4. Let t be x(5). Let b = t + 10. Suppose 3*c - b*i = 145, 0*c + 43 = c - 4*i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68\/9 + 3191\/414. Let d = x + -15\/23. Sort d, -0.4, 0.17.\nAnswer: d, -0.4, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -27*u - 240 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4788*19*1*3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668439451?\nAnswer: 3, 889479817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -496440 rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 10*o**4 - 7*o**4 - 4*o**3 + (0*o**4 + 2*o**4 + 0*o**4)*(3 + 1 - 3) to a*o + d*o**2 + k*o**4 + s*o**3 + r and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5808*d + 5816*d + 8 = 0. Let u(n) = 18*n + 6. What is u(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6 - 123*c + 70*c + 15 + 68*c. Let r(s) = -s + 6. Let v be r(-5). Let j(q) = -3*q - 4. What is v*j(k) + 2*n(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2 + 2)*(0 + 2*t + 0)*(-3 + 0 + 1) + t + 2*t**2 - t + (0*t**2 - 5*t**2 + 3*t**2)*(2 - 1 + 0) - 5*t**2 - 3*t**2 - t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k = 7438 - 5182 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*h**4 - 3*b*h**2 + 159*h**4 - 3*h**2 - h wrt h.\nAnswer: -72*b*h + 3816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1848 = -83*p - 38*p + 1177 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.277 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191.8 - 160. Let m = l - 23. Let b = -14.9 + m. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 11*m + 14. Let g be p(-12). Let a(x) = x**2 + x**2 - 2*x**g + 3*x**2. Let i(y) be the first derivative of 2*y**3 - 72. Determine i(a(s)).\nAnswer: 54*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17403105.\nAnswer: 3, 5, 1160207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-164)\/205*365\/(-2). Let h = -143 + w. Solve -2 = -a - h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6195.\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:39 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 12. Let o be f(-6). Let r = 118 - 115. Suppose 5*j - 33 = 2*h, -r*j + 4*j - 5*h = 25. Solve -j*w = -16 + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 2*b - b**2 + 66 + 8*b - 70. Determine z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4695 and 4695?\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 20. What is the remainder when 7 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p + 3*r = -12, 0 = -4*r. Solve 0 = 2*n - 2*t + p, 0*t + 2*t - 6 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 - -578. Let b = 102 - t. Let l = b + 75.0094. Round l to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -10*h**2 - 1\/60*h**5 + 0*h + 4 - 1\/6*h**4 + 0*h**3. Factor i(n).\nAnswer: -n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3, -905 in decreasing order.\nAnswer: 5, 3, -4, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(110)\/(sqrt(44) + sqrt(11))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -121*u**5 + u**4 - 5*u**2 - 976*u - 1. Let s(a) = a**5 - a**4 + 5*a**2 + a + 1. Let d(w) = h(w) + s(w). Find the second derivative of d(x) wrt x.\nAnswer: -2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -1\/39*b**6 + 0*b**2 + 4\/65*b**5 - 1\/26*b**4 + 0*b**3 + 0*b - 2. Factor q(k).\nAnswer: -2*k**3*(k - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -32051\/8, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2649192 and -163\/815136.\nAnswer: 10596768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23277052?\nAnswer: 2, 19, 163, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {f: 3, z: 4, x: 7, u: 5}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5. Let k(x) = -2*x - 11. Suppose 0 = -36*i + 41*i - 30. Let z(g) = i*k(g) - 13*q(g). Give z(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -22. Suppose 149155 = 4*f + f - 5*q, -3*q + 149131 = h*f. Let i be ((-50)\/4)\/(f\/(-7456) - -4). Round i to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10050 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 422*c*v + 74*c - 1630*v - 5 wrt c.\nAnswer: 422*v + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 6) - (-5 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21257465 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*d**3 + 8*d**2 - 16*d**2 - 3 + 2*d + 11*d**2 to f*d + s + j*d**3 + m*d**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(2090\/19)*(-75)\/2)\/((-18)\/192).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/143 - -431\/10296. Let o = -5\/36 + t. Let g(p) = -p**2 + 2*p + 2. Let k be g(3). Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143491 is divided by 1143389?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 2\/11 (c) 0.2 (d) 4 (e) 35310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, -4, 4 in descending order.\nAnswer: 4, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.412 and -1042.\nAnswer: -1026.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)\/(sqrt(1200)\/sqrt(12)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 3. Let d be x(4). Let v = -13 - d. What is the derivative of -6 + v*f**2 + 3*f**2 + 15*f - 15*f wrt f?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 3*i**3 - i**3 + (-11583 + 5925 + 6049)*(-3*i**3 - i**3 + 0*i**3)*(2 - 2 + 1).\nAnswer: -1562*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 - -359. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38139 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:21 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898.4 times -1.8?\nAnswer: -3417.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 3766531?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -7. Let o be ((-27)\/r)\/(18\/24). Calculate the greatest common divisor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 71, 104, 135, 164?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ssssssbbbsb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 5*i**3 + 5*i**3)*(92*i**2 + 20*i**2 - 56*i**2) + (-2*i**4 + 2*i**4 + i**4)*(-1 + 1 + 3*i).\nAnswer: -109*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 89.44707 micrograms?\nAnswer: 0.00000000008944707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(3*d - 3*d - 3*d)*(1 - 3 + 1)*(-3*d - 5*d + 3*d - 1 + 1 + d + (3*d - 3*d - d)*(-2 - 3 + 4)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*n*q - 9*n - 108269*q**4*w + 2*q*w + 33885*w wrt q?\nAnswer: 14*n - 433076*q**3*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 7 = 0. Suppose 0 = -i*r + r + 24. What is the remainder when 5 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = 4*k - 13, -5*i = -5*k - 5. Suppose -r - q = 0, -q - 4 = k*r - 2*q. Let p = -322\/255 - 6\/85. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130322 - 2?\nAnswer: 130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + i - 36 = 0, -16 = 3*s - 3*i + 20. Is -8 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 - 3*a + 1. Let m be f(2). Let v = 779 + -774. What is the third derivative of 7*s**2 - v*s**2 + 10*s**2 - m*s**6 wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(30)*2*-4)\/(-1*sqrt(1000)).\nAnswer: 4*sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1850529 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -14539577 less than -14539578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, b: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 2. Let p = -10 - -16. Let r be b(p). Suppose -9*h = -5*h - r. Solve 0*d = h*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n + 547 = 3*x, 5*n + 11*x - 44 + 73 + 82 = n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h - 12. Let n be u(5). Suppose n*d + 158 - 719 = 0. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 + 4*j - 3. Let q be u(2). Let t be 81\/(-99) + 1\/q. Which is the nearest to 2? (a) t (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -337 and 0.5.\nAnswer: -336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 1228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/60)\/((-8)\/(-60)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5)*100\/200?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/7 - 106\/105. Let r = 3015 + -3019. Let o be ((-2)\/(-6))\/(4\/9). Put r, o, u in increasing order.\nAnswer: r, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6)\/((-18)\/27*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 14, 26, 54, 104, 182, 294, 446?\n\"Answer: p**3 - p**2 - 2*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -0.4?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 280*z**3 + 458*z**2 - 17*z + 71. Let v(m) = 200*m**3 + 327*m**2 - 12*m + 50. What is -12*p(y) + 17*v(y)?\nAnswer: 40*y**3 + 63*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.368 + -514852.\nAnswer: -514849.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1284978 or 1285001?\nAnswer: 1284978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkl when three letters picked without replacement from {e: 4, w: 1, v: 1, k: 2, c: 2, l: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from vvwvwwvvwwwwvv?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 24*u**3 - 23579572*u**2 + 5791629211872*u - 965270880324 = 0.\nAnswer: 1\/6, 491241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 638 and 65830?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 99273.\nAnswer: 794184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 + 0*r**2 - 3*r**2)*(-53 + 37 + 29) - 2*r**2 + 0 - 2 + 1 - 4*r in the form w*r**2 + j + u*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 18 (b) 0.2 (c) -0.3 (d) -24.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a minute in seconds?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -726. Let l = m + 526. Let u = -3 - -3. Put l, u, -38, 2 in descending order.\nAnswer: 2, u, l, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100011010011011110 - 10000110?\nAnswer: 1010100011010001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650.479g in kilograms?\nAnswer: 7.650479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/((-3)\/(-16)*-2). Solve 0 = 3*m - 5*r + 12, 5*m - c*r + 12 + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/113, -0.2, -10, 2\/171, 1.\nAnswer: -10, -0.2, 2\/171, 2\/113, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.156 or -0.45?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-60))\/((-976)\/(-480) - (-4)\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140 - -11024?\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/7 (b) -1.1 (c) 15 (d) 0.2 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/6 - 4*j**3\/3 + 3*j**2\/2 - 4*j. What is the units digit of w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daad when four letters picked without replacement from yydyadydyda.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13*i**3 + 2*i**2 - i. Let w be h(1). Let o be 2\/w + 13\/78. Suppose 2*l + 2*l = 4, 6 = 3*t - 3*l. Put t, -2, o in decreasing order.\nAnswer: t, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 + a**2 - a - 1. Suppose -3*z = 4*u - 3, 3*u = 2*z + 3*z - 5. Calculate w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 7*f - 1)*(2 + 5 - 3) + f + f + 0*f)*((-1 + 3 - 1)*(-5*f**4 + f**4 + f**4) + 2*f**4 + 2*f**4 - 6*f**4).\nAnswer: 130*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 13*m**2 - 7*m - 14. Let l be y(14). Let q be 70\/6 + (-1)\/(-3). Calculate the greatest common factor of l and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -456\/5. Let z be (1 - (11*10)\/(-1)) + -3. Let v = z - 112. Which is the smallest value? (a) -4\/7 (b) -3 (c) i (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 9*t - 6. What is the least common multiple of 24 and d(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -18. Let k be f + 15 + 0 + 3. What is the highest common divisor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 1. Let l(t) be the first derivative of t**2\/2 + 10*t - 8. Suppose -4*w + 3*w - 8 = 0. Let q be l(w). What is i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 22. Let r = -4 + 6. Which is the third biggest value? (a) 0.3 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 2*c - 4*c - 3*r, 0 = -4*r - 8. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w*w**(-2\/11))**15 assuming w is positive.\nAnswer: w**(-305\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/685 and 131\/840.\nAnswer: 115080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952097 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 13*s**2 - 8*s + 13. Let o be f(-12). Which is greater: o or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 2*m - g, 5*g = m - 20. Suppose m = 2*s + 2*n - 0*n - 16, -5*s + 5*n + 20 = 0. Suppose s*v - 515 = v. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/4, 304, 1847, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -989948.429 + 978108. Let o = u - -11847. Let r = -0.221 + o. Round r to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -716*c**2 - 2882*c + 2358. Find the first derivative of v(q) wrt q.\nAnswer: -1432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*l**3*n - 12*a**2*l**2*n**2 + a**2*n - a*l**3*n + 29*a*l**2*n**2 - 2*l**3*n - l**2*n**2 wrt a.\nAnswer: -4*l**3*n - 24*l**2*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0538 - 0.5538. Which is the nearest to 1\/2? (a) 1\/4 (b) 0 (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 13*a**2 + 16*a - 20. Let s be f(14). Let l be ((-6)\/8)\/((-1)\/s). Solve -l*g + 3*g - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/4 - 1. Let b(u) = u**3 - 4*u**2. Let l be b(4). What is the closest to j in -1\/2, -0.1, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from wfffw.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -0.14. Let x(z) = -z**3 - z**2 + 5*z + 3. Let o be x(-3). Let k be o\/27 + (-6)\/(-54). What is the closest to k in 2, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**2*z**3 + 221*w**2*z**2 + 13*w**2 + 33*w*z**2 + 3*w*z - 6*z**3 - 15 wrt w?\nAnswer: -6*z**3 + 442*z**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -314, -1\/13, -1.1, -1 in decreasing order.\nAnswer: -1\/13, -1, -1.1, -29, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 7:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -319, -462, -605, -748, -891?\n\"Answer: -143*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534588 is divided by 233?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 69, 56, 25, -30, -115, -236?\n\"Answer: -p**3 + 6*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7845.16 millimeters?\nAnswer: 784.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*y - 7*y - 25, -2*y = 10. Suppose 4*o - 180 + 28 = b. What is the remainder when o is divided by (2 - 3)*(-1 - 12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 34, 0.37?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -163, 3, 204 in descending order.\nAnswer: 204, 3, -29, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 305571361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0 + 0*r - 1\/6*r**4 + 17\/3*r**3 + 2*r**2. Let y be x(8). Solve 2*z = -y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {v: 3, h: 4, w: 4, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 9 + 9)*(3 - 2 - 3 + (4 - 3 + 0)*(2 - 4 - 1)) + 3 - u - 3.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127557693.\nAnswer: 1601, 1328893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35987 and 10185.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxeesxkekksls. Give prob of picking 1 l and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7 + 1. Let w be 2 - -1 - (-2)\/m. Suppose 4 - w = i. What is the lowest common multiple of i and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 5. Let n = -11 + 21. Calculate the remainder when a(n) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:52 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45253 is divided by 374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {q: 1, u: 2, k: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + ((sqrt(108) + 0)*3)**2 + 0)*-2*2.\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 8*b + 8. Let a be n(-4). List the prime factors of -1 + 1 + -1 + a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*r - 2 = 2*r, -5*r + 26 = x. Suppose -3*o - 2*a = -x*o + 6, -o - 2*a = -2. Find v, given that 2*v**o + v**2 + 2*v**3 + v**2 + 2*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 834 = 906 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3709 divide 22123073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/20 + r**4\/12 + r**3\/3 + 20*r. Let w be c(-2). Factor -w*x - 11*x**3 - 2*x**4 - 5*x**3 - x**4 + 7*x**4 + 20*x**2.\nAnswer: 4*x*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1, 2*d = 5*l - 1303 - 495. Suppose -l = -4*u + 3*g, g - 97 = -4*u + 3*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 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: What is -100100000101000000101 (base 2) in base 11?\nAnswer: -73823a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 730053 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*z - 4*x - 37, -4*x = -3*z + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(608)*3)\/sqrt(2) + 5)**2*-4.\nAnswer: -10960 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(5) + sqrt(2880)\/sqrt(9)).\nAnswer: -12 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c = 16*w - 21*w - 98*c + 70, 5*c = -2*w + 31 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5, -4*x + 3*o + 27 = 2*o. Suppose x*f - 1021 + 55 = 0. What is the remainder when f is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-63)*-7)\/4. Let m = 3.95 - -0.05. What is the nearest to -3\/5 in -0.2, q, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 1720 - 1696 = 0. Which is the nearest to -0.1? (a) 34\/7 (b) 2\/13 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*n**6 - 76*n**3 + 2*n**2 + n - 469.\nAnswer: -4800*n**3 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**5 - 5338*h**2 - 105*h**3 + 38*h**3 + 67*h**3 - 158*h**6 + 294*h**6 wrt h.\nAnswer: 16320*h**3 - 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1690777 and 908567?\nAnswer: 6017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31508 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3668698?\nAnswer: 2, 11, 37, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 1295, 1310, 1331, 1358, 1391?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -473575 - 1925.\nAnswer: -475500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 9*b**3 + 0*b**2 + 4*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -159*(1047\/990 + -1). Let f = -77\/10 - n. Calculate the common denominator of f and -115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from uufbbutuutuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*a**3 - 2*a**2 - 344?\nAnswer: -246*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 183641*p - 2387316. What is q(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(700) + (-2 + sqrt(700))*2 + sqrt(700) + sqrt(700) + 5 + (5 + -2 + sqrt(700))*1)**2.\nAnswer: 1080*sqrt(7) + 25281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5409, -5384, -5383, -5418, -5501, -5644?\nAnswer: -5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjzaaazzzsjjjgzj. What is prob of sequence ag?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfpkfx. What is prob of sequence kffx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from cqcxqcqxqxqxqcqxqxqq.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275.9 - -276.1. Which is the third smallest value? (a) 0.5 (b) u (c) -26.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10.4 (b) 2\/5 (c) 7179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-10) - 8\/20. Suppose 2*k + u*s = -48, -5*k - 17 = -5*s + 33. Let h be (2\/7)\/((-2)\/k). What is the second biggest value in -2\/9, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 17 = -7*a, 4*a = -4*d - 720 + 692 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -65, -101, -141, -185, -233, -285?\n\"Answer: -2*o**2 - 26*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g**2 + 38*g + 12. Let y be t(3). Let w = 47 - 42. Sort -2, w, y in descending order.\nAnswer: w, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3344\/13 - 257. Let c(p) = p + 4. Let w be c(-3). Is h < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109083.\nAnswer: 3, 13, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*r - 445 = 9*r, -4*x = r - 624. What is the greatest common divisor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6390462?\nAnswer: 2, 3, 13, 81929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18477 or -18500?\nAnswer: -18477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -62047 (base 10) in base 12?\nAnswer: -2baa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, -91 in ascending order.\nAnswer: -91, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/((k**(2\/7)\/k)\/k))**(1\/6)\/((k**(-3\/7)*k)\/(k\/k**(1\/8)))**(-32) assuming k is positive.\nAnswer: k**(-1591\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*g - 2*f, -96*f + 144 = -2*g - 136*f for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 101*d + 1124. Give o(-32).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 666 - 670. What is the smallest value in 0.4, -26, c?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r = -61*r - 4, -47 = -3*v - 5*r. Solve -v*c - 41 = 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by (6\/(-21))\/((-3)\/175)*3?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -58654?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1796, -2118, -2632, -3434, -4620?\n\"Answer: -16*a**3 - 210*a - 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 6541922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 8, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4035 (b) 0.001 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7.5. What is the third smallest value in 5, g, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuuccucuuuuucuuuu. Give prob of picking 4 c.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - -19. Let o = n + -53. Suppose -o*j - 62 = -7*j - 4*u, 5*j - 2*u = 74. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 358.66328 + 0.42672. Round z to the nearest integer.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -879, -1313?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -38*g**2 + 209*g + 639. Give n(-3).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -36. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3650 + 10542?\nAnswer: 14522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 3*a + 8. Suppose g = -3*f - 1 - 36, -f - 49 = 2*g. Let p = g + a. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 40 = -5*n, 4*n + 13*v - 38 = 15*v. Let q(t) = -10*t + 114. Let o(d) = 5*d - 56. Let i(g) = 7*o(g) + 4*q(g). Give i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 151*r**2 + 23*r**2 + 13 - 78*r**2 + 18*r - 18*r. Let c(h) = -2*h - 9. Let w be c(-7). Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 9:35 AM?\nAnswer: 259","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvllvlvzvvnqvlvzlv. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 119 = -2*z, -4*m + 5*z = -8*m + 488. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - ((4 - (-3 + 3)) + 5 - 8)) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 34 - 124 = 0. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 - 32*r**3\/3 - 52*r**2 - 224*r\/3 - 98\/3.\nAnswer: -2*(r + 1)**2*(r + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-30))\/((-77)\/(-42)*29\/319).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*((i*i**(1\/12))\/i)\/i*(i**(-1\/6)*i)\/i*i*i*i\/i**(2\/11)*i assuming i is positive.\nAnswer: i**(97\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - q - 1149, -q + 2855 = 4*c - 9*c. Let y = -332 - c. Calculate the greatest common divisor of y and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 9\/(-12). Let n = 6 + u. Factor 2*r**n - 59 - 36*r**2 + 20*r**3 + 4*r**4 + 10*r**4 - 10*r - 44*r + 113.\nAnswer: 2*(r - 1)**2*(r + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/2240 - a**7\/504 + a**4\/4 + 10*a**2. Let r(g) be the second derivative of l(g). Find the third derivative of r(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*c**3*g**2*r - 30*c**3*g + c**3*r + 3*g*r - 4472*r - 2 with respect to g.\nAnswer: 108*c**3*g*r - 30*c**3 + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 - 85*m**2 + 54*m - 99. Let f = 265 + -66. Calculate the remainder when f is divided by d(-29).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1924 divided by -8.\nAnswer: 481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 170, 112, 30?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:23 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let k(f) = 3*f**2 + 4*f + 3. Let u be k(s). Solve u*w - 3*w + 4 = 4*a, -3*w = -4*a + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365528917 to the power of 1\/2, to the nearest integer?\nAnswer: 48637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 - 2*q - 3. Determine i(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + -1.91. Suppose 3*f = 4*f + 5. Which is the closest to 2\/7? (a) f (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7 - 53. Solve 0*z - j = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8967195 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 9. Let b be 14\/s - (-1)\/4. Solve n = b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 - 741\/(-15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - a**3 + 9 + 51*a**2 - 22*a**2 - 8*a - 22*a**2. Let p be (-13)\/(52\/(-24))*1. Give r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1721544 and 0.75.\nAnswer: -1721543.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4 + 6 + 0)*(-278 + 30*w + 278).\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x - 53. Let f be n(-4). Solve -f*a + 4*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 295 = 22*f. Suppose 18*x = f*x. Solve x = s + 35 - 33 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 1, w: 1, s: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 2, l: 8, q: 1, t: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251 + 251.4. Let t be 22\/(-84) - (-52)\/(-91). Which is the nearest to 1? (a) -2 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347 + -348. Let g be a*(9\/(-12) - (-60)\/(-48)). Solve -11*b - 26 = g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -19*h**3 - 5*h**2 + 5*h + 14. Let u(w) = w**3 + w**2 - w + 1. Let v(l) = -5*u(l) - x(l). Differentiate v(d) wrt d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2 in ascending order.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -94 and -0.606684735695.\nAnswer: -94.606684735695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let u(c) = -3*c - 1. Let b(z) = 3*n(z) + 3*u(z). Let x = 4 + -9. Let a(o) = o. Let w(t) = x*b(t) - 40*a(t). Let g(f) = 2*f. Determine g(w(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.75813 rounded to one decimal place?\nAnswer: 123.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, e: 3, h: 3}. What is prob of picking 2 x and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 + 57 = 5*v - 3*r, 0 = -3*v + 3*r - 243. What is the tens digit of (-6)\/24 - v\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.3 less than 577851?\nAnswer: 577902.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 24*u - 23*u, -3*m = 2*u - 30. Solve -4*t + 6 + 9 = -5*d, 0 = 2*t + 2*d + m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y - 4. Let g be x(-5). What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1.3 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-37 - -18) + 18) - (-4 + 1) - 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -42326000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*f - 63*f - 32*f)*(-2*f + 2*f - f + (3 - 3 - 1)*(0 + 0 - 2*f) + 0*f + 0*f + 2*f) to the form o*f + a + s*f**2 and give s.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/138 and 61\/2967.\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, z: 9}. Give prob of sequence zz.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 3*y + 1065 = -4*p, 4*p - y - 1445 = 0. Let t = p - 182. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*m - 210 + 155 - 272.\nAnswer: 105*m - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:14 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*h - 2*j, 2*h + 7 = 4*j - 1. Suppose 1540 = i + h*i. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -17180*q. Let r(p) = -133*p**2. Give r(i(y)).\nAnswer: -39255269200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -1.7. Let s be (54\/(-792))\/(2\/(-16)). Suppose 15 - 9 = 3*p, -p = -3*j - 14. Which is the third smallest value? (a) x (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.65 - 1.5. Let u = a - -0.05. Let d be 1\/(-4) + (-51)\/(-12). Sort d, 5, u in descending order.\nAnswer: 5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185363 (base 14) to base 5.\nAnswer: -210001142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1168 - 1100. Which is the third biggest value? (a) 2 (b) -5 (c) k (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6701.416859 plus -0.5?\nAnswer: 6700.916859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -3*w, 4*w + 18 + 10 = 5*b. Suppose -b - 23 = -3*r. Let s = r + -6. Solve 0 = -s*k + 18 - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.1285 millennia in years?\nAnswer: 321128.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1187979761 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57.95 + 61. Let r = d + -0.05. Suppose 0*c + c - 9 = 2*k, -c = -4*k - 13. Sort -5, r, k in increasing order.\nAnswer: -5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 4. Let a = 0 - 0. Let k be g(a). Let s(l) = -l**3 + 37*l + 3. Let w be s(0). Solve v + 10 = -5*c, 22 = -k*v - v + w*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5037*q - 2227*q - 2190*q.\nAnswer: -9454*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350714 = 2597*q + 1171521 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1356*p + 1450. Let l(x) = -x**2 - 61. Calculate m(l(g)).\nAnswer: 1356*g**2 + 84166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*y + 1025*y = 4*r - 125, 115 = -5*y + 6*r for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8425 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 4, -109, -2\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1324464 - 6*l**2 - 1323088 + 208*l + 2*l**2 with respect to l.\nAnswer: -8*l + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -713\/173?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236114237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151053 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2\/13 (c) 1\/10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3789564273 and 1089.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 5 + 2*y + y - 13*y.\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 2318, 3.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose j + 5*a = -0*j - 11, g*j + a = 5. Let c(x) = -2*x - 9. Let u be c(-6). Solve -u*l + 2*l + 5*k = 16, j*l = -4*k + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/56 and 17\/1061912.\nAnswer: 7433384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 61*s**2\/2 - s + 12. Let x be g(1). What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/5669 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*n = -8, -5*n = -x - 3*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 97 + 18. Let i(y) = -t*y**2 + 13*y**2 + 9*y**2 - 3*y - 1. Calculate i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -96, -3, 4, 28, 12, 1 in ascending order.\nAnswer: -96, -3, -2, 1, 4, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a. Let u be -2*(-24)\/3 + a. Calculate the remainder when ((-116)\/u)\/(2\/(-8)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 + 30 = 0, 4*f - 3*n = 60. Suppose 0 = -3*w - 6, 10 = -4*o + 2*o - 5*w. Let z = f - o. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71416\/3 + -357074\/15. Let g(r) = 3*r**2. Let q be g(-1). Find w such that -2\/15*w**q + s*w**2 - 8\/15 + 0*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909.4742 litres to millilitres.\nAnswer: 909474.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdjv when four letters picked without replacement from {o: 1, l: 2, d: 1, v: 5, j: 9}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-75)\/(-9) - (-16)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 2108 in ascending order.\nAnswer: -6, -5, 2108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -262*i**2 - 10*i + 16. Calculate f(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cd6 (base 14) in base 6?\nAnswer: 121512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52040 - 46?\nAnswer: 51661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 - 973*a + 63890 + 4120*a - 66541 wrt a?\nAnswer: 6*a**2 + 3147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:50 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.6 + 3.8. Let j = p + 2.7. What is the nearest to -1 in j, -3, 0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22111222000020 (base 3) to base 4\nAnswer: 101101010133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-167)\/((-2595180)\/(-490)))\/((-35)\/(-20)).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -99. Let j = 1 - t. Suppose -27 = -5*c + 4*i, -2*i + 3*i + j = 2*c. Let x(a) = -a**2 + 7*a + 3. Determine x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44181 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3 + 172776*x**2 - 2*x - 164134*x**2 + 3.\nAnswer: 8642*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 + 6*o + 2*o**2 + 4 + o**2 - 8. Let w be j(-6). What is the highest common factor of w and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -107. Which is bigger: -7\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 10 + -9 + 144 + -117\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 3*j**2 + 15. Let i(s) = -4*s**3 + 4*s**2 - 16. What is 6*f(a) + 5*i(a)?\nAnswer: -2*a**3 + 2*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(114)\/sqrt(6)*4 + 1*-1*sqrt(19))**2.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 202?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 57) + (2 + -4 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54190449 and 6665?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4869818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.6 times -134.4?\nAnswer: 27095.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/464 and -129\/119841920?\nAnswer: 119841920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 11. Let g be z(-8). Let k be (-7 - 65\/(-10)) + 6\/4. Which is the biggest value? (a) 0.2 (b) 0.1 (c) k (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (109294*(-46)\/(-28))\/(-1). Let s = 179845 + g. Let n = s - 290. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 14*i - 69. Suppose -4*l - i = -0*l. Which is the closest to l? (a) 0.4 (b) 0.01 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-594)\/(-7))\/((-42)\/294). Let s = 1784\/3 + y. Let d = -612\/5 + 122. What is the third biggest value in 0.5, s, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5731045818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 18, 22, 26?\n\"Answer: 4*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2374331 (base 10) to base 8.\nAnswer: -11035273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -16 (c) 53 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*r**2 - 1115690*r - 26564 = 0. What is r?\nAnswer: -13282, -1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 12*m + 14. Let h be u(-8). Let a be 1857\/13 + h\/(-117). List the prime factors of a - (-6)\/9*(6 - 3).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*s + 62 - 62 in the form u*s + f and give u.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 74*a + 35. What is the ten thousands digit of y(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -96. What is the nearest to 2 in 3, -2, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.97003687 rounded to two dps?\nAnswer: 77.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -1, -5, -39.\nAnswer: -39, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x + 4*c + 20, -x + 45*c + 44*c - 84*c = -14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-9 + (-17 + 8 - 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3834854759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21004423.\nAnswer: 11, 41, 46573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -37. Suppose m*g - 33 = 4*t, 2*t + g + 13 = -0*t. Let l(h) = -h**3 - 8*h**2 - 4*h + 8. Calculate l(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:50 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, 4, -2\/7, -6, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156418 + -39.07158?\nAnswer: -39.227998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let j = -3 - -4. Suppose -j + 5 = f. What is the units digit of c(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 10. Let v(w) = -2*w**2. Give v(s(x)).\nAnswer: -200*x**4 + 400*x**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/180 + 43*o**4\/36 + 1849*o**3\/18 - 131*o**2. Factor k(z).\nAnswer: (z + 43)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 1451737?\nAnswer: 145176a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1866*i + 15554 = 5011 - 41705 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhhh when four letters picked without replacement from {h: 7, q: 5}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482 = 284*z - 362*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 + 16235*r - 161850 = 0. What is r?\nAnswer: 10, 3237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 11. Suppose -5*u = -10*u + 25. Let c = g - u. Solve 3*a + c = 4*r, 2*r = 3*a - r + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1*6)\/(sqrt(64) - 2*sqrt(64))*4)\/(-1*-2*sqrt(12)\/sqrt(2) + sqrt(600)*1*6).\nAnswer: -3*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6 - -4) + (-5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from doknwwnowoonwo.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from {b: 3, p: 1, x: 7, e: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -764, 0, -164 in decreasing order.\nAnswer: 3, 0, -164, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/8 of a centimeter?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353 + 0?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10674)\/515910)\/((-3)\/(-25))\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -152, -142, -132, -122?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v + 1824 - 577 = -2765 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2586 = -43*a + 338. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -485 - -594. What is the remainder when w is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p + 12 = 0. Let v = 19 + p. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11165*v + 125904 + 371958 + 261358 = 0 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 27 = -4*g. Let n be (-2*28\/(-10))\/((-30)\/(-75)). Suppose -5 = k - n. What is the lowest common multiple of k and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 - 11*l + 13. Determine x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8758311461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -2119106?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-3) - 1\/(18\/54)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62741119 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 70.1. Let t = 23.3 + -25. Let a = t - u. Is a smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 29 + 35. Suppose 12 = -6*z + 8*z. Solve k*c - 6 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 447 + -445. Let s(b) = -3*b**4 - 6*b**3 + b**2 + 14*b - 6. Let n(l) = 7*l**4 + 13*l**3 - l**2 - 30*l + 11. Let r(k) = i*n(k) + 5*s(k). Factor r(h).\nAnswer: -(h - 1)**2*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - a + 2)*(39697 - 39697 - 1784*a).\nAnswer: 1784*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3405*y - 2*x + 22 = 3409*y, -4*x - 23 = -5*y - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s + 1. Let p = -56 + 57. Determine n(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.264 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -785.\nAnswer: -33755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1882444, 1882444, 1882450, 1882468, 1882504, 1882564, 1882654, 1882780?\n\"Answer: s**3 - 3*s**2 + 2*s + 1882444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:08 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 35787 - -0.051023\nAnswer: 35787.051023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 114127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3513375, 7026757, 10540139, 14053521, 17566903?\n\"Answer: 3513382*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30b9b (base 14) to base 3\nAnswer: 12222020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 59487\/76 and 784 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*m = 28, 5*w - 3*m = 1 + 7. Solve -3*x + 11 = -w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*p + 16346 = -315*p - 10160 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 2*q + 3. Calculate g(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*m - 3*c, -3*c - 11 = -2*m - 0*c. Suppose -2*x - 8 = 0, -5*x - 123 = -u - 40. What is the highest common divisor of u and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1887 + -1911 - 20\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-14)*-4 - (-2)\/(-2). What is the hundreds digit of (10\/p)\/1 + 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.17ml in litres?\nAnswer: 0.12117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -176918356 + 1\nAnswer: -176918355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47311 and 5687.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 545236.341 to the nearest one thousand.\nAnswer: 545000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1215720 divided by 12\nAnswer: -101310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3508 = 6*q - 10*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**3 + 10*h**3 + 23028649 - 23028651.\nAnswer: 53*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*b + 4*b. Suppose 0 = -2*q + b - 2. Suppose -5*g - 3*x = -10, -g + 3*x = -q*x - 2. What is the remainder when 2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(-27) - ((-3 - -4) + (-276)\/18)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 5 + (-1 - -234). Round v to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1)*z)\/z)\/z)\/(z*z\/(z**(-4\/7)\/z)))\/(z**(7\/4)\/(z\/((z*z**7\/z)\/z)))*(z**(1\/8)*z)\/z*z**7*(z**(2\/3))**(-4\/5) assuming z is positive.\nAnswer: z**(-4813\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13*d + 26 = -8*d, -5*t - d = -65. Let a(n) = 2*n**2 - 17*n + 25. Let w be a(t). What is the greatest common divisor of 355 and w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 416. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + t**2 - 1. Let n be v(-1). Let k = 31 + -13. Suppose k + 6 = 4*r. Calculate the highest common factor of n and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -91*o - 1187. Calculate f(-18).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 1019a55?\nAnswer: -1019a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 11*n**2 + 6*n - 598. Let m(y) = -2*y**2 - y. Let f(z) = -6*m(z) - r(z). What are the prime factors of f(0)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/228 and 169\/1938.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159776, 319556, 479336, 639116, 798896?\nAnswer: 958676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 5844615*p**2 + 303920487*p\/2 - 987742132.\nAnswer: -(p - 13)**2*(p + 11689256)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249 is divided by 133.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -23 + 0*i**4 - 4*i - 63\/5*i**5 + 2*i**2 + 0*i**3. What is the second derivative of l(o) wrt o?\nAnswer: -756*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 11*h - 74. Let g be 1*(-8)\/18*h\/(-4). Is -2*((-67)\/g)\/1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36d (base 15) to base 11.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:30 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 43 = -3*m - 61, -4*c + 2*m = 0. List the prime factors of (c - 999\/12)\/((-2)\/8).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5736828 and 660.\nAnswer: 315525540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25835335, 25835325, 25835309, 25835287, 25835259?\nAnswer: 25835225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyy when three letters picked without replacement from {y: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 15*a - 2 = 0. Suppose -a*b + 8207 - 1777 = 0. Let x = b + -83527\/26. What is the common denominator of 117\/20 and x?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 203249, 406702, 610165, 813644, 1017145?\n\"Answer: n**3 - n**2 + 203449*n - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m - 1. Let a be k(1). Let l be (-4)\/((-12)\/a) - -5. Solve -2*z = -4*z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (6 - -4) + 16 - 55.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*c - 211 = 0, -4*u - 47 = c - 831. Suppose -3*r + 3*f + u = 0, -2*r + 91 + 39 = -5*f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246\/(-3)*20\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 2*d**3\/3 - 80. Let k(b) = 32*b**2. Determine k(u(i)).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*a + 57 = 0, 3*o + 0*o - 2*a = 101. Let r(u) = -u - 1. Let t be r(-1). Let h = o - t. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + x + 0*x + (2*x - 2 + 2)*(-3 - 1 + 3) in the form o + k*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123, 152, 181, 210?\n\"Answer: 29*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50542*r - 50486*r + 101028*r - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2132, 3832, 5548, 7286, 9052, 10852, 12692, 14578?\nAnswer: 16516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-126)\/(-56)*8\/12*(-12)\/6. Put 1, -38, -5, q, 5 in decreasing order.\nAnswer: 5, 1, q, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 30*v - 10. Does 19 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-5*(-3 - 14\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 3, -18568 in ascending order.\nAnswer: -18568, -76, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2 - 152*t - 92.\nAnswer: 2*t - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29153264 divided by 111272?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 63*p + 9280. What is the least common multiple of p and 24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (-8)\/(8\/(-4)). Let f = 11 + o. List the prime factors of ((-8)\/(-10))\/(f + (-441)\/(-435)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2035)\/(-20) - 1\/(-4). Suppose u + 472 = m + 5*j, 3*m - 1711 = -4*j. List the prime factors of m.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -18*g - 1. Let x be i(-5). Suppose r - 3*r + x = 5*p, 3*p = -r + 54. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*k - 11 - 14, 3*x = -5*k - 40. Does 13 divide k\/(0 + -5)*8*11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3\/3 + r**2\/2 - r + 15. Factor w(t).\nAnswer: (t + 1)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - d**5\/20 - d**4\/8 - d**3\/3 + d**2. Let t be c(-2). Is t < 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 + 15 = -2*p, 4*w + 2*p - 190 = 0. Suppose 140 = 7*i - 2*i. What is the remainder when w is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -27 - 53. What is the least common multiple of 2 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1*d)\/d*d\/((((d\/d**(3\/2))\/d*d)\/d)\/d)*d*(d*d**(6\/7))\/d*d**(-1)*d)\/(d**(-5)\/d**(-2\/11)*d\/d**(-1\/4)*d**(1\/4)*d*d*d) assuming d is positive.\nAnswer: d**(437\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41939143543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**3 - 6*i**2 + 4*i - 2. Let d be o(4). Suppose 3*q + d = 5*q. Suppose 2*f - 61 = -4*v + q, -84 = -f + v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = -a, 12 - 11 = -3*v - 5*a. Which is greater: v or -85?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 2*d**3 - 2*d**3 + 4*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(sqrt(99) - sqrt(99)*3)*-4)\/(sqrt(54)\/(sqrt(48)\/sqrt(8))*4).\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/4 - 5\/4. Suppose 4*d - 7*d - 6 = 0. Suppose -k - 3*p = 11, 0*k + 3*k - 3*p = 27. Sort k, j, d in decreasing order.\nAnswer: k, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000310083 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71496668921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48492 and 382997?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/7 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1203362 + 1789711. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(85) - -4*sqrt(85)*2)\/((sqrt(5) - ((sqrt(5) - sqrt(5)*-1) + sqrt(5) + sqrt(5)))*-5 - (sqrt(605)*2 - sqrt(605))).\nAnswer: 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 22*o + 11*o)*(3 + 2 - 6) as k*o + i and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from dpuuuudupddu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1) + -4 + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/3 - 2*p**3\/3 - 8*p**2 - 8*p\/3 + 32\/3 = 0. Calculate p.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 353?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(196)\/sqrt(7)) + (-1*(2 + sqrt(7)) - ((sqrt(56)\/sqrt(4))\/sqrt(2) + sqrt(7)))*3.\nAnswer: -7*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m. Let c(o) = 3*o - 109. Give c(b(f)).\nAnswer: 30*f - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25a + 1?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -44. Suppose 0 = 3*t - 2*q - 74, 9 = -5*q + g. Let o = t - 13. Solve -c + o = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632843814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2. Let z be n(-2). Suppose -z*p = p - 75. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 11*q + 5*t, -2*q + 19*t - 15*t + 8 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5499 is divided by 690.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-8)\/48)\/((-1)\/(-8)). Sort 2, 6, w, 3.\nAnswer: 2, 3, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7857100 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 - 133 = 64*w - 25 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h - 12. What is the tens digit of w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -1. Let v be -3 - -5 - (a + 1). Solve -4*k + v*j + 0*j - 3 = 0, -2*k - 4*j = -18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -49*j**5\/5 + 21*j**4 + 117*j**3\/5 - 169*j**2\/5 - 168*j\/5 - 36\/5 = 0.\nAnswer: -1, -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 53, 78, 105, 134?\n\"Answer: u**2 + 20*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -155, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a85 + -28?\nAnswer: 1a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 1407472*t**2 - 495242950221*t - 990491530338 = 0. Calculate t.\nAnswer: -2, 703737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*z + 31*z - 115. Let w(r) = -r - 3. Let t be w(-3). Let a be 2 + (t + 1)*-4. Does z = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19271 - -19342. Which is the closest to -2\/5? (a) 2 (b) u (c) -5 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/9 - -13\/9. What is the biggest value in -0.4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389020 is divided by 18768.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-16))\/(2\/(-6)). Let h(m) be the first derivative of 3\/16*m**4 - j*m + 15\/8*m**2 + 4 - m**3. Find s, given that h(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080389 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004653 is divided by 502260.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4615111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.129954 + 45.129484. Let z = 40 - d. Round z to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:51 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 58 - 41 + 15 - 45*b + 60. Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 5 - 15*l.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.0205\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**3 + 36. Let n(m) = 10*m**2 + 7*m. Give n(c(r)).\nAnswer: 360*r**4 + 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5 = g, -38 - 7 = -15*g - 5*x + 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 18*j - 18*j.\nAnswer: -47*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*t - 9 = 15, -5*g = 5*t - 105. What is the lowest common multiple of g and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 12*o + 18. Let q(p) = p**2 - 6*p + 1. Let m(i) = 2*q(i) + x(i). Determine m(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/9*(-16)\/10. Let p = -14349.1 + 14349.5. What is the closest to r in -2, -4, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37\/1971 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p + 6. Let m be t(4). Suppose 3*q + j - m = 2*j, 3*j = -q - 10. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 4*s**2 + 3*s**2 + (5*s - 5*s + 2*s**2)*(0 + 4 - 2) to the form c*s**2 + h*s + b and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*r, 2*r = -2*h - r + 18. Calculate the smallest common multiple of 100 and h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = 3*q + q, 0 = q - 5*t - 16. Let x(m) = -m**3 - 3*m**2 + 3*m + 3. Calculate x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 + 72. Let a be s\/(-4)*-1 - (-6 + -1). Solve -3*y = -5*q - 40, -4*y + 5*q - a + 50 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 485 (base 16) to base 4\nAnswer: 102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140, -132, -110, -68, 0, 100, 238, 420?\n\"Answer: a**3 + a**2 - 2*a - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 24*t - 40. Let i be d(-22). Solve 4*k - 16 = 4*q, 9 = -i*k - 0*q - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 take away 62?\nAnswer: -61.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-1 + -7 + 27 + -20 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 4*y - 66. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -80. Suppose 0 = t*n + 4*n - 1568. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 3 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f - 4. Let q be m(-6). Suppose -q*h - i + 92 = -5*i, -2*i - 6 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 27. Suppose v = -5*j - 0*j + 40, j + 5*v = 8. Let x be a(j). Suppose 4*o - 29 = -5*z, 2*o - 22 = x*z + 9. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:06 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a hour in minutes?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1341d?\nAnswer: -13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 102\/(-24) + (-1)\/(-4). Let t be (25\/d)\/(7\/(-28)). Calculate the highest common divisor of 225 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:44 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 25. Give m(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 14. Let r be 1 + -2 - -1*l. Calculate the highest common factor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*t + 82*t + 59*t - 59*t + 129*t + 61 wrt t.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:40 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.079 + -18.953. Let w = -24 - s. Let d = w + -0.03199824. Round d to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-10 - -3) - -20) + -13 + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.0843 + -0.0157. Let l = w + 37. Let j = 0.2 - l. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 282, 456, 630?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0007 times 0.53899\nAnswer: -0.000377293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43190*c**6 - 9*c**2 + 523*c - 2 wrt c.\nAnswer: 5182800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22372\/9 + 2486. Let n(u) be the first derivative of -1\/3*u**2 - i*u**3 + 14 + 0*u. Factor n(z).\nAnswer: -2*z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -35963*u. Let c(w) = 40*w. Calculate c(r(k)).\nAnswer: -1438520*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4 + 2 + -1. List the prime factors of (-3 + 10\/i)\/(3\/(-168)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2916 and 2910 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283113124.\nAnswer: 2, 3, 17, 23, 61, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/11 - 23\/22. Do 15\/7 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**2 + 47*g + 126. Let x be (22\/(-5))\/(54\/(-135)). Let h(a) = -14*a**2 - 95*a - 253. Let y(c) = x*d(c) + 6*h(c). Differentiate y(k) wrt k.\nAnswer: 8*k - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-10)\/((-80)\/(-12)))\/(9\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.098, -2\/21, 0.01, -11\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, -60, 1, 4, -0.5, 0.02?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - q - 2 = -14, 3*z + 4*q - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82233864.\nAnswer: 2, 3, 41, 89, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxuixxr. What is prob of sequence ri?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1272\/(-5))\/(11 - (-999)\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000070317728 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o*o*(o**(-2\/73)*o*o)\/o)\/(o\/(o\/(o*(o*o**(-2\/21)\/o)\/o*o)))**(-4\/17) assuming o is positive.\nAnswer: o**(253885\/104244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 60 = -3*d. Let z = d + 14. Let n(b) = b**3 + 6*b**2 - 9*b - 5. Is 15 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + 5*o**2 - 5*o - 2*o**3 - o**2 + 3*o**3 to w + z*o**3 + j*o**2 + y*o and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 330 - 234. Calculate the highest common divisor of 144 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -924879974 - -924880233.0000565. Let x = -1.56 + -257.44. Let v = x + g. What is v rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/42 and 119\/9882?\nAnswer: 69174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9011159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 52*g**3 - 16*g**2 + 6*g + 102. Let i(j) = 17*j**3 - 6*j**2 + 2*j + 34. What is 3*a(l) - 8*i(l)?\nAnswer: 20*l**3 + 2*l + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*n - n. Suppose -2*r + 0*r - n = -2*m, 0 = -4*r + 3*m - 10. Let h be 30\/3 + 1\/(-3)*15. Sort r, h, 8 in decreasing order.\nAnswer: 8, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 783?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 15 + 5 + -3 - (190 + -144).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g + g)*(0*g - 2*g**2 - g + 2*g) + (-3*g - 4*g - g)*(g - g**2 - g) to w + m*g**3 + l*g**2 + k*g and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 5624*j + 50443. Calculate y(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8245176*o**4 - 7566764 wrt o?\nAnswer: 32980704*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*b - 19 = 3*t, 3*b - 3 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 979296 and 1616?\nAnswer: 979296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.9827801 to three decimal places.\nAnswer: 16.983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 39975.\nAnswer: 46\/39975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-12*k**3 - 77*k**3 - 40*k**3)*(-4 - 3*k + 4*k - k**2 + 0*k) + 2*k**5 + 0*k**4 + 0*k**4.\nAnswer: 131*k**5 - 129*k**4 + 516*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, -29, -98, -183, -278, -377, -474?\n\"Answer: y**3 - 17*y**2 - 3*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 6)*(-u - u + 4*u)*(-3 - 12 + 25).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19028821 >= -19028823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762 is divided by 440.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:56 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-68)\/765)\/((-8)\/(-8)*1\/25).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + 4 - (sqrt(3) + -1)*1) + (sqrt(24) + sqrt(288)\/(sqrt(132)\/sqrt(11)))\/sqrt(8).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12*-12)\/(30\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/5 (b) 1063 (c) -2 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.98 - 0.979828. What is c rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846636 rounded to the nearest 1000?\nAnswer: -1847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 51. Let r(h) = -h - 1. Calculate -2*r(g) - s(g).\nAnswer: 3*g - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 21. Let o = -21.3 - g. Let x = o - 0.7. What is the third biggest value in 0.5, 3\/7, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/264)\/(2\/(-6))*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271321\/3 - 90439. Determine o so that -64\/3*o**2 - 8\/3*o**3 + m*o**5 + 32\/3 + 4\/3*o + 32\/3*o**4 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 8. Let r be g(5). Suppose 2*y - 6400 = 2*w, -2*w - 4*y + 3200 = -r*w. Let p = 35234\/11 + w. Find the common denominator of p and -33\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4343 * 89.\nAnswer: -386527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 104*w - 319. What is x(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 339, 322?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -42*d - 44*d + 47*d. Let r(q) = 13*q - 2. Let o(s) = 46*s - 7. Let u(i) = -4*o(i) + 14*r(i). Determine u(v(x)).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11214 (base 6) to base 7.\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9104*j**2 + 1 - 10 - 46321*j**2 + 9.\nAnswer: -37217*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -137. List the prime factors of (7\/m)\/(1 - (-217)\/(-218)).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f - 4*b - 4050 = 0, -5*b = -f + 810. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549, -1115, -1701, -2307, -2933, -3579, -4245?\nAnswer: -4931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:25 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6781*y**3 + 1764*y**3 - 1809*y**3.\nAnswer: 6736*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182220, 364422, 546624, 728826, 911028, 1093230?\nAnswer: 1275432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1588*t**4 + 26699*t**3 - 36921718*t**2 wrt t.\nAnswer: -38112*t + 160194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.5 + 108.5. Let u = 54 - 55. Which is the second biggest value? (a) 5 (b) m (c) u (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018688 * 4.\nAnswer: -0.074752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 2.4, 0.4, 0.8, -22.6?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(3\/(-9)*-3). Suppose r*d - 9 = 56. Let p = -4 + 11. Calculate the remainder when d is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/20, -4\/15, -2, -1.102 in decreasing order.\nAnswer: -3\/20, -4\/15, -1.102, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 3*u**2 - 2*u**2 - 11*u.\nAnswer: -3*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1638354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 2134?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -76.79 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-21)*(-3 - -1). Let s(t) = -t. Let j be s(-4). Suppose -j*u + 0 - 4 = 0. Which is the biggest value? (a) d (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 9) + (-246)\/(-3). Suppose -p*o + 82*o = -691600. Round o to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -245 in 0.4, -0.3, 202271?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 124*h - 1084. Let j(a) = a**2 - 14*a - 8. Calculate the remainder when j(-6) is divided by r(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*m + 5736, -2*m = -2*z - 3171 + 879. Suppose m = 46*b - 42*b. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 963 (b) 2 (c) -0.3 (d) 4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 4 + 14392*a + 4 + 342*a.\nAnswer: a**3 + 14734*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(6\/7)*((c*(c**(-9\/7)\/c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(144)*3)\/(-5*((sqrt(800) + sqrt(800) + (sqrt(800) - -1*1*sqrt(800)) - sqrt(800)) + sqrt(800) + sqrt(800))).\nAnswer: -3*sqrt(3)\/1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/12 + 17*t**3\/6 + 11*t**2\/2 - 44*t. Let c be y(-8). What are the prime factors of (1 - 2)\/(((-4)\/c)\/(-4))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 33 = -7. What are the prime factors of 2 - (-3 - -2) - d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 11:23 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1514089 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w**2. Let x(z) = -z + 1. Let l(j) = -2. Let i(g) = 2 - 1 + 0. Let v(r) = -8*i(r) - 3*l(r). Let t(d) = v(d) + 2*x(d). Give a(t(h)).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -6. What is the common denominator of (p\/6)\/((-3)\/4) and 8\/(-10) + (2870\/(-150) - -14)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3 - 4*b*r**3 - 1436*b - 214*r**3 + 41*r**2 wrt b?\nAnswer: 6*b**2 - 4*r**3 - 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(171))\/(-2*sqrt(36)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/7 + 136420*p\/7 + 4652604100\/7 = 0. What is p?\nAnswer: -68210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Suppose -13*i + 90 = -7*i. Suppose t + 2*t = i. Let v(u) be the first derivative of u**2 - 2*u - 1. Calculate t*v(h) + 12*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 7. Let i = 241 - 96. Suppose -2*x - i + 11 = -4*q, -q + x = -32. Calculate the remainder when q is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 128 + 38 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*u**2 - 3 - 70*u**2 + 4*u**3 + 1 - 58*u**2 + 2*u**4 to h*u**4 + s*u**2 + k + q*u**3 + f*u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) -2\/51 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 21. Let q(m) = m + 3. Let g be q(-12). What is the remainder when 117 is divided by h(g)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76))*-5)**2 + sqrt(76) - sqrt(76).\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 - 8*f**2 - 6*f + 8. Let b(j) = -3*j**3 + 7*j**2 + 5*j - 7. Let d = 13 + -7. What is d*b(r) + 5*q(r)?\nAnswer: -3*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5664*u + 2. Let x(r) = -12997*r**2. What is n(x(i))?\nAnswer: -73615008*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghgguhurhrglgugrk. Give prob of picking 1 h, 1 u, 1 k, and 1 r.\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiicoz. What is prob of picking 1 i and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqccccccccqcccqc. What is prob of picking 3 c and 1 q?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 151*b**3 + 2*b**2 + 33*b + 212293 wrt b.\nAnswer: 453*b**2 + 4*b + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -13619, -405, 19 in increasing order.\nAnswer: -13619, -405, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -1*2 + 1. Suppose -y*x + 4 + 26 = 0. Suppose -5*j - 3*c = -47, j + c + 3*c - x = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 2\/9, 1, -1.7.\nAnswer: -5, -1.7, -1\/2, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*i + 8, -12*c + 6 = -4*i - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = i. Suppose 5*d - 21 = -3*a, 3*a - 51 = 2*d + 3*d. Let x(b) = -2*b**2 + 25*b - 5. What is the smallest common multiple of x(a) and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 5*b + 8. Let j = -8 + -4. Let t be w(j). Suppose -4*n + t = 16. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003555 is divided by 22017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(238)*1)\/(sqrt(175) - -1*sqrt(175)))\/(5*(sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98) + (sqrt(98) - -1*sqrt(98)))*4 - sqrt(98)))).\nAnswer: sqrt(17)\/1750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 483.188 nanograms in kilograms?\nAnswer: 0.000000000483188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 966474 by -1.\nAnswer: -966474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*z + o - 95, 5*z - o - 79 = 0. Let p be (-4)\/(-30) + 4318\/z. Suppose h - 9*h = -p. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a - 2. Let o(b) be the third derivative of b**4\/4 + 3*b**3\/2 + 25*b**2 + 2*b. Let z be o(-2). Determine l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 88366.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*(-6)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-42) + ((-324)\/(-28))\/(-1). Let r = 96 + -86.2. Let f = r + -10. Which is the third smallest value? (a) -1 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 29. Calculate the remainder when o(15) is divided by (-114)\/18*(3 + -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -21?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289292175?\nAnswer: 3, 5, 43, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -54. Solve -5*s - 20 = -5*k, 0*s - y*k + 9 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 4*u**2 - 2. Let x be f(0). Calculate the common denominator of (x\/24)\/((-12)\/1208) and 1\/302.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - o**2 + 6*o**2 + 3*o - 3*o - 2*o**2 + (-4 + 3*o + 4)*(4*o + o - 4*o) in the form t*o + h + g*o**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21482.\nAnswer: 2, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 36 + 12 = 0. Solve 3*t - l*f = -0 - 9, -2*f = t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/6*f**4 + 0*f**5 - 21*f**2 + 0*f**6 + 3\/70*f**7 - 1\/6*f**3 + 0 + 0*f. Find the second derivative of q(m) wrt m.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p + 57. Calculate j(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 606, 625, 660, 717, 802?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 + 11. What is n rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1612 - 43?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(31\/5)\/(o**5\/o))\/(o**(6\/11))**(-2\/17) assuming o is positive.\nAnswer: o**(2117\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*x = -x + 1, -2*x - 6 = -3*r. Let h = 6 - r. Suppose -j - h*n + 3 = 0, 3*j - 2*n = 2*j + 19. Solve -5 = -4*t + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 14*m - 52 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2995 = -f - 4*v, 0 = -2*f - 5*v + 2096 + 3909. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 17 = t - 9, 2*b = -2*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4812 divide 2348791391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24220 by 140.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.83 - 2.63. What is the third smallest value in 5, -5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 53*y**2 + 22*y + 308. What is the hundreds digit of s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42199 and 273183?\nAnswer: 5190477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2 + (sqrt(800) + -2 - sqrt(800)) - sqrt(800)) + -2 + -5)*-5)**2.\nAnswer: 11000*sqrt(2) + 23025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682218115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68019*u + 34010*u + 34005*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*m + 395*m = 851*m - 9768 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) + (sqrt(88) - ((-4*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88)))))\/(sqrt(16)\/(sqrt(4)\/sqrt(2)) + sqrt(8)).\nAnswer: -25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132979278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 13 = 2*u + 25, -112 + 121 = -t - 7*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 607, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(15\/4)*c)\/c*c*(c*((c**(-17)*c)\/c)\/c*c)\/c)\/(c\/(c**(-21)*c)*c**(3\/4)) assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85557 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/9 + 2 + 7\/(21\/2610). Calculate the highest common factor of g and 632.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -30, -37, 4, 17, -1 in descending order.\nAnswer: 17, 4, -1, -4, -23, -30, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 13) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/24 - n**3\/3 - 12*n**2. Calculate s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3593 (base 13) in base 9?\nAnswer: -486130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 27. Let q be o(-8). Factor 20*a**2 + 4*a - q*a**2 + 18*a**2 + 3 + 0.\nAnswer: (a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178*a**2*q + 52*a**2 + 2*a*q - 10*a + 38823*q - 17 wrt a?\nAnswer: 356*a*q + 104*a + 2*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8*8\/1380)\/((-10590)\/(-14120))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**12\/j)*j*j**(4\/7)*j**(-1\/17)\/((j**45*j)\/j))**(28\/5) assuming j is positive.\nAnswer: j**(-5092\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -190, -11, 2, 0.\nAnswer: -190, -11, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4636 (base 7) to base 14.\nAnswer: 88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210234183 divided by 70078061?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f - 18. What is k(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*(-5 + 1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j**2 + j + 1. Let n be x(-2). Suppose -5*f + 15 = 0, 0 = -2*y + 2*f - 4*f + 16. Suppose -y*z = n - 81. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -p + 8, 2*p = -i - 3*p - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 231?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 813 and -694.203.\nAnswer: 118.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 211525541 (base 6) to base 3\nAnswer: 21000102122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**16)\/w)\/w*w)\/w*w**(-4\/15))\/((w\/w**(4\/11))\/(w\/(w\/(w\/(w*w**6))*w)*w)) assuming w is positive.\nAnswer: w**(-3944\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from cckckk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/420 + t**6\/8 - 28*t**5\/15 - 5*t**4\/8 + 75*t**3\/4 - 48*t**2 - 1. Factor n(f).\nAnswer: -(f - 15)**2*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 35*w**2 + 465*w + 130 = 0.\nAnswer: -13, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 6*s - 4*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r - 64. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15190 - -15193. Let r be 39*(-3)\/27*3. Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/21)\/((-2385)\/1590)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 20*d - 251. Calculate the remainder when p(-29) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, 1 m, and 1 i when four letters picked without replacement from zaqimqh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/10703 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * 1.445892\nAnswer: -0.31809624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {v: 1, o: 7, r: 2, u: 1, q: 1, i: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -201231?\nAnswer: 201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 3, -8 in decreasing order.\nAnswer: 8, 3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 f when four letters picked without replacement from dffdddzfzzfffdfzf?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 2*y. Let v be w(-2). Differentiate -3 + 4*i**2 + v*i**2 - 4*i**2 + 3*i**3 with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, 1, 44260, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 0, 1, 4, 44260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 (base 7) in base 12?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from jujujjjaujjjjjjjj.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 286?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -60*k. Let l be f(-1). Suppose 0 = -r + 1 + 14. Suppose b - 5 = r. Calculate the greatest common factor of l and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 481352.76ms?\nAnswer: 0.0007958875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:44 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a**3 + 2*a - 2. Let z be q(3). Suppose -4*x = m - 93, -4*m - 5*x + z = -0*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.5 - 75. What is the nearest to 2\/5 in 4\/3, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/79 + -233\/316. Find the common denominator of v and (4\/(-640))\/((2176\/560)\/17).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/68285 and -82\/105.\nAnswer: 204855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*1)\/((-2)\/(-4)). Suppose -f*o - 2 = -34. Solve -9 = -4*z + 3, 5*j + 4*z = -o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i**3)*(-3 + 5 - 1) + (12*i**2 - 10*i**2 + 13*i**2)*(-9*i + 39*i + 148*i).\nAnswer: 2671*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6860 and 51890510?\nAnswer: 726467140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (-1 + -8 - -14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3254 - 4?\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9511*y - 266324. Determine j(-28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-1*(-4 + 2)). Sort 0.4, f, -2\/7 in descending order.\nAnswer: f, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1888, 2014, 2484, 3472, 5152, 7698, 11284, 16084?\n\"Answer: 29*j**3 - 2*j**2 - 71*j + 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 6 - 24*k + 27*k.\nAnswer: -2*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -290973996.45816.\nAnswer: 290973992.45816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -622\/209 + 60\/19. Let g = 1.8 + -1.8. Let o be ((-2)\/(-12))\/((-1)\/(-4)). What is the nearest to g in o, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = -78*k + 80*k. Which is the second biggest value? (a) k (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3136, -1040, -5218, -9398?\n\"Answer: -n**2 - 4173*n + 7310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3787642, -7575284, -11362926, -15150568, -18938210, -22725852?\n\"Answer: -3787642*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7398067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 877280919 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37278646 = 37278648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 68?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 3*w - 6. Calculate s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110010100001000010 (base 2) in base 9?\nAnswer: -6718488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 11. Let f be (-3)\/((-10)\/4 - -3). Let c be k(f). Solve -5*p + c*z = 2*z + 13, 5 = -5*p + 5*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*c = 54, -5*j + 66 = 14*c - 12*c. What is the smallest common multiple of j and 280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -14. Suppose b = 8*f - 15. Solve n - f*n = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -2\/5 (c) -107 (d) -4\/9 (e) 9 (f) 5 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + -38a94?\nAnswer: -38a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 59 = -9*u. Let p be (11 + -1)\/((-2)\/(-5)). Solve -p + u = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 131?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -1\/12*y**4 + 0*y**3 + 0 + 3*y + 0*y**2 + 3\/20*y**5. Find the third derivative of s(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(91) + sqrt(91) - sqrt(91)) + sqrt(91))*5)\/(sqrt(77)\/(sqrt(11) + (-3*3*sqrt(11) + sqrt(11) - sqrt(11)))).\nAnswer: 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -246*x + 731. What is m(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - y = 21 - 872, -4*j + 2*y + 1148 = 0. Is 3 + -1 + 2\/(2\/j) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - (8 - 1)) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/365 and -23\/1095.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 187*x**2 + 282*x**2 - 97*x**2. Let r(a) = -a + 4. Let i be r(6). What is q(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -10?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:54 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s - 1. Let a(w) = 27*w + 56. Let y(p) = a(p) + 2*q(p). Let j(b) = -3*b**2. What is y(j(c))?\nAnswer: 3*c**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12914031 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/((-92)\/(-6)*(-4)\/(-12))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61135, 244301, 549577, 976963, 1526459, 2198065, 2991781?\nAnswer: 3907607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 29 = 5*k, -4*k - 6 = -2*m + 2. Let l be 5 + 0 + 1 + -4. Find the third derivative of 6*o**l - 27*o**2 - o**3 + 12*o**m - 7*o**6 wrt o.\nAnswer: 600*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3*k - 12. Let a(h) = 0 - h**3 - 9*h - 8 - 9*h**2 + 8*h**2 - 7*h**2. Let w be a(-7). Is m(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -24*j**2 - 171*j - 5. Let y be h(-7). What is the closest to -3\/2 in -4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*w - 4*w**2 - w**3 + 14*w**2 - 1 + 135*w in the form o*w**3 + i*w**2 + k*w + n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Let q(b) = b**2 + 6*b + 10. Let o be q(-7). Let w = 10 - 10. Solve 0*r - 5 = -4*l - 5*r, w = -j*l - r + o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 48 = 6*z. Let s(f) = 7*f**2 + 4*f + f**3 + 2 - 6*f + f. Calculate the remainder when z is divided by s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.92 - 20. Let u = 0.18 + b. Put -4, u, -5 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.22 + 383.22. Is q at least as big as 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z. Suppose z = 5*j - 2*j. Is j greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u*y**2 - 61095*u + 196*y**4 + 3*y wrt y?\nAnswer: 2*u*y + 784*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*(sqrt(1053)*-2 + sqrt(1053)))*1 + (3*(sqrt(13) - sqrt(117) - sqrt(13)) + 5)*5 + 3)**2.\nAnswer: -5742*sqrt(13) + 128254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.9597ug to grams.\nAnswer: 0.0007109597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8482 + 8367.768. Let p = c + 114. Round p to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = -a. Let j(q) = -3*q**2 - 2*q + 1. Let p(c) = 2*c**2 + c. Let y(z) = 3*j(z) + 4*p(z). Calculate y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/((-51)\/15). Let u(o) = o + 8. Let m be u(-10). What is the nearest to -2\/5 in -1\/3, s, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/180 + j**4\/3 - 5*j**3\/3 - 7*j**2. Let o(h) be the first derivative of g(h). Differentiate o(p) with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 0.3, 4, 388?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1969\/(-44) + (-3)\/(-4). Let l be z\/198*(-2)\/(-24). Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-510)*4305\/574?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2123 and 37\/231286?\nAnswer: 44638198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001348 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 4. Let k be y(-9). Let g = k - -14. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92681567 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/10 + 16\/20. Let h(v) be the second derivative of 1\/4*v**4 + 0*v**2 + 1\/4*v**y - 7*v + 3\/40*v**5 + 0. Factor h(u).\nAnswer: 3*u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -663 (b) 1\/3 (c) -1\/5 (d) 1745\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 37*a**3 - 2*a**2 - 4*a + 26. Let c(y) = 15*y + 93. Let x be c(-6). List the prime factors of q(x).\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2*(40 + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 78, 89, 106, 129, 158, 193?\n\"Answer: 3*v**2 - 4*v + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 45 = -42*w, 0 = 2*n - 1217*w + 1214*w + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3 - h**3 - 1898*h**2 + 955*h**2 + 950*h**2 - 12 - 4*h. Give y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w. Let q(t) = t**2 - 8*t + 6. Let m be q(7). Let b be 2 + 1*(m - -2). Solve w = b*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 0.03 (d) 11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*y + 267, 3*c - 3*y - 74 = 208. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135122 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2d?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117368875 by -65.\nAnswer: -1805675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.051324 minutes in days?\nAnswer: 0.008368975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 5.4596863?\nAnswer: 3.5403137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/385 in -7, 2\/15, 5, -0.3, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 40. Let o be z(-6). Let i be 8\/(o\/(-12)) - (-33)\/2. Which is bigger: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4606.7825 plus -0.01?\nAnswer: -4606.7925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**2*v*y + 2*u**2*w*y + 257*u*v*w*y + 17*u*v*y + 5*u*y + u wrt w?\nAnswer: 2*u**2*y + 257*u*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43674*v - 46350*v + 80259*v as o*v + a and give o.\nAnswer: -9765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -73. Find the second derivative of 13*u - 26*u + 2*u - u**t wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4461 or 4481?\nAnswer: 4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/12*1 - (-469)\/3.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -5*(-3 + (-1 + sqrt(7) - sqrt(7))) + -4 + 2*sqrt(700)*2).\nAnswer: 100 + 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/12 + 131*p**2\/4 - 449*p\/2 - 772\/3 = 0.\nAnswer: -1, 8, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 + -54)*3\/(-81)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 269, 282, 309, 356, 429, 534, 677?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 41*d**2 + 1062*d - 44388. Determine j(39).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(4 - 2 - 4)*(-y**2 + 0 + 0)*(6 - 4 + 4).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**5 + 688*q**3*v + q*v - 24*q + 3 wrt q.\nAnswer: 20*q**3 + 4128*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 i, and 1 k when four letters picked without replacement from igkkkckggkccggck?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6988.543 years in millennia?\nAnswer: 6.988543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2 + 2 + 8 + 0 - y. Let f(u) = 1. Determine -4*f(p) + r(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -261*q - 44. Does 25 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 12:15 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30225 is divided by 242.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.889 - -0.011. Let t = 0.1 + f. Let h = -20 - -59\/3. Which is the third smallest value? (a) -0.1 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548.1767 + 611.17. Let d = -14.4 + -48.6. Let n = d + k. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763260 is divided by 242.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 33*q**2 + 41 + 218*q**2.\nAnswer: 185*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 7:05 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 + 5*v**3 - 88*v**2\/5 - 112*v\/5 = 0. Calculate v.\nAnswer: -28, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1 + 138000*v + 1 - 4. Let n be m(-6). Let c be n\/18 - 4\/(-18). What is c rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 17*i**2 - 16*i + 7. Determine m(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 932*v + 1073*v + 98234 - 98234 + (2*v - v + 0*v)*(1 - 6 + 3).\nAnswer: 2003*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111 + 0*z**4 - 1633093*z**2 - 3*z**4 + 1633120*z**2 + 1661*z**3 wrt z.\nAnswer: -72*z + 9966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59273 rounded to 2 dps?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.99059 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.4007 micrometers to meters.\nAnswer: 0.0008674007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-20)\/8)*2. Let p(s) = s**3 + 6*s**2 - 6*s + 7. Let c be p(-7). Sort o, c, 1 in decreasing order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1660 + -1657. Let r(j) be the third derivative of 0 + 0*j + 1\/24*j**4 + 0*j**w + 1\/240*j**6 - 17*j**2 + 1\/40*j**5. Suppose r(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*c**2\/7 + 7638*c\/7 - 1088 = 0. Calculate c.\nAnswer: 1, 3808\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -1329.1992.\nAnswer: -1324.1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 2. Let h = z - -6. What is the second biggest value in h, -0.1, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172696398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)*(0 + (-4)\/6*(-2430)\/72).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24883, 24897, 24913, 24931, 24951?\nAnswer: 24973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12675709704 - -25858447096201\/2040. Let n = w + 2745\/8. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b**3 - 3*b**3)*(-2 + 5*b - 4*b - 1).\nAnswer: -b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + p - 4 - 12, 5*i + 3*p = 28. Let k(v) = 2*v**2 + 3*v - 10 - 4*v**2 + 3*v**2. Is k(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 323507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 133*j - 133*j + 24*j**3 - 2*j**2 - 7*j**3 + 6*j**3 to the form t*j**3 + i*j**2 + l*j + d and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2559 (b) 0.2 (c) 2\/19 (d) 0.66 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 + -142. Calculate the greatest common factor of 29 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004479267291 to six decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*h**2 + 18*h**2 + 6*h**2)*((-6 + 2 + 7)*(0 + 2 - 1) + 1 - 4 - 1) in the form c*h + s + m*h**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = n + 4*s, -2*n = -s + 268 - 261 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -289. What are the prime factors of u?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2590 - 2584. Let b be 0 + (2 - 2\/2). Let p(h) = -h**2 + 0*h**2 + 0*h**2 + 6*h + b. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718*u - 6070 - 25678 + 1592 = 0. Factor 2\/3*k**4 + 882*k**2 + 6174*k + 0 + u*k**3.\nAnswer: 2*k*(k + 21)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o - 28*o + 5*o - 7*o to i*o + b and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -254484 + 132\nAnswer: -254352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*g + 316, 1 = -o - 3. Suppose y - 3*c - 21 = 0, -g + 25 = -3*y + 3*c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**5\/11 + 124*l**4\/11 + 408*l**3\/11 - 16*l**2 - 2048*l\/11 - 768\/11 = 0.\nAnswer: -6, -4, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3. Let j(b) = -1. Suppose 0*g - 3*g - 1 = 5*c, 1 = -3*c - 2*g. Give c*t(m) - 5*j(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35001, -279868, -944433, -2238546, -4372057, -7554816, -11996673?\n\"Answer: -34975*i**3 + i**2 - 45*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f - g = -106, -5*f = 3*g - 178. Does 45 divide 2408\/f - 0 - 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1034794 and 3378.\nAnswer: 3104382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -110, 2\/11, 2\/287?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 351864 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 + -473. Calculate the lowest common multiple of ((-5)\/1)\/(-5 + 6) - m and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86469 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2231 divided by 6.\nAnswer: -2231\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 - o + 4. Calculate the least common multiple of 10 and d(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = l + 5*z, 5*l - 2*z - 2*z - 4655 = 0. Suppose 5*v = l - 157. What are the prime factors of (-4)\/22 - (-6342)\/v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6855*k**2 - 13700*k**2 + 6846*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.4, -1\/4, -0.2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*s + 374*s = 1897. Solve j + 2*d - s = d, 0 = 5*j + 2*d - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 28*k - 24 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 12 = -4*r - 4*d, -4*r + 2*d = -5*r - 6. Suppose -2*a + 2*v = 0, 0 = a - r*v - 2*v + 1. Solve 0 = -o*f - a + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64a4a7 (base 13) to base 7.\nAnswer: 26046263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618543 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 - 5.7. Which is the closest to 0.1? (a) 12\/13 (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + sqrt(475))*2*3)**2*1.\nAnswer: 960*sqrt(19) + 17356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 (base 6) in base 11?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = 6*t + 201. Let m = t + 69. Let l(f) = -40*f + 6. Let r(p) = -79*p + 11. Let q(z) = m*l(z) + 6*r(z). Let y(h) = 2*h. Give y(q(u)).\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 22*y + 3*y + 12*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 90*z**3 + 5*z**2 - 90*z.\nAnswer: -5*z*(z - 18)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 587571.\nAnswer: 27028266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.39 + 0.19. What is the third biggest value in 2\/9, g, 1.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3828 (base 11) to base 13\nAnswer: 236c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 7*h - 1124 = -184 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3461*k*p**4 + 2*k*p - 2*k - 1698*p**4 - 6833*p**2 + 10 wrt p?\nAnswer: -83064*k*p - 40752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 4, z: 2}. What is prob of sequence xzz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 16092384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14*(-14)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(136) + 3*sqrt(136)*4)\/((5*sqrt(80))\/sqrt(10)).\nAnswer: -312*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12870\/351)\/(2\/54). What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30271*r**2 + 54*r - 623. Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023605 rounded to 5 decimal places?\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*d**5 - 2*d**3 - 4*d**2 - d + 29.\nAnswer: -6180*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 68935 = 5*y, -31*s = -26*s + 2*y - 68949. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(85)\/(sqrt(55)\/sqrt(11)))**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7191374l?\nAnswer: 719.1374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 0.3 (c) 187\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 71384 divided by 8\nAnswer: 8923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3406212027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/6 + 31\/12. Suppose 66 = 5*o - 4*v, 8*v - 6*v - 78 = -16*o. Which is the third biggest value? (a) n (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*p + 247. Let b = -61 - p. Let u(g) = g**2 + 8*g - 7. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a - 236 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*q**4 + 841*q**3 + 737*q**2 + 29*q + 2 wrt q.\nAnswer: -1200*q + 5046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9730\/(-8))\/(-7) - (-1)\/4. Let l(z) = z**2 + 6*z + 2. Let p be l(-7). Is 29 a factor of (15\/p + -1)*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -102*y - 620. Give p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 137514*d**3 + 275037*d**2 - 137520*d = 0. Calculate d.\nAnswer: -45840, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 8*y - 21. Let x be o(-6). Suppose 0 = -3*u + 2*r + 4, 3 = x*u - r - 2*r. Solve -a + u = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0*p**5 + 0*p**2 + 0 + 1\/21*p**7 - 5\/12*p**4 + 0*p**3 - 1\/15*p**6 - 18*p. Find the third derivative of x(v) wrt v.\nAnswer: 120*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 161.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 23433?\nAnswer: -23433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.043 take away 1.4?\nAnswer: 6.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 14\/6)*-36. What is the second derivative of 9*v**3 - k*v + 4*v + 19*v wrt v?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + a - 2. Let g be f(1). Let q(n) = n**3 + 8*n**2 + 4*n + 16. Is q(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*r**6 + 403*r**2 wrt r?\nAnswer: -39840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 43*s**2 + 4*s - 30*s**2 - 20*s**2 + s**3. Give i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7019.4321 - -7020. What is n rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*q = -3, -2*r - 3*q = -0*r - 20. Let j be 112\/(-1)*4\/(-8). What is the highest common divisor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-2))\/5*2. What is the derivative of h**4 - 7 - b + 9 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255282 less than 1247282?\nAnswer: 992000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 + (53\/((-4081)\/5684) - -15).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -25112, 5, 3 in descending order.\nAnswer: 5, 3, 0.2, -25112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = -i + a, 3*i - 480 = -3*a + 1392. Suppose 0 = 4*p - 2*p - i. Let o = p + -164. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s**2 + 5*s - 2. Let w be ((-9)\/(-6))\/(8\/((-64)\/(-6))). Determine o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let k(q) = 9*q**2 + 3*q + 5. Let v(o) = 11*o**2 + 4*o + 6. Let z(n) = -6*k(n) + 5*v(n). What is -2*l(t) - z(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 15*x**2 + 13*x + 1. What is the units digit of r(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 - (-7957)\/21. Let s = 378 - g. Which is smaller: 0.5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11868 divided by -1\nAnswer: 11868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558958 is divided by 3723?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/1336 (b) -219 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*j = 8, y + j = 6*y + 4. Suppose -3*c - 5*w - 7 = 0, 3*c - 3*w + y*w - 9 = 0. Let v = c + 3. Solve -1 = -u - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/(t\/t**(1\/6)))**(-44\/7)*(t*t**3*t**(-6)\/t)\/(((t*t**(-2\/9))\/t)\/((t*(t*t*t*t**(-1\/5))\/t)\/t)) assuming t is positive.\nAnswer: t**(-8558\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {l: 1, p: 2, h: 3, q: 10, n: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*j + 65*j - 5*i - 27, -10*j - 4*i + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 2.4. Which is bigger: -7\/16 or w?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117586 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -51*y**3 + 23*y**2 - 12*y + 5. Let s(d) = 34*d**3 - 15*d**2 + 8*d - 4. Let p(q) = 5*o(q) + 8*s(q). Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8978 and 1.\nAnswer: -4.8978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.08 + 0.08. Let p = -3.7 - i. Let q = -1.3 - -1. What is the second biggest value in p, q, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -108306?\nAnswer: -108306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 371131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 2 + 0*c + 2*c - 3*c**3 - 4*c to f*c + a*c**2 + r*c**3 + s and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*n**2 - 69*n wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 178*y - 5722. What is w(25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49276265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {d: 3, z: 3, n: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 + f**3 - 3*f**3 - 4*f**3 + f**3 + f**3 + (-2*f + 2 - 2)*(-2*f**2 + 12*f**2 + 6*f**2).\nAnswer: -36*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -696369?\nAnswer: 696357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:17 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67116 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -33. Suppose -195 = -b*m - 3*m. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 2, r: 1, u: 1, w: 2, i: 1}. What is prob of sequence ir?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 3, p: 4, d: 6, u: 2}. Give prob of sequence rdpd.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -39, -58, -77, -96?\n\"Answer: -19*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2399352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/60031512 and -71\/65376.\nAnswer: 240126048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 7*a + 4. Let f be -2*-3*(-6)\/9. Let q be x(f). Solve 3*v + 5*w = 4*w + 11, 4*w = 3*v - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*1*(sqrt(3) - (-2 + sqrt(3))))**2 - (-5*(sqrt(36) + sqrt(1764)))\/sqrt(12)).\nAnswer: 32 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-68)*((-28959)\/(-441) + 13*1).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/19607 and 44\/3554469?\nAnswer: 24881283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52822 is divided by 10432.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y - 4. Let f = -19 - -19. Give a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + -0.07. Let i = 87.085 + -87. Let j = 0.115 + i. What is the nearest to 0 in t, j, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-10)*2\/(-25)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*c + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 32*r**3 + 7*r + 23 - 8*r + 2*r - 2*r - r**2 as u*r**2 + d + t*r + j*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.4531 grams to micrograms.\nAnswer: 201453100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -21. What is the closest to 1 in 0.6, -5, t?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - -1543) + (3 - -4).\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 277, 561, 847, 1135, 1425, 1717, 2011?\n\"Answer: k**2 + 281*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:42 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 27*z**2 + 22*z**2 - 2*z**3 - 48*z**2 in the form t*z**2 + d + k*z + x*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*h + 266 = 0, -31*p - 4*h + 352 = -27*p. Suppose -p*m - 560 = -101*m. What is the highest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -93*1\/(-18)*4. Which is smaller: i or 22?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (2 + sqrt(108)\/sqrt(6)))**2 - (3 + 4*(2 + sqrt(2))**2).\nAnswer: -23 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and 12753.55.\nAnswer: 12761.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407276, 815036, 1222798, 1630562, 2038328, 2446096?\nAnswer: 2853866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 146.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 724*v. Let c(r) = -r - 30. Let i(f) = -3*f - 45. Let k(u) = -3*c(u) + 2*i(u). Give k(p(t)).\nAnswer: -2172*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2313 - 2426 - 65544\/(-580)\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*t - 1066 = 521*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 25 - 23)*(o - 2*o + 0*o) as c*o + n and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (8\/6)\/(13\/117).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86a - -1514?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Let d = -160 - -161. Which is the closest to d? (a) o (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(120)\/sqrt(4)*5)\/sqrt(10) + -5 + 4*4*(sqrt(363) + -1))**2 + 5.\nAnswer: -7224*sqrt(3) + 89198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 - 129. Let l = j + 61. Suppose 6*c + l = 9*c. What is the lowest common multiple of 7 and c?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00337159 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**3 - c**3 - 3*c**3 + (-72*c + 127*c - 81*c)*(-3*c**2 + 3*c**2 + 2*c**2) to z*c + t*c**3 + s + y*c**2 and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 2 + 10*y - 14 - 5*y**2 + 0. Let a be t(8). Solve -a*o + o + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/9 + 16*p**2\/9 - 158*p\/9 - 364\/9 = 0.\nAnswer: -13, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.3, -5, 21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1784 - -2538. Does 66 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -263*o + 58336. Determine b(222).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222873387317.759374 + -223187329054.76. Let c = 313942155 + f. Let p = 418 - c. What is p rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-18153*l**2 - 18568*l**2 + 37354*l**2).\nAnswer: -633*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 403290846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/288 and (-2068)\/(-960) - 1 - (2 + -1).\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539707.6463 plus -104.8?\nAnswer: -539812.4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/12716 (b) -4 (c) 5 (d) 0.1 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/20)*g\/g**(-16)*(g**0\/g)\/(g**8\/g) assuming g is positive.\nAnswer: g**(183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2191217 and -25.\nAnswer: 54780425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4284 + -0.798. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 17*d - 20. Let m(z) = -z - 18. Let x be m(24). Let n = x - -57. Let j be b(n). Solve j*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11609 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.339691mm?\nAnswer: 0.008339691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and 7\/2878.\nAnswer: 11512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 818 - 1243. Let p = 422.91 + l. Let x = p - -0.09. Which is the fourth smallest value? (a) -1\/3 (b) 2\/11 (c) x (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 87*v**2 + 63 + 15*v.\nAnswer: -87*v**2 + 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-42)\/(((p\/p**(-2\/35))\/p)\/(p**7*p)) assuming p is positive.\nAnswer: p**(1013\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177.52 + 171. Round u to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -3897?\nAnswer: -15588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, 0*x - 27 = -3*w + 4*x. Suppose -3*n + 3 = -w, -2*h + 208 = 4*n. Let g = -8 + h. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**15))\/x**(-30) assuming x is positive.\nAnswer: x**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 15*g - 8. Let f(m) = -240*m + 250. Let q be f(1). What is r(q)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*q**2 - q**4 + 268*q - 268*q as s + y*q + p*q**2 + t*q**3 + b*q**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2548, 2522, 2458, 2338, 2144, 1858, 1462, 938?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1334 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9351 - 0.0649. Let j = 0.2 + 0.5. Let z = -4.7 + j. Which is the nearest to 1\/2? (a) o (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -29*m. Let f = 0.039 + 1.961. Which is the closest to -1? (a) m (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7780812.3us?\nAnswer: 0.00216133675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - k**2 + 2*k**2 + (13 - k**2 - 13)*(0 - 1 - 2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/6*14\/(-21). Let i = -1 - r. Find g, given that 10\/9*g + 2\/9*g**3 + i*g**2 + 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a + 7*a**2 - 2*a - 6*a - a**3 + 7. Let l be (-3)\/((-1)\/(-1 + 5\/3)). Suppose -l*t - 3*o + 24 = -0*t, -5*t + o + 26 = 0. Calculate f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20514?\nAnswer: 2, 3, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2305, 1678, 1051?\n\"Answer: -627*i + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - p)*(-30*p - 166*p + 2503*p) to c*p**2 + b + i*p and give c.\nAnswer: 2307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-25)*-5)\/((-2)\/(-7)). Suppose p*c + 560 = -3*c. Let r = c - -58. Sort 3, -4, 1, r in descending order.\nAnswer: 3, r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9533972?\nAnswer: 2, 7, 19, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100001101111000101 (base 2) in base 14?\nAnswer: 1a0d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:29 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 22*g**2 - 114*g - 972. Let z be y(-25). Solve z*x - 17 = r - 19, -3*r - 3*x + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((-5*sqrt(156)*2)\/(2*sqrt(12)*1))**2).\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17762 and 2.18?\nAnswer: 38721.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 142757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -3834 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4) - 3\/6. Suppose -3*r + 5*y - 98 = 197, -5*y - 245 = 3*r. Let v = r + 541\/6. Which is the second biggest value? (a) j (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 + 29 - 35 - 52*i**2 wrt i.\nAnswer: -104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 549\/4. Let u(f) = 49*f - 4. Let w be u(1). Let k = w + -46. Is k >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -6691.\nAnswer: 51\/6691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13186 - -13183. Let z(u) = -3*u**2 - 5*u - 1. Let k be z(-6). Sort k, 2, s, -1.\nAnswer: k, s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -611724498*j**2 - 10014301 wrt j.\nAnswer: -1223448996*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259412528 to the nearest integer?\nAnswer: 16106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 82, 59, 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 - q**2 + 5*q - 4. Let h(z) = 13*z**3 + 2*z**2 - 10*z + 9. Give -2*h(s) - 5*u(s).\nAnswer: 4*s**3 + s**2 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503124518 to the nearest integer?\nAnswer: 38770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**3 - y**2 - 30*y - 36. What is the tens digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -1. Let j = -1 - i. Let o(u) = u - 27. Let r be o(26). What is the closest to -0.3 in -2, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.16053 centuries to millennia.\nAnswer: 1.116053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23210220120 (base 4) to base 2.\nAnswer: -1011100100101000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19668*x**4 - 96*x**3 - 35383980*x wrt x.\nAnswer: 236016*x**2 - 576*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let d(m) be the third derivative of -m**7\/2520 + m**5\/20 + 3*m**2. Let j(v) be the third derivative of d(v). Calculate j(z(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/4 + 297*w**3 + 264627*w**2\/2 + 28*w + 4. Factor m(q).\nAnswer: 3*(q + 297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 - 5*b. Let t be a(5). Suppose -k + t*k + 177 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-150)\/12)*-13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1\/120*i**6 + i**2 + 1\/15*i**5 + 0 + 5\/24*i**4 + 2*i + 1\/3*i**3. Let r(c) be the first derivative of s(c). Factor r(q).\nAnswer: (q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -10*s**4 - 2945*s**3 + 22870*s**2 + 66155*s - 86070 = 0.\nAnswer: -302, -3, 1, 19\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-3443)\/(-626)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1460\/3 + 15646\/33. Let x = k - -136\/11. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530459281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -11*z**6\/4 + 21*z**5\/2 - 117*z**4\/8 + 17*z**3\/2 - 3*z**2\/2 - 67. Suppose t(q) = 0. Calculate q.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3317? (a) 6 (b) 71 (c) 0 (d) -5 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/3 - 11*i. Let t(h) = -2*h**2. Give t(n(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75350.12 - -75348.7064476. Let k = r - -1.414. Round k to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 319 - 4952*x**3 - 8211*x**3.\nAnswer: -13163*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*p**2 - 541*p**2 - 540*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a + 2 = 31*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441426808.\nAnswer: 2, 55178351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 74827*-3\nAnswer: -224481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3071, 0.4, 0, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 7*t + 5. Let r be (4\/(-3)*-3)\/1. Suppose r*u - 2*u = 14. Let n be z(u). Solve 8*l + n*m = 3*l, 4*m = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 2, q: 2, p: 1, e: 3, z: 3}. Give prob of picking 1 z and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4245 + -4259. Let b(u) = 22*u. Let s(l) = 11*l. Give n*s(p) + 6*b(p).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2784086207 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.663 + 0.163. Let h = 2\/7 + -1\/28. Sort s, -6\/11, h in ascending order.\nAnswer: -6\/11, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o + 66. Give h(10).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hofj when four letters picked without replacement from {f: 2, n: 1, o: 1, j: 1, h: 1, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/113 in -2\/3, -4019, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 6820 + -6824. What is the second smallest value in -0.1, 21, -5, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:03 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*3)\/(-3*(sqrt(288) - sqrt(8))).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*r + 3, -3*i - 24 = -4*r + 19. Let p be 45\/6*(-6)\/i. Suppose -150 = -p*d - 5*f, 4 = d - f - 26. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*s + 157 = 0, 3*s - 6 = -f + 29. Suppose -38 = -6*a + 4*a. Let k = f + a. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.005 + 214.495. Let b = p + -215. What is the smallest value in 0.3, 0.2, -17, b?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 8*y**3\/3 + 13*y. Let w(c) = 6*c**2. Let t(o) = -7*o**2. Let j(g) = -4*t(g) - 5*w(g). What is p(j(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1829907 + 0.183. What is w rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4208 - 4139. Solve -v*h + 1006 = 385 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 16. Suppose 23 = t + k, -3*k + m = -4*k. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 8. Suppose 92 + 22 = 19*a. Let m(c) = -4 + a + 0 - 3 + 5*c**3. What is m(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 12*t**3 + 5714*t**2 + 13*t**3 - 7*t**4 - 5716*t**2 in the form h*t + r + k*t**3 + d*t**4 + q*t**2 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283397 divided by 18.\nAnswer: -283397\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24*2 - 2627\/(-10 + -61)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216.378 + 217. Let a = h - 0.6. Let z = 0.084 - a. Round z to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/2)*b)**(-46) assuming b is positive.\nAnswer: b**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 327894*m - 6884451.\nAnswer: -3*(m - 109277)*(m - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9422 by 4711.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + -0.3. Let p = 6208 - 6207. Let o = 0.5 - 0. What is the second biggest value in u, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -4 + (5 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -17. Let p = m + 14.5. Which is the third smallest value? (a) -15 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3 - (4 + -4 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3634701 and -4.\nAnswer: -3634705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.309 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 1. Solve 7 = -5*a - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let r = -805\/114 - -43\/6. Sort -3, r, v in descending order.\nAnswer: r, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1 + 4)\/(-3). Suppose 3*b = u*a + 6, -4*a + 10*b - 7 = 5*b. Let c be 0 + 1 + -4 + -1. Sort c, 13, a in increasing order.\nAnswer: c, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 3*r - 268*r**3 + r - 9*r**2 + 29*r**2.\nAnswer: -268*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 411854 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.5 (b) -0.4 (c) 7 (d) -3\/4 (e) -2 (f) 71 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/(-133)*9\/15.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:48 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 3*v + 6. What is the least common multiple of z(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -956146.\nAnswer: -23\/956146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 123 - 23*n + 7*n + 80 + 9*n.\nAnswer: -7*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2740*p*s**2 - 266*s**2 - 3*s wrt p?\nAnswer: 2740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 729756.8mg?\nAnswer: 729.7568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 156\/7? (a) -104 (b) 2 (c) 1\/7 (d) -5\/3 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q. Let b(u) = -5*u**2 - 11008. Give x(b(z)).\nAnswer: -15*z**2 - 33024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*a - 2121*a + 1164*a + 28455 = 2593*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + n**2 - 2*n + (5*n - 3*n + 0*n)*(n - 2*n + 0*n) + 11*n**2 - 27 + 136 - 110 + 2*n + 1 - n**2 - 1.\nAnswer: 9*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12247065 = 12*h - 3*h. Let l(q) = -24312*q**2 + 13*q - 13. Let v be l(12). Let z = v - h. Round z to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 99 = 48. Calculate the remainder when 30 is divided by (182\/a - -4)\/(2\/112).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -547 (b) -9 (c) 188 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 61.42, -4, -0.05, 1\/4, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -31. Suppose 4*i = -i + x. Solve 2*m + 2*d - 2 = 0, 2*m - d = -0*m + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.3, 0, 4, 1.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4544*s**5 + 10*s**4 + 2276*s + 6.\nAnswer: 90880*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 14*f**2 - 30*f - 34. Determine r(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04497841102 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1210146, -1210173, -1210218, -1210281, -1210362, -1210461, -1210578?\nAnswer: -1210713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113311 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:12 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 0, 0 = -2*q + 5*q + 4*h - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/3 + 31804*p**3\/3 - 10411542*p**2 + 10400940*p = 0 for p.\nAnswer: -16830, 0, 1, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203*k = -3198*k - 35 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(2) + -1 + 4 - (sqrt(8)\/sqrt(4) + -1)**2) - ((5 + (5*sqrt(288))**2 - sqrt(288)) + -1)).\nAnswer: -45*sqrt(2) + 21603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351919.\nAnswer: 351919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403944.1 years to centuries.\nAnswer: 4039.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 6. Let z be (-1)\/(-2) - 110\/(-20). Let h(a) = 1. Calculate z*h(q) + l(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 32. Let k(l) = 10*l + 5. Let a(b) = 5*b + 3. Let j(t) = -5*a(t) + 3*k(t). What is j(p(w))?\nAnswer: 10*w - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/66 and -79\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/6)*b*b**(1\/7))\/(b**(2\/9)*b*b**0) assuming b is positive.\nAnswer: b**(221\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 4 - 3*d**3 + 4*d**3 - 61*d - 60*d + 119*d. Suppose 0*w = -3*w. Let a be c(w). Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*o - 2, 0 = -5*x - 2*o + o + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*t = -a + 21, 3*a = -3*t + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {c: 1, d: 3, w: 6, p: 1, m: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + 12 - 0 - (-10 + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8304*f = 8307*f - d + 82, 4*d + 114 = -5*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.5 - 102. Which is the closest to -3? (a) k (b) 1\/6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1180485704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/5 - 7)\/(14\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 10111011001010?\nAnswer: -10111011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**4\/12 + 7*d**3\/6 - d**2 + d. Let n be o(6). Suppose -n*j = j - 60. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5902 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 2 d when four letters picked without replacement from {f: 3, r: 4, d: 5, a: 1}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*2)\/(sqrt(33)\/sqrt(3)*-4).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 11) to base 13\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 8:10 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 4*l + 20, -4*d - 1062*l - 8 = -1065*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14839 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*m**2 - 671*m - 33106.\nAnswer: -24*m - 671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -155.45, -2, 2\/5, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6077.6 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + c + 24 = 113, 3*x + 5*c - 88 = 0. What is the remainder when 62 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46831, 46483, 46133, 45781, 45427, 45071?\n\"Answer: -p**2 - 345*p + 47177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x - 3. What is n(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1347231, 2694535, 4041971, 5389605, 6737503, 8085731, 9434355, 10783441?\n\"Answer: 11*m**3 + 1347227*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 16*n**2 - 40*n + 15. Let h be u(13). Let l(k) = -h - 3*k + 24*k**3 - 2*k**3 + 2*k**2 - 13*k**3. What are the prime factors of l(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2. Let r(q) be the first derivative of 7*q**2\/2 - q - 12. Calculate r(n(a)).\nAnswer: 7*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 + 5*l**2\/2 - 23*l\/4 + 3 = 0 for l.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 63. Let t = h + 13.0000014. What is t rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + 2*g - 3. Let h(y) = y**2 + 10*y - 8. Let v be -2 + 18\/3 - 21. Let r = -28 - v. Let n be h(r). Calculate t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1710 + 131561?\nAnswer: 129851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from imm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 6 - 2. Solve 4*t - q = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210133698, 210133700, 210133702, 210133704, 210133706?\nAnswer: 210133708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (-42 - -34)) + -27 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -573 + 573.00002232. What is t rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2420, -369, -6 in decreasing order.\nAnswer: -4, -6, -369, -2420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((3390\/9)\/((-490)\/(-735)))\/((-86)\/2)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Suppose -c + s = -j - 2, 15 = 5*c + 5*j. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 + -2)\/5 + -1. Suppose 0 = -b*t + 7*t + 10. Is ((-13343)\/33)\/(t\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -4*y - 4*n, -3*y + 4*n = -43. Does 13 divide 133\/y - (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + -1 + -2. What is the closest to -2\/7 in -10, -1\/11, -1, h?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*(v**(-2\/3)\/v*v)\/v))**(43\/5))**(14\/5)*(((v*v\/(v**1*v))\/v)\/v*v)**(2\/73)\/(v\/(v\/(v**(2\/3)\/v)*v*v*v*v))**41 assuming v is positive.\nAnswer: v**(353489\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 - -10?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -3. What is the remainder when f is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 + 56*r**2 + 194*r + 7. Give h(-9).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/72 (b) 2207 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/7)\/w)\/w)\/w**(2\/7)*(w\/w**(-2\/11))\/(w*w**(4\/9)))\/((w**(-1)\/w)\/(w**2\/w)*w**(-3\/10)\/(w**1*w)) assuming w is positive.\nAnswer: w**(3007\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23018.85 decades to years.\nAnswer: 230188.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81, 688, 2419, 5856, 11581, 20176?\n\"Answer: 97*k**3 - 20*k**2 - 12*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.221616599 + -0.3?\nAnswer: 1.921616599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 303882, 607764, 911646?\n\"Answer: 303882*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 0 + -1 + 5\/5. Let h(t) = -12*t - 43. Let s(y) = -8*y - 29. Let q(a) = 5*h(a) - 8*s(a). Let r be q(f). Which is smaller: 6\/13 or r?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 52374350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -m - j, -3*m = -8*j + 3*j - 729. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, v: 9}. What is prob of sequence lvvl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 3*p. Let r be 16\/(-12)*-1*(3 - 0). Let m be f(r). Suppose -n + 0*h - m*h = -3, -h = 2*n - 6. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmu when three letters picked without replacement from {f: 1, m: 1, u: 1, w: 2, t: 1, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -5715, -8, 10 in ascending order.\nAnswer: -5715, -8, -1, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhg. Give prob of picking 1 h and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 115 = -u. What is the units digit of (u - 7) + -2 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21411, 21435, 21459, 21483?\nAnswer: 21507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 895.21 - -20.79. Let y = -910 + f. Let d = -2\/73 + 160\/511. Put y, -0.2, 0.1, d in descending order.\nAnswer: y, d, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(187) - sqrt(187)*-2))\/((sqrt(132)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*h**3*y**2 - 2*h**3*y + 10*y**2 - 13 wrt h.\nAnswer: -234*h**2*y**2 - 6*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585379*j + 2*j**2 + 585379*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2, 2, -3, -5, -445 in decreasing order.\nAnswer: 5, 2, -2, -3, -4, -5, -445","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 68687*j + 274740. Give d(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -2*m. Suppose m*x = -2*b - 3 + 15, -3*x + 28 = -2*b. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1829*(1 + 1)*(-3)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201779605 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*w - 2*n, 5*w - 3*w - 10 = -2*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 5)*(-1)\/(-4). Solve c = 3*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**7*l**(-13) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*b + 5*g - g, g = -2*b - 1. Let x = b + 2. Suppose -x*s + 48 = 2*s. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309930438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 96 + 141 + 0\/(-1).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (14 - 6) - 2 - -4) + 112.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 - 1d?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 381*h + 83*h**4 - 381*h + (-3*h**3 + 3*h**3 + h**3)*(5*h + h - 3*h) - 2*h**3 + 3*h**4 + 2*h**3.\nAnswer: 89*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -8, 0.5, 1.6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from pmmppppjpjjjmmjmmppm?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-1)\/(-2) + (-638)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/25 (c) -0.069 (d) 0.04 (e) -5\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -1 - (9 - 40). Suppose w*n = 23*n. Suppose n = 2*b - 3*b + 17. Calculate the remainder when 48 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3\/3 + 3*k**2\/2 - 3*k + 2. Let l be n(-4). Suppose 5*m = 26 - l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (4 - 3) - 34\/24667. Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.2, -27, 5.\nAnswer: -27, -24, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1661 - -1661. Put p, -3, 14, 11 in decreasing order.\nAnswer: 14, 11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509550 by -129.\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1463e2 - -23?\nAnswer: -1463be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeeejeqq. What is prob of picking 2 q and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/3 - y - 1. Let i(v) be the third derivative of -7\/60*v**5 + 0 + 0*v**4 - 2*v**2 + 0*v + 4\/3*v**3. Give i(m) + 6*s(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsewoouwmom. What is prob of sequence em?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*p = -0*f + 39149, f - 7827 = 2*p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 36, 111, 258, 501, 864, 1371, 2046?\n\"Answer: 4*y**3 - y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -620, 58, -0.1?\nAnswer: -620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:41 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 8840 = 0. What is the derivative of -4 + l*w**3 - 1798*w**3 + 67 wrt w?\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*a - 59. Sort 1, 4, a, -1.\nAnswer: a, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:40 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p - 153 - 10*p + p**3 + 152 - 8*p + 3*p**2 as r*p + u*p**2 + o + f*p**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 19.08. Which is the third biggest value? (a) -5 (b) 1 (c) -0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-35))\/(20\/(-14)). Factor 2\/5*z**2 + 0*z**3 - t - 1\/5*z**4 + 0*z.\nAnswer: -(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hixahqe. What is prob of sequence xh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkakkkkak. Give prob of sequence akka.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1662, -1660, -1658?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 91015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 124472, 124484, 124494, 124502?\n\"Answer: -c**2 + 15*c + 124458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 156*d**3 + 172 - 170 - 2*d)*(2*d**2 - 11*d**2 - d**2).\nAnswer: -1560*d**5 - 20*d**3 - 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108, 182, 254, 324, 392, 458, 522?\n\"Answer: -h**2 + 77*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 34. Suppose f + 1 = -p, 0*f + 1 = 3*f + 4*p. Let l = g + f. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915 = -48*i + 228 - 81 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 93 + 69 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40*1*(-561)\/1122)\/(1*-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 219*o - 201. What is the thousands digit of u(96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0065 + 0.4065. Which is the nearest to 0.2? (a) h (b) -10 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 - 7*y**2 + 4*y - 6. Is 14 a factor of q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 149 in descending order.\nAnswer: 149, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3671 is divided by 1219.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1301\/5652 - -5\/628. Which is the biggest value? (a) x (b) -4 (c) 30 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28437 and 0.2.\nAnswer: 5687.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 65*r**2 + 40*r - 40. Let m(o) = -5*o**2 - 3*o + 3. Suppose -4*w - 8 = 2*p, -7*w - p - 13 = -2*w. Determine w*j(k) - 40*m(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from jjjqw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 48. Suppose -a - 5*x = 2*a - 43, 5*x + 34 = 4*a. Let u be o(a). Let w = u + -6. Solve 2*d - w + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 47 - 19 = -2*m, 0 = -5*m - 70*j + 67*j + 169 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 9*a - 5. Let g be v(-8). Suppose y - 1 = g. Solve 12 = -y*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 997345*i**2 + 1717390 wrt i.\nAnswer: 1994690*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 848, 852, 860, 872?\n\"Answer: 2*r**2 - 2*r + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -104, -134, -164?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885204463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62870629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by 664\nAnswer: 81\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(4\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let v(f) = -5 + 42*f - 70*f + 35*f. Let r(i) = -5*h(i) + v(i). Let y(z) = -z. Give y(r(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135964230.\nAnswer: 2, 3, 5, 601, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699 less than 3700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -6 - (1 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 7 + 1. What is the highest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and -39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/12)\/(-119 + 109).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l - 10. Let s be t(5). Suppose -s*f + 2 + 3 = 0. Suppose -7*i - f = -15. Solve -4*k - 22 = -i*v, 12 = k + 5*v - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 153620*f**2 + 1382562*f.\nAnswer: 2*f*(f + 9)*(f + 691281)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 42 = -0. Let t = 21 + i. Suppose t = h - 12 + 2. Calculate the smallest common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/3*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 1}. Give prob of sequence mmc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/4 of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12808968?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 + 369*l - 4987. Give m(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1384295 divided by 2?\nAnswer: 1384295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c - 1. Suppose 4*m + 1 + 3 = 2*u, 2 = -2*m - 6*u. Let j(f) = 15*f**2 + 6*f + 6. Determine m*j(p) - 6*d(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (11 + 39 - (0 - (-7 - -22))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/6)\/(6\/(-36)). Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/75 + (-84)\/(-45). Suppose 2*z + d = 0, -2*h - 1 + 9 = -2*z. Solve m + h = -l, 3*m + 4*l = -l - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11641, -45969, -103181, -183277, -286257, -412121?\nAnswer: -560869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 41*d**2 + 8*d + 314. Determine s(-41).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and -971200.2609.\nAnswer: -971153.2609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 - t**3 + (1 - 2 + 2)*(3*t**3 - 5*t**3 + 4*t**3) - 1 + 2*t**3 + 1 + 2*t**3 + 3 - 3 + 4952*t + 387*t**3 - 4952*t.\nAnswer: 390*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(91)\/(sqrt(7) + (sqrt(7) - sqrt(7)*1*6)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-6)*(-33)\/(-22). Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 137 = 29. Let m be (6*8\/f)\/(18\/1809). Suppose v - m = -v. List the prime factors of v.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 6*s. Let l be u(-5). Let q be (l\/(-28))\/((-12)\/14). Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/42 - w**5\/7 - w**4\/14 + 2*w**3 - 9*w**2\/2 + 27*w\/7 - 572. Solve h(x) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 8*m**2 - 13*m - 12. Let t be b(-9). Let w = t + -21. Determine z, given that 0 + 2\/3*z**w - 2\/3*z - 2\/3*z**2 + 2\/3*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384710787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.8 - 61.8. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 11*d + 4. Let o be p(-11). Suppose -l = -1 - o. What is the first derivative of l*f + 0*f - 7*f - 2 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4274617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + 2*l)*(-37*l - 60*l - 177*l) - 3*l**2 - 6*l**2 + 4*l**2.\nAnswer: -553*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n**3 - n**2 - n + 1. Let b be c(1). Let a(t) = -2*t + 40. Let q be a(16). Suppose 0 = m + q - b. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*b**4 - 7*b**2 + 2977 wrt b?\nAnswer: 144*b**3 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 6 = 24*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -103, -171, -259, -373, -519, -703?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0589 * -1.29.\nAnswer: 0.075981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27.42? (a) -0.4 (b) 1533 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 802451, 1604897, 2407343, 3209789, 4012235, 4814681?\nAnswer: 5617127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38712206?\nAnswer: 2, 13, 1488931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 121*h - 984. What is l(10)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 1 - (-6324)\/4. Suppose 5002 = 4*y - m - f, -3281 = -2*y + 3*m. Suppose 3*o - 2*o - 416 = -3*p, -y = -4*o + 4*p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216979?\nAnswer: 17, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012599 and 6.\nAnswer: 2025198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 - 11 + 2*b + 18.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/17 + 10*a**3\/17 - 12*a**2\/17 = 0 for a.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2*(-63)\/54?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 1 + 0 - 2*w**2 + w + 9*w**3. Let z be -2*(-3)\/2 - 2. What are the prime factors of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -28. Suppose 10*j - 13*j = -l. What is the derivative of -3*t + j*t + 10 - 2 - 3 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((0 + sqrt(396))*5 - (sqrt(396) + (sqrt(396) - -2*(sqrt(396) + 0))) - ((sqrt(396)*2 - sqrt(396)) + 5)*-2) + 4)**2.\nAnswer: 9720*sqrt(11) + 92016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + (5 - ((-985)\/(-100) + -5)). Which is smaller: 313 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/9 - (16 + -13). What is the closest to -1\/9 in 9, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from vvavvlavl?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 11. Let f be q(13). Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/32 or 30?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arr when three letters picked without replacement from {r: 2, d: 1, a: 1, k: 2, y: 4}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 7\/40*w**6 + 0 + 0*w + 5*w**3 + 1\/105*w**7 + 50*w**2 + 0*w**5 + 0*w**4. Differentiate k(g) wrt g.\nAnswer: 8*g**3 + 63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t + 35*t**2.\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + y + 4. Let g be i(4). Let x be 2 - 5\/((-15)\/g). Let r = x + 7. Calculate the greatest common divisor of 8 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**8*s))\/s)**(-42) assuming s is positive.\nAnswer: s**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/4*3\/(-6). Let h be 1 + 2 + n + -3. Suppose -j - 4*j + 275 = h. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2618 - 5664.5. What is g rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 567756972*d - 40293497406826098.\nAnswer: -2*(d + 141939243)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*n + 14, -5*w - 20 = -w - 2*n. Let g be (w - 308\/(-12))*150000. Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/((t**(-2\/13)*t)\/t))\/t)**(-43))**(-8) assuming t is positive.\nAnswer: t**(9632\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 539*a**2 + 121*a. Let i(u) be the first derivative of -3*u**3 - u**2 + 1612. Determine 363*i(m) + 6*l(m).\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 - 25. Suppose 5*q - 4*r - 145 = 0, 3*q + 3*r - f = -0*r. What is the highest common factor of q and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (5 + (sqrt(99) - (-1 + sqrt(99)) - sqrt(99) - sqrt(99)) - sqrt(99)) - (3 + sqrt(22)\/sqrt(2)*6))**2*-6.\nAnswer: -9558 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 284351 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2105, 6659, 13665, 23123?\nAnswer: 35033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324716424?\nAnswer: 2, 3, 97, 139483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 6:39 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 484 + -484.000558. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + -2 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 7*z - 7. Let v be f(5). Calculate the remainder when (-69)\/12*(v + -11) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632659599.\nAnswer: 3, 11, 13, 163859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*u**(-9\/7)*u)\/(u\/(u\/(u\/u**(-1))*u))**29 assuming u is positive.\nAnswer: u**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -52*y. Let s(l) = -858*l - 191. Let r be s(-4). Let p(t) = -6477*t + r*t + 3238*t. Calculate p(z(u)).\nAnswer: -104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 90\/240*16\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 52, 2, -5, -6, 17 in increasing order.\nAnswer: -6, -5, 2, 10, 17, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/12 - 5*n**3\/3 - 2*n**2 + 49*n + 59. Let w(x) be the first derivative of i(x). Calculate w(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2585000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 13) in base 6?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) -4 (d) -0.102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/6 + 2*r - 1. Let s(x) = x - 118. Determine a(s(m)).\nAnswer: m - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, a: 2, x: 8}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 126126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7 + 1. What is the second derivative of 11*y - y + 15*y**4 + 9*y**n - 9*y**2 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 28*q - 30. What is the remainder when u(-16) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047030 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1\/5 (b) 0 (c) 242 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/5, 3, 0.4, 12\/111913?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 21*d - 18. Suppose d*k + 21 = 4*i + 4*k, 14 = 3*i - k. Suppose -j + 1 - 14 = -4*g, 3*g - i*j - 14 = 0. Solve 4 = -g*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4553 + 1335 - 586 - 1708 - 3672)*(-a**5 + a**4 - a**4) + a**5 + 3*a**5 - 3*a**5 + (a**4 - 4*a**4 + a**4)*(-2*a + 2*a + 2*a).\nAnswer: 9181*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68178031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 811714961 to the power of 1\/2, to the nearest integer?\nAnswer: 28491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894554 is divided by 529.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.7 and 61991?\nAnswer: 61984.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + b - 2 - 5 = 0, -2*p = 5*b - 19. Suppose 3*g - p*g = 24. Calculate the greatest common factor of g and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -83\/6, 5\/6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*x**5 - 3523*x**3 + 1056807*x**2?\nAnswer: 1560*x**2 - 21138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + 0 + sqrt(3) + 3)**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/1672)\/((-81)\/8019)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18299 - 4273 = -114*x. What is the least common multiple of 77 and x?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (121 - -104)\/((-5)\/(-845))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2421700 to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 8*v + 2*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-2)\/(-28)). Let v(y) = -2*y**2 + 8*y**2 - f*y**2. Let n(t) = -36*t. Determine n(v(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 299? (a) -0.6 (b) 175 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 + 3)*(l**5 + 3*l**5 - l**5).\nAnswer: -24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 447886 to the power of 1\/2, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**3 + 4*q + 43*q**4 + 58 + 36*q**2 - 36*q**2 - 46*q**4 - 6*q wrt q.\nAnswer: -36*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1384\/11 + 126. Let x = 144 + -1009\/7. Which is the nearest to 1? (a) m (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**6*s**2)\/(s*s*(s\/(((s*s**(-2\/3))\/s*s)\/s))\/s)**(-2\/49))\/((s\/(s\/(s\/s**(1\/3))*s))**(-7\/4)*s**(-1)\/(s\/(s*s**(6\/7)))) assuming s is positive.\nAnswer: s**(1699\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 + 0 + (-14880)\/120. Suppose -640 = 3*q + 2*q + 5*x, 0 = -x - 4. Is u at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1438387366\/547665 + 2\/109533. Which is bigger: g or -2626?\nAnswer: -2626","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 727285 and 13065.\nAnswer: 2181855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 324102029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccchchchhhhcchhch. What is prob of picking 2 c?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -45. Suppose -17*p + j*p + 279 = 0. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217291*w**2 + 134451*w**2 - 90486*w**2 - 256861*w**2.\nAnswer: -430187*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13975 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 8*w + 5. Solve 2*f - s = 5, -35 = -w*f - 0*f - 5*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.92904 centimeters to micrometers.\nAnswer: 919290.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143553 and 836295?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 - -2.09. Let g = a + 0.05. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2\/9 (b) -0.5 (c) 20.9 (d) 9 (e) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyidqdiz. What is prob of sequence idd?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21735 + 4022*r**2 - 4022*r**2 - r**3 + 5*r.\nAnswer: -r**3 + 5*r - 21735","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqbbbbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110101111111110111111011 (base 2) to base 13\nAnswer: -2c17cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*a - 369, -a + 0*a + 115 = 3*p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.3. Let z = 4193.3 - 4197.3. Which is the closest to -2\/9? (a) -0.4 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12544.9 to the nearest one hundred.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5, 4*m = -4*u + 9 + 3. Let r be (u\/(-4))\/(2\/(-4)). Put 0, r, 4 in decreasing order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23096179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15804 or -15695?\nAnswer: -15804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d9e3 + -219?\nAnswer: -2dbfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-5))\/((-148)\/370)*(-8)\/10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21079 * -3.\nAnswer: -63237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -70.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30932, -61863, -92794?\n\"Answer: -30931*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0249741, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3800*h**2 - 4 + 2 + 3799*h**2. Let s(z) = -365*z - 1. Determine u(s(t)).\nAnswer: 730*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 119 - 51 + a - 46. Let d(j) = -2*j**2 + 101 - 47 - 54. Determine n(d(t)).\nAnswer: -2*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-48))\/(8\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 136578*o - 2186016.\nAnswer: 3*(o - 16)*(o + 45542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669580 is divided by 636?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 6, 27.\nAnswer: 0, 5, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 10805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.41 and -2?\nAnswer: -4.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 75 = -0*r. Suppose -5*d = r, -3*d - 27 = -3*f - 8*d. Let u be 4\/14 + 24\/f. Solve 12 = w - 5*w, 0 = -3*q - u*w - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3, t: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (6 + (2 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 596467081 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 11*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16610045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 4*l - 4*l)*(-6*l + 3*l + l) - 8*l - 2126*l**2 - 18*l + 26*l as h + r*l + s*l**2 and give s.\nAnswer: -2120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 7 + 2 - 5 + 69*h.\nAnswer: 69*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.109? (a) 0 (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95436*s + 286311*s - 95438*s - 95441*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31634 + -31633. Let d(q) = 40*q**3 + 2*q - 2. Let s(z) = -z**3 - z + 1. Give m*d(p) + 2*s(p).\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 26.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o + 1. Let v be b(-8). Let z(y) = -2 + 0 + v - 4*y + 3*y. Let x be z(-1). Solve 2*j = -x*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29392 and 17?\nAnswer: 499664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.6 + 4.6. Let j = 10 - 18. Let b = j - s. Do b and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1893287906 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 7 = -23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - n - 56 = 3*o - 24, -2*o - 198 = 38*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.08, 319, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 212 and -198368.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 179*s**2 + s + 11. Let r = -9661 + 9650. Let y(v) = v**3 + 36*v**2 - 2. Determine r*y(p) - 2*m(p).\nAnswer: -p**3 - 38*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 8, c: 6, j: 3}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 1, g: 14}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 9270690?\nAnswer: 9270690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 8*i = -18*i. Suppose 0 = -i*a + 7*a. Solve a = 3*j + 3*c - 0*c - 12, -5*j = 2*c - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-30)*2\/(-156)*-9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let l = 8 - c. Solve l*x + 0*x = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(45) + (sqrt(45) - (0 + sqrt(45) + sqrt(45))) + (sqrt(500) + -1)**2 - -5*((sqrt(250)\/(sqrt(5) - sqrt(125)))\/sqrt(10))**2) + 2.\nAnswer: -19*sqrt(5) + 8073\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3\/11, -1, -258 in decreasing order.\nAnswer: -3\/11, -0.3, -1, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 32*r**2 - 3*r - 2147. Determine b(34).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -62*((-18)\/12 - -1). What is the highest common factor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17915, 35839, 53773, 71723, 89695, 107695?\n\"Answer: c**3 - c**2 + 17920*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 335, 764, 1365, 2138, 3083, 4200?\n\"Answer: 86*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.814 - -5.87. What is f rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -13132?\nAnswer: 13134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 13. Let m be v(0). Let r(n) = 17*n**2 - 817*n + 45. Let q be r(48). Is m bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*w**2 + h**3*w**2 - 11*h**2 - 3*h*w - 19*w**2 wrt h?\nAnswer: 40*h**3*w**2 + 6*h*w**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z**3 - 51*z**3 + 83*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 251*o**2 - 40*o + 700. What is w(63)?\nAnswer: 2149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*30\/84*12\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14612 + 774470\/53. Find the common denominator of a and -76\/159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3651545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**3 - 743380*p**2 - 57270295*p + 58013670 = 0.\nAnswer: -78, 1, 148753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Let y(k) = -6362*k**2. Calculate l(y(d)).\nAnswer: 40475044*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 577500 = -28*c. What is c rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1552 and 69\/8?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/5)\/(r**8*r*r)*(((((r\/r**(-2\/9))\/r)\/r*r)\/r)\/r)**(-3\/32) assuming r is positive.\nAnswer: r**(-283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29540081371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 17 = 28. Solve 0 = 3*n - 0*n + 3*m, 0 = 4*n - c*m + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*r + 28949 + 11160, -4*r - 4*f + 53404 = 0. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32113 - 1313112020?\nAnswer: -1313210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from xxxfiiixx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56209?\nAnswer: 56209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6 and -13\/1284832.\nAnswer: 3854496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856162547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -14*m**5\/9 - 332*m**4\/9 - 178*m**3\/3 - 128*m**2\/9 + 88*m\/9 = 0?\nAnswer: -22, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -93*v + 1. Let t be (-1)\/4 + 12\/(-16). Let r be y(t). Suppose -2*w + r = -o, -2*w + 235 = 3*w - o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z + 70 = -247 - 1191 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10) - (-22)\/4. Suppose 4*w - v = 7. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3 + 1464*i**2 - 534357*i - 1074578 = 0.\nAnswer: -2, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -209609831 and -209609832 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1340 and 2246041?\nAnswer: 44920820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 655415 and -132.086.\nAnswer: 655282.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -709*c**5 - 7*c**4 + 14*c**3 + 298*c**2 - 6*c + 68 wrt c.\nAnswer: -42540*c**2 - 168*c + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23034 (base 5) to base 15.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255\/16 + 1025\/48. Let c = 51\/4 - 41\/12. Find the common denominator of h and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*r + 6751*r + 7086*r + 11151*r)*(3*r**4 - r**4 + 0*r**4).\nAnswer: 49708*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402 + -21020?\nAnswer: -20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i - 1. Let m(b) = 111 + 4*b**2 + b - 111. Let h(p) = 2*p - 20. Let w be h(11). Give w*f(a) + m(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 28 = -4*u, -u = x - 5 + 2. Solve -u*a - 2*m + 7 = -6*m, -15 = 3*a + 4*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.3 + 40.5. Let a = -150 + v. What is the nearest to 0.2 in -0.1, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 1. Suppose 45*s - 7 - 83 = 0. What is b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18655 divided by 5\nAnswer: -3731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 5*v + 6. Let i = 6 - 4. Suppose -4*f - 3 = 2*s - 9*f, s + i = 2*f. What is the remainder when 34 is divided by l(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 92?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1 + (2 + 1 - 2)*(1 - 1 + 1) + 4 - 2 - 1)*(0*i - 7*i + 0*i)*(-7 + 13 + 11)*(-3*i + 2*i + 0*i) to c*i + x + t*i**2 and give t.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2134\nAnswer: 2\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115\/3 - 38. Let f = -15.8 + 15.6. What is the nearest to k in f, 4\/3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 40 = 3*i. Solve -i*k = k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 8. Let f be j(-8). Let b = f + 11. Let k(g) = -2*g**3 + g**2 + 6. Let n(z) = 3*z**3 - z**2 - 7. Calculate b*k(s) - 4*n(s).\nAnswer: -2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 8 - (-1 + 3) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -19, -36, -57, -82?\n\"Answer: -2*i**2 - 7*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 0*c + 52*o - 12 = 50*o, 4*o - 22 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*q = -78, 5*l - q - 70 = 60. Suppose 2 + l = 4*z. What are the prime factors of z\/(2 - 3\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 12*m + 576000 = 0. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)*h)\/h)**(15\/7)\/((h*h**1)\/(h*(h\/h**(-1\/9))\/h)) assuming h is positive.\nAnswer: h**(-122\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 + 0*m**2 + (3*m - 5*m + m)*(3 - 3 - 2*m))*(1151*m**3 + 1442*m**3 - 1415*m**3).\nAnswer: 4712*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2187) + 4 + sqrt(2187) + sqrt(18)\/(sqrt(6) + -1*sqrt(150)))**2.\nAnswer: -416793\/16 - 1290*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 0*r = 3*r + 8, m - 2 = -3*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/5))\/w**(1\/2))**(1\/73)*((w*w**(-1\/2))\/w**1)**(-2\/53) assuming w is positive.\nAnswer: w**(1737\/38690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12296088 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 510298242 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i**2 - 41*i + 19. Let t(d) = 2*d**2 + 8*d - 4. Let g(k) = 11*t(k) + 2*z(k). Calculate the lowest common multiple of 18 and g(-5).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:17 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -21.02. Let j = -0.02 + u. Suppose 3*k + 3*q + 15 = 0, 3*k + 2 + 5 = -q. Sort 2\/9, j, k in ascending order.\nAnswer: k, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 154 = 242 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12355 + -7755. Let k be -3*((-15)\/9 - -1). Suppose -k*j + o = -j. Round j to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1)*(-45)\/(-10). Suppose -21 = -5*j + c. Suppose -2*q - 128 = -3*v, -j*v + 205 = -v - 5*q. Calculate the remainder when v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 - 23 = 0. Suppose -g = -f*g + 40. Let a = 198 + -190. What is the greatest common factor of a and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4\/7 + 44*w**3\/7 - 132*w**2\/7 + 20*w\/7 + 200\/7 = 0. Calculate w.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.84 rounded to the nearest integer?\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 - 24*b**5 + 48*b**3 + 224*b**2 + 2*b?\nAnswer: 120*b**3 - 1440*b**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39462, 39465, 39468, 39471, 39474, 39477?\n\"Answer: 3*r + 39459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23175 + 13506. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose -4*o = -3*o - 3*t - 3, 0 = 2*o + 3*t - 24. Solve 5*b = -2*x + 15, 2*x - 4*x = -r*b + o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10521 - 10008. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17860 and 1444?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -1.1316\nAnswer: -27.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m*n**3*s**3 + 305*m*n**3*s + 81*m*n**2*s + m*n + 69*n**3 - 90*n**2*s**3 + 3*s**2 wrt n?\nAnswer: -18*m*s**3 + 1830*m*s + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.29 + 0.29. Let q = -24 + 9.9. Let k = p - q. Which is the nearest to k? (a) -1\/2 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 + 2*r**4\/3 - 7*r**3\/6 - 3*r**2\/2 + 3*r. Determine i(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -4, -147?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let l(o) = -3*o. Give n(l(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 22 = -5*v + 6, v = -g + 12. Suppose -g*w = -15*w - 17. Solve 3*m + 4*u = -w, u - 7 = 2*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0 + 0*d**2 - 5*d**3 - 11*d - 1\/40*d**5 - 1\/360*d**6 + 1\/6*d**4. Let r(h) be the second derivative of g(h). Factor r(i).\nAnswer: -(i - 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082418 equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(539) - (-4 + (sqrt(539) - (sqrt(539) + -1*sqrt(539) + sqrt(539)))) - (sqrt(539) + 0)*-4) + 1)**2.\nAnswer: 350*sqrt(11) + 13503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17056373 is divided by 8528181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 114.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-3))\/((-448)\/1218) and -63\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1777?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -0*s + 6. Let z be -24*s\/13 - -2. Factor 2\/13*j + z*j**2 + 0.\nAnswer: 2*j*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 24 + 4 = 3*q + 5*f, 3*q - 58*f + 13 - 28 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 7*o + 8. Calculate the remainder when (-129)\/(-6)*(o + 0) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 205.1695 tonnes?\nAnswer: 205169500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 11*g - 6. Let n be x(-6). Let a(f) be the first derivative of n*f**2 + 0*f + 2\/15*f**3 - 3. Factor a(s).\nAnswer: 2*s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -24. Suppose -3*a + 45 = f, 2*f + 30 = 2*a - 0*f. What is the remainder when v is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26\/7, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 1928*p + 232324.\nAnswer: 4*(p + 241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y - y + 15*y + 50*y + y**2.\nAnswer: y**2 + 112*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3545059 and 20079.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187.27 + -187. Let r = -0.01 + -0.06. Let s = y + r. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 17. Let n(t) be the first derivative of t**4\/4 - 2*t**3\/3 - t**2 + 6*t + 66. List the prime factors of n(i).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -100. Suppose 4*z - g*z - 353 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 - 9*c + 8. Let t be j(7). Let i = t - -15. What is the remainder when 25 - (-1 + (0 - 0)) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -2*s**2 + 7\/6*s**3 + 1\/4*s**4 + 0*s + 0 + 1\/60*s**5. Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g + 142*g - 14 = -n, 0 = 5*n + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 18*n - 17. Let w be q(-19). Let b be -1 - -2 - 2\/(-8). Is b greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**2 + 13 + 27*m**2 + 11 - 18 + m**3. What is j(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 2 - 8 = 0. Suppose -4*m + 5*m - 2 = 0. Calculate the highest common divisor of n and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -0.1, -1\/5, 149 in ascending order.\nAnswer: -3, -1\/5, -0.1, 3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 172 = -4. Let y(a) = 7*a + 8. What is the remainder when c is divided by y(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -44\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/31, 4, -5, 2 in ascending order.\nAnswer: -5, -15\/31, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9\/4*s**2 + 1\/4*s**3 + 9\/4 - 1\/4*s = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 + 11*a**2 + a + 2. Let i(g) = 11*g**3 + 21*g**2 + 3*g + 4. Determine -7*d(o) + 3*i(o).\nAnswer: -2*o**3 - 14*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-153))\/(12\/(-36))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 - 1188*k - 3*k**2 + 2397*k - 1209*k.\nAnswer: -11*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239 is divided by 244.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.13327 and 22.\nAnswer: 24.93194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -10*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.9. Let r = -2.3 + 2. Let h = -468.5 + 467.5. Which is the closest to h? (a) -1 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-3) + 3)*-6. Let z(l) = l**2 - 11*l + 30. Let i be z(9). Suppose 0 = i*p - 16*p + 20. Solve -p = -b*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*q - 75*q - 71*q - 193 + 96 + 94 to x + v*q and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1270.45 not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*v - 19 + 4, 3*i - 5*v - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + 0. Calculate the remainder when l is divided by -3*((-38)\/6 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r - 4 = -43*r. Let v(c) = -41*c**2 + 0 + 49*c**2 - r*c + 2. Calculate v(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 8*t = -m - 2, -36*t + 8 + 0 = -49*t - 6*m - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-1)\/(-26)). Suppose 279*v = 270*v + 45. Solve -4*o + g = o - 4*t, -v*t = -o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k + 1. Let g(z) = 4*z**3 + 2*z**2 + 2*z**2 - 5*z - 7*z**3 + 9 - 5. Give g(h) - 5*p(h).\nAnswer: -3*h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 747767\/160 or 4673?\nAnswer: 747767\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11039 - -0.0628?\nAnswer: -0.04759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5343013, 5343011, 5343009, 5343007?\nAnswer: 5343005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 1061, 1856, 2651?\n\"Answer: 795*i - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*x + 42 + 46 + 37 + 38 - 165 as l + w*x and give w.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*d - 130*d = -432. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l)**(-9)\/(l\/l**(-13))**(2\/85))**(-4\/15) assuming l is positive.\nAnswer: l**(12352\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2278 + 25057\/11. What is the biggest value in -0.5, p, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186707916 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + m + 26, 23 = -4*x - 7*m + 8*m. Sort x, -4, -19, -1 in decreasing order.\nAnswer: -1, -4, x, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -1\/5, -1\/10 in ascending order.\nAnswer: -4, -1\/5, -1\/10, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -645 bigger than -642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -25 + 2 + (-1175 - -1187).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.02. Let v = t - 0.05. Let a = 13.1 + -8.1. Put a, 1, v in decreasing order.\nAnswer: a, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6*q + 2*q + 40, 5*q - 3*v - 28 = 0. Suppose -q = l - 5*t, 0*t - 3*t = -l - 4. Find the third derivative of 2*i**5 - 3*i**2 + 4*i**l - i**5 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43413253 and 3484.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*t - 197*t + 44*t.\nAnswer: -391*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*l + 298*l - 87871 + 6554 = 57583 for l.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13110820 is divided by 325?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 181*h. Let x(r) = -2*r**2 - 354*r. What is -13*l(i) + 6*x(i)?\nAnswer: i**2 + 229*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -413.9 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7606, 1939, -7514, -20759, -37802, -58649, -83306?\nAnswer: -111779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, q: 3}. Give prob of sequence hh.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - -1 - (1 - -2). Let z = -42 + 72. What is the greatest common divisor of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564*h - p = -558*h - 12, -2*h - 5*p = 52. Factor 0*v - 14\/9*v**3 + 0 - 2\/3*v**2 - 2\/9*v**5 - 10\/9*v**h.\nAnswer: -2*v**2*(v + 1)**2*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-21 - -4) - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35566*o + 12752 - 25507 - 2340*o + 12755 to s + p*o and give p.\nAnswer: -37906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-6)*(18 - (-133245)\/30) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = -40*t + 34. Let k = t - -52. Let w = -4 + k. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -24*b - 25. Let s be f(19). Let i = -204 - s. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654069365.\nAnswer: 5, 139, 887, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 + 3*x - 3. Let k be u(2). Suppose -d = -4*o + k, -4*d = -d - 15. Solve -r - 10 = 2*l, 3 = o*r + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-21) + 6\/(-21). Suppose 0 = 3*v + 1 + 2, -x*v - 90 = -4*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/350 and 17\/707900.\nAnswer: 4955300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19 and 6315215120382.\nAnswer: 6315215120363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.579 + 16.5789993189. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y + 6*y - 2*y + (-2 + 2 + 2)*(2*y - 4*y + 0*y) + (5 - 3 + 4)*(8*y - 14*y - 4*y) + (2 + 3 - 3)*(-4*y + 3*y + 0*y).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 555651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, -14, 106, -4\/3, -1\/2 in descending order.\nAnswer: 358, 106, -1\/2, -4\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 16. Calculate the remainder when 30 is divided by p(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 24. Suppose -54 = 2*a - 14. Suppose -l - 4*l = -45. What is the lowest common multiple of j(a) and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 126 + 41. Solve 0 = -3*d + n - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16093 and 2926?\nAnswer: 32186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.425, -1\/5, -1\/2 in decreasing order.\nAnswer: 4, -1\/5, -0.425, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4020196 days?\nAnswer: 34734493.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 56 - 161*w)*(4*w**4 - 7*w**4 - 5*w**4 + (0*w**3 - w**3 + 0*w**3)*(5*w - 2*w - 5*w)).\nAnswer: 966*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7908\/29 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**2\/2 - 1505. Let c(g) be the second derivative of -g**3\/3 + 3*g**2 - 14*g. Calculate c(v(j)).\nAnswer: 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31727243447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -91, -138, -187?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 1. Let k(h) = h**3 - 22*h**2 + 22*h + 3. Let m(t) = -4*g(t) + k(t). What is the tens digit of m(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = 3*q - 95 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxllxxlsxxxlvx. Give prob of picking 1 l, 1 x, and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:28 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1517, 1518, 1519, 1520, 1521, 1522?\nAnswer: 1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.7. Let o be (2 + -2 - -2) + (-48)\/22. Let t = o - 1\/55. What is the closest to -1 in l, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264.9904 + -265. Let a = q + 0.00517. Round a to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 483 = -239. Let s = -226\/3 - m. Calculate the common denominator of s and -48\/95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-491)\/(((-3)\/24)\/((-15)\/(-30))).\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 3. Let f be j(3). Let h(p) = -p**3 + 6. Suppose -68*w + 194 + 22 = -56. What is the least common multiple of w and h(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64135948 is divided by 88220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229213 + 229393.6944. Let h = n - 181. Let g = h + 0.3. Round g to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15 + (-2453)\/(-165) + (-1 - 46\/(-30)). Suppose 18\/5*t + c*t**3 + 0 - 12\/5*t**2 = 0. What is t?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 25, -4*b - 2*m = -b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7686*f + 38426. What is g(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6438411 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let x = 21.1 - 22. Let j = 0.1 - x. Which is greater: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120.6 - -120.5. Let o = 2 + -1.8. Which is the nearest to -1? (a) k (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 13. Let t be z(10). Let g = t - -35. Let j(k) = -20*k**2 + 17*k**2 + 3*k - 2*k. What is j(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose -n*d - 3 = -2*v - 23, -2*v = -2*d + 16. Let y = 4 + v. Let f(m) = -m + 3. Calculate f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -74. Let d = -26.98 - w. Let j = d + 0.08. What is the closest to j in -2, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10108015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 906842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-14)\/(-3))*-2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + 0.17. Let m = n - -0.03. Let s = 0.034776 + -0.334776. What is the smallest value in 1\/4, s, 0.4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-20)*88\/33.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose s = 2 + 7. Solve n - 4*t + s*t - 17 = 0, r*n - 2*t = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let z(c) = -c - 1. Let i be z(f). Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from ltllllaautlcllllull.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/10395 and 82\/75?\nAnswer: 51975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41408?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1190 + -1173 - (-3 - -47).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.639441 micrograms to tonnes.\nAnswer: 0.000000000008639441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:47 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 19. Sort 0, -4, u in decreasing order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/234*18\/(-28) + (-6)\/14.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.5 - 69.4627. Round u to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = g - 21, 45*g = 41*g + 2*u + 56. Calculate the least common multiple of 87 and g.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29869 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n. Let w be 7\/(-28) - 27\/4. Let g(r) = r**3 - 3*r**2 - 4*r - 2. Let c be g(4). Let b(t) = 2*t. Give c*s(o) + w*b(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3341333?\nAnswer: 17, 196549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(9\/2)*a)\/a)\/(a\/(a\/a**(1\/2))))\/(a**10*a**(3\/2)*a) assuming a is positive.\nAnswer: a**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845647.\nAnswer: 29, 31, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o\/o**(5\/4))\/o)**(-8\/7)*(o**18*o)\/o*o\/(o*(o*o\/o**9)\/o)*o assuming o is positive.\nAnswer: o**(183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3\/2, 23 in descending order.\nAnswer: 23, 2, 3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-9 - -5) + -120. Find the common denominator of (508\/v)\/(18\/(-45)) and (-75)\/(-21) + (-6)\/8.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 9. Let r(l) = 6*l**2 + 1. Let n(o) = 345*o**2 - 11660*o - 55. Let c(a) = 25*a**2 - 848*a - 4. Let v(d) = 55*c(d) - 4*n(d). What is q*r(z) - 5*v(z)?\nAnswer: z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u. Let q(r) = -3*r**2 + r - 4. Let w(b) = 2*l(b) + q(b). Let h(d) be the first derivative of w(d). List the prime factors of h(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 4:36 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 626663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 11 - 3*z + 0*z.\nAnswer: -z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 3*g)*(-1 - 2 + 4)*((-5 + 3 + 4)*(2 - 3 - 1) - 3 - 2 + 6) + (g + 5*g - 4*g)*(59 + 17 + 12) - g - g + 4*g.\nAnswer: 184*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -0.156.\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1 - 1 - 1 - 3 - 15*h - h**2. Let u be d(-11). Calculate the highest common factor of 100 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-132)*6)\/(4\/(203\/7*1))\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-1)\/1)\/(31\/(-496)*-16))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -15) + -17 + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2329 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1437306 or 1437310?\nAnswer: 1437306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/48 and 33\/10808216.\nAnswer: 64849296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 9717103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947424?\nAnswer: 2, 3, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5565)\/1325*10\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 1) + (-6)\/6. Let o = 42 - w. Suppose -p - p = -o. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/30 + s**4\/24 - 2*s**2. Let n(z) = -2*z**3 + 6*z - 2*z - 2*z**2 + 5*z**3 - 3*z. Let q be n(1). What is f(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249392014?\nAnswer: 2, 8969, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2090\nAnswer: 1\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245 (base 7) in base 2?\nAnswer: -10111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-8449)\/91 - -17) + -5*(-6)\/195.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 7*d**2 + 8*d. Let r = -9 - -17. Let n be m(r). Suppose n*u - 3 = -u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 121, 124, 107, 64, -11, -124?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 + 6*i**3 - 2*i**2 - 58*i\/3 - 12.\nAnswer: 2*(i - 2)*(i + 1)**2*(i + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (1419\/6192)\/(1\/(-76))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 69.0174 (c) 0.4 (d) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**8\/5040 - p**7\/630 + p**6\/180 - p**5\/90 + 3*p**4\/8 + 4*p**2. Let i(j) be the second derivative of u(j). Factor i(n).\nAnswer: 4*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -10 (c) -0.5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let r be i(-2). Suppose 3*x = x + r. Suppose 3*c + 2*l = 4*l + 56, 4*c = -x*l + 98. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*j + 3*j**3 + 10*j**2 - 4*j**4 - 5*j**2 + 36*j wrt j.\nAnswer: -96*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 1 + -5)\/1. Let r be (-29)\/(b\/(-3)*3). Which is smaller: r or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5. Let f be c(11). Suppose -2*p = 4*h + f, -h + 11 = p + 14. What is the nearest to 0 in 2\/7, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 1. Let b be j(2). Let z(v) = v**2 - 7*v + 9. Calculate the remainder when z(b) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1*(-3*sqrt(272))**2 - ((2*sqrt(425) - sqrt(425)) + 0 + (sqrt(17) + 1)**2 + sqrt(17)).\nAnswer: -2466 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 37.5, -0.1, 1, -2\/19 in increasing order.\nAnswer: -2\/19, -0.1, 3\/7, 1, 37.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.85 - -6.85. Are p and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73102837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.49 - -0.49. Let m = 34.7597 - 4.75802. Let h = l + m. Round h to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 70*p**2 + 8*p + 295. Determine r(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b - 129. Let j be r(-91). What is the greatest common divisor of j and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (17 + -12) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j + 51. Determine y(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.03 (c) 4 (d) 1.61279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:44 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-2\/53)\/m*m)\/(m**3*m))\/(m**(2\/9)*m*m**5))**(-14\/9))**(-1\/3) assuming m is positive.\nAnswer: m**(-68516\/12879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -11, 3, 27 in descending order.\nAnswer: 27, 7, 4, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 3. Let w be ((-10)\/(-3))\/(270\/2268*-7). Let g(u) be the first derivative of 16\/3*u**3 + 16*u + 0*u**2 + 1. What is w*g(p) + 22*l(p)?\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -535 - -550. Suppose -5*q - 15 = -5. Let h be ((-2)\/4)\/(q\/20). Solve 2*l - s = -0*l - h*j, 25 = -4*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24191 is divided by 2675?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21040 (base 5) in base 3?\nAnswer: 1220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-3))\/(-1))\/(28\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721906 is divided by 35446?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 32. What is the third biggest value in 4, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1506 = -413146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - w**2 - 2*w - 113. Let x(y) = 86*y**2 - 86*y**2 + y**3 + 0*y**3. Let s(j) = -l(j) + x(j). Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 85*d - 300.\nAnswer: 5*(d - 20)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**10)\/n*n*n*(n**(2\/69)*n)\/n*n**(-12)\/(n**(-12\/13)\/n))**14 assuming n is positive.\nAnswer: n**(37072\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 2*h**2 + 8*h + 5. Let f be (-6)\/(-9)*(-5 - 1). What is the units digit of i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75.781346*-3\nAnswer: -227.344038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 (base 14) in base 10?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.21058 or 28\/53?\nAnswer: -2.21058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 1 + 11. Suppose 5*o - x*o = -48. Let f = -3 - o. What is the highest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 183\/2562 - 2\/28. Is 36\/53 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2184024 and 1377.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-54))\/((-2)\/(-4)). What is the second smallest value in 1, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 55760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwt when three letters picked without replacement from {v: 1, w: 3, z: 2, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 3, v: 3, d: 1}. What is prob of picking 1 z and 3 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*c - 43*c + 4. Let r(u) = -5*u + c*u + 11 + u - 5. Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 13) to base 7\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -25. Let l(g) = g**3 + 8*g**2 - 9*g - 3. Let v be l(-9). Sort z, 5, v.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:27 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-4))\/1 - 2\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 128 = 98. Let h be (-119)\/(-35) + (-9)\/j. Solve 3 - 23 = -h*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -605*f + 273*f + 236*f to h + g*f and give g.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9218052 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let z be 35\/6 - (-10 + 236\/24). Let f(h) = -1 + h**2 - 26*h - h**3 + 27*h - 3*h**3 + z*h**3. Give f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + sqrt(1539) + 3 + sqrt(1539))**2 + (sqrt(1539) + 0)**2*-4 - (-3 + -3 + (sqrt(1539) + 0)**2).\nAnswer: 216*sqrt(19) + 6178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(17)*1 - (sqrt(17) + 1*sqrt(17) + 0 + sqrt(17) + 4))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(5 + sqrt(891) + -1 + sqrt(891)*-1 + sqrt(891) + (2*sqrt(891) - sqrt(891)) + 5)*-3 + 3)**2.\nAnswer: 3240*sqrt(11) + 32976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3947 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971257041.\nAnswer: 317, 18836773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3361266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -2 - (-4 + (1 - 0) - (-391 + 365))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*3\/(-8)*(638 + -634).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -85*x + 1874. Calculate l(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**8\/1512 + 2*p**7\/945 - p**2\/2 - 1. Let s(o) be the second derivative of z(o). Factor s(h).\nAnswer: 2*h**4*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2, -432 = -5*w + 5*q + 53. Let f = -41 + w. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11149013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 4. Let t be q(-4). Let i be t\/(-20) - 4\/(-10). Suppose 21 = 3*p + 3*w - 0*w, -4*w = p - i. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717389 is divided by 700.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4728556 by 1741.\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*b, 3*b + 15 = b + 5*f. Let n(r) = r**3 - 6*r**2 + 6*r - 3. Determine n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.7135 + 1.1835. Let d = o + 103.9. Round d to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + ((-8)\/12)\/(2\/(-33)). Suppose -4*a - 13 = 5*f, 3*a - 47 = 5*f - 13. Solve -2 = -3*t + k - h, t - a*k + 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 6*a**2.\nAnswer: -2*a**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15143174 - -11240638?\nAnswer: 26383812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d - 3*z, 3 = 3*d - 4*z + 13. Let n = d - 1. Is 2 - n\/((-6)\/(-38)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 351040.7 centuries in months?\nAnswer: 421248840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 1507*s**5\/15 - 1667*s**3\/3 + 1105*s**2 + 3. Find the first derivative of p(y) wrt y.\nAnswer: 12056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11\/43, -1\/6, 0, 2\/287, -5?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000294555066 to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 + 9*x + 2. Suppose 3*q = -0*q + 42. What is the remainder when v(-7) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by -6908\nAnswer: 313\/6908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.5 (b) -1\/3 (c) 4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 384?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(60)\/(sqrt(50)\/sqrt(10))) + sqrt(33)\/(-2*sqrt(11)) + (2 + (sqrt(3) + -2 + sqrt(3) - sqrt(3)))**2.\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787457713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.34. Let p = i + -0.04. Let g = -20 - -39\/2. Which is the closest to g? (a) p (b) -2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 1868*c - 126285. Determine u(82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 1, s: 1, o: 2, i: 2, a: 1}. Give prob of sequence ows.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-8)\/(-4) - 5. Let n(m) = -39*m + 3. Let i be n(g). What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/12 + (-10)\/(-3) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1585947 and 561?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30000322212 (base 4) to base 2\nAnswer: -1100000000111010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5*y + 31 = 9*p, -2*p + 9 = -y. Which is the closest to -4? (a) p (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65224\/((-4)\/(-4)) - -24.\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*v = 15, v - 2 = -2*o - 2*v. Let t(q) = -q - 3. Let w be t(-4). Let m = w - o. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -5, 0.044, 1 in decreasing order.\nAnswer: 386, 1, 0.044, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2972.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 12*a - 6. Let v be o(10). Let d = v + -253. Let u = d - -251. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in -2\/15, -4, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*z**4 + 2574*z**3 - 4*z**2 + 9051655*z - 1.\nAnswer: 936*z**2 + 15444*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/24*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 5. Is -1*(-39 + u) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 192.394467ms?\nAnswer: 0.0000022267878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28448 and 885952?\nAnswer: 6201664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - j + 4*j + 4*j - 4*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(66)\/(sqrt(96)*-5) + 4).\nAnswer: -sqrt(11)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 9 - 10 + 5*y**3 + (-3*y - y + 2*y)*(67*y**2 - 77*y**2 + 88*y**2) + 3*y**3 + 3*y**3 - 4*y**3.\nAnswer: -149*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483320 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/10)\/(o*o\/((o*o**(-2\/37)*o)\/o*o)) assuming o is positive.\nAnswer: o**(17\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 24*m**3 - 2 + 172*m**3.\nAnswer: 148*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6369 and 1034?\nAnswer: 598686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) -0.345 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256139 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-7) - ((-701)\/100 - -1 - -4). Let n(q) be the third derivative of 0*q - q**2 + r*q**5 + 0 + 1\/10*q**3 + 1\/20*q**4. Factor n(u).\nAnswer: 3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 1464.\nAnswer: -1463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/85 or 13822?\nAnswer: 13822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3534*d + 55 - 14 - 34. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/4 - 2*z**3\/3 + z**2 - 3. Let o(g) = 1 - 7*g**3 + 5*g**3 - 2. Let w be o(1). Give m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Let m(d) = 8*d + 6. Let v(y) = -40*y - 30. Let p(x) = -11*m(x) - 2*v(x). Let o(j) = -7*j - 5. Let g(i) = -7*o(i) + 6*p(i). What is g(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p - 3. Let r(n) = n**3 - 13*n**2 + 13*n - 15. Let i be r(12). Calculate the remainder when 4 is divided by m(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(5*h + 6*h - 3*h) + h + 0*h + h)*(270*h**2 - 38*h**4 - 270*h**2).\nAnswer: 228*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3*w + 2)*(-2 + 1 + 3) + w + 3*w - 3*w + 2 - 2 - w + 352 - 352 - 25*w + (0 - 3 + 1)*(-5*w + w + 2*w) as a + r*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89167 and 7091123.\nAnswer: 4693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 + -6 - 1) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, -1\/5, -32\/5 in descending order.\nAnswer: 0.2, -1\/5, -4, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 86. What is the closest to k in -3, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 177115295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 21000 = 4150. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -6. Let s(p) = p**3 + 9*p**2 + 8*p + 21. Let l be s(-5). Let o = l - q. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 696 - 715. Let r = -12.7 + 12.2. Sort -0.3, z, r in descending order.\nAnswer: -0.3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -24. Let c = 391 + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1071*t + 13167. Calculate c(-10).\nAnswer: 2457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1289120 and 840?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 21*p - 40. Give y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.660351 and -0.024.\nAnswer: -3.684351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 74.5. Suppose -3*q + 5 - 2 = 2*x, -4*x + 14 = -2*q. Which is the third biggest value? (a) o (b) -3\/2 (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-294)\/33 + (-6)\/(-33). Calculate the remainder when (8 + 1)\/(3\/15) is divided by 168\/y - (-4)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262644 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 5*d**2 + 2*d - 4. Let i be t(-4). Suppose 4*b = 12 - i. Let j(n) = -n**b + 2*n - 5*n + n. Determine j(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 + -271. Suppose 147 = 8*i + m. Solve -h = -i*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from sllzzzqzx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13777075 greater than -13777072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, -0.018?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43459654 and 37338.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3134.8 - -2745. What is r rounded to the nearest integer?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28593, 119124, 270011, 481254, 752853, 1084808, 1477119?\nAnswer: 1929786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and -225.17.\nAnswer: 54.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166714649*f**2*i**3*z - 2*f**2*i**2*z - 419*f**2*i - f*i**3*z - f*i**2*z + 72*f*i*z - 3*f*z - 5*i - 2*z wrt i?\nAnswer: 1000287894*f**2*z - 6*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 minus 0?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/70 and -50\/1589.\nAnswer: 15890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5886*m + 10. Let l(t) = -81*t. Calculate l(k(s)).\nAnswer: 476766*s - 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k, -2 = -5*h + k + 26. Suppose 5*o - 15 = -2*q + q, 5*o + 4*q = 0. Solve -2*s + 6*s = 16, h*b = -o*s + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -38, -55, -72, -89, -106?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47309 (base 15) to base 14\nAnswer: -5c929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1571212944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 12*z + 62 = 0. Suppose 43*k - 648 = z*k. Calculate the highest common divisor of 36 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 63*g**3 - 19*g**2 + 86*g - 19. List the prime factors of u(7).\nAnswer: 3, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286 + 6*b**3 + 286)*(3*b - 6*b + 4*b).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 1)\/(60\/80). Let t = -181 + 261. What is the highest common factor of t and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1156020 by 12.\nAnswer: -96335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205233, -410449, -615665, -820881, -1026097, -1231313?\nAnswer: -1436529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in 3, 2\/3, 3\/4, 22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 1070*t**3 - 58300*t**2 + 112360*t.\nAnswer: -5*t*(t - 106)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/a*a*a\/(a*a**3)*a*a*a\/(a*a*a\/a**4*a)*a**4\/a*((a*a*a**(-1)\/a)**(-9\/2))**(-7) assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/54*4\/7)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 0, -b - 31 = -p - 3*b. What is the first derivative of 21*i**4 - 14*i**4 + 14*i**4 + 19 + p wrt i?\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2468 - -783. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 671892 and 39825.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32975 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -0.17 (c) -5 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-3\/11))**(-3\/7)*((x*x**1\/x)**(-3))**(-43) assuming x is positive.\nAnswer: x**(9936\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1458 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205425377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**6\/120 - 2*x**5\/15 - 7*x**4\/24 - 4*x**3\/3 + 59*x**2 + 3*x - 22. Let k(v) be the first derivative of y(v). What is k(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-15*m**4 - 22*m**4 + m**4)*(2*m + m - 2*m).\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90 - 174 - 167*s**5 + 264 - 407*s**2 wrt s.\nAnswer: -10020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -29*z - 898. What is the smallest common multiple of (-45)\/(-4) - 6\/(-8) and n(-31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:03 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let y(v) = 362*v. Give k(y(n)).\nAnswer: -724*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 + u - 5. Let l(y) be the third derivative of y**5\/10 - y**4\/24 + y**3 - 2*y**2. Let k(g) = -5*a(g) - 4*l(g). Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 5, 9, -2, 93 in increasing order.\nAnswer: -5, -2, -1, 5, 9, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 519 + -71. What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.635 times 0.3?\nAnswer: -0.1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44344.628 rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20813 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/((-76)\/(-24)) + 5 + 3. Sort -6, q, 1, -9, 15.\nAnswer: -9, -6, 1, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s - 3*a, -4*a + 1 - 2 = 3*s. Let y(k) = 3 + 6*k**2 - s*k**2 + 4*k + 0*k**2. Does 3 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1428 is divided by 304.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 2*a**2 - 2*a**2 - 327*a**3 + 325*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 66. What is the smallest value in 44\/7, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-7*16\/92*((-1503)\/18 - -72).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36021344537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616622229?\nAnswer: 23, 70287923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 325 - 333 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmkcmmcmmkxkx. Give prob of picking 2 c and 1 m.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07065 + -0.07. What is m rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocockkcckokkc. What is prob of sequence ok?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197322 is divided by 425.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1581 - 1?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - 98\/((-238)\/(-34)). Let a(u) = -3*u + 3*u**2 + 0*u - 6*u**3 + 1 - u**2 + u. What is a(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-615)\/10)\/((-128)\/(-152) - 1). Is y smaller than 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16638406 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by -157?\nAnswer: 174\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (38*(-17)\/(-2261))\/(2\/(28\/(-198)))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13199334 = -5777*g + 5771*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 - -320. Let i = 3521 + -3509. Calculate the greatest common factor of f and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409 - -168. Let j = t - -479. Calculate the highest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + q**3 + 4*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9822*s - 9821*s - 9826*s + 29465*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(605) + sqrt(605)*-1 + -1 + 1 + -3*sqrt(605))**2 + 1 + -2.\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*d = -105*d - 60. What is the smallest common multiple of d and 1514?\nAnswer: 9084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568608?\nAnswer: 2, 7, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 77*x**2 + 4*x + 11. Suppose -10 = 2*r - 6. Let h be 1\/r + (-4)\/(-8) + 4. Is n(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 6*t + 1. What is the lowest common multiple of y(-4) and (-7 + 1)*-1 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*n - 2*x - 0*x, -5 = -5*n - x. Let a be (-30)\/(-4) - (-2)\/4. What is the units digit of a*2\/(4\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10752 divided by 224\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 214.\nAnswer: -2568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3)\/((-30)\/9 + 4). Solve f*u + 2 - 18 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/6 + 8*w**3\/3 + 11*w**2 - 50*w + 1. Calculate the least common multiple of f(-9) and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhi when three letters picked without replacement from qiqhvyqvvh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -98461*v. Let m(y) = 144*y. Determine p(m(s)).\nAnswer: -14178384*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 680708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 228341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o - 712. Determine z(63).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 9:00 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-100)*(-125)\/(-25))\/(-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -212?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4\/9 (c) 3 (d) 0.5 (e) 2.6 (f) 66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*m + 629*m - 88*m = -166*m + 26656 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + -2 + (sqrt(684) - (sqrt(684) + 0) - sqrt(684)))**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 - 39880858*p + 39880860 = 0 for p.\nAnswer: -19940430, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -475586 minus -0.15?\nAnswer: -475585.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*b - 0*b. Let h = b - -42. Suppose 5*o = -2*s, s - h = -2*s + o. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {o: 2, t: 1, u: 1, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.25 + -11.3. What is h rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288380\/888147 - -2\/22773. Let g = 782 + -30494\/39. Let r = x - g. Which is the nearest to 0? (a) 2 (b) -2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2535 = -i, -i - 21*w + 2571 = -18*w. Solve i*q - 8 = 2545*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**8\/336 - 3*d**7\/280 - d**6\/80 - d**5\/240 + 42*d**2. Let n(i) = 0. What is i?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from vvvvivvvivvvvi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 0 + 2*f + (5 - 1 - 2)*(2*f + 0*f - f) + (-9 + 9 + 5*f)*(-13 + 7 + 14) to k + p*f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 97. List the prime factors of -2 + 336 + 45\/b.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*w + 4*w = 0, w = -4*h. Let c be 33 - 5 - (-1 + h). Suppose -5*m = -4*s + 150, s = -4*m + m + c. What is the remainder when 207 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/35)\/(6\/3)*14*-2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 6*y = -4*g - 4, -3*g + 3*y = 6. Find the common denominator of 77\/8 and ((-1)\/10)\/((-24)\/1185 - g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v**2 + 8*v + 7. Give x(-3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 236825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3))\/i**(-2\/109))\/(i*(((i\/i**(-10\/9))\/i)\/i)\/i*i**(4\/7)) assuming i is positive.\nAnswer: i**(-18295\/6867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83009969609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 4*o)*(-74 - 3*o**2 + 74)*(1 - 2 + 0).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193441374 is divided by 64480455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*c - 146 = -0*q, -c = -q + 25. Suppose j = -3*m + 7 - q, -5*m = 4*j + 63. Let b be ((2\/(-4))\/((-3)\/j))\/1. Put 5, b, -8 in increasing order.\nAnswer: -8, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from {n: 4, c: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:50 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.7 + -24. What is k rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174210.\nAnswer: 2, 3, 5, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 44 + -12 + -30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413665 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4 + 4099*d**3 + 4204*d + 1 wrt d.\nAnswer: -24*d**2 + 24594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-606)\/408 - -3. Is -168 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h - 5*q - 0*q, -h + 4*q - 1 = 0. Let o = -2 - -3. Let d be 1\/o*0\/(-2). Solve -h*g + 0 + 3 = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012545 rounded to 4 decimal places?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 46*s**2 - 26*s - 97. Calculate h(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.8 - 8.7. Which is the smallest value? (a) -51\/4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2362470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39134605.\nAnswer: 5, 157, 49853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 - 13 = t, 0 = -3*n - 2*t + 10. Suppose -9*l = -32 - n. Put 3, l, -4, 5 in decreasing order.\nAnswer: 5, l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74417918689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-20*o + 20*o + 6*o**5) + 2*o**4 - 6*o**2 - 20*o**4 + 8*o**4 + 8*o**4 - 47*o**5.\nAnswer: -41*o**5 - 2*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7203 = -107*q - 339*q - 583*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 25. Let a = 14 - s. Suppose 3*l - 119 = -5*p, a*l + 2 = p - 11. What is the greatest common divisor of p and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61635302087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 740, 801, 1000, 1391, 2028?\n\"Answer: 9*a**3 + 15*a**2 - 47*a + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**4 + 3 + 957*l**2 - 1 - 2*l - 4 - 1002*l**2 + 1 to the form g*l**4 + d*l**2 + y + i*l + w*l**3 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26100 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-11))\/c*c**(-7\/2)*(c\/(c*c**(4\/7)*c))**(-2\/149) assuming c is positive.\nAnswer: c**(-30203\/2086)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 643293161*p**3 - 662214853 wrt p?\nAnswer: 1929879483*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + z + 80 = -7*t, -5*z = -20. Calculate the common denominator of 113\/96 and -4 + 0 + -1 - t.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 46 - 2. Let g be (2 + 145\/1)\/(9\/p). Let s = g - 80. Calculate the remainder when 88 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j**3 - 5*j**2 + 6*j - 7. Let y(i) = -3*i**3 + 433*i**2 - 150*i + 866. Let a be y(144). Give u(a).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1*1 - -1. Let n(m) = -2*m**2 + 2*m. Let r be n(10). Let u be ((-8)\/(-6))\/((-5)\/r). What is the highest common divisor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, 2061.\nAnswer: -1, 1, 2, 2061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-2)*(-5)\/(15\/3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*j + 176 = 174, -2*j = l + 6. Let m(x) = x**3 - 6*x**2 + 3*x + 5. Let a be m(5). Sort 2, a, -4, l in decreasing order.\nAnswer: 2, l, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 16 = -l - 5*o, 3*o - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-9)*23\/(138\/(-27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Let x(i) = -n + 0 - i**2 + i + i**3 + 3. Let f(h) = -h - 2. Let b be f(-2). What is x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35191484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/8448*-32*2\/(-30).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48 - 0.08. Let k = 0.404 - v. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.84 times -6?\nAnswer: -59.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3*(-3 + 2)). Let a = -1 + 1.5. What is the third smallest value in b, 3\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/910*(-14)\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.054067 + 0.01\nAnswer: 0.064067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*i**2 - 1\/5*i**4 - 2\/5*i**3 - 4\/5*i + 0.\nAnswer: -i*(i - 1)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6526 and -19.939.\nAnswer: -32.9511914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102870 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 33*a**2 - 61*a - 36. Let c be (-31)\/(12\/(-24) + 1\/(-2)). Let t be p(c). What is the nearest to -0.4 in t, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-17)\/h*h*(h*h**(-17\/3)*h*h)\/h)**(-2\/31))**(1\/12) assuming h is positive.\nAnswer: h**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = l - 9*n - 291551, 5*l + n = 1457723. What is l rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/33 + (-2)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 145 divided by 587\nAnswer: 145\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268.04494 + -268.3. Round g to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 - 7*j + 1. Let s(o) = -o**3 - 14*o**2 - 5. Let r be s(-14). Let i(l) = l**3 + 7*l**2 + 13*l + 9. Let d be i(r). What is x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642765 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 - 81.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221 or 0.2?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1143*s + 1221*s + 5 - 2362*s. Calculate h(-16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.9, 0.5, -7\/11, -3, -1.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.904 - 2.8016. Is s at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**18\/l)\/(l*(l\/(l*l*l**(2\/9)))\/l*l)*(l\/l**6)\/l**(-12))**(-2\/71) assuming l is positive.\nAnswer: l**(-436\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Differentiate 10 - 5 - 3*o**2 + 10*o**q with respect to o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88 and -11.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -96, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60976 - -60970. Let k = 6.06 + -0.06. What is the closest to 1\/3 in o, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1 + 4 - 6*j**2 - 3. Let l(h) = 5*h - 6*h + h - 2*h**2. Determine m(l(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -6399135.\nAnswer: -2\/2133045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - b + 3 = 0, 3*c + 4 - 11 = -5*b. Is (0 - c)\/(-5) + 1286\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 80. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 16*i + 18. Let w be b(15). Let y = w - 9. Calculate the smallest common multiple of y and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 17*v**2 + 15*v - 199. What is g(-18)?\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 - 2*s. Let n be b(-2). Suppose -w = 2*c - 3*c + 9, -15 = -c + 4*w. Calculate the greatest common factor of c and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -15, 1, 3.\nAnswer: -15, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 956 and 20?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 571342 - -1?\nAnswer: 571343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*w**2 + 40*w**2 - 332*w**2 as m*w + v*w**2 + o and give v.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315 (base 6) to base 12.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 593615148 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -2) + (-16)\/(-4). Let m be ((-9)\/(-27) - y\/6)*2. Solve -m*r - 40 + 32 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/(1*sqrt(2)))**2 - (sqrt(2736) + 0 + sqrt(2736))) + 4.\nAnswer: -24*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2622*o**4*q + 3*o**2*q - 17*o*q + 38*q wrt o.\nAnswer: -31464*o**2*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-103)*(706\/16 + -4). Let s = m + -3\/103. Sort -1\/3, -1, s in descending order.\nAnswer: s, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -8. Suppose -h - 2*h = 2*z - 6, -h = 5*z + 11. Sort z, 2, t in decreasing order.\nAnswer: t, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38585 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 10. Let p be v(-8). Let x(s) = -243*s - 11*s**p - 17 + 264*s - 6. Let t(b) = -7*b**2 + 14*b - 15. Let f(c) = 8*t(c) - 5*x(c). Determine f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 36*l**2 - l - 6. Let n be p(-18). Suppose n*j - 9*j - 12 = 0, s - j = 314. List the prime factors of s.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s - 104*s + 28*s + 26*s + 21*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -9*l**8\/28 + 97*l**4\/24 - 30*l**2 + 2*l. Find the second derivative of m(x) wrt x.\nAnswer: -2160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 222 = -3*w, 2*f - 96 = -3*w - 0*w. Differentiate -7 + f + 41 - 8*y wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 + -206. Put 0.4, -39, m in increasing order.\nAnswer: -39, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 758*t + 645*t = 101990 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16437473.29 take away -377.8?\nAnswer: 16437851.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = -5*g - 4, -5*o - 10 = 0. Let t = -1851 - -1868. Solve 3*x = 3*c - g*x - 9, 4*x + t = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 5 = 0. Let t = 0.0142 - 221.2142. Let o = -221 - t. Sort o, 4\/11, r in ascending order.\nAnswer: o, 4\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238409.\nAnswer: 29, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/20160 - m**7\/1008 + m**6\/360 - m**5\/20 + 2*m**2. Let v(g) be the third derivative of x(g). Calculate v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:50 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(300) + 0 + sqrt(300)))**2 + sqrt(300) + sqrt(300) + sqrt(300) + (-1 + sqrt(300) + 5)**2.\nAnswer: 110*sqrt(3) + 30316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m. Let k be (-2 + 1)*1*m. Suppose 4*y + k - 3 = r, -4*y + 2*r - 2 = 0. Calculate the greatest common divisor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20972\/(-186739) + 2310\/39655?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3178 in -0.1, 1, 0.4, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.525 - 24.3227658.\nAnswer: -53.8477658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 111 = -110. Put -26, -4, w in descending order.\nAnswer: w, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 - 10*s + 27. Calculate the smallest common multiple of p(3) and 57.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3204987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 3*a - 99, 4*q + 58 = 15*a - 14*a for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/40 - (-652)\/10. Let p = 4867\/5 - 38921\/40. What is the second smallest value in -0.5, m, p, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22608 + 52519 = 3811*w - 3798*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*h**2 - 51*h**2 + 110*h**2 - 18 + (-4*h + h + h)*(0 + 2*h + 0) + 269*h + 37*h**2 - 269*h to the form f*h**2 + v + j*h and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*z - 912 + 869, 4*z = 2*w + 36 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (24 - 4) + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58709200.\nAnswer: 2, 5, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + 5*b - 6. Let c be w(-6). Let o = 758 - 757. Solve q = -c*q - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + ((sqrt(35)*-2)\/sqrt(5) - -2*(sqrt(7) - (1 + sqrt(7)))**2)).\nAnswer: -10*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*n + 24, -7 = m - 3*n + 9. Let c be m*(-3 + 0 + 0). Suppose -c*j = -0*j - 72. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-3 - (1\/(-1) - 199)). Solve -185*b + f*b + 42 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 44. Suppose -2*s**w + 2*s**2 - 3*s + 16 + 22*s + s = 0. What is s?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-14)\/(-42) - 8\/6). Suppose d*j = k + 3*j + 19, -5*k + 3*j = 5. Let c(l) = l - 14. Let u(p) = 5. What is k*c(q) - 11*u(q)?\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + sqrt(405) + -2)*4*-4)**2 + 1 + 5*(sqrt(125)*-4)**2)*-2.\nAnswer: -851490 + 36864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 5*v + 1. Let q(m) = m. Let p be q(0). Suppose l + 5 = -p*l. Calculate d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2028826 divided by 65446.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1618 = -6*r + 1922. Suppose 5*a + r = 5*o, 254 + 84 = 3*o + a. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -509*q**6\/60 + q**5\/30 + q**3\/6 + 104*q**2. List the prime factors of x(-1).\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4773178 and 5913?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 17 = 71. What is the least common multiple of 40 and j?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 48. Calculate the lowest common multiple of w and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1765 + 2248 - 4735)*(-x + 4*x - 5*x) to o + l*x and give l.\nAnswer: 1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, t: 2, q: 2}. What is prob of picking 1 t and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 125903, 126344, 126785, 127226, 127667, 128108?\n\"Answer: 441*s + 125462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 + -15)*(-46)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41240.06 nanograms in kilograms?\nAnswer: 0.00000004124006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2956 is divided by 61?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -5*c + 1, 2*q - 4*c - 4 = 0. Suppose -q = -4*k - 4. Suppose -k*t - a + 43 = 6, 0 = -2*t - 4*a + 22. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 5368?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2161421, -4322839, -6484257?\n\"Answer: -2161418*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 7*x + 8. Let r be u(4). Let v be 15\/6*r\/(-15). Let o(i) = i**3 - 5 + 13 + 6*i - 5 - v - 6*i**2. Calculate o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 5\/3*b**3 + 11*b - 2 - 1\/4*b**4 + 11\/2*b**2. Let q(l) = l**2 + 2*l + 2. Suppose 2 = d + 13. Calculate d*q(x) + 2*z(x).\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times 5?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 69 = -23*z. Let a be ((-2)\/(-6))\/(2\/6). List the prime factors of (a\/2)\/(z\/138).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 89*u**2 + 1939*u + 535. Calculate z(-48).\nAnswer: 1927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 4, z: 2}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.3, -4, -439, -1 in increasing order.\nAnswer: -439, -4, -1, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1061634*y**3 - 48521 wrt y?\nAnswer: -3184902*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/((-100)\/(-210))*(-12)\/9.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and 93\/4396?\nAnswer: 17584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-467*q + 316*q + 247*q) + 2*q + 0*q - 3*q + 4*q - 2*q - 4*q.\nAnswer: 285*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 465*j - 2789. What is q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9*j*j**(-12)\/j*(j*j\/j**2)**27)**(2\/25) assuming j is positive.\nAnswer: j**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 99098\nAnswer: 25\/99098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -651*u + 103. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.78, 0.2, 1\/5517, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -163280.871?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -160 - -3?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-594)\/10 - (-8)\/20. Let l = -56 - f. Suppose -o - l + 7 = 0. Let i(d) = d - 1. Determine i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1705.605 - -25749179\nAnswer: 25747473.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 760?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -73821, -4\/9, 2, 12\/11, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*o**5 + j**2*o - 6*j**2 + 184*o**5 + o**2 + o - 61 wrt o?\nAnswer: -60*j**2*o**3 + 3680*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 41032520?\nAnswer: -41032532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93321906727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7558 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: Collect the terms in 271*w**2 + 24*w**3 - 271*w**2 - 3*w**3 - 16*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8\/21 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 26 - (0 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30566 - 8223. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314225771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -6.876, -5, -1, -0.05?\nAnswer: -6.876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*h + 5, 2409*h = -3*k + 1214*h + 1205*h - 9 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 36248450?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let r = -329 - -5590\/17. Let w = r - -23\/34. Sort g, w, 3\/5 in descending order.\nAnswer: 3\/5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*17*-1*(2\/9)\/(10216\/(-22986))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.7 (c) 2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 83 - 8 = 0. Let k = -84 + 97. Suppose k + r = 4*g. Is g greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 106*n - 106*n)*(-n**2 + 6*n**2 - 4*n**2).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -99. Let d be (-2 - (p - 1))\/(-2). Suppose -4*v + 5*u + 3 = -v, u - 3 = d. Find the common denominator of v and 36\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 - 1834920*o**3 - 210435047808*o**2 - 420862755968*o = 0.\nAnswer: -229364, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.9082 litres to millilitres.\nAnswer: 850908.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3473 + 3473 - 1693*q.\nAnswer: -1693*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 1. List the prime factors of r(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*x + 61 = -1947 - 1391. Suppose l = 0, -4*l + 112 = 4*u - 56. Let b = u - 9. What is the greatest common factor of b and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 366.8 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let k = 6 + w. Suppose 9 + k = m - 5*l, 5*l + 23 = 2*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 + 0*w**2)*(-24 + 17 + 26)*(1 + 2*w**2 - 1).\nAnswer: 76*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - 8\/(-1). Let y(d) = -4 + 6*d**2 - d**3 - 5 + 10*d + 0*d**3. What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16 = -4*y, 2*y = 3*y + 3. Suppose v*t - 8615 = 16021. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, i: 3}. What is prob of sequence iiv?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -252882*m**2. Let l(u) = -71*u. Determine o(l(q)).\nAnswer: -1274778162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/47838*-34*(-14)\/(-81)?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24582443 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1507511*w**2 + 586*w**3 + 1507511*w**2 + (-4*w**2 + 4*w**2 - 2*w**2)*(4*w - w - 2*w) to k*w**3 + f + r*w + t*w**2 and give k.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9)*h**(-18)\/h assuming h is positive.\nAnswer: h**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5039, -9150, -13261, -17372, -21483?\n\"Answer: -4111*f - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/11560 and 7\/680.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 224*t**3 + 4*t**2 + 38*t**3.\nAnswer: 262*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 340*a**2 + 275*a - 1. What is v(-1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 - 209*d**3\/3 - 1466*d**2\/3 - 2464*d\/3 + 992\/3 = 0. What is d?\nAnswer: -62, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 34 = -2*a. Suppose 0 = 3*g + 3*s - 69, 2*g - s = -2*g + 77. Let k = a - g. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39848 is divided by 12526.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 500, 666, 760, 776, 708, 550, 296?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2048, -4, 2, -3, 1, 8 in decreasing order.\nAnswer: 8, 2, 1, -3, -4, -2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 at most as big as 1202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(11\/2)\/(z\/z**(2\/55))*z**(22\/5)*z\/((z*(z**(-14)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(2633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -170, -175, -180, -185?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46\/5 - 97\/10. What is the second biggest value in 0.03, 0.2, x?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3366125 and 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + (8 - 4) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 - 5*p**2 + 2*p**2)*(-2*p**2 + p - p) + (-4*p + 2*p + 0*p)*(-3*p**3 + 0*p**3 + p**3).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t + 2*t + (-19*t + 26*t + 35*t)*(-3 + 0 + 2) + 21 - 4*t - 21 to the form d*t + w and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) + -1*sqrt(420))\/sqrt(7))\/(sqrt(300)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -163. Let s = 145 - q. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36278847.3*0.3.\nAnswer: 10883654.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*a - 12130 - 12905 - 137*a + 3109.\nAnswer: -375*a - 21926","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.4 - 8. Let l = -1634 + 1637. Which is the third biggest value? (a) l (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 3*l - 7, -4*l + 5*w + 9 = 0. Let b(m) = -4 + l*m + 7 - 2 - 3*m. Let r be b(1). Is 4 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152667983.\nAnswer: 13, 19, 32531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4479854846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -101, -111, -121?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:57 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 127 - 47 = 0. What is the common denominator of -53\/9 and 4 - ((-2577)\/(-330) - s)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4060566 divided by -3.\nAnswer: 1353522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8)*-2)\/(-11). Let p = -79 + 79. Is p < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/45584 and 27\/7?\nAnswer: 45584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 789, 6946, 23699, 56358, 110233, 190634?\n\"Answer: 885*w**3 - 12*w**2 - 2*w - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cizoymzo. What is prob of sequence oym?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/110 + (-6)\/15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 462\/(-8)*(-1698)\/(-180). Let l = 2662\/5 + y. What is the common denominator of -71\/4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4064162251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 64 = -8. Suppose -2*a + 4*q + 15 + 1 = 0, a + 5*q - 29 = 0. What is the greatest common divisor of a and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887510?\nAnswer: 2, 3, 5, 17, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-14) - 6\/(-21). Let k be q*3*(-3)\/9. Let f(r) = -13*r**3 + 2*r**2 - r. What is f(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13011 is divided by 12893?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/((-15)\/3)*7\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -29*c**5\/20 - 5*c**4\/3 + c**2 - 41*c. Find the third derivative of s(a) wrt a.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t - t)*(t - 5*t + 0*t)*(2 - 1 + 1).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/840 + n**6\/80 - 5*n**5\/48 + 3*n**4\/16 - 32*n**2 + 2*n. Factor i(v).\nAnswer: v*(v - 2)*(v - 1)*(v + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7033 - 4?\nAnswer: 7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/24 - (-2235)\/20 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -5)\/(12\/4 - 4). Suppose -19*j + l*j + 10650 = 0. Is 66 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13955 + -13953. What is the nearest to -0.1 in 7\/3, 49, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-14085)\/(-30)*(4 - 24\/9) and 4?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85361.\nAnswer: 85361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*v + 217 - 1967 = -337 + 882 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l = 9924 - 73821. Does 56 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 25 = -18*g. Solve 0*z + 5*i = -2*z + g, 0 = -4*z - i + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**5 - m**4 + m**2 - m - 1. Let b(r) = 2*r**5 - 2*r**3 + r**2 + 2*r. Let c(l) = 4*b(l) + 4*u(l). Factor c(t).\nAnswer: 4*(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let p(l) = 2*l**3 + 11*l**2 + 4*l - 2. Let m be p(-5). Suppose 0 = v + v - 4. Let b(s) = m + v - 5 + 4*s**2. Determine b(i(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14559765 and 53\/330?\nAnswer: 29119530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 + 4097*n - 58*n**2 - 4079*n to the form t + w*n**2 + h*n and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52515853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950 = -31*z + 106*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36603 is divided by 152?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 9)\/(-8)*8. Solve -p*v + j - 2*j = -4, -4*v - 5*j = 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 64884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/19, 0.2 in ascending order.\nAnswer: 1\/19, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 922\/5 + -185. Let q = -8.91 - 0.09. Which is the nearest to q? (a) -5 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -9, -2, -59?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4c3 (base 16) to base 12\nAnswer: -857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.104 + 0.121. What is the second smallest value in m, 2, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 15*h**2 + 16*h - 24. Suppose 0 = 4*s - 0*s - 56. Let v be q(s). Solve 3*a = -a + 2*j - 6, 0 = -3*a - v*j - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*m + 6*m**3 + 73*m - 5*m**3.\nAnswer: m**3 + 157*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -124*s + 122*s + 108, 0 = -3*x - 2*s + 328. What is the remainder when 434 is divided by x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -150729, -301513, -452295, -603075, -753853, -904629?\n\"Answer: v**2 - 150787*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -173, -0.1, -9, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5823471 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16304 (base 8) to base 14.\nAnswer: -2980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 10. Is -2 + 0 + 3 + x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - u + 2*u)*(-26 - 1 - 2)*(-u**2 + 3*u**2 - u**2) to k*u + v*u**2 + c*u**3 + h and give c.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2\/2 - 40715*o + 331542245\/2 = 0. What is o?\nAnswer: 8143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*h + 1, 26*h - 24*h = -3*n + 13. Suppose m = -m + 4. What is the third smallest value in 0.6, -12, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/5*(-60)\/24. Let w = 152 - 584. Find the common denominator of w\/(-330) - o\/5 and -43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 77*i**2 + 7 - 6*i**3 + 2 + 7*i**3 + 2*i to g + q*i**3 + t*i**2 + p*i and give t.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -123. Suppose 7*c - u*c + 4*c = 0. Solve 5*x + 2*m = -c*m - 16, -5*x = -4*m - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*((-5817)\/5)\/1. Suppose 5*n = 1618 + w. List the prime factors of n.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4 - 8. Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**3 + 6*y**2 - 25. Let k(m) = 9*m**3 - 5*m**2 + 24. Let q be (24\/(-20) - 0)*5. Let o(f) = q*k(f) - 5*i(f). Differentiate o(a) wrt a.\nAnswer: -27*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 8:53 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1903\/33 - ((-516)\/(-172) - (2 + 2\/6))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(((j*j**(-1\/13))\/j)\/j*j))**(3\/5)*(j*j**(-2\/3)\/j*j*j*j**0*j)**(-13) assuming j is positive.\nAnswer: j**(-1111\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3312954?\nAnswer: 16564770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 32*f**2. Let s(i) = 11*i**2. Calculate 3*p(b) - 8*s(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpj when three letters picked without replacement from {p: 3, b: 2, j: 12}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83098229.\nAnswer: 19, 230189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3536, 64, -130 in descending order.\nAnswer: 64, -1\/3536, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 + -22. Let m = r + 15.9. Which is the third biggest value? (a) -2\/15 (b) -0.03 (c) 1\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 369624355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**4 + 2*g**3 - 16*g**2. Let z(m) = -m**4 + m**3 + m**2. Let w(d) = h(d) - 2*z(d). What is the third derivative of w(l) wrt l?\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-10.61\nAnswer: -10.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = -11*n - 4*i - 8, -10 = 3*n + 5*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.38808734 to 2 decimal places.\nAnswer: -2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*n**3 - 3929*n - 4*n**4 - 12*n**2 + 3933*n - 5*n**3.\nAnswer: -4*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 185*h + 215*h**3 + 361*h - 291*h wrt h?\nAnswer: 1290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-325)\/(-2)*284\/355 is divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8549*r**2 - 21*r + 70*r - 26*r - 22*r + 8339*r**2.\nAnswer: -210*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1072796 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z - 9. Let y = 7 - z. Suppose y = -5*m + 4*m. Solve 0 = -4*i - 4 - m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.393 * -0.15.\nAnswer: -0.20895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -52 + 64. Let g(a) = -a**3 + a**2 + a - 1. Let i be g(1). Suppose -5*p + 7 - 2 = i. Solve -j = p, -5*j - 2 = d - u*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2496 + 2496 + 11*i)*(-2 + 0 + 1) + 3*i - 3*i - 2*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -2*z**5\/5 + 63*z**4\/2 - 82*z**3 + 61*z**2 - 688. Factor m(s).\nAnswer: -2*s*(s - 61)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine quarters of a day?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((14\/21)\/(2\/(-6)))\/2. Let a be 11 - (c + -3) - -3. What is the highest common factor of a and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -55, -101, -165, -253, -371, -525, -721?\n\"Answer: -n**3 - 27*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 735787.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26784 = -5*k + 4*f, 59*k - 56*k - 16038 = -3*f. What is the smallest common multiple of k and 6690?\nAnswer: 26760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3906)\/83328)\/((-2)\/(-16))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2 + 66*d - 32. Let s be q(-8). What is the greatest common factor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let y = -47 - -47. Suppose y = 2*b + p - 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120974 is divided by 120974?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 143*l - 147*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5586)\/63*24\/(-112).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or 1290\/35831?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 12*y + 6. Let x be b(-1). What is the closest to 0 in x, 2\/3, -3, -3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 656013.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24\/5, -5, 2\/13, -1\/7?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9028 divide 143286837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let p(q) be the first derivative of 6 + 6*q + 0*q**3 + 0*q**2 + 5\/12*q**4. Let l(x) be the first derivative of p(x). What is l(a(z))?\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050)\/sqrt(6) + sqrt(1008)*3)**2.\nAnswer: 11767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*n**2 + 0*n + 5*n - 634*n**2 - 3653 - 76*n**2 wrt n?\nAnswer: -1590*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*f - 5*i = -459, -i = 5*f + 2*i + 2*i - 6*i + 56 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3989*n. Let u(z) = 21*z. Calculate -j(l) + 6*u(l).\nAnswer: -3863*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/168 - a**6\/60 - a**5\/80 + a**4\/24 + a. Find b, given that f(b) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 26 + 54. Let v be (4 - 3)*t - (0 + -203). Round v to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*s - 54*s - 35*s - 50*s - 65*s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akwwkkqddw. Give prob of picking 1 w and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-295)\/2242*3\/(15\/2)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/7)*f)\/f)\/f**(-7)*f\/f**3*f**(-2)\/f)**(-14) assuming f is positive.\nAnswer: f**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 4 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:15 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0577803 years?\nAnswer: 0.0000577803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) -2\/5 (c) -0.2 (d) 9 (e) 3\/4 (f) -2\/11 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -444807.73 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s\/s**(-2)*s)\/s))**(-1\/22)*((s**(1\/2)\/s)\/s)**(-4\/5) assuming s is positive.\nAnswer: s**(147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1454*u**2 + 1 - 1 - 1077*u**2)*(0 + 0 - u) to the form w*u**3 + f + j*u + d*u**2 and give w.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - r**3)*(4 - 2 - 1 - 5*r).\nAnswer: 5*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:08 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*b - 12, 6 = -76*v + 73*v + b. Let g(l) be the first derivative of l**3 - 3\/5*l**5 + 0*l + 0*l**2 + 16 + v*l**4. Solve g(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**2 + 9*k - 8. Determine f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/18 + (-6)\/(-4). Suppose 2*z + 3*f = f + 8, c*z + f = 5. What is the third biggest value in 0.4, z, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2\/5*a - 4\/5*a**2 - 2\/5*a**3 + 4\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -45*s + 113, -96 = -1072*s + 1070*s + 4*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, z: 1, v: 5}. Give prob of picking 2 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-1.895\nAnswer: -0.1137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10075 is divided by 2518.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*d*u**3*x**3 + 3*b**3*u**2*x**2 - b**3 - 14*b*d*u**2*x**3 + 4*b*d*u*x**2 - 24*u**3*x**3 - u**2*x**2 wrt u?\nAnswer: -18*b**3*d*x**3 - 144*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*u = -289*u - 238 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -22.6. Let m = 2.6 + q. Which is smaller: 1.3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748 - 2.2.\nAnswer: -750.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-7) + -5 - 2\/14. Let w = -37843\/38 - -996. What is the common denominator of 204\/(-288) + 6 - (-1)\/n and w?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 p when three letters picked without replacement from pppc.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6364.36 + 6318. What is c rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in nineteen sevenths of a week?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 384272 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3384.99995891 - -3385. What is n rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 34*u + 35. Let s(w) = 11*w + 12. Let y(k) = -6*f(k) + 17*s(k). Let b = 25 + -34. Is y(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -309*r + 1928*r**5 - 1926*r**5 + 18*r + ((2*r - r - 3*r)*(-2 + 6 - 2) + 2 - 2 - 2*r)*(-2*r**4 + 5*r**4 - r**4).\nAnswer: -10*r**5 - 291*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-50))\/((-6)\/15))\/(343712\/18680)\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-24)*(-3)\/(18\/496). Let k = d - -137. Is k smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16921.9 * -3\nAnswer: 50765.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s - 75. Let b(y) = 4. Let j(k) = -3. Let l(f) = -5*b(f) - 7*j(f). Let t(q) = 75*l(q) + w(q). Let x(c) = 2*c**2. Calculate t(x(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-18) - (1500\/(-480) + 5\/40)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*o**4 - h*o**3 - 51*h*o**2 + 4*o**4 - o**2 wrt o.\nAnswer: -48*h*o - 6*h + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (12 - (-5 + (8 - -5))) + -14 + 105\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 11*b**2 - 12*b + 13. Does 13 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -22. Suppose 8 = -4*u - c. Let x be (-4)\/10 - (-184998)\/u. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -660 - -197. Let l = -462.045 - z. Round l to 2 dps.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429723.\nAnswer: 3, 7, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18773 + -13157. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:13 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*m. Suppose -2*u + m*v + 61 = -v, -2*v = 5*u - 143. Suppose -u = -3*o - 2*k, -o + 4*k = 4*o - 41. Which is smaller: o or 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*j = 131*j + 6987 + 34680 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 81346*k + 244302. Determine v(-3).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-189)*3\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eukkubf. What is prob of sequence eu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 14 + 6. Suppose -w*t + 70 = -0*t. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 15*i + 120 = 0. Suppose i*n - 14*n + 12 = 0. Solve n*u = 5*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101243*i**2 - 33502*i**2 - 33456*i**2 - 34284*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)\/(m*m*m**(-10)\/m) assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1921038.\nAnswer: 7684152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -13, -38, -79, -142, -233, -358, -523?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5 - 32*d**4 - 92*d**3 + 288*d**2 - 162*d = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 12\/(-8 + 6) - 2349. Let j = h - -4047. List the prime factors of j.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33 + -8.\nAnswer: -7.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4\/5 (c) 3 (d) -27 (e) -56 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -2120042?\nAnswer: -2120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*q - 2*a = 9, -a + 18 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.588 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose -21 - 4 = -5*z, r*u + 4*z - 640 = 0. Suppose 0 = -l + 5*c + 58 + 42, -2*l + c + u = 0. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 5. Let u(c) = c**2 - 6*c. Let v be u(7). Let b be q(v). Put -2, -4, b in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6173, -12227, -18281, -24335?\n\"Answer: -6054*w - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + sqrt(275) + -1))**2.\nAnswer: 1000*sqrt(11) + 7275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40230231 (base 5) to base 3.\nAnswer: 121021220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, 1, 36, -2 in descending order.\nAnswer: 36, 2, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1548 - 1543. Solve 3*s - 8 = 4*m + i*s, 0 = -4*s - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11085028, 11085029, 11085030, 11085031, 11085032?\n\"Answer: a + 11085027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.0503 - -0.0403. Let g = 0.01 + k. Sort 0.2, g, 1.\nAnswer: g, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-2) - (-43)\/(774\/36). Solve a + s = 2*q, 13 = 5*a + 5*q - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05, 2, 0.4, 4\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.287997ml to litres.\nAnswer: 0.000287997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 917919974 to the power of 1\/2, to the nearest integer?\nAnswer: 30297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2270291, -2270282, -2270273?\nAnswer: -2270264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/90 + d**5\/40 + 2*d**3\/3 - 6. Let m(k) be the third derivative of o(k). What is the second derivative of m(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t**3 - 2\/5*t**5 + 7*t + 1 + 0*t**2 + 0*t**4. Differentiate a(f) wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118668 is divided by 751?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**2 + 721*f**3 - 745*f**3 - 191*f**2 wrt f.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 84 + 36 = -44 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 - (6 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/5)*(j**(-2\/5)\/j)\/j assuming j is positive.\nAnswer: j**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261105 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 0*p - 4*p**2 + 1\/30*p**5. Let o(u) = 7*u. Calculate w(o(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**4 + 0 + 0)*((4 - 3 + 1)*(-1 + 0 + 2) + (0 - 2 + 3)*(5 + 33 + 1)) in the form v*d**2 + f*d + x + b*d**3 + q*d**4 and give q.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -5442?\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(840\/(-210))\/((-8)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 13)\/(-1 + 2). Suppose -3*y + 2*s - o = -s, 5 = -y + 2*s. Sort -3, 1, y in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0, 365, 3, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*c - 34741 = -4676 + 9247 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 4. Let x(p) = -6*p + 12. Let n be (-68)\/(-6) + ((-12)\/9 - -1). Calculate n*u(c) + 4*x(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.2 + -81.62. Let d = f - -11.42. Let r = 2 - 4. What is the second smallest value in -0.1, d, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((-6 - -12) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23*z**2 + 381*z + 5. Let g(j) = -34*j**2 + 568*j + 7. Determine -7*d(p) + 5*g(p).\nAnswer: -9*p**2 + 173*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347 + -16313\/47. Is f smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.2*87.\nAnswer: 4976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54021 + 89818. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 9, 2\/7 in decreasing order.\nAnswer: 9, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j + 9115 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 10}. What is prob of picking 2 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 160 - 172 = 0, 3*w = -3*z + 3. Solve -5*p + 3*p + i - z = 0, 5*p = -4*i + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, x: 7, e: 3}. Give prob of picking 1 x and 2 e.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 516468b + -2?\nAnswer: 5164689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8287431 is divided by 1985?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3332 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 95 + 5 - -19) + 3 + 6\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 90 = 21*a. Calculate the lowest common multiple of a and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 (base 10) in base 4?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7608 - 685.7608. What is the nearest to j in -4, 5, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-20))\/(3\/10). Let q = i - -8. Let n be 12\/7 + q\/14. Solve 0 = -0*l + n*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 2*x + 59 = 4*x + 122 + 23, 4*d - 3*x + 39 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:06 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(147)*2 + sqrt(147)) + (sqrt(147) - ((1 + sqrt(147) + sqrt(147) - sqrt(147)) + 1)) + 0)*2*2.\nAnswer: -84*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3150 + 1835 = -202*n + 5537 + 3652 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Let g be j(4). Suppose 3*t - r - 29 = t, -14 = -2*t - 4*r. Let v = t + -3. Calculate the greatest common factor of g and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344342793 a multiple of 5447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1469 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17699.5 - -17699. Let a = 8 - 5. Sort 1\/3, a, k, -0.4 in decreasing order.\nAnswer: a, 1\/3, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from zfffzqfzwzpff?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493677221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(83\/166). Let n be -10 + (1 - 2)\/((-3)\/3). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -5791, -2 in increasing order.\nAnswer: -5791, -36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * 1668.87\nAnswer: 1018.0107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 89453.08 decades?\nAnswer: 894.5308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**5\/(u**5\/u**0) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 404159\/6165 + -590\/9. Which is the third smallest value? (a) 6 (b) i (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.105145 - -0.104. Round p to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgx when three letters picked without replacement from {n: 2, l: 1, m: 2, x: 4, g: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3366264 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44180 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-12) - (-5 - 42\/(-12)). Put 3\/2, x, -1, 3\/20 in ascending order.\nAnswer: -1, x, 3\/20, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 4584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 7*w**2 - 3*w + 4. Let q be l(-4). Let m be q - 5\/(-45)*2. Which is the second smallest value? (a) -3 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -1049.036385316?\nAnswer: -1048.336385316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 19*y + 53. Let j be s(-8). Let d = -84 - j. Suppose 16 - 1 = 3*o. What is the highest common divisor of d and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from {s: 11, x: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36409 = 13*r - 79993. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2429594 - -0.092\nAnswer: -2429593.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + -4.07. Which is the second smallest value? (a) p (b) 6\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/(3 - 5). Suppose 221*h + 12 = 227*h. Solve 3*l - h - 7 = g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + -9 + 28 - 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/42)\/(6\/2 - 4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -1556?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/2520 + j**6\/288 - 7*j**5\/720 + j**4\/96 + 41*j**2. Factor s(x).\nAnswer: -x*(x - 3)*(x - 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14626.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0047 + -0.1847. Let p = 1.02 - q. What is the closest to 1 in 2, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.583 + 21.783. Sort 1.7, -94, x.\nAnswer: -94, x, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/137 - 3882\/959. Let i = 86921\/4516 - -3\/1129. Let u = 155\/12 - i. Find the common denominator of u and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -153 (c) -0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 770, -2, 29, -5, -25 in ascending order.\nAnswer: -25, -5, -2, 4, 29, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411415 and 66134?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*(-2)\/((-64)\/80).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9535, -9685, -9795, -9853, -9847?\nAnswer: -9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.776 - 9.77600906. Round o to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0 (c) 2\/15 (d) -4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 f when three letters picked without replacement from {e: 4, v: 2, m: 4, f: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 27) + -5 - -25.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 - -219. Let j = -46 + x. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/(u\/(u**(-18)\/u)) assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/156946 or 1?\nAnswer: 1\/156946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -6 + (1 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1107*u + u**4 - 5*u**3 + 5*u**3 + 575*u + 763*u to the form h*u + c + b*u**2 + d*u**3 + v*u**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eimllli. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -393\/4 or -98?\nAnswer: -393\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -8\/3 (c) -0.4 (d) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + x - 16. Let q be o(-5). Suppose q*j - 4 = -2*t, 5*t - 10 = j - 2*j. Solve 3 = -z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 2. Let m(y) = -2*y**5 - 6*y**3 - 19*y**2 - 2*y + 8. Let f(p) = m(p) - 6*n(p). Find the second derivative of f(s) wrt s.\nAnswer: -40*s**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156828 or 156862?\nAnswer: 156828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(125) + 1)*-1)**2 + 5).\nAnswer: 10*sqrt(5) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -15. Let g(p) = 15*p + 2. Calculate the remainder when g(z) is divided by 8\/28 - (-122)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**(-6\/7)*i))*i**48)\/(i**(7\/2)*i)**(3\/43) assuming i is positive.\nAnswer: i**(28191\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - (-24)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 + n**5\/10 + n**3\/6 - 3*n**2. Suppose 11 = -6*k - 25. What is a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = 0, 3*u = t - 0 - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 50 = 10*x - 7*x, 3*x + 8*b - 5*b = 45 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - t + 1.\nAnswer: (t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29*u + 12. Let b(g) = 88*g - 38. Let j(n) = -3*b(n) - 8*t(n). Find the first derivative of j(a) wrt a.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 28*h**2 + 61*h - 31. Is 7 a factor of w(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/210*r**6 - 1\/588*r**8 - 4\/735*r**7 + 0*r**3 + 0*r - 4*r**2 + 0 + 0*r**4 + 0*r**5. Suppose g(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*q + 148*q + 141 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnynlynnyoffy. What is prob of picking 2 n and 2 y?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170018*l**2 - 5*l**3 - 254 + 170018*l**2 - 16*l**3.\nAnswer: -21*l**3 - 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25145 + -15339. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40309671?\nAnswer: 3, 79, 283, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3 + 4 + 0 - 3 + (3 + 0 - 5)*(0 + 1 + 1))*((3*l - 3*l - l)*(-2 + 2 - 2) - 42*l + 61*l - 45*l)*(3*l**2 + 6*l**2 - l**2).\nAnswer: 192*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4*m - 4. What is the remainder when l(7) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 2*v + 10*m - 681, -6*v = 3*m - 2097. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, 0, -3 in ascending order.\nAnswer: -179, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(2*2\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-3\/5)\/a*a)\/a)\/(a*a**(-2\/17))*(a*a**(-5\/7))\/(a*a**(3\/17)) assuming a is positive.\nAnswer: a**(-817\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 51 = -31. Suppose -10*d + 37 = 27. Solve -m = -q + d, -p*q - q = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23275948691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**3 + v**2 + 220*v.\nAnswer: 66*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6151287 divided by 40737\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 20450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25436129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4836417cm?\nAnswer: 4.836417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2900*c - 160 = -2932*c. Solve 51*o + 10 = 53*o + 5*p, -o + c = -4*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 19. Let l(v) = -v**3 + 7*v**2 + 21*v + 74. Let j be l(10). Determine q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 92. Let j be (z\/(-422))\/(12\/(-44938)). Let c = j + -18\/211. Calculate the common denominator of c and -1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 - -525. Calculate the remainder when 649 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oywozxxowx. What is prob of picking 2 w, 1 o, and 1 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + (-120)\/(-18). Suppose 0 = -p*b + 4*b. Let k be (-76)\/(-18) - (-6)\/(-27). Solve b*t = t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44613587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3264*a**2 + 4 + a**3 - 1733*a**2 + 2 - 1675*a**2 - 6.\nAnswer: a**3 - 144*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = 4*y - z, 3*y + 2*z = -1. Let m be 10*(y\/1)\/6. Suppose -4*d - 3*c + 18 = -m*c, -2*c - 2 = 4*d. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:46 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1115174062*v**2 - 498362049*v?\nAnswer: 2230348124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -4, 0.04 in descending order.\nAnswer: 0.09, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15500 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702858949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 8 = 6*o. Suppose c = -0*c - 4*l + 16116, -o*c - 3*l + 64412 = 0. Round c to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 - -656 - (-97 - -1).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(12)\/sqrt(4)))\/sqrt(384) + (sqrt(3) + ((sqrt(66)\/sqrt(2))\/sqrt(11))**2 - (sqrt(3) - 2*sqrt(192))) + -4.\nAnswer: -1 + 129*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 48360410.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*t + t - 5, -2*t = -2*o - 10. Let g = 12 + -8. Solve -g + t = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) - 9196\/(-3). Suppose -t - 4079 = -4*b, -3*b + n = t - 4*t. Suppose x = b + 1011. What is x rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -3*r, -3*b + 728155*r - 728154*r = 44 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + 1 + sqrt(3) + -5)*2 + 5*(3 + (sqrt(6912)*2)**2 + sqrt(6912)).\nAnswer: 242*sqrt(3) + 138245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**2. Let c(g) = 4*g**2 - 2*g**2 - 3*g**2. Calculate s(c(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:23 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/5))*a*a**1)\/(a**2)**48 assuming a is positive.\nAnswer: a**(-472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiiiiiiiiiiiiiiihh. What is prob of sequence hih?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 512 divided by -15\nAnswer: -512\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*x**2 - x + x - x + 3*x + 132*x**2 in the form n*x**2 + u*x + w and give n.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, g: 2}. Give prob of sequence ggu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(192) - (-1*sqrt(3)*-4)**2)*-3 - (((-1*sqrt(324))\/sqrt(9))\/(sqrt(48)\/(sqrt(4) - sqrt(16))))**2.\nAnswer: -3*sqrt(3)\/4 + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssscsrrsscsssuwsrus. What is prob of sequence sru?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88994982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1303658 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - (6 + -16 - -8)) + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:23 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.27571 seconds to hours.\nAnswer: 0.111465475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -64873724 divided by 4\nAnswer: -16218431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, a: 9}. What is prob of picking 3 a and 1 b?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/119824 and -5\/59912.\nAnswer: 119824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 6 + 3*c - 11.\nAnswer: -4*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*v**5 + 76\/11*v**4 + 928\/11*v + 1424\/11*v**2 + 570\/11*v**3 + 0 = 0.\nAnswer: -29, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t. Let b(f) = -51*f + 327959. Calculate b(x(q)).\nAnswer: -510*q + 327959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(230\/(-25))*-35*(-4)\/21?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -4 (c) -1\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -228940836+-0.2\nAnswer: -228940836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**2 + 10*o + 5. Let k(u) = 2*u**2 - 2*u - 1. Let a(s) = -5*k(s) - y(s). Let h(f) = -f - 52. Give a(h(j)).\nAnswer: -j**2 - 104*j - 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f + 8*f - 7*f)*(-f + 3*f + 0*f).\nAnswer: 2*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 414*k**4 - 3*k**3 + 2*k**3 + 364*k**4 to the form r*k + y*k**4 + p*k**2 + s + t*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let q = 0.454 - -6.546. Let i = 6.92 - q. Which is the closest to i? (a) -3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33e6 - 2?\nAnswer: 33e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/18 + ((-30)\/70)\/((-27)\/42).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttssscsts.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078524105 rounded to 7 dps?\nAnswer: -0.0000785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 525566976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = 4*n - 31, -29 = -2*n + 3*v. Calculate the least common multiple of n and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1022.8507 - 0.1493. Let r = o + 1022.999569. What is r rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * 320.2\nAnswer: -92.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128937718 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(180) - -2*sqrt(180)) + -5 - (sqrt(180)*1 + -3) - 4*(sqrt(180)*-1 - sqrt(180))*4*-4))**2.\nAnswer: 9072*sqrt(5) + 2857716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772 + -775 + -14 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3377, -6756, -10133, -13508, -16881?\n\"Answer: k**2 - 3382*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x**16\/x*(x\/x**(-3))**13)**(-8) assuming x is positive.\nAnswer: x**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*20726\/241?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.31 - -0.31. Let y = 79 + p. Let v = 44.95 - y. What is v rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/1404361 and -9\/489118874.\nAnswer: 3423832118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247.5 + 250.5. Which is the nearest to -2\/11? (a) -11 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/54 and -91\/144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23073283 + -15?\nAnswer: 23073269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72992, 73302, 73818, 74540, 75468, 76602?\nAnswer: 77942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, 85, 289, 493, 697?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3467.3 - 3467. Let r = -3 + 7. Let v = -7 + r. Which is the nearest to 0.1? (a) v (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 768527*0.3\nAnswer: 230558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {m: 3, q: 5, u: 2, w: 7}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:21 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*y - 3*a + 56, 0 = -3*y + 5*a - 42. Let h(s) = s**3 + 15*s**2 + 5*s - 1. Is 25 a factor of h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b (base 12) in base 11?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 45aa95b?\nAnswer: -45aa961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -64, 11, -2\/3, 2 in decreasing order.\nAnswer: 11, 2, 1\/4, -2\/3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210 - -211?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297396087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:17 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1393)\/28)\/(3\/(-36)). Let i(l) = -y*l + 3 + 595*l + 43. What is the units digit of i(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 1. Let f(t) = 7*t**3 - 3*t**2 + 1. What is f(j) - 3*u(j)?\nAnswer: 7*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47 + -99 + -6 + (-11 - -38)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and -1626 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 7*u**2 - 6*u. Let s be z(4). Let l be ((-3)\/s)\/(5\/4). Sort -12, -5\/3, l in decreasing order.\nAnswer: l, -5\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + -2 + -2 + 13 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.727 + 414.3?\nAnswer: 411.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - -101001101010010?\nAnswer: 101001101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l - l + 174*l**2 - 164*l**2 - l**4 - 6*l - 12*l**3 wrt l?\nAnswer: -24*l - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12*m - 12 = 0. Suppose -3*n - m*n - 25 = 0. Sort n, -11, -2, 5 in decreasing order.\nAnswer: 5, -2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 5*x + 3*x)*(-1 - x + 1)*(-2 + 5 - 5)*(2 - 2 - 4)*(-1 + 3 + 2)*(-3*x + 1 - 1) in the form j + g*x**3 + b*x**2 + i*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/18*o**3 - 1\/30*o**5 + 1\/24*o**4 - 1\/112*o**8 - 23*o**2 + 0 + 1\/30*o**7 - 1\/36*o**6 + 0*o. Determine g so that l(g) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1*sqrt(5) + sqrt(5) + -4 + sqrt(45)\/(sqrt(27)\/sqrt(3)).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 33*n + 10*n + 11*n + 10*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - -8 - 1) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttltlwywtwtwlt. What is prob of picking 1 y and 1 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 17*h - 143 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q**3 - 13*q**2 + 8*q - 9. Let s(g) = 10*g**3 - 5*g**2 + 4*g - 5. Determine 7*s(p) - 4*t(p).\nAnswer: -2*p**3 + 17*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (658\/3 + 0)*7623\/726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0452 + -3.9548. What is the fourth biggest value in -5, 8, z, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 159 = -4*s + 342, 3*b - 111 = -2*s. Solve -b*a = -38*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/((-23954)\/(-9164)) + -18 + -7 + 5?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 1196?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -41*j. Let n be q(-2). Suppose -175 = 8*t - 9*t. Let b = 216 - t. Calculate the highest common divisor of n and b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 135854*w - 1222603. Calculate n(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -112 + 9 + 43\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/128*(-37 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t + 3*x = 23, 2*x = t - 2. Let i = t - 6. Let r be 100\/12 + i\/6. What is the highest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-4521)\/(-21). Let g = 305 - j. Suppose h = 305 + g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*n - 1512*n - 11 - 20 + 92 - 17.\nAnswer: -1334*n + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34007 (base 14) to base 11.\nAnswer: 86926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 558, 836, 1114, 1392, 1670?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -6. Suppose o + 10 = 5*v, 0 = -o - 2*v - 4 + 8. Find the first derivative of -18*l + 10*l + a + o*l wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280645.7*178.\nAnswer: -49954934.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9431895529*d + 9431895529*d + 6*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/22)\/(7\/((-35)\/(-5)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 2. Let n = l - -3. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 (base 13) in base 4?\nAnswer: -32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i + 10 = 0. Let o(r) = -r**3 + 1. Let s(j) = -2*j**3 - 2. Calculate i*o(d) - s(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127209 * 201.\nAnswer: -25569009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t. Let s(k) be the second derivative of -k**6\/360 - k**4\/3 - 3*k. Let g(n) be the third derivative of s(n). Determine m(g(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60413473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(23220\/(-792)))\/(2\/15)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h. Let g(a) = -a**3 + 14*a**2 - 12*a - 6. Let j be g(13). Let w(s) = 4*s - 3*s + 4*s - j*s. Give l(w(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -50. Suppose j*t + 0*t - 20 = 0. Let h = -129 - -134. What is the highest common factor of h and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 244. Suppose -5*r + 56 = -n. What is the smallest common multiple of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/47040 - q**7\/2352 - q**6\/280 - 3*q**5\/10 - 28*q**2. Let y(j) be the third derivative of r(j). Solve y(l) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 711, 691, 669, 645, 619?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 75 = 5*x, 2*d - 9*x + 12*x - 50 = 0. Solve -29 = -d*b - 79 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 2, w: 2, j: 14}. Give prob of picking 1 t and 1 f.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 40.89334 years?\nAnswer: 490.72008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**3\/9 + 13*q**2\/3 - 20*q - 688. Factor m(k).\nAnswer: -2*(k - 10)*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 183066 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44769 - -93386. Let p = x + -9237109\/190. Let h = p + -14\/19. What is the second smallest value in 1\/4, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4 - 6 - u - u + 8. Let r be (4 + -5)*(-1 - -1). Suppose r = 4*y + 2*y - 30. Calculate z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002842 to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v - 20. Let j(i) = -i + 4. Let d(k) = -5*j(k) - p(k). Let t(x) = -127*x**2. Give d(t(f)).\nAnswer: 381*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 17*a**4\/12 - 15*a. Let b(o) = -o. Give n(b(d)).\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91920290.\nAnswer: 2, 5, 7, 11, 19, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9\/u)**50)**(2\/23) assuming u is positive.\nAnswer: u**(800\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:55 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -514*y**7\/7 - 451*y**3\/3 - 603. Find the third derivative of h(a) wrt a.\nAnswer: -61680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 7}. Give prob of picking 4 c.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + (sqrt(720) - sqrt(720)*2 - sqrt(720)))*-4 + -5 + sqrt(720) + 0 + sqrt(720) + -2*sqrt(720)*-2 + sqrt(720))**2.\nAnswer: -3240*sqrt(5) + 162081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 860 and 35104340?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 428, 857, 1286, 1715, 2144, 2573?\n\"Answer: 429*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hggg when four letters picked without replacement from {e: 10, h: 2, s: 1, p: 1, g: 3}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1835991*j**3 + 4*j**2 + 31860150*j?\nAnswer: 11015946*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1442669402 to four dps.\nAnswer: -0.1443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 + r**4\/4 + 8*r**3\/3 - 6*r**2 + 7*r. Let w be m(5). Calculate the greatest common divisor of w and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5770228, -11540455, -17310680, -23080903?\nAnswer: -28851124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/108 - 585\/(-180).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 2*r**2 - 1 - 3 + 3. Let o(q) = -q - 8. Let h be o(-6). Does 9 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28521 - 27801. Calculate the smallest common multiple of n and 4.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -95. Let x = 20.1 + -19.9. Sort 3, 1\/25, h, x in decreasing order.\nAnswer: 3, x, 1\/25, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50.93 and 5.81?\nAnswer: 295.9033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/6 - 3*d - 2. Let u(q) be the first derivative of s(q). Let y(x) = x**2. Determine u(y(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(19) + -5*(sqrt(19) - sqrt(38)\/sqrt(2)))**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 4 - 6) + 3*2. Let r(q) be the second derivative of -1\/3*q**4 + 1\/6*q**3 - 2*q**2 + 0 + q + 1\/20*q**5. Determine r(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 520827*n*s**2 + n*s - 447829687*n + 2*s**2 wrt s?\nAnswer: 1041654*n*s + n + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 - v - 2. Let d be o(-2). Suppose f - 15 = -d*f. Put f, 5, 4 in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 + 1078 = 7*r. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13035)\/10428*(-2)\/(-4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 37651?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 69609*d**2 - 1 + 0 - 69627*d**2 + 139192*d**2 + 2*d.\nAnswer: -44*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*q + 8, y + q - 157 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 2*m**7\/105 - 8*m**6\/15 + 92*m**5\/15 - 112*m**4\/3 + 128*m**3 - 206*m**2 + 2*m. Factor g(y).\nAnswer: 4*(y - 6)*(y - 4)**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w - w)*(0*w - 2*w + 3*w) - 2*w**2 - 2*w**2 + 2*w**2 - w - w**2 + w + 370*w**2 - 905*w**2 + 1328*w**2.\nAnswer: 791*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 52 + 22 + 4 + 1\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - g + 1 = 0, 2*n = n - g + 7. Suppose -3 + 28 = 5*b. Find the third derivative of 13*p**2 - 3*p**5 - 18*p**n - 5*p**b wrt p.\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2984, -2988, -2994, -3002, -3012, -3024, -3038?\n\"Answer: -q**2 - q - 2982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 5*h**3\/6 - h. Let a(d) be the third derivative of d**5\/20 + 2*d**2 - 131*d. Determine a(m(w)).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3184 in 163, 1, 1\/5?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243192.\nAnswer: 2, 3, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:51 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036095138159 to five decimal places.\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 541 = 5*b, -3*n = -2*b - n + 210. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + -12 + (7 - (15 + -21) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -1229a6?\nAnswer: -122a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1966.995314 + -1967. What is u rounded to four dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 142 - 131 = 5*s, 4*w = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 7*d**6\/120 - d**4\/4 + 6*d**2. Find the second derivative of x(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -2, 5, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -81817?\nAnswer: -5\/81817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2821599465 to the nearest integer?\nAnswer: 53119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*g + 8, -9*g + 11 = -4*g + r. Suppose 4*w = 4*o, o + g*o = 0. Suppose -4\/3*v**4 - 4\/3*v**2 + w + 2*v**3 + 1\/3*v**5 + 1\/3*v = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-3 - 1)\/1. Put -4, 0, 4, o in descending order.\nAnswer: 4, o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**9)\/q*q**(3\/4)*(q**(-2)*q)**(-21) assuming q is positive.\nAnswer: q**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 77.1. What is the closest to o in 0, 1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6 - -3)*(2 - 2). Which is the smallest value? (a) -2\/9 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 10. Let t(v) = v - 4. Let w be t(4). Let z be d(w). Let y be 18\/z - (-2 + 3). Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56836 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4526610281 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111599 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: Suppose -20*c = -17*c. Suppose -6*z + 7*z - 2 = c. Suppose 0 = 4*s - w - 21, z*w - 4 = -6. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -400, -594, -784, -970?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/7 + 586210*l**2\/7 + 42954391184*l\/7 - 128868449496\/7 = 0?\nAnswer: -146554, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27091316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*s**3 + 2*m*s**2*w - 1412*m*s + 2*m*w + 13*s**3*w + 252*s**2 wrt m.\nAnswer: s**3 + 2*s**2*w - 1412*s + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*h + 9 = 0, b = -0*b + 3*h + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106744.\nAnswer: 2, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 4*u + 3. Let o be x(2). Solve 0 = 4*p + o*k - 11, 4*k - 3 - 16 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3) + -4 + 324\/9. Let b(t) = 3*t**2 + 2*t - 4. Let h be b(-3). Let s = u - h. Solve -s = -4*d, 2*k - 25 = -3*k - 5*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43.71628 times -0.5\nAnswer: -21.85814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 501 + -946. Let r = h + 1244. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 10 = -2*r. Let c = 99 - 43. What is the greatest common divisor of r and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -15877.\nAnswer: -62\/15877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 8920713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155 to the power of 1\/3, 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 157221.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s + 40. What is the units digit of 4\/(-16) - s\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.12 - 0.12. What is the biggest value in -0.2, 1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/4 - 1)*41. Let h = 43 + f. Suppose -14 = -3*x - 2. Solve 2*o + h = x*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2\/79, -4, 24\/11, -0.1, 63\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4964\/3 - -1680. What is the common denominator of 109\/6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1 + 5 + 5. Let j be a(6). Suppose -j*n + 2 = -14*n. Solve n*f - 4 = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((-33)\/1100*45)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 3*l**2 - 4*l - 1. Let d be a(-3). Let g be 32\/14 + 20\/d. Suppose -7*m - 5*r = -2*m, 0 = -m - g*r + 2. Let p(q) = -2*q + 2. Determine p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163048682, -163048666, -163048630, -163048568, -163048474, -163048342, -163048166, -163047940?\nAnswer: -163047658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8531 + -0.1469. What is the nearest to y in -3, -0.4, 32, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 - 11*g - 16. List the prime factors of a(-6).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259ae (base 16) to base 4\nAnswer: -211212232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 7 = 4*v - u, 13 = -2*v + 5*u. Is v at most -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 5359464.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 21?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775077 a multiple of 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s + 16*s - 13*s - 6. Let v(f) = 5*f + 6. Let u(p) = -5*v(p) - 4*x(p). Let c(q) = 4*q + 5. Give 3*c(m) + 2*u(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 750*a**4 + 15*a**2*p**2 + 84*a*p**2 + 2*a*p + 2*a + 8 wrt a.\nAnswer: 9000*a**2 + 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49310 is divided by 986.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24107, -4, 438, 0 in ascending order.\nAnswer: -24107, -4, -3, 0, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17817 is divided by 1042?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 50 - 66 + 16.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2. Let m(a) = a - 6. Let h = -18 + 27. Let b be m(h). Let q(i) = b*i**2 - 4*i**2 - 2*i**2. Determine j(q(y)).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 not equal to 23010\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4274477654.\nAnswer: 2, 17, 2383, 52757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 39 = -5*z, 2*z = -3*b + 3*z + 15. Find the third derivative of -62*p**2 - 18*p**2 - 26*p**2 - 6*p**b + 24*p**2 wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -21. Let n = -15 + r. Solve 12 = c + 4*d, 0*d + n = 4*c - 2*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -601 - -5?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 44. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47452, -2\/121, -1\/2?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:08 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4192916.29 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4661*a - 156651 = -3578*a - 103056 + 243009 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 6. Let x be j(-3). Let k be (x\/18)\/(1\/(-8)). Factor 0 - k*d**2 - 4\/3*d - 5\/3*d**3 - 1\/3*d**4.\nAnswer: -d*(d + 1)*(d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/480)\/((-3)\/30)*(-141)\/6862?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1512 or 1486?\nAnswer: 1512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*m**3 - 2*i**3*m**2 - 21*i**3 + 958*i*m**3 - 272*i*m wrt m.\nAnswer: 12*i**3*m - 4*i**3 + 5748*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 22*d**2 + 92*d - 402. Let s be y(5). What is the greatest common divisor of s and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 - v - 7. Let d be o(-6). Suppose 4*b + 0*c + c - 3 = 0, -5*b = -5*c - d. Suppose -b = n - 11. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*h = 92*h - 127*h + 24444 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*p + 385*p + 209 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/((-54)\/28)*-9 + -1. Suppose 47 - d = 2*o. Suppose 2*b = 7*b - 3*w - 10, 5*b + w = 30. Calculate the smallest common multiple of b and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-330)\/15246)\/(2\/(-7)) and 79\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239\/20 + 56\/5. Let r(n) = 4*n + 5. Let s be r(-4). Which is the smallest value? (a) v (b) -3 (c) 0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(x - x - x)*(660 - 1978 + 3812*x**2 + 663 + 654) as o*x + g + l*x**2 + s*x**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*o + 4 = 2*r, 3*r = -5*o + 16 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffufu. What is prob of sequence ffuf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/853960 and -79\/341584.\nAnswer: 1707920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(931) + 5).\nAnswer: 10 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2778159*-4.\nAnswer: 1.1112636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 38*n - 4*n. Which is the fourth biggest value? (a) 3 (b) 20 (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + 2 - -7 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 19. Let g = 2 - 2.5. What is the nearest to l in 4, g, 5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from {n: 14, z: 5}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9027 - 9009) + (0 - (0 - 5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from fsfskksfffssss?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 17*k**5 + 17 + (0*k - k**2 + 0*k)*(-k**3 - 3*k**3 + 6*k**3) + 3*k**5 + 517 - 6*k**5 + 592 - 46.\nAnswer: -22*k**5 + 1063","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -18. Factor -c*k**3 - 12 + 45*k + 5*k**3 - 17*k**2 - 4*k**2 - 15.\nAnswer: 3*(k - 3)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/900 + i**5\/50 + 3*i**4\/20 + 2*i**3\/3 + i**2. Let r(f) be the first derivative of a(f). Let r(g) = 0. What is g?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94e0e8 (base 16) to base 11.\nAnswer: 5564563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 6*h**2 + 6*h - 5. Let f be j(-6). What is the hundreds digit of (3 - 2) + -4 + f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101423044 - 122?\nAnswer: 101422422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95325 not equal to 95324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -114592661 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367361 is divided by 2783.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 4*i, 0 = 4*i - 15 - 1. Let d = k - 4. Suppose 5 + 16 = d*f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3012106 and 15914.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**2 - 2*f - 22*f**2 - 14*f**2 - 8*f**2 as z + t*f + y*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.051\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2139335*o**3 - 1839161 wrt o?\nAnswer: -6418005*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230571442317 minus -83?\nAnswer: 2230571442400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 2) to base 10\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23169.\nAnswer: 3, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 5*s**2 - 2*s - 4. Let a be r(6). Suppose -3*k + 2*u + 1480 = 0, 1478 = 3*k + 19*u - a*u. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3010, -7860, -12710, -17560, -22410?\nAnswer: -27260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -118908 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -525454 (base 6) to base 10\nAnswer: -42730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4611, -1700, -8011?\nAnswer: -14322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 60, 71?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660 at most 3662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5884 and 3814.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -145*3*(-1404)\/1872*(-8)\/45\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -21 (c) -17 (d) 2\/17 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*o + 60. What is the remainder when 104 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-16))\/(-1 + (-6)\/(-4)). What is the closest to -0.06 in -0.5, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370010 is divided by 3596.\nAnswer: 3218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 735140 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -2*f**3\/3 + 2*f**2 - 3*f. Let q(h) = h - 1. Calculate -n(t) - 2*q(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -11631 less than -11309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020327 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/309873 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1048 (b) 0.2 (c) 40\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 5. Let f(q) = 4*q - 17. Let n be f(6). Let p be v(n). Suppose -l - p - 1 = -3*j, -5*j = -5*l - 15. Solve 6*x - 5*x = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -889 + 2668\/3. What is the third biggest value in 8, -0.5, g, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/15)\/((4 - 2)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (4 - (-7)\/(-7)). Solve 4*k - 18 = -2*p, 0 = -c*k + p + 17 - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -537, -1071, -1605?\n\"Answer: -534*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10407935, 20815864, 31223789, 41631710, 52039627?\n\"Answer: -2*p**2 + 10407935*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2405 and -36\/20017.\nAnswer: 1301105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(36)\/sqrt(3)) - sqrt(351)\/(sqrt(18)\/sqrt(2)))\/((sqrt(75) + (sqrt(75) - sqrt(75)*1))*-2 + sqrt(75))*3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2, q: 11}. What is prob of picking 1 w and 1 q?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386633.7ug to kilograms.\nAnswer: 0.0003866337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/3 + 18 + -28. Let q = 3 - 6. Let p(x) = -x**2 + 8*x + 13. Let z be p(9). What is the biggest value in y, 2\/5, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -3\/4 (c) 4 (d) -2.07 (e) 181\/7 (f) 2\/5 (g) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.629 - 2\nAnswer: -6.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4612882 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -5 + (3 - 3). Let p(d) = 2*d - 5. Let b(i) be the third derivative of -i**4\/24 + i**3\/6 - i**2. Let h = 12 - 13. Determine h*p(z) + j*b(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*z + 6 = -17, c = -2*z + 1. Suppose 3*a + 5*d = -8, -4*d + 2*d = c*a - 12. Suppose a*f - 227 = 177. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*g + 15*g - 7*g)*(2*g + 4*g - 4*g) to the form u + w*g + n*g**2 and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 4\/7 (b) -8 (c) -2 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y = -2*f - 36*y + 58316, 0 = -f - 4*y + 29128. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4138 = -59*r + 2879, 3*k + 59 + 13 = -4*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -6, 3\/2, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -8. Let f be (2 + -1)*d\/(-1). Let j(u) = 3*u**f - u**2 - u**2. Let z(c) = -2*c**2. Determine j(z(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - o = 79 - 70, 2*v - 5*o = 45 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245680?\nAnswer: 2, 3, 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/((-10)\/15). Let b be z - ((-18)\/3 - -3). What is the units digit of 2 + -2 + -3 + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -562, -2, -1, -5 in decreasing order.\nAnswer: -1, -2, -5, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9126 - 1?\nAnswer: 9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/33 and 109\/12828.\nAnswer: 141108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 2, r: 3, w: 5, j: 5}. What is prob of sequence whj?\nAnswer: 25\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11620 (base 11) to base 9\nAnswer: 24837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3218274 litres?\nAnswer: 321.8274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2649.2 + -5?\nAnswer: -2654.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 27*m + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.2 or -47?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(76) - 1*(sqrt(76) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53693983 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*(d*d*d**(-2\/13)*d*d*d)\/d)\/d)**24)**(-48))**(-11) assuming d is positive.\nAnswer: d**(633600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -23*l + 10. Calculate s(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*z + z - 3*z + (3*z - 4*z - z)*(2 - 7 + 3) - 4*z + z + z + 34*z + 30*z - 91*z to the form k + l*z and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 39*m - 17. Let g be n(7). Suppose 4*h - g*q - 5044 = 0, 2*q + 1612 = h + 352. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose -9*m + 11*m - a = 0. Suppose 5*c = -5*u + 25, -c + 19 = 4*u + m*c. What is the lowest common multiple of u and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52901134?\nAnswer: 2, 11, 13, 184969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 68. Suppose h*g - 988 + 316 = 0. Does 37 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117958 is divided by 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 5*m - 1. Let l(q) be the third derivative of -q**4\/6 - q**3\/6 - 11*q**2. Let a be l(-2). Calculate x(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17\/883 (b) -23 (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/677 (b) 0.1 (c) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534373\/24 - 22267. Find the common denominator of -95\/434 and u.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.2, 5, 2\/15.\nAnswer: -1\/2, -0.2, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6996 by -2332.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (9 - (0 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3965, -7885, -14419, -23567, -35329, -49705?\nAnswer: -66695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let u be h*1\/(-6)*-4. Let z = 14 + u. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a114 (base 13) to base 3.\nAnswer: 110201211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21012303 (base 4) to base 8\nAnswer: 110663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 3\/4, 7, 120?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**2 + h + 7. Suppose -2*x = 4*g - 4*x - 8, 0 = -3*g + 5*x + 6. Let y(j) = -12*j**2 - 8. Let s(b) = g*y(b) + 3*c(b). Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242 + 197. Is (-23165)\/l - 4\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + -2*sqrt(77)))*-6*2)\/(sqrt(84)\/(sqrt(972)*-1 + sqrt(972) - sqrt(12))).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*a = -0*a - 15, 4*a - 20 = 0. Let d(b) = -b**3 + 21*b**2 - 19*b - 18. Let n be d(20). Suppose l*v + 24 = n*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:20 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:00 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -26*r**3 - r**2 - 2*r - 3. Suppose 33*l - 1 = 34*l. What is the remainder when 67 is divided by s(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**3 + j**2 - 10*j**3 - 6*j**3)*((-j + 3*j - j)*(0*j - 3*j - j) + 0*j**2 + 5*j**2 - 3*j**2).\nAnswer: -2*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 303, 614, 925?\n\"Answer: 311*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + u = -6, 2*s + 26 = -3*s - 4*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*t - 196 + 568, -5*t = f - 70. Suppose -j = 4*j - f. Solve -2*v = 5*l + 1 - 13, 5*v = -5*l + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26117 - 26117.5. Let i be -6*3*(-4)\/18. Put 1\/6, i, m, 0.2 in increasing order.\nAnswer: m, 1\/6, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(242)*-2*6*4 - -1*1*sqrt(242)*-1))**2 + -3.\nAnswer: -5390*sqrt(2) + 581064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 2874722*i**4 + 2874724*i**4 - 108*i - 5 to the form g*i**3 + n*i + z*i**4 + c*i**2 + l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 6. Suppose -28*r - p = -32*r. Factor -2\/3*i**2 + 2\/3 - 4\/3*i**r + 4\/3*i.\nAnswer: -2*(i - 1)*(i + 1)*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1 - 9*m + 4 - 3 + 0*m + 5. Let o(w) = 9*w - 4. Let v(n) = 8*n - 4. Let l(k) = -3*o(k) + 4*v(k). What is -6*d(y) - 11*l(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/11109992 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121, 350, 711, 1210, 1853?\n\"Answer: t**3 + 60*t**2 + 42*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-3)\/3) - -83. Let w = u + 210. Suppose 2*t + 60 = w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j - 5*h - 20, -4*j = 2*h - 16. Suppose 21*l - 64348 = 17*l + j*g, l - 16087 = -4*g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69441768*p - 69441770*p + 7*b = -19, 10*b + 50 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (2 - (0 + -1)). Let u(d) = -2*d**2 + 54100. Let i be u(p). Suppose -g = -45900 - i. Round g to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((7 - 8) + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8581 + -8581.00004126. Round i to six decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - k**3)*(2*k - 1 + 1 + 12*k + 7*k + 5*k + (-1 + 4 - 1)*(k - 5*k + 3*k)).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 + -383. Let o(j) = j. Let h(v) = 5*v**2 + 4*v - 1. Let n(i) = h(i) - 5*o(i). What are the prime factors of n(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 3, z: 5, t: 1, f: 2, n: 1}. What is prob of sequence jtkz?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 32*g + 7 + 7 - 83*g + 24*g + 28*g. What is r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2. Let x(l) = 8*l - 104. Let m be x(13). Let i(u) be the second derivative of m + u + 0*u**2 + 1\/3*u**3. What is i(f(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -20?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -5194.\nAnswer: -11\/5194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 3*(-2)\/(-12). Is y not equal to 1\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001028 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4728 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -1698*(-874)\/(-30912).\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/10, -0.5, -1, -0.3.\nAnswer: -1, -0.5, -0.3, 19\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/154 + 5\/22. What is the nearest to -112 in 3\/7, 2\/5, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76*(52588\/(-144617))\/(3\/((-33)\/2))?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**3 + 5*g**2 + 2*g - 5. Let f(s) = 2*s**2 - 1. Let x(k) = 4*k**3 - 4*k**2 - k + 3. Let y(t) = 2*f(t) + 2*x(t). What is 4*r(b) + 5*y(b)?\nAnswer: 4*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274344 and 56994.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -3272170955975?\nAnswer: 3272170955977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - 101?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 19. Let u be b(-20). Suppose -5*a + 72 = 2*c, -c - 1 = 3. Let x(g) = -17 + 2*g - 8*g + a. Calculate x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m - 27. Let h be l(8). Is h greater than or equal to -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:35 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2422351024*n**2 - 61 + 61 - 2422351021*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let k(p) = -946674*p. Determine k(l(t)).\nAnswer: -1893348*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 75344979 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.4. Suppose 0 = -9*k + 37 - 37. What is the biggest value in -1\/2, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*m + 3, 2*m + o - 20 + 3 = 0. What is the third derivative of -39*f**2 + 34*f**2 + f**6 + 0*f**m wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17516791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 108, 144, 146, 102, 0, -172?\n\"Answer: -2*h**3 + h**2 + 69*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6*f**5 - 61472*f**4 + 122968*f**3\/3 + 163924*f**2\/3 - 122950*f\/3 + 20492\/3 = 0.\nAnswer: -10246, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -41, 5, 3 in decreasing order.\nAnswer: 5, 3, -26, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 252.447176?\nAnswer: 252.747176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 69168.054 * 0.1\nAnswer: 6916.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + 0 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36853 - ((-1180)\/(-472))\/((-5)\/12). What is the highest common factor of 31 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 21 in increasing order.\nAnswer: 0, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, 50, -4\/9.\nAnswer: -7, -4\/9, -0.3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (122*1)\/(276\/(-92)*10\/15)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12320?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 + -179. Let r(b) = -2*b - 3. Let m be r(-3). What is the smallest common multiple of h and 3*1\/m + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18149 + -18148. What is the nearest to 1\/3 in -4, c, 0, 1.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 898348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1 + 3 + -2. Let f be ((-1)\/(-1))\/(9\/(-36)). Let i be (-6)\/(-21) + f\/(-35). Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) - (sqrt(605) + 1) - sqrt(605)) - sqrt(605))**2 + 1 + -5 - ((sqrt(100)*-1)\/sqrt(2))\/(sqrt(50)\/(sqrt(5)*1)).\nAnswer: 23*sqrt(5) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + (32 + -37 + -17 - (0 + 1))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2 + s**3 + 0*s + 23\/5*s**5 + 0*s**4 - 1\/3*s**6 + 11. Find the third derivative of w(f) wrt f.\nAnswer: -120*f**2 + 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1331) - (sqrt(1331) - -1*sqrt(1331)))*-1.\nAnswer: -5 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746196227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 6496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1781, 21, 6 in descending order.\nAnswer: 21, 6, -1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000209608 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -11. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 8*p = 10, 3*f - 14*p + 9 = -17*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 24*x + 146. Let h be a(10). Suppose -h*l = -911 - 2179. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10328793 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 52. Determine c(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 6. Let g be p(5). Let t be (-36)\/(-6)*(-2)\/g. Suppose b + t*b = 28. What is the least common multiple of b and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21010000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, 1, 4 in descending order.\nAnswer: 37, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 2*f - 2. Let j be b(4). Let m(h) = -h + 4. Let c be m(j). Let s(x) = 6*x**2 + 4*x + 3. Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2255549784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*n - 28*n - 4 - n**2)*(n**3 - n**3 + n**3) + 2*n**5 - 5*n**5 + 2*n**5.\nAnswer: -2*n**5 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46946 + 30365 = 4069*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {b: 2, g: 4, r: 2, z: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/8 - 3*v**3 - v**2\/2 + v. Let x(y) be the first derivative of f(y). What is the units digit of x(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-11 + -10 + 11 + -6)) + -28.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5745486812 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2362 - 355. What is the hundreds digit of c\/7 + (-8 - (-385)\/49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 66317?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -4 - (0 - 0). Suppose -5*g = -24*g - 285. Let z = 25 + g. Solve b*k = -3*k - z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 25 = -3*j. Let x(a) = a + j*a - 2*a. Let g(s) = -5*s. Calculate x(g(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.6 - 39. Which is the closest to -1? (a) -1 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -28. Let x = -43 + t. Which is the third smallest value? (a) 2\/5 (b) x (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1153\/12 + -96. Let i(q) be the first derivative of -1\/8*q**2 + 0*q - a*q**3 + 4. Factor i(t).\nAnswer: -t*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a**(2\/13)*a)))*a**4)**(3\/2) assuming a is positive.\nAnswer: a**(75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1097 - 1103.01. Let s = x - -6. Let j = -0.01000075 - s. What is j rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 5*o = -33*c - 9, 15*c - 10*o + 120 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*f + 25 = -248*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/2))\/r)**12*(r*r**4)**23 assuming r is positive.\nAnswer: r**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16*-1.5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143860 divided by 7193.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*((-5*k + 2*k + 2*k)*(-2 + 9 - 2) - k + 3 - 3 - 7*k + 0*k + 3*k + 3)*(-3 + 3 - 3*k)*(k + k - 7*k) to d + l*k + y*k**3 + i*k**2 and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2675 + -7517. Let h = -48349\/10 - b. Find the common denominator of 87\/14 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12698?\nAnswer: 2, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*p + 5*p. Solve -5*f + p*w - 4 = 0, 4*f = -f - 4*w + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 893.5 - 893. Let s = -0.62 + 0.22. What is the fourth smallest value in -7\/3, s, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 6*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {y: 1, c: 1, t: 1, j: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1228\/14 + (-8)\/(-28). Suppose k = 4*m + 24. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 26 + 126)*(2*q + 3*q - 2*q)*(-2 + 0 - 2)*(-3 + 3 - 1).\nAnswer: 468*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 4*y - 2 + 0. Let o be b(-6). Let q = 2 + o. 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: Factor -j**5\/3 - 145*j**4\/3 - 5183*j**3\/3 + 5329*j**2\/3.\nAnswer: -j**2*(j - 1)*(j + 73)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 202809*b + 26365172. Calculate f(-130).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1491*b**2 - 5969*b + 4. Determine n(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*t - 288. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298 and 2831?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4))**(-33))**(-4\/27) assuming p is positive.\nAnswer: p**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044789 is divided by 296.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -173, -171?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.712 rounded to one dp?\nAnswer: -71.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20044 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.165 + 7.265. Let r = -7 + m. Which is the nearest to r? (a) -5 (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 41*p - 228 + 202, 5*w = -p - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:34 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 3540.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*v + 1903, -1836 = -5*v - 5*i + 534. List the prime factors of v.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417 + -417.09. What is the fourth smallest value in f, 4, -3\/7, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09190727 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 145.468386s?\nAnswer: 0.000240523125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846919413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:08 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4. Let f be (-3)\/(-6)*(1 - -9). Let d = f - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/30429 and -52\/1449.\nAnswer: 30429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9860 and 3676?\nAnswer: 9061340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrhhh. What is prob of sequence hqr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d**2 + 11*d + 6. Let g(o) = -2*o**2 + 79*o + 122. Let z be g(41). Let t be v(z). What is the highest common divisor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1734 and 49164?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305806*z + 78 - 78.\nAnswer: 305806*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 0*x**2 + 0*x**2)*(0*x + 2*x - x - 1 + 2*x + 1 + (1 + 3 - 6)*(-x + 2*x - 3*x)) - 1 + 1 + 3*x**3 to b*x**2 + f*x + q*x**3 + p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 17*l**2 - l + 22. Let j be r(-17). What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5406565 (base 7) to base 11\nAnswer: 40a261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6679, -13578, -20701, -28048, -35619, -43414, -51433?\n\"Answer: -112*m**2 - 6563*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 - 2*n**3\/3 - n**2\/2 + n. Let m(d) = d**2 - 5*d. Let i be m(6). Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 4*m + 0*m)*(47*m - 70*m + 51*m) to the form d*m**2 + o*m + k and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t + 1. Let l be f(1). Suppose 1 - l = 3*z - g, 5*z + 3*g = 7. Let i = 2 - 2.4. Which is the closest to z? (a) i (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 23*y**2 + 22*y - 26. Let t be z(23). Suppose -5*k = -35*k - t. Is k less than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:00 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*z + 40, -q - 20 = -2*q + 3*z. Suppose 2*n = -3*n + q. Suppose 0 = t - 3 + n. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*h - 16, -34*h + 36*h + 2*d + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 21266?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c48 (base 15) in base 10?\nAnswer: -2768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -204. Is -126 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4290 and -4293 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 69, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23552849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 - 6*s**2 + (3 - 1 + 0)*(-18 - 24*s - 2*s**2 + 3*s**2 + 20).\nAnswer: -4*s**2 - 48*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 14) in base 16?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 43.\nAnswer: 43.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 18*s**2 + 11*s - 195. Let g be j(18). Solve 31*t - g = 32*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59 - m**2 + 404*m**4 + m**2 - 410*m**4 with respect to m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - -134. Let o = 235 - l. Which is smaller: o or -10\/21?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283689409*h**2*q**3 - 2*h*q**3 + 4*h*q**2 + 89*h*q + 10*h - 57*q**3 - q wrt h.\nAnswer: -567378818*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1085 - 3254\/3. Which is the third smallest value? (a) r (b) -5 (c) -0.17 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5999 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 20840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-30) + (-570)\/9. Is (-1*21)\/(t\/609) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*t + 2*y - 134, 2*t + 2*y = 38. Suppose -7*v + 408 = -5*v. Calculate the highest common factor of t and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 2*w**5\/15 - w**4\/3 - 2*w**3\/3 - 6*w**2. Let u(x) = x - 6 + 7 - 3*x**2 + 2*x**2. Determine -6*u(r) - y(r).\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.334253 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -11, -2 in ascending order.\nAnswer: -11, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/15)\/(30\/75)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/5 - i**3 - 31*i**2\/5 - 43*i\/5 - 18\/5.\nAnswer: (i - 9)*(i + 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 v when four letters picked without replacement from {v: 2, k: 1, m: 4, w: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/8690580 and -67\/270.\nAnswer: 26071740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/(-310))\/(6*(-2)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 10010720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*x - 19*x + 36816 = 32*x for x.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1069420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 17*y**2 - 6*y - 55. What are the prime factors of l(-19)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**3 - 8*o**2 + 3*o - 3. Let j(x) = 7*x**3 + 15*x**2 - 5*x + 7. Let g(d) = 3*j(d) + 5*l(d). Calculate g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2796145080 to the nearest 1000000.\nAnswer: 2796000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 8. Let c be a(-6). Suppose -l = -c*l + 17. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31026743, -62053486, -93080229, -124106972, -155133715?\nAnswer: -186160458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0 + 2*z)*(2 - 3 + 3 + 0 + 1 + 2 + 3 + 3 - 5 + (0 + 1 + 1)*(2 + 1 - 4) + 1 + 0 + 1).\nAnswer: 12*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340aa (base 11) in base 10?\nAnswer: 532520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/8 - 2*x**3\/3 + 55*x**2. Let j(m) = -3*m - 3. Give 5*h(q) - 6*j(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 9 = 5*y - 5*w, 0 = -3*y + 2*w + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 127*q - 13 + 9.\nAnswer: -127*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-12))\/3 - 1372\/(-16). Let c = g - 52. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 574*v + 18500.\nAnswer: 2*(v + 37)*(v + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 18*n - 980 = 0. Let b be (-1)\/5*-5*11. Let i = 3 + b. Calculate the greatest common factor of n and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9699107 is divided by 3000?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -24. Let k = -26 - q. Suppose -a - 2 + 4 = k. Calculate the smallest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(1872) - (3 + 0 + sqrt(1872)) - (((sqrt(13) - (sqrt(13) + (-1*sqrt(13) - sqrt(13))))*-5)**2 - ((sqrt(13)*2)**2 + 1)).\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019674273 to the power of 1\/2, to the nearest integer?\nAnswer: 44941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 9976844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -133. Let t be (-28)\/(-10) + (-44)\/n. Factor -4*i + 4*i**3 - 3 + 3 + 2*i**t + 2*i**2 - 4.\nAnswer: 4*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + f, -2*f - 3*f = 15. Let x be ((-2)\/(-4))\/(1\/6). Suppose x*z = -p + 2, -2*p = -5*p - 2*z + 6. Put w, 3, p in increasing order.\nAnswer: w, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1173 + -274.6173. Let z = h + 275. Let k = 0.3 + -0.2. Which is the closest to -0.1? (a) k (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z - 23. Let v(m) = -m + 6. Let t(a) = 6*r(a) + 22*v(a). Let d(p) = 0 + 4 - 7 + 4. Let k = 0 + 1. Determine k*t(l) + 5*d(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1948589140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76783 is divided by 1491?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 2324 = 772. Let c = w - -338. Calculate the highest common factor of 60 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15780 and 2310090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 54.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(1\/(-4)). Let p = -9840 - -9847. Let i(a) = 28*a**3 + 27*a**3 + p*a**2 - 54*a**3 + h + 7*a. Calculate i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*q - 6 - 4, q = 1. Let y be 11\/6 - 3\/(-18). Suppose -b + 0*m = -z*m - 125, -m - 262 = -y*b. What is the greatest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514*r**3 + 339*r**3 - 876*r**3.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 4*q - 5*q)*(0 + 0 + 2*q) + 0*q + q**2 + 0*q - 181*q**2 - 282*q**2 - 711*q**2 as r*q**2 + a + i*q and give r.\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 430 divided by 2\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -1.98. Let o = 175\/9 + -359\/18. What is the closest to 0 in o, k, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 4*i + 408 = 13*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6683 and 65969.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174532?\nAnswer: 2, 43633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15661 (base 7) in base 9?\nAnswer: 6087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 454513 + 5?\nAnswer: 454522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8657 - -8659. Solve q + t*r = 56 - 46, -32 = -5*q - 4*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 - 23 = 0. Suppose -7*y + s = -4*y. Suppose -5*f + 6 = -y*n + 5*n, 4*f - 6 = 3*n. Solve -2*r + 7*r + 4*d + 10 = f, 2*d = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18109400131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3453489?\nAnswer: 3, 13, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*l + 16, -3*u + 2*u - 3*l = 4. Let z = -11 - -14. What is the third smallest value in z, 2\/9, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 108. Let w(t) = -11*t - 48. Let y be w(z). Calculate the highest common divisor of 112 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20384388 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15542826 = 5*h - 3*y + 81657186, 0 = -2*h - 4*y - 38879984. Round h to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-85))\/((-2)\/(-10)*-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzee. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 222022001122?\nAnswer: -222022001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -984*y**3 + 2*y + 416.\nAnswer: -5904*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 19*p**3 - 14*p - 3*p**2 - 21\/8*p**4 + 1\/20*p**5 + 0. Suppose c(g) = 0. What is g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 4014 - 4758. Solve 24*o - j = -28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -29. What are the prime factors of (-2)\/3 - d\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5*sqrt(528))\/(((sqrt(99) - -2*sqrt(99)) + sqrt(99) - sqrt(99) - sqrt(11)) + sqrt(11)))**2.\nAnswer: 535\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43017163 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/18 + z**3\/9 - 10*z. Factor f(x).\nAnswer: 2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5041695526 to the nearest integer?\nAnswer: 71005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or -71?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57\/26 + -3\/52. What is the common denominator of -44\/569 and v?\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86121750821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let v(x) be the second derivative of -x**5\/20 + x**4\/2 + 11*x**3\/6 - 4*x**2 + 2*x. Let m(n) = -4*k(n) - v(n). What is the units digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2285859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 33629 = -3*z + 3*r, 2*z - 5*r + 22386 = 0. Let k be ((-17547)\/(-18))\/((-2)\/(-23)). Let l = k + z. Calculate the common denominator of l and 83\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*k = -25820, -u - 3*k - 12905 = -2*k. Let m be u - 0 - 0\/(-3). Round m to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 10.93. Let m = -28600 + 28599.8. Sort -16, m, u in descending order.\nAnswer: u, m, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -350478?\nAnswer: 350472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5579 * 9267.\nAnswer: -51700593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35817532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0 - -6) + -3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59782.28 rounded to the nearest ten?\nAnswer: -59780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 4*w - w + (-4*w + 2*w + w)*(0 + 3 - 4) - 4*w - w + 4*w - 34*w + w + 0*w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1504151331 - 3?\nAnswer: -1504151334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2467305.\nAnswer: 3, 5, 54829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r + 126. Let l be j(-7). Find the second derivative of 0*v + 4*v - 29 + 0*v**2 + 5 + l*v**2 - 262*v**4 wrt v.\nAnswer: -3144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 - 39*k**2 + 71*k**2 - 22*k + 22*k.\nAnswer: 7*k**3 + 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 57 = 45. Solve -5*j - 12 = z*n - 4, 0 = j + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*l**2 - 1\/2*l**3 + 0*l + 0.\nAnswer: -l**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 279 and -0.015.\nAnswer: -4.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:19 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.13752842*-0.16\nAnswer: 0.0220045472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 509958317.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -597200 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r**2 + 12*r**2 - 16*r**2 + 3*r**2 to w*r**2 + i + m*r and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 18\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.7 - 68. Let h = 6 - d. Let q = 0.2 - 0. Sort 2, q, h in decreasing order.\nAnswer: 2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -144. Let k be (38 + -32)*(-1)\/(-2). Sort k, -8, f, 4.\nAnswer: -8, f, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.97 + -0.03. Let z = 5 + -6. What is the closest to z in -0.1, w, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*g - 3 + (-2*g - 3*g + 3*g)*(3 - 3 - 1) + (6 + 0 - 4)*(4*g + 0*g - 3*g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00351511039 rounded to 5 dps?\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000244 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 125 - 125 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82839 = -8*t + 9025. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311321493 is divided by 1822?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 49*k - 31*k**2 - 6*k**2 + 2 + 58 - 15*k**3. Let v(q) = -5*q**3 - 13*q**2 + 16*q + 20. Let c(h) = -4*g(h) + 11*v(h). Let c(j) = 0. Calculate j.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - 28. Let g be p(7). Suppose -6*j + j + 10 = 0. Solve g = -q + j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*j**4 + (0*j - 2*j**3 + 0*j)*(0*j - j + 2*j) + 20*j + j**4 + 541*j**2 - 541*j**2.\nAnswer: -3*j**4 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180993 rounded to four dps?\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, 1 a, and 1 i when four letters picked without replacement from ioawwhaiihahhhii.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949737 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -285*u**8\/28 - 37*u**4\/6 - 549*u. Find the third derivative of i(p) wrt p.\nAnswer: -68400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6\/5)\/m**19)\/(m**24*((m*m**(-15))\/m)\/m))**(-13\/4) assuming m is positive.\nAnswer: m**(1833\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 6.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 94770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 + 481837584*z - 14510466084684816 = 0.\nAnswer: 60229698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-9)*(-18)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09132 rounded to three decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**42)\/j)\/j**(11\/6))\/(j**(-20)*j\/j**(-33\/5)) assuming j is positive.\nAnswer: j**(-913\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112742, -225582, -338422, -451262, -564102?\nAnswer: -676942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 8. Let f(h) = 2*h + 27. Let j be f(-12). Suppose -y = -j*y - 20. Let v be o(y). Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3. Let a(q) = 2*q - 9. Let o(t) = a(t) - 4*b(t). Let x = 6 + -2. Determine o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335629922 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:40 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 - r - 1. Let x be t(-2). Suppose 3*k + 4*j + 3 = 25, -3*k - x*j = -20. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10201 (base 3) to base 16\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/90 + 121*y**4\/9 + 58564*y**3\/9 - 2*y**2 + 171*y + 1. Factor c(n).\nAnswer: 2*(n + 242)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:37 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (71547\/(-18))\/(9\/(-54)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2788 and 20861176.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64.3646kg?\nAnswer: 64364.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 y when four letters picked without replacement from wvyyytvwwtooyotw?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 98. Let k = g - -94. Suppose 5*n - 176 - 461 = l, k*l + 247 = 2*n. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 597595\/42912 - 2001\/149. Find the common denominator of r and 33\/4.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 75*a - 1. Let g(w) = 11*w**2. Determine x(g(q)).\nAnswer: 825*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8621.\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -80. Which is the nearest to 0.3? (a) -1\/4 (b) -0.3 (c) t (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 107\/2 + (-1)\/(-2). Suppose -10 + s = j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -140, -296, -452?\n\"Answer: -156*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 96. Is w > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d**2 + 13*d - 13. Let y(h) = -3 + 0 - h + 5*h**2 + 4*h. What is 6*b(w) - 26*y(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:17 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 2185*y**3 - 2035*y**3 + 4066*y**3 to r + s*y + w*y**2 + n*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 252 + 141 = 0. Let k = -128 - x. Find the third derivative of -188 + 6*g**4 - k*g**2 + 7*g - g**5 + 188 wrt g.\nAnswer: -60*g**2 + 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/12*(4 - 7). Suppose 22 = l*s - 18. Let g = s - -69. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 7*b - 5. Let n be g(-5). Let k be -1 - (0 + 2 + -4). Let x be (-20)\/(-36)*k\/n. Sort 4, x, 2 in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 520075*f**2 - 46776375*f - 1052240625.\nAnswer: -5*(f + 45)**2*(f + 103925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 54149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 512 = -4*w, -4*w = 5*j - 4*j + 522. Calculate the remainder when (26\/(-65))\/(1\/w) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3. Let r be c(2). Suppose 0 = -4*i - i - 95. Let q = r + i. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6 = r - 2*r, 3*p - 2*r - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:42 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0992012cm?\nAnswer: 0.000992012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 131510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.737 - 26.737. Which is the nearest to -681? (a) -1 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 98.04251 micrograms?\nAnswer: 0.00000000009804251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.7. Let r = -0.3 - -0.6. Let j = r + v. Which is the nearest to j? (a) 2\/3 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.406 + -0.006. Let y = -5 + z. Let v = 3.6 + y. Sort 0.4, v, -5 in descending order.\nAnswer: v, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3.605, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87946 + 7*w + 87946.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 - 6*p + 4. What is q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/14)\/((-44)\/154). Let v(j) = b*j + j - 2*j**3 - 5*j + 0*j**3 - 1. Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38395226, 38395248, 38395270, 38395292?\n\"Answer: 22*c + 38395204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*f**3*n + 4*b*f**3 + 617*b*n**2 + f**3*n**2 + 3*f + 101 wrt n?\nAnswer: 2*b*f**3 + 1234*b*n + 2*f**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*a + 12, -3*p + 12*a = 8*a - 28. Let q(i) = -4*i + 18. Let k be q(p). Find g such that -9\/10*g + 2\/5*g**k + 1\/5 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 - x. Let y(m) = 5*m**3 + 3*m. Calculate 3*c(h) + y(h).\nAnswer: 2*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 370 + 367*z + 381*z - 101*z wrt z?\nAnswer: 647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 11*m. Which is the second biggest value? (a) -0.2 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y)\/y)**15\/((y\/(y**(2\/23)*y))\/y**6))**(3\/10) assuming y is positive.\nAnswer: y**(-537\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001046 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34576132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10\/9, -4\/7, -53, -0.2 in descending order.\nAnswer: 10\/9, -0.2, -4\/7, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 9:56 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15978 and 3807.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxrrmxmrxrgrrgrgxrgm. What is prob of picking 3 r?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*d**3*l**2*s - 3*d**3*s**2 - 4053607*d*l**2*s**2 + d*l**2 + 673*d + 14 wrt s?\nAnswer: -6*d**3 - 8107214*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -116. Let z(q) = -q**2 - q + 161. Let d be z(0). Let p be (-69)\/d + 2036\/14. Calculate the highest common factor of p and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 4*a**2 + 4*a**2 + (-2 + 4 - 3)*(-2*a**5 + 5*a**5 - a**5) + 5*a**2 - 5*a**2 - 2*a**5 - 4*a**5 - 2*a**5 + 4*a**5.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 11:08 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -1, 0.0472, 2, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(((f**(-3\/2)\/f)\/f*f*f)\/f))\/f*f)**(2\/83)*f*f\/(f**9*f)*f*f*f**(2\/55))**(-1\/25) assuming f is positive.\nAnswer: f**(26839\/114125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -9*j**3\/7 + 6546*j**2 - 8724*j - 61080\/7 = 0.\nAnswer: -2\/3, 2, 5090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2312 and 4234187.11?\nAnswer: 4236499.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/50 + 0)\/(17\/(-85)). Put s, -1\/5, 0.01, -0.3 in ascending order.\nAnswer: s, -0.3, -1\/5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*g - 530*a**4 + a**3 - 8*a**2 + 6*a*g - 2*a + 6*g wrt a.\nAnswer: 48*a*g - 12720*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 2*a + 15, -3*a = 0. Suppose 0*w = w - z. Calculate the remainder when 16 - (-3 - 0*(4 - 3)) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 - 4*v - 3. Let o(d) = 2*d**2 + 32*d + 124. Let f be o(-9). Calculate j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5525778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 2*m**2 + 3*m + 7. Let k(q) = -1. Determine -g(b) - 6*k(b).\nAnswer: -2*b**3 - 2*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -33. Suppose t*a - 195 = -193. Solve l = -2*d - 2*d - a, 5*d + 5*l + 20 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16177040\/457808 - (-2)\/(-71)) + -35.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64547.\nAnswer: 7, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362*u - 6237*u - 5469 + 90709 = -56135 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*14\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2*(-4)\/4. Let c be (0 + 1)\/((-2)\/(-136)). Suppose 0 = -o*v + 4*v - c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 43 = 5*s + 2*k, -3*k = -3*s + 33. Solve 7*n + p = s*n - 5, 0 = -4*n + 5*p + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.96. Let p = 34.8 + -28. Let w = p + -7. What is the third smallest value in o, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263559?\nAnswer: 3, 87853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, 3\/8, -1085, 4\/7, -3\/8, 17?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (11 - 21 - -20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f**3 - f**3 + 0*f**3)*(-1451 + 128 + 522) to y*f**2 + t + m*f + j*f**3 and give j.\nAnswer: -4806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 9 + d - 12 + 10*d. Let g be y(-9). Suppose 0 = 3*k - g - 432. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -657*r**4 + 4*r*s + 33725*s wrt r.\nAnswer: -2628*r**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 3:16 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/f**(-29)))\/(f*f**4)*f**(-2\/51)*f\/f**(-25) assuming f is positive.\nAnswer: f**(-308\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*t + 18 = t, 6 = 3*i - 3*t. Suppose -i*m - 7 = u - 2*m, u = -3*m + 3. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -2456\nAnswer: 270.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 136. Suppose y = -24 + u. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - m**2 - m**2)*((-26 - 2 - 6)*(-5*m + m + 2*m) + 52 - 52 + 16*m - m - m + m + (-4*m + 2*m + m)*(1 + 0 - 3)).\nAnswer: -170*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -0.1 (c) 0 (d) 6\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**0\/(g**(-2))**(-3\/10)*(g*g**(-1\/3))\/(g\/(((g**(-4)\/g*g*g)\/g)\/g))*g**0*(g\/(g\/g**4))\/g*g*g assuming g is positive.\nAnswer: g**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -2, 1040, 69 in ascending order.\nAnswer: -10, -2, 5, 69, 1040","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 14*w**2 + 6*w - 69. Determine i(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 12:39 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*t - 3*d, -8*t - 23 = -11*t - 2*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - -2206.2094.\nAnswer: 2206.2994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 18. Let a(u) be the second derivative of -u**3\/6 - u**2 - u. What is the units digit of a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11389 - -19285. Does b = 7896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**3 - 1\/4*m**4 + 3\/2*m**2 + 0 + 1\/20*m**5 + 4*m. Let g = 18 - 15. Determine h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) 0.9 (b) 34 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 42. Let c = y - -87. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 39*w**3 - 28*w**3 + 3 + w in the form y + s*w**3 + v*w + h*w**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 22 + -8 + -3 + -13 + -81?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {i: 8, n: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15552, -14784, -13976, -13122, -12216, -11252, -10224?\nAnswer: -9126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 77.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -29\/24 (c) -2\/3 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -137*l**5\/60 + l**4\/24 - 28*l**3\/3 + 3*l**2 - 22*l. What is the second derivative of m(v) wrt v?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -0.2, 3, 0.652, 1.7 in increasing order.\nAnswer: -3, -0.4, -0.2, 0.652, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d*y**3 - 2*d*y**2 + 47*d*y - 12*d - 4*y**3 + 7475*y wrt d.\nAnswer: 3*y**3 - 2*y**2 + 47*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 534 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -181, -182, -183?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**7\/42 + n**6\/8 + n**5\/6 - 13*n**2\/2 + 10*n. Let q(c) be the first derivative of k(c). Find b, given that q(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 707 + 79. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:57 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 27*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2354*l**3 + 682*l**3 - 341*l**3 - 3197*l**2 + 86*l**2 - 2623*l**2 wrt l.\nAnswer: 16170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((108\/15)\/(-1))\/(9\/(-150)). What is the highest common factor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-96)*3\/((-3)\/(-4)). What is the tens digit of (-9)\/c - (3 - (-22)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47580, 95177, 142808, 190479, 238196, 285965, 333792, 381683?\nAnswer: 429644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 710*c**3 - 1629*c - 8271024?\nAnswer: 2130*c**2 - 1629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3082.355nm?\nAnswer: 3.082355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {w: 3, k: 4, c: 2, d: 3, a: 1, e: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4301464980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10234204 less than 0.3?\nAnswer: 10234204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 3*b**3 + 5*b**3 + (0*b**2 - 4*b**2 + 2*b**2)*(0*b + 0*b + 5*b) - 2*b**3 + 2*b**3 + b**3 to the form w*b**2 + k*b**3 + d*b + a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + t - 22. Let o be r(3). Let x be 16\/(-10)*125\/(-10). Calculate the greatest common divisor of x and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/4*2\/(-5). Suppose -h + 18 = r. Calculate the remainder when r is divided by (-4)\/12*(1 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7902484 and 40\/1267299.\nAnswer: 2347037748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 18 - 0. Let b = -2 - m. Let t(i) be the first derivative of -i**4\/4 - 2*i**3 - 3*i**2 + 8. Give t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(539) + sqrt(539))*4 - sqrt(539).\nAnswer: 161*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 4*v - 5. Let q(d) = 5*d**2 + 2*d - 3*d**2 + 12 + d - 8. Calculate 5*q(l) + 4*s(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 39. Let m = g - -16. Suppose -5*x + 307 = 2*r, m*r - x - 257 = 4*x. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121\/4? (a) 0.4 (b) 2\/7 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 2*u - 3*u)*(5 - 3 + 0) in the form z*u + x and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 45840?\nAnswer: 1512720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/429*77)\/((-2)\/9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 13*n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 6*o + 9 - o + 2*o. Let j(r) = 15*r**2. Let n(a) = 7*a**2. Let z = -46 + 40. Let p(l) = z*j(l) + 13*n(l). Give p(v(x)).\nAnswer: 4*x**2 + 36*x + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 22*d**2 - 50*d - 14. Let a = -13581 - -13605. Determine s(a).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 2, -24, 1 in descending order.\nAnswer: 9, 2, 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1)*(0 - 1). Let v(w) = -7*w - 3 + 1 + g. Does 9 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c - -35c?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363990 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(66)\/(-2*sqrt(54)))**2 - ((sqrt(11) + 4*2*sqrt(11))**2 + sqrt(99) + -1)) + 4.\nAnswer: -31705\/36 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3408.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 3*u + 4. Determine q(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-30) - (-4)\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 28*n + 46. Let s(l) = -9*l - 15. Let h(p) = -16*s(p) - 5*u(p). Let o = 1418 - 1408. What are the prime factors of h(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:51 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1042 + 1049. Let z(v) be the first derivative of -4\/3*v + m + 2\/9*v**3 - 7\/6*v**2. Suppose z(s) = 0. What is s?\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 2, d: 1, w: 1, y: 2, n: 1}. What is prob of picking 1 l, 1 v, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = 3, -4*b = 5*m - 2. Is 3 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*p**3 - 10*p**3 - 3*p**3 + p**2 + 3 + p**4 - 7*p**3 - 4*p to l*p**3 + u + d*p**4 + x*p**2 + a*p and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*q + 252*q - 6579 = 530*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let m(s) = -31*s + 5. Let h be m(10). Let n be (q + 1)\/(5\/h). What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 21 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26803 divided by -1264\nAnswer: -26803\/1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ghgppepptsththp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -126.5. What is the nearest to 0.1 in 5, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028364707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.3 (c) 370 (d) -3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 0*a, -3*l - 3*a = -30. Suppose -4*j - l*j = -6678. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*1\/(2\/9). Let t be (l\/8)\/(-5 + (-39)\/(-6)). Which is the smallest value? (a) t (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215600711 is divided by 75?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + 9.95. Let o = -0.45 + l. Let g = o + -0.8. Sort g, 1\/6, -0.2.\nAnswer: -0.2, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/8 + 129*l**3\/8 - 16641*l**2\/8 - 1192605*l\/8 - 10256403\/4.\nAnswer: 3*(l - 86)*(l + 43)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154235.\nAnswer: 5, 109, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55801 is divided by 117?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.12. Let w = -0.2 + g. Let t = w + 0.11. What is t rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 + 2*m**2 - 9*m - 10. Let t(k) = -6*k**3 + 2*k**2 - 7*k - 8. What is 5*g(l) - 6*t(l)?\nAnswer: 16*l**3 - 2*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326.78 rounded to the nearest 10?\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/(-68) + -5*32\/1360?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*n = -47 + 46, 0 = -2*v + 2*n - 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -79*l + 80*l. Factor 7*k**4 + k + 5*k**3 - l*k**4 - 6*k - 2*k**4 + 5*k**2.\nAnswer: -5*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430444220 - 134?\nAnswer: -430444404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 30*j. Let k(i) = 5*i. Let a(y) = -6*k(y) + p(y). Let r(l) = 3917*l. Determine r(a(f)).\nAnswer: 3917*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4 + 20. Let h(n) = -6*n - 13. What is the remainder when h(-6) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354578858 is divided by 1580?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*(-12)\/330?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32570 (base 15) to base 10.\nAnswer: -159855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108844109 to the power of 1\/2, to the nearest integer?\nAnswer: 10433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -64148754 rounded to the nearest 10000?\nAnswer: -64150000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 14 - -2 - (-72 - (-8 + -38))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 11) to base 7.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**2 + 639*j + 3. Determine f(71).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 209, 485, 871, 1367, 1973, 2689?\nAnswer: 3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343 + 428. What is the third smallest value in o, -4, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788470 a multiple of 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) 102 (c) 5 (d) -1.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, b: 10, d: 4}. What is prob of picking 3 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 4, s: 3, v: 3, j: 3}. What is prob of sequence vvj?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4882 - ((0 - 1) + (-2)\/1). Suppose -22*p + 23*p = v. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 21390*t**2 + 23908605*t - 2181960500.\nAnswer: 5*(t - 2089)**2*(t - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4331 - -4331. Solve 2*c + z*c - l - 1 = 0, -3*c - 12 = 3*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 64 = -42*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6077 - 3776. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -16\/3*r**3 - 148*r**2 + 1\/2*r**4 + 0 + 0*r - 1\/60*r**5. Factor m(j).\nAnswer: -(j - 8)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 168 - 169. Let y be v\/(-4) + 459\/(-3468). Put -0.19, -5, y in descending order.\nAnswer: y, -0.19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 27*a**2 + 88*a + 1462. What is l(-29)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v + 53 + 19 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*d - 4 = 0, -5 = 2*l + 3*d - 0*d. What are the prime factors of 46\/5 - l\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/120 and -111\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132931?\nAnswer: 307, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68825376 by -1944.\nAnswer: 35404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-42)\/60*4*(-17)\/(-1071)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 40*t + 72. Let w be (-9*2\/12)\/(t\/4). Solve -3 = -2*l + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935825971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, q: 3, i: 2}. Give prob of sequence mqq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6064)\/(-5))\/(0 + 5\/25). Suppose 129*g - 127*g - o = 0. Suppose g - 92 = 10*y. Is 49 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + b = -40, 19*r - 17*r - 4*b - 46 = 0. Suppose -4*m - 3*i + 132 = 0, r*i - 24*i + 132 = 4*m. Calculate the lowest common multiple of 114 and m.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**3 - 17*i**2*s - 9498*s wrt i?\nAnswer: 12*i**2 - 34*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 985 and 2652211?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and -2?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**3*l*r + 276*k**3*l - 290*k**2*l*r - k**2*l + 2*l*r wrt k?\nAnswer: -48*l*r + 1656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7962 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 282*x + 1927. Let d be i(7). Let w be -1 + 1 + -1*3. Sort w, d, -7.\nAnswer: -7, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124279 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -5173*r**6\/120 - 1001*r**5\/60 + r**3\/3 + 1881*r**2. Find the third derivative of x(y) wrt y.\nAnswer: -31038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/11 in -8\/5, 2, -3\/8?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*l + 2 = -6*x, -2*x - 13 = 3*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -186. Let n = 94 - k. Let v = -11 + 8. Which is the third biggest value? (a) -0.1 (b) v (c) 1\/4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7045616.2224 + 0.3?\nAnswer: 7045616.5224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15913, 63955, 144119, 256405, 400813, 577343, 785995?\nAnswer: 1026769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*p**4\/7 - 608*p**3\/7 + 408*p**2\/7 - 14*p + 8\/7.\nAnswer: 2*(p - 4)*(4*p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 107*t - 3.\nAnswer: -107*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -72.\nAnswer: -72.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (6 + -8 + -6 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/((-7)\/(-315)). Let y = 18 + t. Solve -3*z - m = 2*m - 21, y = -5*z + 3*m + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 6*o - 2. Let m(c) = -5*c**2 - 5*c + 1. Calculate -5*m(s) - 4*r(s).\nAnswer: s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 16*x**3 + 1. Calculate a(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74549473?\nAnswer: 47, 487, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -64674*q - 20760369. Calculate g(-321).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/10 - 2824*n**2\/5 - 22616*n\/5 - 45248\/5.\nAnswer: (n - 5656)*(n + 4)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1380)\/(-9) + ((-770)\/(-21))\/22. Let q(a) = -2*a**3 - 8*a**2 + 2*a + 24. Let r be q(-6). Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-5 - (-11 + (15 - 7) - 9))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + j**2 - 2*j - 2. Let y(i) be the first derivative of 7*i**4\/4 - 2*i**3\/3 + 5*i**2\/2 + 5*i + 19. Calculate -5*o(n) - 2*y(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-20) - (-3164)\/(-10). Let m = 541 + o. Let r be m*((-123)\/(-9) + 1). Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 13. Let o be p(-9). Let x = o + -7. Suppose -2*v - 3 + 1 = 0. Does v = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94430587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30951 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 - j - 5. Let c be (6 - 7)*1*-5. Suppose 0 = 2*w - 3*o - 3 + 6, 9 = -2*w + c*o. What is y(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388270, 776148, 1164026?\nAnswer: 1551904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2362*g**3 - 5*g**2 + 65929.\nAnswer: -7086*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35.2 and 461476794.4.\nAnswer: 461476829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, -5, -2 in ascending order.\nAnswer: -5, -4, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r. Let n(b) = -58*b**2 - 2. Give n(p(y)).\nAnswer: -522*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 17.8144\nAnswer: -1.78144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 15, 53, 117, 213?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -2*i. Suppose 5*j + 112 = -w + 92, -2*j - 4*w - 26 = 0. Let o be (8\/(5 + -1))\/(-1). Sort j, o, i in decreasing order.\nAnswer: i, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 628*i - 301*i - 305*i - 440. Let w(t) = -44*t + 4. Suppose 6*u - u = -20. Let g be w(u). What is the greatest common factor of g and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3 - 0)\/((-434)\/(-10416)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10789*g - 9734*g - 20045 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + (5 + 4 + sqrt(1377))*-6)**2 + 0.\nAnswer: 5508*sqrt(17) + 52172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 15*s - 3. Let j = -10 + 3. Let u be (-7)\/3*(j - -1). List the prime factors of q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 1, q: 2, z: 2, i: 1, r: 1}. Give prob of picking 1 k, 1 r, 1 g, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496070 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130362066*y**3 + 200911015 wrt y?\nAnswer: -391086198*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -701, 1336, 6867, 17632, 35371?\n\"Answer: 290*p**3 + 7*p**2 - 14*p - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.17, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 25. What is the remainder when 46 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 - 12*u - 9 in the form i + m*u and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (2 + -1) - -3. Let y be (p*(5 - 2))\/2. Suppose -2*h - u + 6 + y = 0, -4*h - 5*u = -9. Which is smaller: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(52)*2)**2 + 3.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 33 + 33 + 500*t - 95 as h*t + f and give h.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4452 is divided by 887?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 + 2 = 0. Let t be g - (4 - (10 - 3)). Suppose 3*b = -5*f + 230, b + t*f = 8*f + 105. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1809805515 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118563 and 2055092.\nAnswer: 6165276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 14*v + 295. Give k(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4362047kg to nanograms.\nAnswer: 436204700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -1.2. What is the nearest to o in -3, -4, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -626 - -629. What are the prime factors of (6\/(-2))\/z - -5 - -822?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**2 + 4*x - x**2 - 5*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*y - 6*i**3 + 13*i**2*y - 1694*i*y wrt i?\nAnswer: -12*i*y - 36*i + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 2, m: 3}. What is prob of picking 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 13 = -9*v + 2*h, -2*h = -v + 9. Let n(x) = -9 + 2*x**3 - x**3 + v. Let m be 0*(0\/(-2*2) + 1). Determine n(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - -0.4. Let x = n + 2.96. Let t = x - -1. What is the biggest value in 3, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13396 + -13388. Solve -y*d + 39 = -1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvxhjxc. Give prob of picking 1 j and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 113*b**2 - 112*b**2 + 221*b**2.\nAnswer: -4*b**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -d, -5*m - 16 = -3*d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 19.401417.\nAnswer: 20.401417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*r - 6, 10 = -b + 2*b - 5*r. Suppose b = 6*n - n. Let v = 4.2 - 4. Put n, -2, v in descending order.\nAnswer: v, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 minus -19104?\nAnswer: 19106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94540 and 5216?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*f - 3965 = -1959 - 1967, 0 = -3*h - 4*f + 6 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 459? (a) 19 (b) -3 (c) 0.1 (d) -6 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-4)*(7 - 119\/21). Which is bigger: w or 31?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/120 + l**5\/12 - l**4\/6 + 3*l**3\/2 - l**2. List the prime factors of r(4).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -77*y**3 - 5*y**2 + 10*y + 83. Is q(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -2, -36.\nAnswer: -36, -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -18, 5, -3, -148 in increasing order.\nAnswer: -148, -18, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309225 is divided by 51516?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 45, 53, 57, 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n + 25. Let i be u(7). Let y = 52 + i. Suppose y = -3*w + 3*a + 414, -47 + 195 = w + 4*a. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1061300 (base 7) to base 8\nAnswer: -402701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 98. Solve m*d - 3 - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(1\/3) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 20*u + 32*u to the form k + x*u and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-9 - 78 - -4) - 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100 and -3.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 = 2*m - 6*m, 0 = v - m - 12. Let u = v + -18. What is the units digit of 2*(-2)\/u*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -0.02, 2, 0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802 - 802 - 26*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 24198904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -916348572*d. Let p(w) = 2*w. Give t(p(m)).\nAnswer: -1832697144*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 11*i**2 as y + t*i + w*i**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1490\/(-30)*(-3)\/(-2). Let m = -73 - g. Which is the closest to 0? (a) -2\/3 (b) m (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 55309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -136, -476, -1140, -2236?\nAnswer: -3872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3477199 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/5 - 24*b**4\/5 - 58*b**3\/5 - 36*b**2\/5 = 0.\nAnswer: -9, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311210 divided by -262242?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.0092, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1969 = o + 491, -4*o + 3*g = -5837. What is the greatest common divisor of 77 and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:24 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 188 = 5*z, -z + 2*z - 424 = -5*j. Let a be 89\/(-4 - j\/(-20)). Let n be a\/(-149) + (3 - 0). Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 253*184\/(-4554).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -856*u**6 + 2*u**3 + 941*u**2?\nAnswer: -102720*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003033 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 19*t + 35667. Let i = t + 2233. Calculate the highest common divisor of 57 and i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 - 238. Which is the third smallest value? (a) -0.1 (b) 55 (c) 5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x. Suppose 4*w + 4 = -4. Let p be 1 - (2 - 1 - w). What is the remainder when b(p) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/33 = -5.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491760801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45\/148 - 2\/37. Which is the closest to 0.28? (a) l (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by -5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37, -5, 0, 19 in decreasing order.\nAnswer: 37, 19, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397\/17 + 9937\/459. What is the common denominator of 83\/18 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -6*a - 516. Let b = a - 128. Let i be (285\/(-20) - b\/(-4))*-1. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206446 is divided by 465.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 19*b**2 - 3*b - 16. Calculate the smallest common multiple of 4 and n(10).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 + -20 + -19 - (3 + 1)) + (1 - 44)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*x + 26 = 0, 738 = 5*t + 4*x + 719 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -635283 divided by -6831?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003958 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, -2*a - 16 = 8*t - 4*t. Let y(l) = -75*l - 2. Let i be y(a). Calculate the remainder when (i\/95)\/((-2)\/50) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.558 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {e: 13, t: 6}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4 (c) 39 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -3.5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 15*f**2 + 16*f**2 + 0*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2324*m + 2319*m - 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 0 + o**2 + 0 + (-5*o + 11*o - 5*o)*(0*o - o + 2*o) + 1893*o - 1893*o - 1206*o**2 to the form x*o**2 + m + z*o and give x.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (20 - (0 + -19 + 36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4))**42*(s**(-1\/2))**(-2\/95))**(-48) assuming s is positive.\nAnswer: s**(-47928\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 769611, 1539424, 2309227, 3079014, 3848779, 4618516, 5388219?\n\"Answer: -x**3 + x**2 + 769817*x - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qennpphppndnn. Give prob of sequence qn.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 163 (c) -0.01 (d) 0.1 (e) 4\/275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 43368?\nAnswer: -43373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -18, -63, -146, -279, -474, -743?\n\"Answer: -2*v**3 - v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.8139 millilitres to litres.\nAnswer: 0.0238139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 8*p + 1. Let i be o(6). Let g(u) = u**3 - 12*u**2 - 15*u + 1. Let x be g(i). Is x bigger than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*i - 480*i = -3*j - 24, -j = -3*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.188865nm to millimeters.\nAnswer: 0.000007188865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 2284, 3422, 4558, 5692?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24290 and 50.\nAnswer: 121450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12848\/795 - -3\/530. Calculate the common denominator of u and 103\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -26 - 12 + 181*f - 212*f + 1. Calculate v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*g + k, 4*g - 2*k - 3 = 15. Find the third derivative of -b**g - 4*b**2 + 0*b**2 - b**2 + 2*b**2 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7687 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + 560 + 6. Let k = 66 + m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539879 is divided by 26879?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14288 = 79788. What is h rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-138))\/((-33)\/44).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44331 - 75397 = -w + 17573. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*f - 25 = 0, -u + 5*f = -4 + 14. Suppose -2*d - 2*h + 102 = 0, u*d + 0*h = -h + 243. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 95. Suppose -15*v + 2694 = -u. List the prime factors of v.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139*m**2\/8 - 35*m\/2 - 1\/8.\nAnswer: -(m + 1)*(139*m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-10))\/((-144)\/(-1008)*42\/90).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612990*p - 612955*p + 805 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3fb48e (base 16) to base 7\nAnswer: -50325661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21188 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -54699.3 to the nearest 100.\nAnswer: -54700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50359372 divided by -1071476\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2239.8.\nAnswer: 4479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 66758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 227*a**2 + 3*a - 3. Let n(b) = -164*b**2 - 2*b + 2. Calculate 5*h(c) + 8*n(c).\nAnswer: -177*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_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 2*l = -2*l - 24. Let t = l + 10. Suppose -k - 3*k - t*q = -152, 0 = q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571900 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -439071, -438861, -438651, -438441, -438231?\n\"Answer: 210*l - 439281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -204. Suppose z = 3*p + 21. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -462 and -0.1.\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10369*d + 953911. What is g(92)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -567917 + 1034*y + 567917 + (2*y + 4 - 4)*(-3 + 3 - 3).\nAnswer: 1028*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 3*x**2)*(3 - 2*x - 3) - 22564944*x**2 + 22564944*x**2 + 45495*x**3.\nAnswer: 45497*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/9 - 404*l**2 + 244824*l - 49454448 = 0. What is l?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(39*37\/962)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*i + 16*i**3 - 61*i**3 - 270*i + 82*i.\nAnswer: -45*i**3 - 364*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -636 in increasing order.\nAnswer: -636, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b = 56*b + 680. What is the highest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 - -248.9. Let a = -97 - d. What is the biggest value in a, 8, 0.4, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -7*y - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292961258\/62182155 - -116\/291935. Let z = 5\/426 - v. Find the common denominator of z and 76\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559.4985 years in millennia?\nAnswer: 0.5594985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -563 (c) -4 (d) -0.3 (e) -0.4 (f) -15 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-23)*k**(-15) assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 3*b**2 + b - 1. Let r = 368 - -190. Let o be (2\/(-12))\/((-31)\/r). What is x(o)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.001 - -0.027. Let x = a - 0.126. Sort -1\/4, 2\/3, x, 12.\nAnswer: -1\/4, x, 2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 501*h. Let n(v) = 2*v**2 - 4494. Determine l(n(u)).\nAnswer: 1002*u**2 - 2251494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352.159 + 0.841. Let x = -332.9 + o. Let j = x - 20. Which is smaller: j or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4382426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3300)*-2)\/(-2*sqrt(33)\/sqrt(3)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12550400+35\nAnswer: -12550365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90.9 + -1.1. Let b = d - -53. Let c = b - -38.92. Round c to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -62.5978, -0.1?\nAnswer: -62.5978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/150 and -98\/180471975?\nAnswer: 360943950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -77. Calculate the least common multiple of -1 - (2\/8 - 36\/q) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**8\/84 - 16*k**7\/105 - 3*k**6\/10 - 15*k**2 + 190. Let u(x) be the second derivative of g(x). Let u(h) = 0. What is h?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = 2*g - 1, 5*d - 20 = -3*g. Suppose -t + 0*t = d*b, b + 21 = 5*t. Suppose 20 = -t*p + 8*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530400833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8403, 8672, 8933, 9186, 9431, 9668?\nAnswer: 9897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (81 - 36 - 13)*(1 - 1 + k**2) + 2*k - 2*k - k**2 as y*k**2 + h + d*k and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (-5 + -3 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215 + -483623?\nAnswer: -483407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 600 + -1046. Let s = 467 + g. Let d(f) = -f**2 - 6*f - 1. What is the remainder when s is divided by d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(5 + -4) + 182 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7703 and 18.51?\nAnswer: 7721.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3511 - -3514. Let g(q) be the second derivative of -7\/6*q**4 + 0*q**r + 0*q**2 + 13*q - 13\/20*q**5 + 0. Find the third derivative of g(x) wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05184 * 3.02\nAnswer: -0.1565568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86723370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 9.9 (c) 11 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/7, -1, 3\/2, -3\/19 in decreasing order.\nAnswer: 3\/2, -3\/19, -2\/7, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/6 + 4*a**2 + 83*a\/6 + 10 = 0. What is a?\nAnswer: -20, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1275169, -1, 1, 5 in descending order.\nAnswer: 1275169, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.7. Let g = -52.8 + q. Let b = 52.00000135 + g. What is b rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 375 - 45 = 0. Suppose 3*d = 5*d - n. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 take away 4775752?\nAnswer: -4775339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15\/4 - (-5)\/20 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 4*a, 5*m = -a + 476. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*a - 20, 3*r + 5*a + 71 = 182. Let h(f) = -6*f - 3. Let x be h(3). Let m = x + r. What is the highest common divisor of m and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50435210 + 2?\nAnswer: 50435212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, y: 5}. What is prob of picking 1 b and 2 y?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/2)\/(l*l\/(l*l**(-2\/45)*l*l*l)) assuming l is positive.\nAnswer: l**(311\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - h)*(1 - h - 1)*(2 + 4 + 2 + (3 - 1 - 3)*(-4 - 2 - 2)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mppc when four letters picked without replacement from {m: 2, a: 1, p: 2, h: 2, c: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-84))\/(((-1)\/(-9))\/(42\/(-63)))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t + 2. Let s(y) = -1. Let i(w) = -w**3 + 9*w**2 - w + 1. Let n be i(0). Calculate n*v(g) - s(g).\nAnswer: 10*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from hhshhsuhjoshu.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-8)\/(-12) - -1). Let l(f) = 3*f - 8 + b + f**2 - 7*f. Does 19 divide l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) 1\/2 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 9 in increasing order.\nAnswer: -5, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 66*v - 951. Does 49 divide j(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 13*j + 7. Calculate v(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 3\/8, 14\/25, -3, -14?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/7 + 82*p**2\/7 + 1088*p\/7 + 4608\/7 = 0.\nAnswer: -16, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 222370.6 years?\nAnswer: 2223.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*i - 1142, -2*i = -y + 366 + 752. Calculate the lowest common multiple of 20 and y.\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20562, -42111, -64646, -88173, -112698, -138227, -164766?\n\"Answer: -h**3 - 487*h**2 - 20081*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -7840177\nAnswer: 4\/7840177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12*y**2 + 5*y + 5. Let q = -1104 - -1109. Let t(x) = -18*x**2 - 8*x - 8. Let a be -3*(80\/6)\/(-5). Calculate a*n(o) + q*t(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 6*d + 4*d)*(-d + 4*d - 2*d) + (d + 3*d - 2*d)*(0*d + 4*d - 3*d) - 3*d**2 + 5*d**2 + 2*d**2 + (-3*d**2 - d**2 + 2*d**2)*(-13 - 12 + 10).\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k + 13. What is n(9)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 6 - 35\/3*o**4 - 8\/3*o**2 + 0*o + 104\/9*o**3 - 98\/15*o**5. Suppose r(x) = 0. What is x?\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622868 + 1245664 - 11*r - 622796.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2963 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 3184*g + g**2 - 3*g**2 - 3181*g. What is r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o - 12. Let c be g(-8). Is 91 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/49 and 17\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/5)\/s)\/s)**(-5\/6))**(-3\/25) assuming s is positive.\nAnswer: s**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 28. What is the remainder when 23 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120.6 + 20.6. Let z = s + 67. Let c = z + 33.000007. What is c rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + 2948*q - 192 - 2918*q.\nAnswer: 30*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/143864 or -16?\nAnswer: 29\/143864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7207*b = 3*y - 7210*b - 12, -5*b = -3*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/24 - f**3\/3 - 7*f**2. Give u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-26)*(-10660)\/(-615)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/296*37)\/(3\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20254, 42291, 64330, 86371, 108414?\nAnswer: 130459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 23*o + 75. Let p be z(-19). What is the smallest common multiple of p\/2 - (-88)\/(-16)*-7 and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 + -6. Let q = 0.6 + m. Let j = q + 0.4. What is the nearest to j in -5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296375 + -211228. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11*-13)\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2064 and 477249?\nAnswer: 328347312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34886*f**5 + 23*f - 499 wrt f.\nAnswer: -697720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five quarters of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251802379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 6 (b) -0.1 (c) -6 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59301, -474680, -1602147, -3797748, -7417529, -12817536?\nAnswer: -20353815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 19\/11, 4, -0.4, 1\/25 in decreasing order.\nAnswer: 4, 19\/11, 1\/25, -0.4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049768 to 7 dps.\nAnswer: 0.0000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**2 - 1\/12*r**3 - 1\/16*r**4 + 1\/24*r**6 + 0*r - 6 + 1\/20*r**5. Factor p(n).\nAnswer: n**2*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010+68.66\nAnswer: -1941.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/343 + -737\/5831. Let i be (-1)\/((1 + 0)\/(3\/(-15))). What is the second biggest value in w, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from nnrnrrnn.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let z(y) = 7*y**2 + 5*y + 1. Let j(i) = 5*f(i) - z(i). Let r = -18 + 29. Let b(p) = 4*p**2 + 9*p + 2. Determine r*j(d) + 6*b(d).\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**3 - 3*k**2 - 2*k**3 - 5 - 13*k**3 - k**3 + k**4 - k + 2*k to d + p*k**4 + w*k + z*k**3 + g*k**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = 4*z, -2 + 6 = -4*z - 4*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 36. Suppose 44 = -5*l + b. Let k = 55 + l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44791405837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412901 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqmen. What is prob of sequence nmqn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/8 - 1\/8. Let r = -33.54 + 0.54. Let k = r - -35. Which is the second smallest value? (a) k (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 108*n**2 - 122*n - 256. What is u(-35)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -14816854177?\nAnswer: -14816854177.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5 - 64\/(-8) - 3)*120\/32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 35 = 3*w + 2*w, 0 = w + 5*b - 30. Solve 2 = w*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 5*j**2 - 4*j - 3. Let q(f) = 7*f**3 - 9*f**2 + 8*f + 5. Suppose -448 = 108*y - 772. Give y*q(d) + 5*n(d).\nAnswer: 6*d**3 - 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.94581198 to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686498798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -116.2332?\nAnswer: 115.2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25340 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93274?\nAnswer: 2, 149, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.3026.\nAnswer: -1.3026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:03 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2920*h - 5698 - 1867*h - 154*h wrt h?\nAnswer: -4941","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*l**2 + 2*g*w**2 - l**2*w**2 + 35*l**2 + 2*l + 5*w**4 with respect to w.\nAnswer: 4*g*w - 2*l**2*w + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w - 2800 + 11508. List the prime factors of w.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 b when four letters picked without replacement from {b: 4, z: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*d - 90, 3*d + 2*v = 52 + 93. What is the greatest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8056*q**3 + 20*q**2 - 21*q + 170.\nAnswer: 48336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*y + 5 = 0, -2*d - 2 = 12344*y - 12342*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.8 - 81.8. Let d = o + 65.68. Round d to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -249*p + 131*p + 16*p**2 - 5 + 194*p. Let v(k) = -3*k**2 - 15*k + 1. Determine -2*d(t) - 11*v(t).\nAnswer: t**2 + 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -60*w**2 + 19*w - 40. Calculate d(2).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20*l + 101. Let i be z(5). Let q(r) = r**3 + 22*r**2 - 24*r - 18. Let g be q(-23). Solve -g*s - 6 = -i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + ((-2)\/(-16))\/((-4)\/(-120)). Sort -3, c, 1\/8, 3\/2 in ascending order.\nAnswer: -3, 1\/8, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 10*i**6\/3 + i**4\/4 - 2*i**3\/3 - 51*i**2\/2 + 68. Find the third derivative of d(m) wrt m.\nAnswer: 1200*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2371\/22 + -1158\/11. Which is smaller: m or -18\/29?\nAnswer: -18\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 167\/10069691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112\/3 + -38. Let a = -1\/3 - w. Let f be 0\/(2 + -1 + 0). What is the nearest to 0 in f, a, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/18)\/(3\/9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1.7, 3, 1\/4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.68256t in kilograms?\nAnswer: 90682.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/27)*(-8)\/((-1728)\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 0 - (-1328)\/4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4963.86 + -5010. Let a = 46 + v. Let n = a - -0.1435. What is n rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 16*f + 82. Let a be x(-5). What is the first derivative of 63*m**a - 2512 - 350*m**2 + 2798 - m**3 wrt m?\nAnswer: -3*m**2 - 574*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 652\/40 + -5 - 1 and 53\/168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/5, -1\/4, 1.1 in ascending order.\nAnswer: -1, -3\/5, -1\/4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -1 (c) 9 (d) 415 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/95 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4\/29, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*r + 1, -r = 4*i + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttuuuvvuuvvdvtvddv. What is prob of picking 4 t?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 6*k + 3. Suppose -19 - 5 = 4*c. Let a be i(c). Factor -21*v**3 + 4*v**4 + 11*v**a + 2*v**3 - 4*v - 4*v**2 + 12*v.\nAnswer: 4*v*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 16*i + 2. Let g(s) = 123*s + 83. Let k(w) = g(w) - 7*h(w). Calculate k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9655982 divided by -1379426\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -11. Let b be 350\/3 + j\/12. Suppose 0 = 3*l - 0*p - 4*p - 106, -3*l = p - b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 567*p**2 + 4969*p - 29572. What is i(-558)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.20644 - 0.08637. Round u to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 9, l: 5, c: 1, z: 4, p: 1}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(70)*1*-5*-5)\/((sqrt(30)\/sqrt(3)*-4 + sqrt(10) - -1*sqrt(40)\/sqrt(4))*-1).\nAnswer: 2 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1896, -15356, -51922, -123144, -240572, -415756, -660246, -985592?\nAnswer: -1403344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21366 (base 7) to base 9\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6074254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 9) in base 2?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**2 - 84198 - 8*a**2 + 4*a**2 - 14*a**2 + 84198.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 6. Let o be g(0). Which is greater: o or 16\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.339 times 141942\nAnswer: -48118.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdjj when four letters picked without replacement from dddjdjdjddpp.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 371659637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56828 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 4. Let g be i(-12). Suppose 20 = -g*y + 6*y. Let p(n) = n + 6. Let x be p(y). Sort x, -2, 3.\nAnswer: x, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-150)\/8)*(-2 + -1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-2\/29)*w))\/(w\/w**(-4)))\/(w*w**(-2\/5))**38)\/(w*w**6*(w\/(w**(-5\/6)\/w))\/w*w*w\/(w**2\/w)*w**1) assuming w is positive.\nAnswer: w**(-33551\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/10 + 23 + -31.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/17, -20, 0, 2\/5 in ascending order.\nAnswer: -20, -2\/17, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.37317 rounded to two dps?\nAnswer: -8.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5087\nAnswer: -1\/5087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51717 is divided by 233.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27285?\nAnswer: 3, 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1177, 2368, 3559, 4750, 5941?\n\"Answer: 1191*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Let s = f + 0.9. Let r = -0.9 + s. Which is the second biggest value? (a) 5 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 10*k**2 + 12*k + 15. Suppose 0 = 10*y + 55*y + 715. What is g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = t - 4 + 9, -5*t + 17*c - 13 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3721416 or -3721422?\nAnswer: -3721422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165404 is divided by 919.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 505 = -565 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 - 214 + 33 - 715)*(0*w**2 - 3*w**2 + 2*w**2).\nAnswer: 978*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4)*9\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 44 + 3*t**3 - 49 + 0*t - 3*t + 96.\nAnswer: 3*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*c - 5, 0*c + 4*c = 2*k + 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-282)*(-17 - -19)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1 + (-196 - (1 - -4))). Let t = w - 101. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4, -k + j + 6 = -0*j. Let s(g) = 3 - 52 + 15 + 18 + 2*g. Let o be s(k). Which is the nearest to 0? (a) o (b) 4\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 19 = -8. Suppose -5*a = i - 89. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -13*r**4\/12 - 5*r**3\/3 - 14*r. What is the second derivative of s(a) wrt a?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6*t - 69 = 2*t, -25 = 5*t. Put 0, d, -5, -2 in decreasing order.\nAnswer: d, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (20 + -44 - -44 - (4 + 20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 10) to base 12.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 5*s - 3. Suppose j - 4 + 8 = 0. Let x be r(j). Let w(y) = y - 10. Let u be w(7). Sort u, 2, x in descending order.\nAnswer: 2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) - (-1 - -1). Let g(b) = 3*b + 2. Let k be 6\/(-4)*(-70)\/(-15). Let r(z) = -10*z - 7. Determine a*r(l) + k*g(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 11, b: 6}. Give prob of sequence sb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = 0, -3*b - 2*q = 10 + 4. Is 5765 + 9 + b + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t + 4. Let b be 3\/((-1 + 4)\/t). Let f = -3 + b. Is f less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 - n**2 - 2*n**2)*(5 - 2 - 2) - 18*n**2 + 10*n**2 + 9*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7291.503ml?\nAnswer: 7.291503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23310.7 + -23311. Let a = 10 - 16. Let d = 4 + a. What is the nearest to d in -0.1, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 681*o**5 + o**2 + 9573*o?\nAnswer: 13620*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1002?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 3. Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 + 25803625675255.\nAnswer: 25803625675253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28.59 times -0.167\nAnswer: -4.77453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45759*o + 6560*o + 11129*o.\nAnswer: 63448*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11499334941.72 + 5\nAnswer: -11499334936.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325 + 330. Let l = -0.236 + 11.236. What is the second smallest value in l, 5\/2, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/64 and 2429\/1536 - (-3 - (-486)\/108).\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)\/f*((f**(4\/19)\/f)\/f)\/f*f assuming f is positive.\nAnswer: f**(-83\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 times 35031?\nAnswer: 273241.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -207.\nAnswer: -207, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 93.937. Let j = -5.023 + n. Let s = j + -0.04. What is the nearest to -2 in s, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 smaller than 901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.464287 - -2.463. What is k rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 358\/(-162) + -2 + 4. Let v = 1\/81 - f. Find l such that -4\/9*l**2 + 2\/9*l**3 + v*l + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20034041 (base 5) to base 15.\nAnswer: 32016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43403799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583552 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-190)*80\/12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/14)\/((-47900)\/(-16765)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -0. Suppose b*j = -c - 3*c + 24, j - 3 = 2*c. Suppose 11 = -j*u - 4. Sort 1, 2, u.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77036336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -20. Is -1*2*(c - 4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*j - 4, -j - 5*i + 6 = -2*i. Solve -s - 4*h = -0*s - 19, j = 3*h - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8078*c - 21491 - 25161 = -7089*c + 40380 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpp when four letters picked without replacement from nvpvpnvvvnn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-3\/4))\/j)**46\/((j\/(j*j**(1\/5)*j))\/j)**41 assuming j is positive.\nAnswer: j**(1017\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 9:17 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 61 = 2*k. Let s = k + 71. Are s and -1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 614*q**2 - 27627*q - 135.\nAnswer: (q - 45)*(614*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*y - 88*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389.7 + -389.4. What is the fourth biggest value in -24\/5, 8\/5, m, 1?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.55477 or 0.1?\nAnswer: -17.55477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100792985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271746, -5, 5.\nAnswer: -271746, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416072513 divided by 881.\nAnswer: 472273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 260534235?\nAnswer: 260534236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6649 + -6616. Calculate the highest common factor of b and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1405669 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 42*u**2. Let c(k) = 15*k + 16. Calculate q(c(z)).\nAnswer: 9450*z**2 + 20160*z + 10752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 0 - 2 + 7*v - 7*v - 2*v**4 as q + w*v**2 + u*v**3 + i*v**4 + y*v and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10949 = 10793. Solve -f*k + 3*k = -108 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/16*5\/((-5)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-1)*n)\/n)**(-50)*(n**1)**(-2\/5))\/((n\/((n\/(((n\/(n\/(n\/n**(-2))))\/n)\/n)*n)\/n))\/n*n*n**(8\/7)*n)**3 assuming n is positive.\nAnswer: n**(-2094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46919.1*0.1.\nAnswer: -4691.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-18)*0)\/(-1). Let x(r) be the first derivative of 0*r**4 - 4\/3*r**3 + 0*r**2 + 4\/5*r**5 - 7 + g*r. What is the third derivative of x(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 + 1 = b, 5*b - 5*p - 25 = 0. Let l = b - 10. What is the third biggest value in 0.3, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:39 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = -k. Let q(y) = y**3 - 7*y**2 + 3*y + 34. Let a be q(6). Suppose -k*f - a = -4*p, 3*p + 2*f + 14 = 8*p. Solve s = -s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*t = -48, 0*y + 28*y - 14*t - 18 = 25*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mprppmmmmmprprgplmm. What is prob of picking 1 m and 3 p?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = w + 2*w, 0 = 5*z - w - 31. Let c(q) = -2*q. Let r be c(-1). Let s = z - r. Let p(f) = -f + 6. Let u(v) = v - 5. Determine s*p(o) + 6*u(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/7 - 4\/21. Let h(w) = w - 9. Let c be h(11). Sort s, c, 2\/5 in descending order.\nAnswer: c, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + h - 2*h - 20)*(1 + 3 - 3) as c + l*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10587*n + 20736. What is m(-2)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -3. Let p = -0.02 - 0.98. Let m be ((0 - 5) + 0)*-1. Which is the closest to u? (a) 4 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let x(m) = -4*m**2 + 5*m**b + m**2. Let u(h) = -9*h - 19*h - 20*h - 7*h - 7*h + 51*h. What is u(x(g))?\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 3*m - 8*m. Suppose -2 = n - 2*i + 1, n + 5*i - m = 0. What is the remainder when 95 is divided by 194\/6 + n*(-4)\/12?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12771 (base 12) to base 6\nAnswer: -313021","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1))*o*(o**3*o)\/o)\/((o\/(o*(o\/o**(-2))\/o*o)*o)\/(o*o\/(o**4*o))))**(32\/3) assuming o is positive.\nAnswer: o**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9054 and 30180.\nAnswer: 90540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -705136 (base 8) to base 9\nAnswer: -383251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4480034175?\nAnswer: 3, 5, 751, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171049, 171117, 171185, 171253, 171321, 171389?\nAnswer: 171457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - 5\/(-2). Let o be (4 - -1)*96\/20. Calculate the highest common factor of d and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from heehehxee.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 0*m + 15051 - 14913 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2697559*h**2 + 75*h + 18*h**3 - 19*h**3 - 2697559*h**2.\nAnswer: -h**3 + 75*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 15*m = y + 3, -5*y - 5*m = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.654 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 119*g. Let c(l) be the first derivative of -l**2\/2 - 9232. Give s(c(z)).\nAnswer: 2*z**2 + 119*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5735 and 42121281?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(-6)))\/p*p**(3\/2))\/(p*p*p\/p**(-1))**(-8)*(p*p**(-7)*(p\/p**(3\/2))\/p)\/(p\/((p\/(p**(-3)*p))\/p)*p\/(p\/(p**1\/p))) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 2. Let k = 11 + -11. Suppose 7 = -g - k*g. Let w(y) be the third derivative of -3*y**4\/8 + y**3\/3 - 2*y**2. What is g*r(v) + 6*w(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(-2)*(-2)\/(-2)). Let z(g) = 5*g**2 - g**a - 5*g**2 - 2*g**2. Let k(f) = 14*f**2 + f. What is z(k(w))?\nAnswer: -588*w**4 - 84*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-323261.\nAnswer: 6141959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2279526 = -6*t - 672474. Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w\/(w*w**1))\/w)**(2\/39)*(w*w**(-1)\/w)**(-14\/11) assuming w is positive.\nAnswer: w**(568\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 22*k - 4513 = 25*k, -5*k - 15 = 0. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23614370 by -2.\nAnswer: -11807185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -42348880.\nAnswer: -1\/4234888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 317, 625, 935, 1247, 1561, 1877?\n\"Answer: i**2 + 305*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*z + 32 = 0, -10392*z + 25 = -10387*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -11. Are 10 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 16*g + 72, 4*g = 5*b + 668155 - 668049 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.57 - -2.72. Let l = -8.336 + 8.5. Let a = o - l. Round a to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835.88 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15596312*r**2 - 10696528.\nAnswer: 31192624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533339.\nAnswer: 3, 17, 103, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Suppose -f*p + 5*p = 9. Suppose 5*m + 3*c - 17 = 2*c, 0 = -c - 3. Solve m*r - w = 12, -5*r - p*w - w = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(500)*1 + sqrt(500) + ((-2 + sqrt(500))*-5 - sqrt(500))))**2*-3.\nAnswer: -97452 + 10560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {l: 2, w: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5 = 59*r - 60*r, 4*r = s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-130) - (-276)\/(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 - 367. Let k = l + 118. Determine o, given that 2\/3*o**5 - 4\/3 + 8\/3*o**2 + 2\/3*o - 4\/3*o**k - 4\/3*o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -1656, -2475, -3294, -4113?\nAnswer: -4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67029364.85 rounded to the nearest 1000?\nAnswer: 67029000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 20*m**2 - 100*m + 1448. Determine x(12).\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 418? (a) 3 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 12*c - 34. Give x(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5604, -5644, -5684, -5724?\n\"Answer: -40*z - 5564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-276)\/(-207) - (-28)\/6. Calculate the highest common factor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(16\/40*50\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/11 - 26*j**4\/11 + 114*j**3\/11 - 18*j**2 + 108*j\/11 = 0.\nAnswer: 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 27 - k**2 - 20 + 2*k**2 - 5*k. Give x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2\/5 + 8444447*u\/5 + 1125926 = 0.\nAnswer: -2814815, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 20 + 22 + (3 + 1 - 2)*(5 - 3 + 0))*(-2*n + 5*n - n) in the form t + y*n and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 44 = -50. Suppose 2*w - l = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - 3*w**2 + 3*w - 1. What is c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 2*x + x - 28*x + 7*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290137850 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 16. Suppose 35 = 16*t - 11*t. Suppose t*a - 15*a - 56 = 0. What is h(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**5 - g**3 - g + 1. Let j(t) = -56*t**5 + 4*t**3 + 57*t - 4. Let l(d) = j(d) + 4*y(d). Find the second derivative of l(k) wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 190*a - 196*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. What is the common denominator of -13\/22 and ((-3)\/v)\/(81\/285)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 565610907 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34079058.\nAnswer: 2, 3, 13, 145637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110520 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -946 at least -1125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/73, -5, 3, -24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -205 + 207. Let l(b) = 2*b - 5*b**3 - 2882*b**2 + 2 + 2878*b**w + 8*b**3. Determine l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 9 - 14) + 12 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 9:09 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 31828\/11 - (3939\/(-143) - -27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 2630225.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7495817*l**2*q**3 + 110*q**3 + 194*q**2 + 2*q + 1 with respect to l.\nAnswer: -14991634*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(336) + sqrt(336)*1)*5)\/sqrt(12))\/((-3*sqrt(28)*6 + sqrt(28))\/sqrt(7)))**2.\nAnswer: 700\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s**8)\/(s**0)**(8\/11) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180821513*q**4 + 30824*q + 6987?\nAnswer: -2169858156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 948839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/11 (b) 23 (c) -59 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 12:59 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 105*b - 366*b + 152*b to the form g + s*b and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1. Let u(n) = -56*n - 14. Let v(x) = 65*x + 16. Let c(r) = -7*u(r) - 6*v(r). Let d = 0 - 0. Let g = d + 1. Give g*c(i) + 5*k(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.031 + 1.969. What is the nearest to c in -0.3, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 216 (b) 3\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g - 2*g)*(10*g - 26*g + 11*g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-52)\/(-12) + 0. Suppose -7*n + 3 = -d. What is the lowest common multiple of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12563 = -28*x - 13599 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1224320 (base 5) to base 2\nAnswer: 101110010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 512 and 1208?\nAnswer: 77312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 2, v: 7}. Give prob of sequence vj.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n\/(n*n*n**(-2)\/n))**(45\/4)*(n**(-6)*n*n**(6\/11)*n)\/(n**(-1\/2))**(-20) assuming n is positive.\nAnswer: n**(299\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 4\/(-8)*-12. Solve -p*q - 1 = 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/15*4056\/(-20). Let s be (k\/(-10) - -1) + (-34)\/(-85). What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v - 635. Let n be i(-58). Let l(g) = -g**2. Let x(a) = -5*a**2 - 4*a - 1. Let z(h) = 6*l(h) - x(h). Give z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, -69, -463, -1015, -1719, -2569?\nAnswer: -3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g - 3. Suppose -7*v = -2 - 19. Suppose 0*a = v*a + 6. Calculate w(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from aaraaarraa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, b: 1}. Give prob of picking 1 b and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7681181 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*j - 4 - 10, -p + j - 1 = 0. Sort 0.3, 10, p in descending order.\nAnswer: 10, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 540 - 256. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -23. Suppose 10*p - 1 = -30*p - 81. Sort 4, d, p in decreasing order.\nAnswer: 4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 5*v + 4*r, -9*v + 3*r = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13 (b) -4 (c) -34\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 34 + 30 + -30 + 12 + 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 26 = 2*s, 8*n - 5*n = -5*s + 89. Let t = 67 + -36. What is the remainder when t is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40\/3 - 317\/24. Which is the closest to -2? (a) j (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -2998202\nAnswer: 14\/1499101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 11*j + 2688 = 0. Find the third derivative of -195*v**6 + j*v**6 - 2*v**2 - 5*v**2 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35313.75 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 48*h**2 + 7*h + 18. Is 42 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 9*m**4\/4 - 5*m**3\/3 + 4*m + 3486. Let k(z) = 19*z**3 - 11*z**2 + 9. What is 4*k(b) - 9*n(b)?\nAnswer: -5*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/3 - 8*y**2 + 128*y\/3 = 0.\nAnswer: 0, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.29 days to microseconds.\nAnswer: 45471456000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145.4 and -5?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 18 = u. What is the remainder when u is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -444298101 + 1?\nAnswer: -444298100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, 9\/26, 5, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041891467 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7 = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24565.5 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 822 = -0*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119\/99 - -12\/11. Let t = -0.248 - 0.052. What is the second smallest value in k, t, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -5*c + 17. Let d(t) = 2*t**2 + 3*t - 2. Let q be d(-2). Let z = q - c. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 163*g - 2 - 90*g + 84*g.\nAnswer: -169*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*u**2 + 9*u**2 + 54*u + 16*u**2 + 12*u**2 in the form a + w*u**2 + n*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1365)\/12*120\/(-75). Solve -33*v = u - 50 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55 + -43 + -5361 + -6 + 1. Which is smaller: -16066\/3 or a?\nAnswer: -16066\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*d + 291 - 345, 88 = -3*d + 4*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, 9, -2.1, 22, 0.3, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 40128?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 8. Suppose -4*b + 4 = -3*z, -1 = -3*b + v*z + 9. Let q be (b - -2 - (-2 + -1)) + -2. Sort -7, 4, 3, q in descending order.\nAnswer: 4, 3, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 41 + 5)*(-4*c + 4*c + c**2)*(-c**2 + 3*c**2 - 6*c**2).\nAnswer: -344*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h**3 + h**2 + h + 0*h - h**3. Let q = -152 - -153. Let t(i) = i + 8. Let v be t(-10). Let d(n) = -3*n**3 + 4*n**2 + 3*n. Give q*d(a) + v*p(a).\nAnswer: -a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -368923 to the nearest 1000.\nAnswer: -369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 3 - -1)*16. Find h such that 121 + 572 - 2*h**2 + 4*h**2 + 459 + a*h = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101.71 - 101. Let w = s + -0.34. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(2) + -2)**2 - (-2 + (sqrt(32) - sqrt(32)*2))) + (sqrt(16)\/(sqrt(8)*-3) - 2*(sqrt(6)\/sqrt(3) + sqrt(2)))**2.\nAnswer: -12*sqrt(2) + 680\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539.93 - 540. What is the fourth smallest value in -0.2, 1\/10, r, -15?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:47 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 16 = 0, 16*p = 14*p + 4*q + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4204266.\nAnswer: 2, 3, 11, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*m = -195. Suppose 5*y + m + 314 = 2*f, 3*f - 750 = 3*y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.033, 6\/7, -4, 2\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14177 + 26818. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 1. Let m be (u*5)\/((-3)\/(-30)). Let a = -30 + m. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -77?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, o: 4, b: 2, u: 1}. Give prob of picking 1 u, 1 o, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (372\/7)\/(((-72)\/(-42))\/12). Suppose -5*h - 831 = -u + 246, -868 = 4*h - 4*u. Let i = h + t. Is i a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 337.455 - 262.3. Let q = f + -75. What is q rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bfbc9 + 4?\nAnswer: -2bfbc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {a: 1, v: 1, b: 1, j: 1, d: 2, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 15*m - 579. Factor m*v**2 + 107*v - 6*v**3 + 140 + 53*v + 11*v**3.\nAnswer: 5*(v + 2)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516 (base 8) to base 13.\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 5*y + 4. Let a(g) = -6*g**3 - 4*g - 3. Calculate 6*a(d) + 5*p(d).\nAnswer: -d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 701*o + 1132. What is z(-2)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19901264 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: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 209306\nAnswer: 209306.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 8*c + 4. Let m be 2\/(-10) + 3\/15. Suppose -z + 8 + 0 = m. Let q be l(z). Solve -q*y + 0*b = -b + 23, -3*y = -4*b + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048306615582 take away -1.013?\nAnswer: 0.964693384418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2. Suppose 0 = 4*c - 2*c. Let f = -4 - -6. Let v(y) = c*y**2 + f*y - y**2 - 2*y. Calculate g(v(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242825 and 3234?\nAnswer: 71390550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -876\/1111 + -3\/101. Is 0 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((2 + sqrt(153))*5)**2 - ((sqrt(119)*1)\/sqrt(7) + (sqrt(17) + sqrt(425))*2)) + 5)*6.\nAnswer: 1722*sqrt(17) + 23556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:14 PM?\nAnswer: 199","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 7035 != 7038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*5*sqrt(1575))**2)*-3*6.\nAnswer: -6378822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 + 3791 = 8*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Let y be f\/(-6) + (-1)\/(-3). What is the lowest common multiple of 12 and (-7 + y\/3)*-2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(14) + sqrt(56)))\/sqrt(2).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*b = -112*b + 79*b + 3180 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 30 = 23*l. Is (423\/(-5))\/(l\/15) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = b - 24, -2*b + 170 - 17 = -5*x. Solve c = -w + b - 65, -w + 2*c = -9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 82 (b) 5 (c) 0.2 (d) -5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*t - 119*x - 412 = -1700*t, 32 = -7*t + 6*t - x - 3*x for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = -2. Let p = o + 7. Solve 3*g + 15 = 4*r, -2*r + 1 + 0 = p*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose -t*a - 30 = -7*a. Let w(i) = -2*i - 2. What is the remainder when w(-10) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-189)\/476)\/3 + -3. Let l = 13\/4 + y. Which is bigger: l or -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -9595, -9\/5 in ascending order.\nAnswer: -9595, -5, -9\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621 and 445947.\nAnswer: 4013523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-55)\/15)*3. Sort 103, 0, y, 5.\nAnswer: 0, y, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, 27, -5, 220, -9 in ascending order.\nAnswer: -9, -5, 4, 27, 46, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 15. Suppose 3*x + 5*w + 28 = 7, 0 = -2*x - 3*w - 15. Calculate o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1338\/(-6244)*4*5*21\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/13 and (-1309)\/1820 - (-6)\/180*-9.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54100854 and 1692?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 215472 and -1.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 4*a = 5*r - 228921, -2*r = -3*a - 91568. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398072 divided by 699036.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.2. Let x = 86.41 + -86.51. What is the closest to x in 3, s, 34?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 4. Let z(f) = -17*f + 37. Let g(h) = 12*h - 20. Let d(c) = -5*g(c) - 3*z(c). Determine 8*b(x) + 3*d(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 210691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 - 786. Let s be d(0). Let m = 1670 + s. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 3*i)*(-9*i + i + 2*i)*(12*i + 67*i + 28*i + (-3*i + 2*i - 2*i)*(-3 + 0 + 2)).\nAnswer: -660*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 4.95063?\nAnswer: 24.75315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7)*((t*t**(-2\/3))\/t)\/t*t)**(33\/2) assuming t is positive.\nAnswer: t**(-121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 67*b + 5087. What is m(-76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30259084 or 30259086?\nAnswer: 30259084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11056883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6462966m in nanometers?\nAnswer: 646296600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 524929 + 21?\nAnswer: 52494a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8801988 at most as big as -8801986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30 and 4 + -5 + (-32)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14296 and 14296 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = -j + 2*a + 1, 0 = j + 2*a - 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -35*t**4 - 3*t - 3. Let l(a) = 34*a**4 + 3*a + 2. Let d(q) = 3*l(q) + 2*m(q). What is the second derivative of d(j) wrt j?\nAnswer: 384*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6826 + -16?\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221648476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*p**5 - 95545*p**4 - 526470*p**2 - 3*p - 30 wrt p.\nAnswer: -3060*p**2 - 2293080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - 7*h + 8. Let p be ((-252)\/56)\/((-3)\/8). Suppose 49 = p*d + 13. Calculate q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-9)\/10*15\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 + 3*f**2\/2 - 7*f. Let d = -5 - -9. Suppose -d*v = -2*t, 3*v = -v. Give x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-1560))\/(6\/156).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359548 - -565206. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 - (1 - (40 - 8 - 14) - 13).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*j**3 - 110465*j**2 + 110465*j**2.\nAnswer: -190*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -7. Let q(t) = -5*t + 9. Let s be q(x). Suppose -m + 3*m = -5*n + 7, 2*n + s = 4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187307*p**2 - 76*p**3 - 187307*p**2.\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129000 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.539999341 + 13.54. Round y to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 4*v, 5*o - 10 = 2*v + 2. Suppose -n + v = 0, 0*k - 4*k + 4*n + 5320 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 32 (b) -2\/9 (c) 3\/7 (d) 3\/10 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*c = c + 2, 0 = -3*h - 5*c - 9. Let d(s) = -s**3 - 3*s - 5 - s**2 + s**h + 8*s**2. What is the tens digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22203 (base 4) to base 15\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 42*w**4 + 198*w**3 + 312*w**2 + 213*w + 54.\nAnswer: -3*(w - 18)*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.16. Let r = 0.26 - w. Let j = 23.9 + -24.1. Which is the closest to 1? (a) j (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 6. Suppose -5 - 1 = k*u, b - u = 7. Calculate the lowest common multiple of b and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43886 divided by -130\nAnswer: -21943\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q - 0. Find the third derivative of 3*r**2 - 3*r**3 - 4*r**2 + 2*r**3 + q*r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140.4 - 140.44193. Round h to 3 dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h - 18*h - 3623190 = 192*h. Round h to the nearest one hundred.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + t = -18*g - 37, -4*t = -3*g + 48. Calculate the least common multiple of g and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + -14.43714273?\nAnswer: -87.43714273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(-75075)*(-418)\/(-76)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -5, 786 in decreasing order.\nAnswer: 786, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(132))\/((-1*sqrt(84))\/sqrt(7)).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let z(g) = -452*g**2 + 2. What is z(s(a))?\nAnswer: -452*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169578 and 28263?\nAnswer: 169578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 33. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/4 - 804067*i\/4 = 0 for i.\nAnswer: -804067, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 11*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.924 + 0.076. Let t = 36 - x. Let i = -17.9 + 20.9. What is the third biggest value in i, t, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346364 bigger than 30133744\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {t: 4, s: 2, e: 1, v: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 30*a. Let w be j(9). Suppose 5*o - 5*k = w, 0 = o - k + 3*k - 69. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/x**(-2\/7)))**(-16)\/(x*x**(1\/7)*x*x*x**(-3))*((x\/((x*x*x*x**0\/x)\/x*x))**44)**(-2\/21) assuming x is positive.\nAnswer: x**(181\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39357166?\nAnswer: 2, 31, 634793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19691.43nm to centimeters.\nAnswer: 0.001969143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2*l**3 + 4*l**3 - 35*l**2.\nAnswer: 5*l**3 - 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t + 60. Give q(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -84*w**2 + 5*w - 5. Let v be b(1). Let a = v - -223. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.01, 55.2, 6, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9077 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6631038\/95 + (-2)\/5. Suppose 3*m = 2*m - b. Round m to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -d - 1, 5*d + 23394 = -3*p + 23389 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 11*r + 70392 = 0. Let c = r + -1182. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30048465 divided by 119715.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 790*y + 2*y**3 - 724*y + 1445*y + y**3 in the form d*y**2 + o + p*y + g*y**3 and give p.\nAnswer: 1511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/5 + 336464*t\/5 + 7075501456\/5 = 0. Calculate t.\nAnswer: -42058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 = c, 4*r + r = 4*c - 6. What is the common denominator of (-408)\/320*(-8)\/6 and r + (1 - 92\/18)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1709334 divided by 22.\nAnswer: 77697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -988.7 + 987. Is n greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567)*-1 + sqrt(567))*-3 + sqrt(567))\/sqrt(9))\/(-4*(sqrt(4356) + sqrt(4356)*1 + sqrt(4356))))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:12 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*d**2*g**5 + 25*d**2*g + 2*d*g**2 - 2*g**5 wrt g?\nAnswer: -4500*d**2*g**2 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -96. What is the units digit of ((-9)\/(-12))\/(1\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aanan?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/((-5800)\/87))\/(3\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399289 is divided by 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let x = w + 1.6. Let d = 232375.9 + -232376. What is the third biggest value in 2, d, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - 3*l + 2. Let q be z(-2). Let u(w) = w - 19 + 3 - 4*w + 1. Let n be u(q). Which is smaller: n or -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 8, -5*s - 4*w - 3 = -34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21664834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-3))\/((-8)\/(-32)). Let d be (w - 4) + 3\/1. Suppose -5*t - 5 = 0, d*t - 58 = -2*s + 5*t. What is the remainder when 55 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 55*w**2 + 1057*w - 712. Give p(-20).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 1, w: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/3)\/(-1080))\/((-2)\/16)*3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 505, 506, 507, 508, 509?\n\"Answer: a + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from {g: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**3 - 12*o**2 - 29*o + 66. Let i(j) = -j**3 - j**2 + j - 1. Let n(r) = -5*i(r) - t(r). What is the remainder when 186 is divided by n(18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 - 4*w - 2. Let c(t) = 3*t**3 - 3*t**2 + 11*t + 5. Suppose 84 = -31*z - 40. Calculate z*c(g) - 11*x(g).\nAnswer: -g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 4) to base 11.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-4)*4720\/(-30)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -95, 5.\nAnswer: -95, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18712 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92.9943 - -93. What is i rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1226 - 1386 = -80*r. Determine q so that -10\/13*q**r - 8\/13 - 2\/13*q**3 - 16\/13*q = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 9 - (-6 + 8). Let n = p - -21. Suppose -u - 20 = -6*u. Calculate the remainder when n is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 0 = -28. Find the third derivative of -r**2 + r**4 + 8*r**2 + 0*r**2 - u*r**4 wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - 56?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 - (11 - 5)) - (-19 - -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/80 and 3\/260.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**2 - 564*h - 406. What is t(-62)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -82680000 to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -3542?\nAnswer: -1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 20)*(2*u + u - 4*u)*(407 - 62*u**2 - 407).\nAnswer: -1240*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -301, -2101, 4\/5, 30?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15 + 45. Let w = a - -6. Suppose 4*h - 21 = 7*z - 2*z, w = -4*z + 5*h - 24. What is the closest to -1 in z, 2\/5, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -51, -75, -107, -147?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 3272127?\nAnswer: 785310480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 8*j - 48. Let p(t) = -t**3 - 13*t**2 - 12*t + 28. Does 14 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 32 - 2*k**2 + 26)*(29 + 13 - 16)*(2*k + 13 - 13).\nAnswer: -104*k**3 + 1612*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i. Let a(u) = u**2 - 4. Let h(b) = b**2 - 4. Let v(j) = 4*a(j) - 3*h(j). Let t(l) be the first derivative of v(l). What is k(t(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j - 1. Let v be 2\/(32\/(-20))*4. What is the remainder when q(v) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/60 and (((-248)\/(-240))\/(-31))\/((-40)\/(-1815)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 4*h, -5*h + 9 = -2*d - 3. Let q(t) = t + 2. Let u be q(8). Solve d*p - u = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -2 - -3 - (-1627 - -1587)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (7 - 12) + (0 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -217751*o. Let m(a) = -5*a. What is k(m(h))?\nAnswer: 1088755*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18322 + 18325. Let u(f) be the third derivative of -15\/8*f**4 + 0*f + 1\/12*f**5 + 20\/3*f**l + 0 - 21*f**2. Solve u(b) = 0 for b.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*i - 151*i - 12 = 0. Let r be 7 + (-246)\/36 - (-2)\/i. Let h = -15.36 + 0.36. Put h, 2, 3\/4, r in ascending order.\nAnswer: h, r, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:26 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 34.44. Let v = m + 0.51. Let p = -4.95 + v. Which is the closest to -2? (a) 0 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:48 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*sqrt(378) - sqrt(378) - sqrt(378))\/sqrt(6))**2.\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 9:18 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:33 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00138562 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 884\/(-572) + 19\/(-11) + 2. Are -29 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.36 * 41.31\nAnswer: 593.2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let f(a) = a + a**3 - 174*a**2 + 0*a + 173*a**2 + 3. Let b be f(w). Solve -4*j + t + 6 = 0, -b*j + 2 = t + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 16 = -1, -14*o - 2*r + 3*r + 0*r + 219 = 0 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 399 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 + 39*o + 28. Let s be f(-3). Solve -t - s = -4*u, -u + 13 = 4*t + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -190.4.\nAnswer: -198.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + 5)\/(-4) - 27. Is a less than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.85 - -0.8. Suppose -4 = 4*z - 6*z. Suppose -4*t = 8, 3*t - 4 = 7*l - z*l. Which is the smallest value? (a) l (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 941253150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 2811996?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 5*k - 6*k)*(-1 + 3 - 3)*(25 + 11 + 62).\nAnswer: -294*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -14. Let n = v - 13. Let p = 22\/7 + -52\/21. Put p, n, 5 in increasing order.\nAnswer: n, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1610 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111010001011010111100 (base 2) in base 8?\nAnswer: 27213274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:17 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shaa when four letters picked without replacement from skashkhhaqkk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -70. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 2*l - 2 - 8*l. Let z = 99 - 100. What is the units digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*h**2 - 20*h + 961*h**2 + 5*h.\nAnswer: 656*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17301021*l**3 - 25633948*l**2.\nAnswer: -103806126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 1000?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106935145 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (3 - 4 - -1) - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10377, 3, 76 in descending order.\nAnswer: 76, 3, -10377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*s + 9 = -13, s = 4*v + 44. Let o = 17 + v. Suppose 2*n = n + 4. Solve 3*a = 5*y - 9, -y - n*a - 12 = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -g + 101, -g - 137 = -5*h + 9*h. Let s be (-1 - -1)*17\/h. Solve 4*d + 0*d + 4 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**8\/3360 - 7*l**6\/240 + l**5\/3 + 19*l**2. Let t(s) be the third derivative of q(s). Differentiate t(p) with respect to p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**2 + 35*h + 26. Let g(n) = -7*n**2 - 12*n - 9. Let a(i) = 6*c(i) + 17*g(i). Let f be a(-7). Let p be 4\/f - 4\/10. Solve w - 3*w + 6 = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 312 = 2*v. What is the remainder when 238 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 31*k - 237. Suppose 66 = 3*m - 2*w, 0 = 3*m - 10*w + 15*w - 24. What is n(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -146?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(1 - 1 - -1). Solve 3*y = 3*z - 12, 2*z + b = -2*y + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiikiiii. Give prob of picking 1 i and 2 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 + 11 = 0. Suppose m*i = 2*i + 24. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 0*k - 5*k + 20. Suppose 0 = -2*a + 2*m + 26, 2*a + 2 = -3*m + 8. What is the remainder when r(a) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.3584nm in centimeters?\nAnswer: 0.00006193584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001538 to seven decimal places.\nAnswer: 0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 1, m: 1, s: 4}. What is prob of picking 2 s, 1 c, and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -14. Is (-2)\/(g*(-4)\/(-484)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866832 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*m**5 - m**4 + 672956*m**3 - 19374*m - 1051?\nAnswer: 220*m**3 - 12*m**2 + 4037736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 110. Suppose -2*d = 5*h - h - q, -h + 2*d = -8. Let o(a) = -4*a + 50. Calculate the least common multiple of o(7) and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/(-6))\/(200\/900).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1221\/955 + -15\/191. What is the nearest to x in 1\/2, -1, 21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 3*j - 21. Let y(x) = -x**2 + 2*x - 14. Determine 5*t(k) - 7*y(k).\nAnswer: 2*k**2 + k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - c + 1 + (3 - 3 - 1)*(c + 0 + 0))*(-c**2 - 4*c**2 + 2*c**2 + (-2*c + 0*c + c)*(290 + 8*c - 290)) to d*c + l*c**2 + a + w*c**3 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, 29, 125, 255, 431, 665, 969, 1355?\n\"Answer: 2*m**3 - m**2 + 63*m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -g - 3*g. Let v be (-4)\/(-6) - g\/(-27). Let a(q) = 3 - 7 + 7*q**v - 7*q - 9*q**2. Give a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -74. Let c = h + 62. Suppose -4 = t + 3*x, 4*t = -3*x + x + 4. Is t > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728738?\nAnswer: 2, 3, 11, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.017 - 13.983. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 60 + 0 = 0. Suppose -4*h - 11 - 25 = 0. Let c = h - s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, q: 12}. Give prob of picking 2 q.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fb + -174d?\nAnswer: -1c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-20))\/((-2)\/(-20)). Let b(l) = l**2 - 4*l - 7. Calculate the remainder when b(-5) is divided by ((-2)\/(-3))\/(a\/(-78)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w - 483 = -3*d - 47*w, 644 = 4*d + w. What is the remainder when 635 is divided by d?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233 (base 7) in base 8?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - -2) + (-60)\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 17 = -t - 0*t, -4*t - 37 = 5*v. Let q(c) = 2*c**2 + 5*c + 3. Let n be q(t). Suppose -4*k + 14 = -2*k. Which is bigger: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4011 (base 7) to base 16\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 - 5 + 71*n**2 + 44*n**2 + 182*n**2 to d*n**2 + m*n + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -29, 5, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 507053950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/4 - 4) + 581. Suppose -l = 4*y - 2*l - b, -4*y - 2*l = -584. What is the remainder when y is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - g - 3*g + 4 + (-2 + 1 + 2)*(0 + 3*g + 0) - g + 4*g - 5*g - 5*g + 2 - g + 4*g to the form t*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.7066, 0.07, 2\/3, 3, 2\/65?\nAnswer: 0.7066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4111062 to the nearest integer?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -128*w + 337. Calculate g(6).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/((-4745)\/(-650)))\/(((-2)\/(-5))\/(-1))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from {m: 2, i: 8, r: 5, y: 4}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 5*q, -4*q = 4*j - 0 - 4. Solve j*u + 1 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssjjsjjssjjs?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1603416 + 23?\nAnswer: -1603363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 173, 281, 423, 611, 857?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 14*m**2 + 13*m - 2. Let n be f(-13). Let i be 1\/((3 - 3) + -1). Let j be i\/(-2)*(-9 + 10). Put j, 5, n in decreasing order.\nAnswer: 5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7261 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79817 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/916 and -49\/24?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.0903 millilitres in litres?\nAnswer: 0.1310903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 19. What is c(17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14996 + 2*o + 6686 - 18711 - 13034 + 7698.\nAnswer: 2*o - 32357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 95*n + 90 - 5\/3*n**3 - 45*n**2. Determine d, given that k(d) = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (1 - 1) + 14 + -28 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 10*b + 40 = 0. Suppose b = 4*w - 2. Let c be -4 + w + -3 - -4. Solve c = -4*p + 3*h - 8*h - 10, -2*p = -h + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-122141.969.\nAnswer: -2442.83938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3\/2 (c) 3 (d) -10.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/20 - 253\/(-1380)*-24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157868 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -1 - (-8 - (2 - 6)). Suppose -r - 10 = 3*s, 3*y + s = 593. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13523, 22066, 30609, 39152, 47695, 56238?\nAnswer: 64781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 5*d**2 + 30983 + d**2 + 6*d**2 + 7*d**2 - 11*d**2. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -66*l - 2. Let v(j) = 22*j + 1. Let c(a) = 4*f(a) + 11*v(a). Let z be c(10). Find the common denominator of -89\/8 and z\/20 - 1\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/55 + 47\/((-18095)\/(-70)). Sort m, 1.3, 0.06 in ascending order.\nAnswer: 0.06, m, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 7 - 25 + 2*c)*(2 - 5 + 1)*(0*c**4 - 2*c**4 + 0*c**4).\nAnswer: 4*c**5 - 128*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/5 of a day?\nAnswer: 14976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r - r + 3*r)*(3*r + r**2 - 3*r) + 4*r**3 - 4*r**3 + 4*r**3 to the form l*r**3 + f*r + a + v*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1100) - (0 + sqrt(1100) + -4 - sqrt(1100))) + ((sqrt(1100) - ((sqrt(1100) + -3)*6 - sqrt(1100))) + sqrt(1100) - sqrt(1100)) + 3)**2.\nAnswer: -3000*sqrt(11) + 21050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + (5 - 5 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5, 0.2, 46, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {b: 1, o: 1, d: 1, j: 1, x: 1, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/40 - 9\/8. Let z(h) = 2*h - 11. Let n be z(5). What is the nearest to p in -3, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 5*h = 33, -g + h + 7 = 0. Sort -4, g, -1 in increasing order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510797838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -1663\/9. What is the third biggest value in 1, f, 0, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32406499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)*v)**(-9)*(v*v**8)\/v**(-4) assuming v is positive.\nAnswer: v**(34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + -1 + sqrt(432) + 4 + 4.\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-7\/3))\/(p**(6\/7)*p))\/((p**7\/p)\/(p\/(p*p\/(p\/(p\/(p\/(p*p**(-2\/3)))))))))\/((p**(-1\/2))**30\/(p**(-6)\/(p*p**(-5)))) assuming p is positive.\nAnswer: p**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.56124 millilitres to litres.\nAnswer: 0.05656124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 r when three letters picked without replacement from ririyiryyyrrwyi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 197 - 192. Let f = 2.1 - 0.1. What is the third smallest value in 0.1, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 863*h**7\/70 - 592*h**5\/15 - 360*h**2 + h - 2. Find the third derivative of u(k) wrt k.\nAnswer: 62136*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2dac5c (base 14) to base 10.\nAnswer: -1604930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -308.6, -2\/15, -0.063, -0.1?\nAnswer: -308.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:20 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 909 + -905. Suppose 15 = -s + b*s - 3*u, -5*u + 15 = 3*s. Sort 1, s, 16 in decreasing order.\nAnswer: 16, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.57 - -1.57. Let f = g + -3. What is the closest to -1\/5 in f, -4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 528*j + 61 = -533*j, 2*m + 44 = -4*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**18\/w**(7\/2) assuming w is positive.\nAnswer: w**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 123*q**2 - 1326*q - 121. Determine p(11).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*v**4 - 555912*v**2 - 133758339*v?\nAnswer: -444*v**2 - 1111824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 10*z - 2 = 0. Let l be 5 - (-4 + 2 + z). Suppose 0 = l*q - 559 + 39. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-122*j**4 + 260*j**4 - 216*j**4)*(-5*j + 2*j - j).\nAnswer: 312*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402 and 42?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 2450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/4 - 11*g**3\/4 + 19*g**2\/2 - 13*g + 6 = 0. Calculate g.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4 and 69\/496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/40 and -103\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222 - 604 + 212)*(-3*o - o + 0*o).\nAnswer: 2456*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 679 - 843 + 990 - 826 + w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u - 25, 518*u + 42 = 3*m + 515*u. Solve -m*d + 252 = 50*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 3. Suppose -4*y = 7811 - 28871. Suppose -8835 - y = -m*c. Round c to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/348 and 43\/435?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 1)*8\/32. Suppose 12 = 5*o + 2. Differentiate 3 - a**2 - y + 3 + 7*a**o with respect to a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.4159s in microseconds?\nAnswer: 396415900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 587929 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755818 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1\/(-3)*21\/(-133)). Let l(g) = -2*g + 33. Let d be l(c). Let s(p) = p**3 + 7*p**2 + 7*p + 5. Is s(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Let i = 2720 + -1820. Let l = i + -900. Solve 3*w - 4*o - 16 = 0, l = -m*w + 3*o - 4*o + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1.3, 0.09, 3\/7, 97.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + 29*y**2 + 23*y + 43. Let q(v) = -5*v**3 - 31*v**2 - 22*v - 43. Let d(z) = -3*h(z) - 2*q(z). Give d(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimim. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 26, 0.0248, -19\/4.\nAnswer: -19\/4, -0.01, 0.0248, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(275)*4 + 1))**2 + ((2 + sqrt(275) + 2)**2 - (sqrt(275) - sqrt(275)*-1)**2*6))*2.\nAnswer: 2080*sqrt(11) + 207432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 552375396 a multiple of 2538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*((-2*q + 2*q - 3*q**2)*(-2*q - q + q) + 2*q**2 - 2*q**3 - 2*q**2)*(-2 + 1 - 2)*(-3 + 4 + 0).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 146 - 36 = 0. Suppose -3*g + o = 13. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 678 + 24*d - 24*d - 3*d**4 + 24*d**2 - 672 in the form o*d**3 + m*d**2 + w + p*d + j*d**4 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*u)*(17*u + 341 - 341).\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 485636\/208131 - -1\/69377. Suppose -4\/9 - m*o**2 + 25\/9*o**4 - 20\/9*o**3 + 20\/9*o = 0. What is o?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 15 + 161. Solve -3*v = -4*p + r, -5*v + 4*p - 24 = -0*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -251 + 746 - 250 - 85*m - 240 in the form z*m + p and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -39085.\nAnswer: 3\/39085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -395916.22 rounded to the nearest one hundred?\nAnswer: -395900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -89. Let z(b) = -b + 4. Let t be z(-8). Let m(l) = 2*l**2 + 3*l + 2. Let x be m(-2). Solve c*q + x*q + t = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -22 (c) -0.2 (d) 2 (e) 4 (f) -185 (g) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56459 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 2*k + 3. Let w be 5\/5 + -2 + 1. Let u be f(w). Suppose u*z = -4*d + 96, z - 2*d - 32 = -0*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 16 a factor of 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17199, -17194, -17177, -17142, -17083, -16994?\nAnswer: -16869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 11*i + 10*i + 15*i**3.\nAnswer: 18*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide -1 + (-213)\/2*32\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 9*k + 83. Put 3, 1, k in increasing order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 3\/2, -0.1, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -20 + 7. Let r = h + -80. Is -68 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((-1*(sqrt(75) - (sqrt(75) + -1*(sqrt(75) + 1))))**2 + (0 + (0 + sqrt(75) - sqrt(75))**2)*-1 + 2).\nAnswer: -156 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-78)\/(-36) + 1\/(-6))\/1. Sort 3, f, -159 in descending order.\nAnswer: 3, f, -159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 93*s + 6. Let n(c) = 32*c + 19. Determine n(v(z)).\nAnswer: 2976*z + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-45) + 190\/(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31596 is divided by 200.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.239*-381.\nAnswer: 91.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 8*z. Let h(r) be the first derivative of -1\/6*r**4 - 2\/9*r**3 + z*r + 0*r**2 - 2. Determine s so that h(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 147 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6.8. Let q = l - 1.2. Suppose -5*g - 5 = 20. Sort 1, q, g in decreasing order.\nAnswer: 1, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.4. Let v = -0.3 + j. Let g = -11 + 12. Which is the nearest to -1? (a) v (b) g (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28145584, -28145569, -28145554?\n\"Answer: 15*d - 28145599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.3, -6, -376, 1, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454 (base 10) to base 4.\nAnswer: 13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 9309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -502287.265?\nAnswer: -502285.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3361992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2123506 divided by 303358\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = -10230. Let w = 7815 + z. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6544.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885842*f + 295280*f + 295283*f + 295278*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*y + 24, -2*n - 3*y - 21 = -5*n. Suppose s - 9 = 3*s - h, -n*s = h + 1. Calculate the common denominator of s + 174\/(-8) - -2 and -97\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*t + 17*t + 21*t + (-2 + 1 - 1)*(76 - 36 + 77)*(-t + 0*t + 0*t).\nAnswer: 256*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 12*t + 342 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = 34*r - 512. What is the highest common factor of 841 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 - 4701\/(-27)) + 1\/(-9) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3, 3*b + 5*h + 49 + 50 = 0. What is the units digit of (-16 + 1)\/(6\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let q(d) = 10585*d - 10585*d - 459*d**2. Calculate x(q(n)).\nAnswer: 210681*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 16*u + 216. Let r be d(-26). What is r rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by -911.\nAnswer: -340\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 287762622?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2872.\nAnswer: 861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(1 - 0)*6\/12. Let q = 94 - 52. Find the second derivative of -q*c + 5*c**2 + 6*c - 17*c**5 - k*c**2 wrt c.\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7229, 14375, 21401, 28247, 34853?\n\"Answer: -10*u**3 + 7216*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54428?\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 - (-53 - 61479946). What is u rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -20, 0.4, -1\/136?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2 + a + 1. Let x(l) be the second derivative of l**5\/10 + l**4\/12 - 3*l**2\/2 - 405*l. Let z = 3 - 4. What is z*x(f) - 3*n(f)?\nAnswer: f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*y - 8 - 196 = 1919 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 6060?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*d**2*m**5 + 3539*d**2*m - 4*m**5 + 2*m**2 wrt m?\nAnswer: 19440*d**2*m**2 - 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 16*i + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, r: 1, a: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*s + 147*s + 1005*s + 759*s + 300*s.\nAnswer: 2452*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:58 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.09, -1\/6, 1\/4, -0.3, 8845?\nAnswer: 8845","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:36 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t + 2. Suppose -6 = -3*f - 21. Let l be x(f). Suppose -4*p + l - 18 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4100*q + 45098. Determine s(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -1931, -4282, -7563, -11768, -16891, -22926, -29867?\nAnswer: -37708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2055287604 divided by 4.\nAnswer: 513821901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -7 - -3 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9522 - 8622. Calculate the lowest common multiple of 825 and c.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.08984 decades to months.\nAnswer: 10210.7808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 + 62*l - 141. Determine t(-18).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -213133000?\nAnswer: 213132442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-4)\/4 + -1). Suppose 0*g = 2*n + 5*g + 48, -g - 2 = k. What are the prime factors of ((n*12)\/4)\/(-1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/21204 and 51\/20.\nAnswer: 106020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 29 - 2*b + 13*b + 3*b**2 + 0*b - 2*b**2. What is the remainder when 19 is divided by y(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27*-6)\/((-200)\/(-60))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24136\/49 - 1 - 8\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h. Let p(c) be the first derivative of h*c - 3\/10*c**5 - 1\/6*c**3 - 3\/8*c**4 - 1\/12*c**6 + 0*c**2 - 2. Solve p(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*r, r = -3*b + 4*r - 24. Suppose 5*f = -5*o + 4 + 6, -f - 2*o = -2. Let n = -4 + f. Put n, b, 8 in increasing order.\nAnswer: b, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63929 is divided by 2886.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 128*t + 41. Let d be c(-43). Let q be 55 - (0 + (0 - 1)). What is the greatest common divisor of q and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -3*u - 3*x, 44 = -2*u - u - 20*x + 153 + 194 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 1645.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450721.\nAnswer: 127, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2916 - 1767. Let w = 18337\/1932 + 310\/161. Calculate the common denominator of w and a\/420 + 4\/(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-3)\/24). Let z be 0 + d - -3 - -2. Let k(f) = f. Determine k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1187 + 2226. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*-17*18\/6120?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*r + 201148, 61*b - 3*r = 57*b + 160968. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 24724. Let l(z) = z**2. Give l(c(b)).\nAnswer: 16*b**2 - 197792*b + 611276176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/613 and -58\/3.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 2779 and 0.5814.\nAnswer: 2779.5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*g - 29, -g - 10 = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14433 (base 7) to base 8.\nAnswer: 7631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 9. Let g = 0 + -2. Let b(s) be the third derivative of -s**4\/12 + 2*s**3\/3 - 738*s**2. Let a = 0 - -5. Give a*b(l) + g*x(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**2 + 536*v + 4849. Calculate d(-12).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 16*u + 18. Let p be k(15). Is 13 a factor of (-5)\/30*p - (-70)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663186 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/6)*r)\/r)\/r*r\/(r*r\/(r**(-1\/9)\/r)*r))\/(r*r\/(r**(-1\/3)*r))**(-1\/18) assuming r is positive.\nAnswer: r**(-209\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/7)*s*s*s\/s**(-3\/4))\/(((s**(2\/5)\/s)\/s)\/s)**(-1\/4) assuming s is positive.\nAnswer: s**(337\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/4 - 19. Let r(n) = -15*n**3 + 13*n**2. Let u(w) = -5*c(w) + r(w). What is the third derivative of u(d) wrt d?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 44 + 16 = 0. Calculate the remainder when 75 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - y = -48, -2*y + 29 + 91 = -5*x. Let t be (-10)\/(-8) + -1 + 3534\/(-152). Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 894 divided by 3\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 14*l + 4. Let q be j(-7). Sort q, 5, 3, -1 in decreasing order.\nAnswer: 5, q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50432717\/251769 + 2159\/1893. Let b = o + 1406\/7. Is -0.1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -220*d**3 - 2*d**2 + 664*d - 1949272?\nAnswer: -660*d**2 - 4*d + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.4, 1.2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4661?\nAnswer: 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324\/(-198) - 4\/11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2965692 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - -2021?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = -2*z. Let v(b) be the third derivative of -b**5\/60 - 5*b**4\/12 - b**3 - 81*b**2 + 3*b. What is v(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20629.3 and 0.4.\nAnswer: -8251.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 27. Let s(g) = -3*g - 41. Let r(b) = 7*c(b) - 5*s(b). Let t be ((-6)\/4)\/(2\/12). What is the least common multiple of 1 and r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 140484*m**2 - 1230599676*m - 50691016004.\nAnswer: -4*(m - 17581)**2*(m + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-6)\/4 - (-5 + 5). Suppose 2*h = -3*m + 3, t*h - 6*m = -4*m - 15. Suppose 11*v - 17 = -6. What is the second biggest value in v, 0.2, -0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 + -19. What is the greatest common factor of 77 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819746609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 + s - 4. Let i be h(3). Suppose 2*w - 6*w = 16. Let m be (-1)\/(-2) - (-1)\/w. Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*x + 872, 4*f - 888 = -4*x + 8*f. Suppose 9*q - 338 - x = 0. What is the remainder when q is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32571039 divided by -10857013\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1636 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271078 - -806.083?\nAnswer: 271884.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*k**2*n - 16*k**2 + 5*k*n**3 - k + 90 wrt n.\nAnswer: 77*k**2 + 15*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 94. Is o < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2832 = -0*l + 8*l. List the prime factors of l.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrmm when four letters picked without replacement from {m: 7, r: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 42*d**2 - 6*d**3 + 42*d**2 + d**4 to the form b + k*d**2 + v*d + f*d**3 + h*d**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -6\/127, 1, 0.1, -4 in descending order.\nAnswer: 12, 1, 0.1, -6\/127, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1705 - 1701. Let c(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + k**3\/3 + 4*k**2. Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)\/((-1)\/(-3)). Let z = 0 - b. Solve 2 = -3*d - w, 5*w + 7 = -z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 16. List the prime factors of -8*((-9)\/o + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 3*g**3 - 3*g**3 + (g + 0*g + 0*g)*(133 - 4*g**2 - 133).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (1 - (29 + 44)) - 18.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -3123403?\nAnswer: -3123424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8238853 divided by -8238853.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 563, 1866, 4393, 8552, 14751, 23398, 34901?\nAnswer: 49668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, s: 1, v: 2}. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -81195, 4, 5, -2, -8, -5 in ascending order.\nAnswer: -81195, -8, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -154*h + 2330. Calculate b(16).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:34 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 - 12836*v**2 - 8859292*v - 8846460 = 0.\nAnswer: -2205, -1003, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:06 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 6 + -6 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972782*g**3*l*t**4 + g**3*l*t**2 - 2*g**3*l*t + 3*g**3 + 80*g**2*l - 11*g**2*t**2 - 61*g*t - 3*l*t**5 - t**2 wrt t.\nAnswer: 23346768*g**3*l*t - 180*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*q**4 - 57*q**3*u*w**2 + 104*q**3 + q**2*w**2 - 2*q**2 - 107*q*w**2 + 13*u*w**2 - 1 wrt q.\nAnswer: 384*q - 342*u*w**2 + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881 plus -48580514944?\nAnswer: -48580512063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 23 = 5*x, 3*h - 5*x = h + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by (11 + -10)*(-260)\/(10\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3 - 5. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 9*n**2 - 8*n + 13. Let d be m(10). Suppose 0 = 3*c - 5*c + 3*t + d, -3*c + 2*t + 52 = 0. What is the least common multiple of c and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*x = -75, 44 + 61 = 4*w - x. Let s(l) = 9*l + 22 - l**2 - w - 4*l. Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 957.1 + -957. Is t less than or equal to 516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10337810 (base 10) to base 5.\nAnswer: 10121302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93794*o**2 - 1279*o + 27 wrt o?\nAnswer: -187588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/2 - 6. Let f = 10.3 - -2.7. Let b = -9 + f. What is the closest to t in b, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -222*r**2 - 36*r. Let x(u) = u**2 + 2*u. Let k(j) = b(j) + 18*x(j). Let n(o) = 3*o. Give k(n(g)).\nAnswer: -1836*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -1, 0.2, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7719505 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3535, 3573, 3619, 3679, 3759, 3865, 4003, 4179?\nAnswer: 4399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.91 - -0.09. Let k = x - 8.83. What is k rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 15*h + 38. What is the least common multiple of 240 and j(17)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 315, 1057, 2501, 4881, 8431, 13385?\nAnswer: 19977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, l: 3, x: 3}. What is prob of picking 1 l, 1 x, and 2 m?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 194 + (-1 - -2). Suppose 0 = 5*f - a - 417, 4*f - 3*a - y - 144 = 0. Solve -2*g + f = 79 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*h**3 + 544*h + 0 - 541*h - 3 as i*h + y*h**2 + z*h**3 + k and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/199556 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 79*-0.05\nAnswer: -3.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 370 = 2*w + 3*w, 126 = -2*w - 4*v. Let r = w + 82. Suppose 0 = 2*q + q - 4*k - 10, k - 20 = -3*q. Calculate the remainder when r is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 391, 127, -137?\n\"Answer: -264*l + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -81, -104, -137, -180, -233?\n\"Answer: -5*f**2 + 2*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/12 - 8*a**3\/3 + 21*a**2. Let d be f(-19). Suppose d*u - 324 = 18*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13274 + 0.434.\nAnswer: 13274.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 726799 + -726493.841. Let t = -304.656 + -0.344. Let p = t + c. What is p rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1256.\nAnswer: -502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1703.2 - -1702.8. Which is the closest to -1\/3? (a) -0.03 (b) 5 (c) q (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6 - 1 - 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 49456.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 34, 0.03, -167?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjg when three letters picked without replacement from {w: 2, k: 7, s: 3, j: 3, g: 1, b: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 53613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-2968))\/((-4)\/(-16))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -24, -64, -120?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 - 27*r + 22. Let l be n(4). Solve 12*y = l*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*k = -68*k - 7290. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.09999916. Round a to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 58*d**2 - 1. Let h be i(1). Suppose -2*o - 5*z + 0*z = -170, 3*o - 2*z = 293. Let f = o - h. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 465 - 2309\/5. Find the common denominator of -24 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h + 26. Let g be l(-10). Let k be (g\/4)\/(-6 + 3)*2. Is 1\/6 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6164843, -6164859, -6164889, -6164933, -6164991, -6165063, -6165149?\nAnswer: -6165249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -55.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*n - 450, 5*u - 5*n - 933 + 183 = 0. What is the smallest common multiple of 2 and u?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - s + 4*s - 2*s. Let o(x) = -9*x. Give o(i(p)).\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.044 in -0.03, 2\/7, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*5*-3.\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (176*s + 181*s - 357*s + 1145*s**2)*(1 + 1 - 45) to the form o + a*s**2 + x*s and give a.\nAnswer: -49235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.969 - 51. Let n = 4.969 - u. Which is the closest to -1\/2? (a) n (b) -0.1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52746949 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**4 - 7*g**4 - g**4)*(-2 + 0 + 1) + 45633*g**2 - 4 - 45631*g**2 + 153*g**4 + 6 to the form x*g + f + y*g**4 + n*g**3 + i*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 117, 2, 4, 1 in decreasing order.\nAnswer: 117, 4, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20891.09 - 20907. What is c rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 4, c: 5, w: 3}. Give prob of picking 1 p and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 12*f**5 + 552*f**4 + 6831*f**3 + 10173*f**2 - 15576*f + 4356 = 0.\nAnswer: -22, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688)*-5 - sqrt(2688))\/(sqrt(42)\/sqrt(7)*3).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5542)\/(-1630)*-10*1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 6. Suppose -t - 24 = 3*t. Let f(z) = z**3 + 5*z**2 + 5. Let a be f(-5). Let g(h) = a + 2*h - 2 + 3 - 14 + 6. Determine t*s(y) + 17*g(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 50 - 22. Suppose 0 + 2\/7*u**3 - 4\/7*u**2 + 2\/7*u**k + 0*u = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/494 and (-219)\/(-30)*28\/6916.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10139592 and 1974?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*q + 78982260 - 78982260.\nAnswer: -58*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {a: 3, y: 15}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a + a)*((-3 + 6 - 2)*(-3 + 1 + 3) + 1 - 1 - 2)*(-6*a + 4*a + 3*a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/228 (b) -27668 (c) -3 (d) 2\/9 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16585304.\nAnswer: 2, 2073163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38434519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4078 and 6.\nAnswer: 12234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3455\/2 or -1729?\nAnswer: -1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-14)\/s))\/(s\/(s\/s**4)))\/((s*s\/s**17)\/(s**6*s)) assuming s is positive.\nAnswer: s**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 81.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = -3*q - 122. Let g = -601\/4 - q. Find i, given that i**2 - g*i + 0 - 1\/4*i**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 14082*b + 239690. Determine n(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -122030022231?\nAnswer: -122030022302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v, 0 = b + b + 5*v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -20, 5*a - 9*a = 3*p - 1436. What is the remainder when a is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.04 - -5.01. Which is the nearest to -1? (a) 0.09 (b) v (c) -4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3953*h - 32689. Determine u(8).\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-52)*-104*46\/(-22080).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/3 + 32176*a**3\/3 + 128717*a**2\/3 + 32180*a = 0 for a.\nAnswer: -3, -1, 0, 32180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 45 = 2*j, 5*j = -13 - 12. Let c be (40\/(-12))\/(g\/(42\/4)). Let l(x) = 114*x + 48. Let d(b) = 12*b + 5. Calculate c*l(r) + 48*d(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16892 + 16891.84. What is the closest to 0.1 in 4\/5, f, 1, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3032 - -3039. Solve -f = i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtww when four letters picked without replacement from wwyttr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let v = 0 + j. Let p be (-1)\/4 + 11\/(-1056)*-8. Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.14 - -15.14. Let k = 14.6 - g. Let v = 0.2 + k. Put -0.6, 0.1, v in descending order.\nAnswer: 0.1, v, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(4 - 4 - 2*h) - h - 2*h**2 + h - 2 - h**2 + 2 + (h + 3 - 3)*(h - h - 2*h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14183.4 + -4\nAnswer: -14187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*d = 12, -10 = -2*k - 4*d + 4. Suppose z + p + 33 - 3 = 0, 0 = k*z - 5*p + 66. Let x = -15 - z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3228 - -4055. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3026051069\/1349530 - 5\/134953. Let t = u - -2235. Let w = 7487\/10 - 748. Find the common denominator of w and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*((2 + (0 + sqrt(1331) - sqrt(1331)))*6 - ((0 + sqrt(1331))*3)**2*5).\nAnswer: -1796490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + -5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.004 in -1\/5, 3, -25, 35, -2\/65, 2\/5?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*((96\/(-44))\/(-4))\/(72\/612).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13113, -28276, -43451, -58644, -73861, -89108?\n\"Answer: -x**3 - 15156*x + 2044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 64 = -4*z, -q + 5*q = 0. Calculate the lowest common multiple of z and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85.3 - -85. What is the closest to -0.3 in -0.1, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19840 divided by -992\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -22, 128, -2 in ascending order.\nAnswer: -22, -2, 6, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25.72 + -0.11\nAnswer: 25.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-72) - -2) + 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 2*f**2)*(4*f - 4*f + 2*f + 2*f - 3*f + 0*f + (3 - 5 + 1)*(0*f - f - f) + 4*f - 5*f + 3*f + f + f - 3*f + 177*f + 85*f - 183*f).\nAnswer: 166*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/7*g**3 - 4\/7*g**2 - 4\/7*g.\nAnswer: -g*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-66)\/33)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4)*(-210)\/(-336)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(-35)*21\/6. Suppose -2*r = -2, 5*c - 20 = -f*r + 8. Let j = c - -26. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214992050.4 rounded to the nearest 10000?\nAnswer: 214990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -87.13. Let o = c - -0.43. Put o, 2, 0.5, -4 in ascending order.\nAnswer: -4, o, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1862513*l. Let g(a) = 35*a. What is b(g(o))?\nAnswer: 65187955*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + v**5\/20 - v**4\/8 + v**3 - 8*v**2 + 3*v. Determine x(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*c - 2569 - 3969 = 0, -5*c + 9797 = 3*r. Calculate the smallest common multiple of 22 and r.\nAnswer: 36014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*t - 27. Let h be 32\/(-3)*t\/10. Suppose h = 8*c - 4*c. Solve -3*x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(180)*-1 + sqrt(180) + sqrt(180) + -5 + -4.\nAnswer: -11 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19 + 11 - 273*o + 267*o - 14. Suppose -12*i + 7*i = 105. List the prime factors of l(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbvszqmqvbsq. Give prob of sequence qvz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 15*f - 221. Suppose f*u = 9*u + 520. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124849190 divided by 24969838.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 19. Let n(p) = 391*p. Give g(n(z)).\nAnswer: -391*z - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, 3013, 0.9.\nAnswer: -3\/5, 0.9, 2, 3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 108\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.9 + 62. Let k = g - -2.1. Sort 5, -2, k, 1 in decreasing order.\nAnswer: 5, 1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 99*t**2 + 99435*t\/2 - 352702.\nAnswer: -(t - 427)*(t - 7)*(t + 236)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3995 + -3995.2. What is the fourth smallest value in 64, -5, -0.3, m?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 5. Let q be i(2). Suppose -4*n = q*n - 119. What is the third derivative of n*p**5 - 8*p**5 + 17*p**6 - 12*p**2 - 9*p**5 wrt p?\nAnswer: 2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/9)\/(-4)*(-54)\/(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -71. Let k(a) = a**3 + 2*a. Let w be k(r). Factor 0*g + 1\/4*g**2 + w - 1\/4*g**3.\nAnswer: -g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 2, r: 12, u: 1, q: 1, t: 2}. What is prob of picking 1 g and 1 i?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 5 = -89. Suppose d = 4*x, -3*x + 4*x = 5*y - 10100007. Suppose 3*j - 6 = 0, -5*g - j + y = -7*g. What is g rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1116603 = -x + 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 2, r: 3, i: 2, p: 4, f: 1}. Give prob of sequence ppm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - 0.11. Which is the second smallest value? (a) u (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33794731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + 30*q - 3*s = 13, -s = 3*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 7*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 52*y**2 + 1927*y + 52. Let p be g(-25). Let c(j) = 17*j. Let k(h) = 18*h + 1. Calculate p*k(z) - 3*c(z).\nAnswer: -15*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = q, 3*q - 2*q + j = -3. Let p = 24 - q. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2500 is divided by 581?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 9:15 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 5*l + 2*l + 3*l + 2*l - 4*l + (3 - 1 - 3)*(l + l - 3*l) + 405 - 405 - 63*l)*(-1 + 2 + 5 + (3 - 2 + 0)*(-2 - 1 + 2)).\nAnswer: -325*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123324664*n*p**3 - 49*n*p + 2*n - 198444*p wrt p?\nAnswer: -739947984*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.65 + -0.65. Let t = 135 - i. Let x = t + -75. Which is the third smallest value? (a) 0.4 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 842\/15? (a) 2\/15 (b) 31\/3 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2 + v - 1. Let m be d(0). Let a be (2\/12)\/(m\/(-3)). Let l(q) = -q**3 + 4*q**2 - q - 4. Let b be l(2). Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(6\/(-16)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5875147115 to the nearest integer?\nAnswer: 76650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5508778 or -5508781?\nAnswer: -5508781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 4*f - 8. Let p(i) = -3*i**2 - 7*i + 14. Let d(r) = -4*p(r) - 7*z(r). Let t(o) = 6*o - 2. What is t(d(w))?\nAnswer: -12*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 4*f + 1. Let s(u) = u**2 + 12*u - 43. Let m be s(-15). What is w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 != -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 105 = -3*k, 4*k = 2*c + 154. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2187 - 2186. What is the closest to m in -3, -4\/7, -1, -24?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1) + (-48)\/(-2). Let r = -304\/5037 - -7\/69. Let f = 67\/146 + r. Is z at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 + 4*h**3\/3 + 3*h**2 - 3*h - 2. Let x be b(5). Suppose -x*i = i. Solve i = 8*j - 4*j + 5*f, j = f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/180 and 139\/36952080?\nAnswer: 110856240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 3, a: 1, p: 1, g: 1, j: 1}. Give prob of picking 1 p and 1 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18919 - 8582. List the prime factors of l.\nAnswer: 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275*d - 1266*d - 198 = 0. What is the remainder when d is divided by (-4)\/(-18) - 43\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992 is divided by 332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 7, -2, -27, -74, -149?\n\"Answer: -s**3 + s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeqbejgj. What is prob of picking 1 q and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(256))\/((sqrt(200) - (sqrt(200) - sqrt(200)*2)) + sqrt(200)) - (1 + 2*sqrt(512))**2.\nAnswer: -2049 - 196*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r - 2. Give u(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -508, -2, 4, 5, 2, -112, 3 in decreasing order.\nAnswer: 5, 4, 3, 2, -2, -112, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. What is the second derivative of 6*r - 6*r**4 - 6*r**j + 0*r wrt r?\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.78695631 rounded to 4 dps?\nAnswer: 13.787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let y(h) = -4*h - 10. Let j be y(-4). Let l(w) = 50*w - 17. Let z(t) = 16*t - 6. Let a(v) = j*l(v) - 17*z(v). Give i(a(p)).\nAnswer: -2352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (3 + 0 - 1)*(2 - 5 + 1) - 3 + 0 + 2 + 5 + 6 + 2)*(-3*b + 2*b + 2*b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 678, 2, -5, 0, 3 in decreasing order.\nAnswer: 678, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 12*w**2 - 10*w - 30. Suppose 2*r - 13 = -2*k + 15, 4*k - 5*r = 47. What is v(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (4 - 150\/35). Let r be ((-3)\/6)\/(2\/(-8)). Let n = r + -2. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1642180.45 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49920 and 25272?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/6*(-513)\/(-1197)*-7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/4 - -8. Let b be (-33)\/42*(-2)\/4. Let t = b + 1\/140. What is the nearest to y in 5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**4\/11 + 12*b**2\/11 - 6\/11.\nAnswer: -6*(b - 1)**2*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 370?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 11*u**2 - 3*u - 9\/5*u**5 - 1\/30*u**6 + 0*u**3 + 0 + 29\/3*u**4. Suppose z(i) = 0. Calculate i.\nAnswer: -29, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/((-14)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/24 - 13*v**3\/6 - 552*v**2. What is a(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -8. Let d be (-2 + 4 + -5)\/((-1)\/t). Suppose -d*i + 10*i = 26. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(245) + -2)*1 - (sqrt(5445) - sqrt(5445)*1 - sqrt(5445))\/(sqrt(144)*-2 + sqrt(144)))*1.\nAnswer: -4 + 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3704643025?\nAnswer: 5, 53, 331, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143578273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/127 + 293\/1651. Let a(m) = -m**2 + 6*m + 5. Let r be a(6). Let j be (1 - (r + -3))*-1. Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1112768391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 14*o**3 - 3282*o**2 - 6426*o + 9720 = 0. What is o?\nAnswer: -36, -3, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 386932, 388390, 389848?\n\"Answer: 1458*z + 385474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -635687 and 2.\nAnswer: -1271374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/8, -0.4, -2\/9, -3, -0.8 in decreasing order.\nAnswer: -1\/8, -2\/9, -0.4, -0.8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**3 - v**2 - 4*v - 4. Let o(s) = 11*s**3 + s**2 + 3*s + 3. Calculate 4*o(n) + 3*p(n).\nAnswer: 8*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 2*j - 2. Let s = -135 + 218. Let i = s - 72. Let t(n) = -4*n**2 + 11*n + 11. Let x(f) = 2*f**2. Let y be x(1). Calculate i*p(o) + y*t(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78633*x**3 - 40094*x**3 - 39685*x**3.\nAnswer: -1146*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*l = -11375, 38*g - 3*l - 11381 = 37*g. List the prime factors of g.\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*-1*-3)\/(1*sqrt(128) + sqrt(128)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/20*532\/(-114) + -1*15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1613157*l + l**3 - l**3 - 1613157*l + 6*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16657310 divided by -145\nAnswer: -114878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6040?\nAnswer: -1\/1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12078705 divided by -2415741\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 66. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/900 + o**5\/300 + 7*o**3\/6 - 2*o**2. Let h(x) be the first derivative of a(x). Factor h(v).\nAnswer: -2*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.48\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 6:50 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 357, 525, 693?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:36 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 121*r - 42*r - 38*r - 38*r. Let p(o) = -o - 6. Let q be 1024\/80 + (-2)\/(-10). Let v(h) = -2*h - 13. Let x(w) = q*p(w) - 6*v(w). Give -j(z) - 5*x(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 + 2*q**3 - 2*q**3)*(-2*q + 0*q + 4*q) + (-q**3 + q - q)*(88 - 88 + 5*q) in the form k*q + b*q**3 + v*q**4 + j*q**2 + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2. Let o(a) = -a**3 + 4*a**2 - 2*a - 1. Let d be o(3). Let z(g) = 10*g**2 + 2*g**d - 15*g**2. Give p(z(k)).\nAnswer: 54*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54612.\nAnswer: 2, 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*z - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - 185\/(-35). Let v = 15 - 13. Suppose -3*p - k*y = p - 5, -2*y + v = 0. Which is the nearest to -1\/2? (a) -0.2 (b) 3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 57*s**3 + 17*s**2 + 12*s - 15. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -5\/3, 614, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-6 + 7)) + -1 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.865495 to 3 decimal places.\nAnswer: -1.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1830985 and 4420.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*j**3*o*s**2 + 3*j**3*s**3 - 315*j**3 - 2*j**2*o*s - j*o + 10*o*s**2 wrt s.\nAnswer: -272*j**3*o + 18*j**3*s + 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4426553704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-192)\/360 - (-13)\/(195\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1595 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119024053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 189650542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + p**2 + 277*p**3 + 5*p**2 - 283*p**3 - 5*p + p + p to g*p**3 + a*p + c + o*p**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.9 take away 117.5?\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -4. Let q be k\/42 + (-922)\/(-14). Calculate the highest common divisor of q and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-241*m - 940 + 940)*(0 + 0 - 2*m + (-3 - 3 + 5)*(1 - m - 1) - 2 + 2 - 4*m + 0*m - m - 2*m) in the form r + p*m**2 + w*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwtmcw. Give prob of sequence mc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1651*c - 839*c = 1120*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44+-0.041\nAnswer: -44.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 472*d*v**3 - 17*d*v**2 + d - 23*v**3 - v**2 - 1123*v wrt d?\nAnswer: 472*v**3 - 17*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126741285 to the power of 1\/2, to the nearest integer?\nAnswer: 11258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*b + 2000, 3*b - 1500 = 3*n + 4*b. Let m be (0 - (-2)\/(-5))\/(10\/n). Calculate the highest common factor of 40 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 164.859 and 0.\nAnswer: 164.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8275, -6741\/8, 2 in ascending order.\nAnswer: -6741\/8, 2, 8275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*-3*(2*(sqrt(275) - (sqrt(275) - (1 + sqrt(275) - sqrt(275)))) - sqrt(275) - (3 + sqrt(275)*1)))**2*4.\nAnswer: 2880*sqrt(11) + 158544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from iotttinooihtitc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 3054*s + 223300.\nAnswer: 2*(s + 77)*(s + 1450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28 + 1)\/(2\/(-4)). Let u = m + 114. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 12*a**2 + 5 - 13*a + 0 + 13*a**2 + 4 as c + v*a**2 + t*a and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -56*c - 28. Let m(n) = 11*n - 2. Let o(h) = a(h) + 5*m(h). What is o(-32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 63.7. Let u = -8.13 - -7.83. Which is the fourth biggest value? (a) v (b) u (c) 4 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 + -1.5. What is the closest to j in 0, -1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66698, 266783, 600258, 1067123, 1667378?\n\"Answer: 66695*z**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/6 - 5*t**3\/3 - 7*t**2 + 3*t + 11. Let p be ((-4)\/(-2))\/(2\/(-6)). Let c be z(p). Which is smaller: c or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/4 + 7*o**3\/3 - 11*o**2\/2 + 2*o + 7. Let c = -3 + -5. List the prime factors of u(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l*q**3*w + 768*l*q**2*w + 2412*q**3*w - q**2*w + 2*q*w + 7*q wrt q?\nAnswer: 54*l*w + 14472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:20 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1746 or -6989\/4?\nAnswer: -6989\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4221 or -1371484\/325?\nAnswer: -4221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*j**3 - 17712*j**2 - 3052140*j - 77554456.\nAnswer: -4*(j + 301)**2*(7*j + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 29 = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) - 64\/(-36). Suppose 3*d = 0, -z - 5 = k*d + 4. Let w = z - -20. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66240 and -0.021.\nAnswer: -1391.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/24*3979\/(-1288) and 199\/1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 10*r - 7*r**2 - 57 + 16 to y + g*r + j*r**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-16)\/200)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - k + 0*k - 15 = 0, 0 = -5*y - 5*k - 15. Let z(w) = -14*w**2 - 4*w + 13*w**2 - 4*w - y + w. Suppose d - 18 = 6*f - f, -4*d + 12 = 0. Give z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354986989 >= 354986990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.825 + -249.625. Let x = -247 - m. Which is the nearest to -11? (a) x (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1334 - 1334. Which is smaller: a or 36\/85?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 2, m: 2}. What is prob of sequence am?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnwwnnnwnnnnwnwnnw. What is prob of picking 2 w?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.66, 7, 2\/5, -4?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2054 and 6.\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:04 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - 11*t + 6. Determine q(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:16 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfjsuscsfppp. Give prob of picking 1 f and 1 s.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 12*b + 5. What is the tens digit of i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 1*sqrt(600))*-5)\/(sqrt(108)\/(2*sqrt(36))).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5\/3, -5, -2\/11, 182\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - 13\/4. Suppose -15*p + 5*u = -12*p + 12, -u - 8 = 2*p. Let q be (-4)\/(2 + 0) - -2. Sort p, q, o in decreasing order.\nAnswer: q, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 157950.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (40817\/98)\/(-119)*26\/7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -437, -995, -1777?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/5 (c) -71 (d) 0.54 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -345 + 345. Put -1, y, -9, 3 in increasing order.\nAnswer: -9, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 234?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5481 divide 157100895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 9*z**2 - 89*z + 18. Let w be m(-15). Solve -48 + 60 = -w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d**3 - 11*d**2 - 4*d + 67*d**3 + 9*d - 5*d.\nAnswer: 16*d**3 - 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/8121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a**2. Let y(s) = -460379*s**2. Calculate n(y(w)).\nAnswer: 2331437060051*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 2*y**3\/3 + 3*y**2\/2 + 2*y. Let u be 6\/(-9)*4 + (-10)\/(-15). Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 - -3)*(-12)\/100. Suppose -13*x + 15 + 24 = 0. Which is the second biggest value? (a) m (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1325624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 447*u**2 - 234*u**2 + 5*u - 212*u**2 - 9. Calculate k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 15*y**2 + 40)*(-y**3 - y**3 - 2*y**3)*(2 - 3 + 2).\nAnswer: 60*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -12. Let s be ((-1)\/2)\/(3\/16). Which is the second biggest value? (a) x (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1094552.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/4))\/(m\/m**6) assuming m is positive.\nAnswer: m**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-151320)\/(-291)*2\/32\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 58.69141 millimeters?\nAnswer: 58691.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.0326\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 5*i**4\/4 + i**3\/6 - i**2 - 8*i. Let t be f(1). Suppose 4*y = 24 + 24. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, r: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -2 (b) -69\/2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d*d)**(-4)*(d\/d**2)\/d**(2\/3) assuming d is positive.\nAnswer: d**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16629 - -24568. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 2*z - 2*z)*(1 + 4 + 1)*(3 + 2 - 2)*(-z - z + 5*z).\nAnswer: -162*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0763 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**4 - 2704*m**3 - 536896*m**2 - 25136064*m + 170733888 = 0.\nAnswer: -302, -78, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -26, -5, 0 in increasing order.\nAnswer: -26, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 16*o + 12. Let p = 42 - 36. Let b be h(p). What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:14 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 3*n + 3*n)*(2*n - 4 + 4 + 28 - 3*n - 28 + (0 + 0 + 1)*(0*n + n + n))*(0 + 1 - 3)*(2 + 4 - 3) to the form y*n**2 + u + f*n and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 5480512*h - 10961040.\nAnswer: 4*(h - 2)*(h + 1370130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3564276.91109 - 3567332.91106941. Let g = b - -3056. Round g to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776038, -776036, -776032, -776026, -776018, -776008, -775996?\nAnswer: -775982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 + 7 = 4*c. Let j = 141 - c. Let l = j - 20. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -4*h - 57*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -0*a. Let g(d) = 56*d + 504. Let y be g(-9). Solve y = -a*w - 8 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 19*y + 72. Determine s(-5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2876 > -5261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7680 and 144120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11403 - -25?\nAnswer: 11428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417*i**4 + 11*i**2 + 7876*i - 218127782 wrt i.\nAnswer: -1668*i**3 + 22*i + 7876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*n - l - 8, -6*n + 2*l + 24 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2655*x + 11693. Calculate c(-5).\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5 = 200*r - 204*r, -2*r = b + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1834*l + 550*l + 466*l = -610*l - 8528 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 48 + (-3)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3871171.1 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5*q + 25*g**4*q - 5*g**2*q + 3*g**2 + 2*q wrt g.\nAnswer: 180*g**2*q + 600*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95289.21 millennia to centuries.\nAnswer: 952892.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 2)\/(1\/(-2)). What is the highest common factor of 40 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8)*-2*-2. Let k(h) = h**2 - 125*h**3 - 3 + h**2 - 4 + 2 + 4. Let t be k(b). What is the highest common factor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 8424?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m\/(m**(-1\/9)\/m*m)*m*m**2\/m**(-3))\/(m**(1\/11)\/m**(-2))**0 assuming m is positive.\nAnswer: m**(347\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220029020 to the nearest integer?\nAnswer: 14833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2314? (a) 1\/2 (b) -1 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b**2 - 3030*b - 8116. What is t(219)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 73. Let j be v*((-3)\/(-2) - 1). Let l = 15 - 8. What is the highest common divisor of l and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*m + 19, 4*b - m + 5 = 8*b. Suppose -3*a = -8*a - b*i + 59, 0 = -2*i - 6. Calculate the remainder when 25 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -0.26, -2, -13, 1, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 3. Let z = 6.0974 + -11.0974. What is the nearest to 6 in s, -0.2, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*d**2 + 107*d**2 + 111*d**2 - 25*d**4)*(-6 - 2 - 8).\nAnswer: 400*d**4 + 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*g = -674 - 3158 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041663376 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1570220*y. Let k(o) = 2*o**2 - 51*o. Calculate g(k(v)).\nAnswer: -3140440*v**2 + 80081220*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 108580*s - 108582*s = 70, 0 = 4*j - 4*s + 84 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83580*f**4 - 6*f**2 - 1635620*f wrt f.\nAnswer: -1002960*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f - 1\/120*f**5 + 7\/12*f**4 + 2*f**2 + 3*f**3 + 0. Let g(p) be the first derivative of r(p). Give g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f\/(f\/f**(-2\/15)))\/f))**(7\/6) assuming f is positive.\nAnswer: f**(119\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 13*m**2 - 33*m**2 + 2*m + 30*m**2 in the form n + u*m**2 + t*m and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 86*o**2 + 14*o + 127. Let q be 15\/12 + 59\/4. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) -2062 (c) 273\/11 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3883 and 1412.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292659 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273)\/56 + -3*(-1)\/(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -918 + 92719\/101. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.175 - 0.001. Let w = 5953.17473 + -5953. Let v = w - u. Round v to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*r**3)*(1 - 2*r**2 - 1) - r**5 + r**5 + 2*r**5 + (-2*r**2 + r**2 - r**2)*(-2*r**2 + 2*r**3 + 2*r**2) - 13*r**5 - 536*r**2 + 536*r**2.\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Suppose 3*r - 20 = z - 0*r, -5*z - r - 20 = 0. Which is the biggest value? (a) u (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 23*b**2 - 9*b - 24. Is 32 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*d - 5*y - 16, -3*d = y + 3. Let h = -5.44 + 6. Let p = -0.06 + h. Sort -1\/5, p, d in increasing order.\nAnswer: -1\/5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 - (9 + (-3 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3 - 2*m + 0 + 4*m + 0*m - 3*m + m + 1 - 1 + (-2 + 1 + 0)*(-m + 1 - 1).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 45254?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 5. Let i(u) = 4*u - 7. Let d(m) = 3*h(m) + 2*i(m). Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, 52, 47, 20, -35?\n\"Answer: -v**3 - 2*v**2 + 24*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 12. Let s be r(12). Suppose s*z + 45326 = g - 4*z, -5*g = 3*z - 226538. Let b = 16310 - g. Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 2, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*s + 12595 - 12595 as x*s + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 3*t**2 - 5*t - 3. Let c(p) = -2*p**3 + p**2 + 2*p + 1. Let i = -25 + 27. Calculate i*u(y) + 5*c(y).\nAnswer: -2*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1830 divide 105492180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -368, 2\/11, 4, -2\/19, -3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -0.75.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 9 = 5*k, 5*k + y = -0*y + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 9*w + 11. Let y be q(-8). Suppose -i - 18 = -6*i + 2*o, -y*o - 12 = 0. Let b(s) = -s + 2. Let a be b(0). Solve 0 = i*d + a*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.1. Let r(p) = -p**3 - 13*p**2 + 12*p - 24. Let i be r(-14). Which is the third smallest value? (a) 3 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 + 81*l\/4 = 0.\nAnswer: 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let k(c) = -c**2 - 6*c. Let y be k(-6). Suppose y = -2*m - 0*m + 2. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/(-7))\/(((-57270)\/91798)\/345).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 197?\nAnswer: -3743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260201 is divided by 16261?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/54 and (9963\/1313)\/9 - (-5 + (-210)\/(-36))?\nAnswer: 70902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8817035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56110?\nAnswer: 2, 5, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-12)\/144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 10136*v**2 + 40656*v + 121824.\nAnswer: -4*(v - 6)*(v + 2)*(v + 2538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 521788\nAnswer: 1\/130447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 35\/3. Which is greater: -2\/91 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69114132?\nAnswer: 2, 3, 467, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, g: 2}. What is prob of sequence yy?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124150789 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (309\/(-206))\/(15\/170)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 + 69*z - 52. Calculate w(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -192.239 and -3.12196.\nAnswer: -195.36096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-640)\/90 + 7 - (-8 - (-10208)\/144)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 84, -5, -0.1, -1\/2, 14\/11?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 32693.\nAnswer: 261544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2869260 by -17.\nAnswer: 168780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -95 (b) -3 (c) 1.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129712, 129754, 129800, 129850, 129904, 129962, 130024?\nAnswer: 130090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/6 and -83\/23430.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 1, i: 2, b: 4, o: 8}. What is prob of sequence ox?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71244314003 + 3?\nAnswer: 71244314006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142034, -568161, -1278376, -2272679, -3551070, -5113549?\nAnswer: -6960116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 6*s + 6. Let p be i(6). Let l be 2\/(-32)*-4 - (-121)\/(-4). Let c = p - l. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 17*t**2 - 32*t - 26. Determine j(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 4*t**2 + 24*t + 88. Let j be v(-3). Let w(d) = 9*d. Calculate w(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**3*d)\/d)\/d)\/(d\/d**(-12)*d))\/(d\/(d**(5\/7)\/d))**(1\/82))**(-1\/4) assuming d is positive.\nAnswer: d**(6897\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4185 - -54403\/13. Which is the fourth biggest value? (a) 41.3 (b) -0.3 (c) k (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/11))**(-29))**(-35\/6) assuming j is positive.\nAnswer: j**(2030\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15 = -1. Let j be (-36)\/17 + (-8)\/x. What is the second smallest value in -3, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(2*1\/(-6)). Suppose 0 = -s + 2*s. Let t = s + j. What is the least common multiple of t and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zllxllzlxlxzzzlxl. Give prob of sequence zzx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 7) in base 2?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 32 = 0, 72*c - 28*c - t = 39*c - 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/13)\/l**(-7)*(l*l**(1\/3))**(-2\/129))**(-35))**(22\/3) assuming l is positive.\nAnswer: l**(-27335000\/15093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 3*h**2 + 3*h - 3. Suppose 3*f + 18 = 4*m, 0 = 3*m - m - 3*f - 12. Let v(j) = -2*j**3 - 4*j**2 + 4*j - 3. Determine m*v(z) - 4*q(z).\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1*(-2 + sqrt(304) + -3 + sqrt(304)*2*-1))*-4)**2.\nAnswer: 768*sqrt(19) + 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.32 and 30256859020?\nAnswer: 30256859020.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 234092495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, 1, -6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -29445 divided by 5\nAnswer: -5889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuu. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81\/4 of a kilogram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegggeeewgwge. What is prob of picking 2 w?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14545 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 206dd + -2?\nAnswer: 206db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0415 - -0.3815. Suppose 12 = -0*v - 4*v. What is the smallest value in v, -2\/19, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 12 = 0. Suppose c + 50 = 5*g - c, -1 = -2*g - d*c. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001055862 to 7 decimal places.\nAnswer: 0.0001056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1278932+14.183954\nAnswer: -1278917.816046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1008))\/(sqrt(1296)*-1 - sqrt(1296)) - (2*sqrt(252)*-6 - 1*sqrt(252)*5)**2.\nAnswer: -72828 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from mkdmmmymzzzmz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - -16. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -304?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 96863 and 96877 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - (-2 + sqrt(21)\/sqrt(3))) + -4 + 2 + 0 + (6*(-1 + sqrt(7)))**2.\nAnswer: -72*sqrt(7) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -5\/2*i**2 - 25\/2*i - 1\/6*i**3 - 76. Factor o(k).\nAnswer: -(k + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27755)\/182)\/61*(-380)\/(-30).\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597 - b**3 + 7*b + 6*b - 12*b.\nAnswer: -b**3 + b + 597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*sqrt(10)\/sqrt(5).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109\/156 + 2\/39. Let c = 6 - -3. Sort 1, x, 4, c.\nAnswer: x, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -179, -714, -1605, -2852, -4455?\n\"Answer: -178*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-12)\/9))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -48. Is 14 a factor of 295 + (-5)\/(p\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 3 + 8 = 0, 7*l - 12*l = -3*x + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1468 and -63\/94.\nAnswer: 68996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/38 (b) -5 (c) 4\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105 - 66. Let o = v + -3. What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/6 - 5*k**2\/2 - k. Let f be y(0). Let l be 10\/45 + 0\/(-7). Which is the nearest to 0.2? (a) f (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -104*p - 24. What is the tens digit of l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16200211 to the power of 1\/2, to the nearest integer?\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9818872907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69852923 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26844803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69521253074680025\/372232 + 1307380265078\/7. Let h = v + 67860\/289. Let j = 500\/23 + h. Calculate the common denominator of -89\/6 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**5 + 17 - 17 + (2 + 2*b**4 - 2)*(-3*b + 12*b - 2*b).\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 3 + sqrt(40)\/sqrt(2))**2 - ((sqrt(40)\/sqrt(4))\/sqrt(2) - 2*sqrt(605)).\nAnswer: 89 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023419367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 59 + -9 - ((-1 - 5) + 6 - -4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**4 - y**3 - y**2 + 2*y. Let v(o) = 5*o**4 + 2*o**3 + 6*o**2 - 4*o + 210. Let i(m) = 4*p(m) + 2*v(m). What is the derivative of i(d) wrt d?\nAnswer: 24*d**3 + 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/6*r**3 + 0 - 2*r**2 - 90*r. What is o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:10 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2988.04\nAnswer: 2988.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 3*g - 724. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**3 - x. Let j be s(-1). Let k(g) = j*g**2 + 3*g - 8*g**2 + 3 - 6*g. Let c = -12 - -16. Determine k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100326 (base 7) in base 14?\nAnswer: ca0d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 549604039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and -0.0634.\nAnswer: -13.0634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.1. Let u = 0.2 - 0.4. Let c = u - -0.3. Is d at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 11647695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f**2. Let u(z) be the third derivative of z**5\/120 + 4*z**3\/3 - 5*z**2. Let x(h) be the first derivative of u(h). Determine x(w(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2698, 23230, 78928, 187366, 366118, 632758, 1004860, 1499998?\nAnswer: 2135746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 9*v**2\/2 + 23*v. Let t be o(-5). Let d(k) = k**2 + 11*k + 21. Let z be d(-9). Sort 1, z, t, 4.\nAnswer: t, 1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-4)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - -48. Let i = a + -167. Let u = -1 + 1. Sort u, i, 2.\nAnswer: u, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 4}. Give prob of picking 3 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0 - 1\/90*a**4 - 1\/9*a**3 + 112*a - 4\/15*a**2. Factor f(d).\nAnswer: -2*(d + 1)*(d + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339347348?\nAnswer: 2, 3389, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1 = z. Let x = 1 + z. Let i(v) = -3*v**2 + v**3 - 4 + 2 + v + x. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i**2 + 36*i + 22. Let p(l) = -23*l**2 - 67*l - 44. Let j(q) = 4*p(q) + 7*v(q). Calculate j(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 1, g: 3, o: 4, s: 4, v: 3}. Give prob of sequence so.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (0 + 6)*-1. Let g(w) be the third derivative of -w**2 + 0*w**4 + 1\/30*w**f + 0*w + 0 - 1\/2*w**3. Differentiate g(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -326 - -334. Let o(a) be the second derivative of -13*a - 7\/2*a**2 + 0 - 7\/12*a**4 - a**3 + 1\/20*a**5. Determine o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2600 - 1531. Suppose m + 240 = 11*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -14675?\nAnswer: -14672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75\/131 + 13103\/2751. Calculate the common denominator of -29\/27 and a.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2052 + -1392. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:20 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/19))**(-2\/49)\/(p*(p*p*p**(-1\/7))\/p*p)**(-8))**44 assuming p is positive.\nAnswer: p**(936144\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 - -1.1. Let r = -5.7 + u. Let a be -1 + (-2)\/(-7) - -1. What is the closest to -1 in a, r, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/(-2 - (-60)\/25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805351?\nAnswer: 113, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 23*r**2 - 22*r - 44. Let m be g(24). Let q(p) = m*p**2 - p**3 + 5 - 7*p - 6*p + 19*p. Determine q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -z - z. Suppose -r + z = -8. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(208) + 2.\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679878486?\nAnswer: 2, 3, 7, 103, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -882709*a**2 + 8300464*a wrt a.\nAnswer: -1765418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13463*m**3 - 76*m**2 + 23.\nAnswer: 80778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 - (-13 + (-705)\/(-25)). Sort a, -0.3, 2\/3, 0.01 in descending order.\nAnswer: 2\/3, 0.01, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -3) + -71 + (26 - 34)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138639 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/(-80)*4)\/((-61)\/5*-1).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(2\/((-16)\/(-6))). Let z be 20 - 0 - (-76 + 79). Solve k = 6*b - 2*b - v, 0 = -5*b + 2*v + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 535343\/16109961 - (4 - 205\/105 - 2)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 1791032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s*t**5 + 3*s*t**3 + 2*s*t**2 - 7*s - 19*t**5 - 4 wrt t?\nAnswer: -120*s*t**2 + 18*s - 1140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28298670 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-18 + 20 + -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 - -260.0000065. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7389534, 7389396, 7389258?\n\"Answer: -138*h + 7389672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.349093228 rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 2. Let s(i) = -i**3 + 5*i**2 - 4*i - 2. Let f be s(4). Let o be r(f). Let b(d) = -d + 9. Let t be b(4). Sort 0.1, o, t in decreasing order.\nAnswer: t, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575459142 divided by 5?\nAnswer: -575459142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135872 and 19658980.\nAnswer: 8492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -235\/3. Let p = -0.5 + 0. Let h = 1.5 - 1. What is the smallest value in p, h, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/184115 - -24486449\/51920430. Find the common denominator of n and -67\/78.\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 6*z - 4. Calculate the remainder when 60 is divided by w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 5, 0 = 2*o + i - 1. Suppose -3*h = -2*u - 34, o*u = 2*u - 8. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + m - 1, -4*a - 12*m + 14*m = 6. Let s(c) = 8*c**2 - c - 4 - 7*c**3 - 5*c**2 + 0*c. List the prime factors of s(a).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -15 + 3 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -9. Solve -6 = 4*y - 6*y - 4*f, -5*y = 4*f - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0 + 19*g**2 + 0*g + 1\/6*g**3. Let r(q) = 5*q + 5. Let x(j) = 5*n(j) - r(j). Let c(k) = 10*k**2. What is x(c(m))?\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14396572 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**2 - 42*f + 17. Let t be s(-5). What is the greatest common divisor of t and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4583708*h - 10*h**2 - 4583708*h.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 12*p**2 + 19*p + 14. Suppose 0 = 4*v - 0*r - 4*r, 4*v = -3*r + 28. Calculate the remainder when a(10) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1464*k**2*q**2*s - 2*k**2*q - 6*k**2*s - 110*k*q*s - 2*q**2*s wrt q?\nAnswer: -2928*k**2*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 16. Let i(z) = -4*z + 17. What is -6*g(o) - 5*i(o)?\nAnswer: 2*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84 - 48*y - 45 - 10 + 32 wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**4 - 2*o + 2*o**3 - 2*o**4 - 10*o**2 - o**3 + 0*o**4 + 11*o**2 + 3 as w*o**4 + u + x*o**2 + a*o + h*o**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(147) + (sqrt(147) - (-2 + 1 + sqrt(147)))))**2*3 - (-4*(3 + -2 + sqrt(147) - (sqrt(147) + 2)*2))**2.\nAnswer: -294*sqrt(3) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/(g*g**(-6\/7)*g) assuming g is positive.\nAnswer: g**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:44 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b + 3. Suppose -2*d + 20 = 3*d. Let u be y(d). Suppose -2*c + 2*f = -3*f - 989, 5*f - 1496 = -u*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314285 is divided by 411?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(6\/5))**(-3\/2))**(3\/41))**(-16) assuming s is positive.\nAnswer: s**(432\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 36\/(-8))*-2. Suppose y*a = -b + 189, 207 = 4*a + 3*b + 47. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j)\/j)**(-43)\/(j**(-20\/7)*j**26\/j))**(12\/13) assuming j is positive.\nAnswer: j**(1752\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*a - 12, -7*a = -11*a + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w - 37. Determine x(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 - 2*h - 1. Is k(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1447 - 1456. Let a(z) = -z**3 - 10*z**2 - 12*z - 9. Calculate a(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(9471\/(-42)) + (-20)\/11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Suppose 4*n - 14 = -3*v, 4 = -0*v - 3*v + w*n. Solve 0*c**2 + 0*c**2 + 2 - v*c**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2978 - 2976. Which is the nearest to 4? (a) 0.4 (b) 6\/5 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 12 = -18*c. Let d = c - 1. Solve v + 3 = -d*q - 1, 2 = -2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-78) - 830\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/42)\/(85\/(-34170))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 60 = -20*w. Let o be w\/(-6) + (-3)\/1. Put 0.3, o, 0 in increasing order.\nAnswer: o, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4 - 13 + 4 - 6*h + h. Let q be s(6). Let n(g) = g - 6. Let c(k) = 5*k - 35. What is q*n(d) + 6*c(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/7 - 49820*h**2\/7 + 44336238*h - 177231096 = 0.\nAnswer: 4, 12453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 48 - 104*l + 254 - 56 - 61.\nAnswer: -104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {u: 4, q: 3, o: 2, k: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -79. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2\/3, 13, -0.05, -3\/5, -2\/35, -251?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12577 smaller than 12584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjcj when four letters picked without replacement from jkjqjkjjjqcjjkkqc.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -1200, -1801, -2402?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 20*l - 1. Let v be i(20). Let o be (v\/2)\/((-9)\/108). Find the second derivative of -5 + 18 - 7 - o*r - 17*r**2 wrt r.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) 59559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.54.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 + 7.6. Let p = -2.02515 - -0.02515. What is the fourth biggest value in z, 5\/8, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h = 2*c + 212, 4*h + 2*c = -434. Let m = -26 + 22. Let z be h\/(-21) + m + -3. Which is bigger: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 8*v**2 + 4*v. Let n be h(-6). Let p be n\/(-10) - (-6)\/15. Let r = 24 + -24. Which is bigger: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i + 480 = -28*i + 19*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 7. Suppose -56 = 4*a - 12*a. Let i(h) = -4*h - 6. Calculate a*i(t) - 6*r(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + 2 + 2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -66*y**2 - 387*y - 97. Let s(x) = 47*x**2 + 259*x + 65. Determine -5*k(t) - 7*s(t).\nAnswer: t**2 + 122*t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 + 2295 = -224*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7371847.000045 + -7371862. Let u = z - -15. What is u rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 1\/6*o**4 + 0*o + 0 + 1\/6*o**3 - 2*o**2 - 1\/60*o**5. Calculate x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + -5 + 9 + (19 - 1 - 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:48 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(2 - (-1 - -2)). Suppose 5*f + 278 = -5*i + 328, -5*i = 2*f - 5. What is the highest common factor of f and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, 14, -51, -26, -1, -1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 - -344.9. What is the third biggest value in g, -7, 1\/4, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 104 = 2*z. Is -1*z\/(-8)*-34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 44*y - 206. What is the remainder when 298 is divided by i(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 divided by -11?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5563, 1 in descending order.\nAnswer: 5563, 1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643783.\nAnswer: 7, 91969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let s(m) = m**2 - 5*m + 2. What is s(d) + 4*u(d)?\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i + 198. Let r be n(-33). Solve 15 = -5*p - 2*v, -3*v - 16 = p - r*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t. Let g(i) = 313*i + 2386. Determine g(j(f)).\nAnswer: -4382*f + 2386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9) - -2)\/((-1)\/(-597)). Suppose -958 = -13*v + b. Let w = v - 78. What is the greatest common divisor of w and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(2*h - 3*h + 4*h + (4 - 3 + 2)*(-h - h + 4*h) + 0*h + 2*h - 3*h) to the form f + y*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76360082*p**5\/5 + 8552872936*p**4\/5 - 8536870294*p**3\/5 + 60464888*p**2\/5 - 107448*p\/5 = 0.\nAnswer: 0, 22\/6179, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3031231275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -3\/5 (c) 68 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, -2\/11, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-175)\/180 + (-15)\/(-20). Let k = 0.5 + -0.1. Which is the second biggest value? (a) h (b) -2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (0 - -1) - 1. Let a = r + 1. Differentiate 4 - a + 5*b**2 - 3*b**2 with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 0.05, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 7*w**2\/2 - 528. Let u(c) = 2*c - 25. Give u(h(v)).\nAnswer: 14*v - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c + 2. Calculate h(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -9*b + 8*b. Let v = b + 85. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776*182.\nAnswer: 323232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 996221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*l = -24, -1496*n + 5*l = -1492*n - 56 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-160))\/(115\/(377775\/(-146))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17185607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 491637 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 5*o - o + 6*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 194090.599 * 0.1\nAnswer: 19409.0599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 3*z + 968. Is -121 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1960989 is divided by 103?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 462.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Suppose 0 = 9*t + t - 210. Let c(r) = -t*r + 10*r + 14*r. What is -2*c(h) - 9*u(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let l be (0*w\/9)\/(-2). Solve 4*y - 3*a + 2*a = -20, l = -4*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/19, 3\/413, -0.5, 6, 1\/7, 3\/10, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -30. Put 4, a, 2, -3 in decreasing order.\nAnswer: 4, 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -o + 6*o. List the prime factors of (1 + o)*3\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 10*a**2 - 3*a - 3. Let o(m) = -m**3 - 6*m**2 - 6*m - 2. Let k be o(-4). Let p be d(k). Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 1, k: 3, i: 1, q: 4}. Give prob of picking 2 m and 1 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/37 = 624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/4))*u)**(-17\/4)\/((u*((u**(-2\/39)\/u)\/u)\/u)\/u**(-11)) assuming u is positive.\nAnswer: u**(-8899\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8359*126.\nAnswer: 105.3234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 2, d: 4, b: 1, i: 1}. What is prob of picking 1 b, 1 n, and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4935 and 41\/7050?\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j + 5. Let w be n(0). Let k(f) = 2*f + 1 + f**3 + w - 1 - 7*f - 3*f**2. Let p be k(4). Let g(h) = 6*h. Determine g(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -6 - (1 + -23). Suppose -5*w + r + a + 3 = 0, 2*w = -3*r + 10. Suppose -w*q + 29 = i - 42, 0 = 5*i - 4*q - 471. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -272 - 250. Suppose -5*a - 3755 = -5*f, -10*f + 14*f = 5*a + 3001. Let o = n + f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - 37. Let g(x) = 54*x**2 - 156. Determine g(h(o)).\nAnswer: 486*o**2 + 11988*o + 73770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130359640 by 5.\nAnswer: -26071928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3005 (base 7) to base 3.\nAnswer: 1102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = -0*w + 2*w, 4*w = x + 25. Let l(a) = -a + 1. Let o(i) = -7*i + 4. What is w*l(p) - o(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 28*k**2 - 27*k + 60. Let o be u(-29). Let c be (3 - o)\/(-7 + 105\/14). Factor 2\/11*q**c + 0*q - 8\/11.\nAnswer: 2*(q - 2)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d, 4*k - 5*k = -4*d - 12. Suppose 5*j - 11 = -h, 0 = 2*h + 3*j + 2 - 3. Calculate the remainder when k is divided by (-8)\/(-1) + (h - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 3*l**2 - l**2 + (2*l + l - l)*(3*l - 4*l - 2*l) - l**2 - 2*l**2 + 2*l**2 - 6 + 6 + 4*l**2 as y*l + a*l**2 + x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 460 in 0.33, -80, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233.94195 - 233.8. What is j rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17701*l + 35397*l + 107*l**2 - 17691*l in the form d*l**2 + h + x*l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 517897 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2 - 1)*9. Solve 2*m - 1 = -k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 42*y - 16 = 0. Suppose 11*f + 451 = y*f + 3*s, f - s - 95 = 0. What is the least common multiple of 4 and f?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 - 80*t**4 - 230*t**3 + 720*t**2 - 405*t.\nAnswer: -5*t*(t - 1)**2*(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35471358 and 8424.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 3*x**3 - 3*x**3)*((0*x + 0*x - x)*(-1 + 3 - 1) + 5*x - 3*x + 2*x) + 4*x**4 - 3*x**4 + x**4.\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 - 2*d + 3. Let i be t(8). Let l = -8 - i. Solve -2*c = -l*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13307*y. Let j(m) = -16404*m**2. Calculate v(j(n)).\nAnswer: 218288028*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3175*f + 20020 = 3461*f for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/120 - b**5\/10 + b**4\/12 - 2*b**3\/3 - 46*b**2 - 2. Give t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 - j + 17. What is y(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.287 + -0.173. Let v = m - -11.46. Put -2\/9, v, 3, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/9, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2109150)\/18748)\/(90\/(-8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -5 (c) -0.5 (d) 0 (e) 10\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8229599\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-4)\/(-333934))*-2. Suppose i - 838967 = 6*p. Round p to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 6516.\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -187, -458, -837?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 746 and 38419?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1 + 4. Solve -o*r - b = -15, -4*r = 4*b + 3 + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*f - 14, -237645 = 2*r - 4*f - 237633 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + h. Let b be y(1). Let w(g) be the first derivative of -1\/2*g**2 + 1\/4*g**4 + 1 + 1\/3*g**3 + 2*g. What is w(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 + 79*a. Let c(l) = 5*l. What is b(r) - 2*c(r)?\nAnswer: -4*r**3 + 69*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136)*-3)\/(2*sqrt(512)))**2*-3*-2.\nAnswer: 459\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 4:25 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 725785 and 360020.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31897 is divided by 15909?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l - 93*l + 1030 = 50*l. Suppose 0*t + 15 = t. Is t > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5556770 is divided by 8977.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 284*k + 5725. Calculate p(-8).\nAnswer: 3453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c - 4. Let j be k(3). Let x = 1.37827 + -4.37827. Let o = -17 + 12. Put x, 1\/2, j, o in descending order.\nAnswer: 1\/2, j, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 + 176. Solve o = -x - 3 + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 20*q = -156 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-12)\/9*(-45 - 0). Let z be (-44)\/77 - (-18)\/i. Put 0, -5\/2, z, -2\/3 in descending order.\nAnswer: 0, z, -2\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 43*p + 152. Let t(g) = -65*g - 225. Give -7*k(d) - 5*t(d).\nAnswer: 24*d + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 1a3c3b?\nAnswer: -1a3c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*g + 4, -2*g = g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16430677 (base 8) in base 4?\nAnswer: -32203012333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssdcsskskdkkdc. What is prob of sequence kck?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, p: 2}. What is prob of sequence pv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. What is the closest to 1\/2 in -4, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 1\/6*w**3 + 1\/6*w**4 + 0 + w**2 - w. What are the prime factors of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b - 319*b + 5304 = -3*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4155 + -4145. What is the remainder when 529 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/2, 55, -108\/35?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 42153 - 41913. Solve 0 = -i - 14*i + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Suppose -4*x + 4*t - 8 = 0, -2 = f*x + 2*t - 6. Let d be (-4 + 1)*2\/(-16). Is d less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16558*r*x - 35243*r + 6 wrt x?\nAnswer: -16558*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 243*s + s**2 - 243*s. Let b(a) be the first derivative of -8*a**3 + 23. Calculate -2*b(t) - 54*d(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let r be a(-1). Suppose -89 = -5*o + 16. Let q be 6\/(-21) + (-57)\/o. Sort -2, q, r.\nAnswer: q, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 10*k - 10. Let m be q(8). Suppose m*i = 4*i. Let a(w) = 14*w**2 - 4. Let d(p) = -5*p**2 + 1. Let z(v) = -4*a(v) - 11*d(v). Give z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39330 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*t + 53. Let u = t + 5. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16775, -34700, -52625, -70550?\nAnswer: -88475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2 + 1\/(-2). Let s = 6 - 3. What is the second derivative of r*z**4 - s*z**4 + 2*z**4 - 2*z wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -468*n**2 + 467*n**2 + 23*n - 22*n. Let b(x) = -5*x**2 + 2*x + 1. Let u(c) = c**2 - 4*c - 4. Let k be u(5). Give k*b(m) - 3*g(m).\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*41\nAnswer: -151.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r - 129. Let a be d(-16). Sort -2, a, -156, 5 in increasing order.\nAnswer: -156, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-9 - (-2 + 1))) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 495862847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g + 0 + 0*g**2 + 0*g**3 + 0*g**4 + 1\/55*g**5 + 1\/33*g**7 - 3\/55*g**6. Factor t(i).\nAnswer: 2*i**3*(i - 1)*(7*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -32. What is the highest common divisor of z and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/5, 2\/17, -3\/2, 3, -0.185?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*x**2 - 37*x**2 + 118*x**2 + (3 + 0 - 2)*(0*x - 2*x**2 + 0*x) + x + x**2 - x in the form f*x**2 + l*x + o and give f.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5968\/15 + 398. Which is the closest to -8? (a) y (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7690, -1, 1, -5, 5 in decreasing order.\nAnswer: 7690, 5, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 30*q - 123. Let u be m(25). Suppose -4*t = 11*o - 16*o - 3621, -u*t - 4*o + 1804 = 0. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11 - 9 = 0. Let j(m) = m**3 + 5*m**2 + 2*m - 4. Give j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.05 + -46.05. Suppose 2*w = -4*c + 38, c - 2*w = 3*w - 7. What is the closest to 0 in c, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.05 and 3087.\nAnswer: -3241.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p. Suppose 0 = -2*r + 4*r - 4. Suppose r*g = -0*g. Do g and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9792 by -4.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2118, -4139, -6160, -8181?\nAnswer: -10202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*(2 - 2515\/5). Let a = x + 172. Solve 2*l = a*k - 3*k, 2*k - 3*l = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 39. Let a = -201 + 267. What is the remainder when a is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 35*k - 31. Let b(s) = s**2 + 9*s + 8. Let o(n) = 9*b(n) + 2*f(n). List the prime factors of o(7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 625*x**4\/24 - 85*x**3 - 41*x**2 + 4. Differentiate m(y) wrt y.\nAnswer: 625","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222552 (base 6) in base 2?\nAnswer: 100100101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f + 2198*u = 2202*u + 460, -2*f - 6*u - 10 = -2*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 6*g**3 + 6*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078095936 rounded to 5 dps?\nAnswer: -0.00781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/176)\/((-42)\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17208 divided by -1\nAnswer: 17208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 9. Let w(d) = d + 1. Calculate k(a) - 2*w(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u + 7. Let h be (0 + 10)\/((-4)\/(-2)). Let w = u - h. Solve 2*v - 8 = -w*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 - -211. Suppose z*o - 60 = 156. What is the greatest common factor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-119*h**2 - 145*h**2 - 130*h**2)*(h + 2 - 2) + (-1 + 1 + h)*(-h**2 + 0 + 0) - 2*h**3 - 1 + 1 to the form i + k*h**2 + j*h**3 + o*h and give j.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2949 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 26 = 37*u - 258 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 19187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2 + 9*o**2 + 6*o - 7*o + 11 - o**3 + 14*o. Let u be t(10). What is the greatest common divisor of 104 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxm when three letters picked without replacement from xxrxxxdxxxxdxmxxx?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/232544 and 91\/64.\nAnswer: 465088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/19)\/(o\/((o\/o**(-12))\/o)))**(-3\/19) assuming o is positive.\nAnswer: o**(-636\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 2*q**2 + 2. Let v be k(-2). Let t be -1*(-16)\/((-8)\/v). Is 415 + -1 + (-4)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.1 (b) 5\/4 (c) -1\/5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 306.645 - 306. Let q = 0.6 - s. Round q to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71009634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-8))\/((-4)\/(-16)). Suppose -j*c - 622 = -2022. Let w be c\/45 - 4\/18. Calculate the highest common divisor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2638 - 979. What is the second derivative of 2*n + r*n**4 - 2 - 2 - 1602*n**4 wrt n?\nAnswer: 684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(1\/5)\/t)\/t)*t)**(1\/19)\/((t\/(t\/(((t*t**(3\/5))\/t)\/t)*t))\/t*t**(5\/6)))**6 assuming t is positive.\nAnswer: t**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 14. Let u be x(6). Suppose 3*z - u = 13. Suppose 5*f + 327 = z*a + 7*f, 2*a - 4*f = 126. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 4.1. Let a = 3.8 + c. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 0. Let u(i) = -i**2 - 5*i + 5. Let h be u(x). Solve h*g + v = 21, -4 + 1 = -3*g - 3*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2209, -1, 212 in increasing order.\nAnswer: -1, 212, 2209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 + 327. Let f = w + -127. Solve x - f + 0 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 + 736*h**2 + 27035*h - 453. Give r(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 30. Let a = 40 - n. Let f = -5 - -8. Solve 2*l - 10 = 0, -f*x + 5*l - 11 = a*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojkqkfo. What is prob of sequence qqk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -76 - 48. What is the remainder when a is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -175*w + 180. Calculate the remainder when 29 is divided by s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12) + 133\/380?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 27*l - 5. Is h(2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 37592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**3 + s**2 - 1. Suppose -a - 10 + 1 = -4*n, -4*n + 4*a = -24. Determine t(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 144. Let d(o) = -156*o + 4473. Calculate 2*d(v) - 63*s(v).\nAnswer: 3*v - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*48\/168*49\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 277.161 days?\nAnswer: 6651.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2795400910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 2. Suppose 2*g = -u - 0, 19 = 2*m - 3*g. Solve 4 = 4*x - m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 15, -3*v + 4*c = -5*v - 1070. Let g be (-6 - (-96)\/21)\/(3\/v). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.33 (b) -3 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31902 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s - 6. Let x(z) = 15*z - 9. Let v(m) = -7*h(m) + 5*x(m). Let g be v(2). Suppose g*c + 966 = -0*c. Round c to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/90446?\nAnswer: 1\/90446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 49*q = -1320. Suppose -2*c - 82 + q = 0. What is the least common multiple of 9 and c?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, 45, -1, 0, 4, -2 in descending order.\nAnswer: 208, 45, 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 142, -2\/3.\nAnswer: -2\/3, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3147135*r**3 - 2993*r**2 - 2*r - 2 wrt r.\nAnswer: 18882810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 9) to base 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y - 4 = 0. Suppose -4*q = 5*o - 18, y = -o + 4. Find the third derivative of -2*c**q + 3*c**2 - 2*c**2 - 2*c**6 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75007 take away 5?\nAnswer: -75012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 2*k + 11*k**3 + 7*k**2 + 15*k**2 - 28*k**2. Let i = 1199 - 1056. Let d(b) = 264*b**3 - 143*b**2 + 143*b. Calculate i*n(z) - 6*d(z).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 17 - (13 + -67).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**4*z - 4224*s**2*z**3 - 11*s**2 - 222173*s*z**3 + 3*s wrt s?\nAnswer: -60*s**2*z - 8448*z**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 581 and 82291097.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 11) to base 2\nAnswer: -10010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/585 + 3\/(-9))*2764\/(-1382)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 964964 and 34034?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 + 208.9999997885. What is z rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3\/5 + 3*w**2 - 42*w\/5 = 0?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12.07 times 0.1\nAnswer: 1.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 71*r**2 - 218*r - 284. Calculate the remainder when 47 is divided by v(74).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 3*v. Differentiate 3*k**4 - k**4 - v - 5*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -11. Suppose a = 3*p - p. Factor 1 - 2*y**p + 1 + 0*y**2.\nAnswer: -2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 13) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.7 - 97.7. What is the second biggest value in 5, o, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 154, -3 in descending order.\nAnswer: 154, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1842770, 1842954, 1843138?\n\"Answer: 184*y + 1842586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 103 + 87. Does q = 64\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -285 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*r + 26, -2*r - 4*a = -r - 13. Let z(t) = t**2 + t + 1. Let n be z(-4). Calculate the highest common divisor of r and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*q - 5*d + 83, d = 3. Let g be (24\/(-14))\/((-1)\/q). Let z = -13 + g. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - a**2 - 4*a - 1. Let x(g) = -134*g**3 - 3*g**2 - 6*g - 904. Let y(q) = 3*w(q) - x(q). Differentiate y(r) wrt r.\nAnswer: 384*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857 is divided by 921?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l - 5251 - 24571 = 0. Sort l, -5, 5 in decreasing order.\nAnswer: 5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 7. Let g = 16 + b. Let k be 1\/(-3)*0 - -5. Solve 5*q + k = g*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101175 by 19.\nAnswer: 5325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83693 - 83693 - 4*v**3 + 167386.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 - 57*r - 6. Let p(n) = 2*n**2 - 42*n - 382. Let x be p(28). Determine b(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61254740 minus -541702?\nAnswer: 61796442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-243)\/(-45))\/((-12)\/40))\/((-6)\/(-20))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 675\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -13. What is the hundreds digit of 12\/(24\/s)*(-155 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j**2 + 52*j**2 - 19*j**2 to the form b*j + g*j**2 + s and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3)*(l\/(l*l*l**(1\/9)*l))\/l)**(18\/5)*((l**(-1\/3))**11)**(-2) assuming l is positive.\nAnswer: l**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 359213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 7, h: 3, u: 1, j: 1}. Give prob of sequence hhi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 106*k**2 - 220*k + 528. Is 5 a factor of i(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620 = -5*w - 6*g + 2139, -4*g = 2*w - 342 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -51. Let z be (4 - 1) + 2\/(-2). Solve j = s - o + 8, 0 = -3*s - 0*o - z*o - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 808.7 + -808.5. Which is the closest to -7? (a) 5 (b) -2\/11 (c) i (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 16*h**2 + h + 10. Let s be o(-8). Suppose -2072 = -5*c - s*b, -572 = -c + 2*b - 148. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150285 is divided by 249.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15016 from -79171.68957.\nAnswer: -94187.68957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 4. Let z = 30 + -30. Let j be r(z). What are the prime factors of j\/3*-12*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 14) to base 15\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 22 - (-5 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508 minus 28.22?\nAnswer: 1479.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b - 9. Let q be -6*(-10 + (3 - b)). Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 68. Factor -100*q - 100*q - 8*q**2 + 4*q**d + 204*q.\nAnswer: 4*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000835 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/65367 and -79\/2152.\nAnswer: 522936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 6\/(-4))\/((-29)\/(-58)). Which is smaller: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17958 + 30248. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/13 (b) -1\/4 (c) 1\/5 (d) 32 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**32)**6*((q**(1\/4)*q)**46)**(4\/19) assuming q is positive.\nAnswer: q**(2054\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 8. Let y be (-3)\/9 - (-35)\/(-3). Let f be y\/42 + 88\/14. List the prime factors of g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 43*w**2 - 6*w - 40. Is c(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*2546\nAnswer: 33098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*i - 2, -4*i - 8 = 5*m + 2. Let p = 0.35 + -3.75. Let h = p - -3. What is the third biggest value in 3, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 83*i**2 - i - 99. Let r(o) = 165*o**2 - 2*o - 196. Let s(a) = 3*r(a) - 5*x(a). What is the second derivative of s(c) wrt c?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 526347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - -56 - (-1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 4. Let t(m) = -2*m + 11. Let i = -451 + 446. Let z(h) = i*c(h) + 2*t(h). Calculate z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2245 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -183*m**2 - 112. Let k(j) = -11*j**2 - j - 1. Let n(u) = -2*k(u) + l(u). Find the second derivative of n(v) wrt v.\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1769, -1770, -1771, -1772, -1773, -1774?\n\"Answer: -w - 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.085 - -0.985. Let p = -6 + 3. Sort j, 15, 5\/6, p in descending order.\nAnswer: 15, 5\/6, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*u*v - 7488*u - 14*v**2 wrt v?\nAnswer: -25*u - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938 + 1078 = 14*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2570\/13 (b) -10\/7 (c) -5\/2 (d) -0.4 (e) -2 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 + 45*c - 140. Let k be p(3). Let n = -34 + 33.9. Are n and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/46 and 25 + -14 - 2677\/252.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 81483.22ng?\nAnswer: 81.48322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-52))\/3*(-74)\/370.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 802082069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*p**4 - 4*p**2 + 2*p - 347.\nAnswer: -180*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*f - 1236, 3*l = -2*f + 516 + 1342. What is the remainder when l is divided by 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*18\/(-252)*12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044673 (base 10) in base 11?\nAnswer: 1177214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:32 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 2*f + 5. Let s(r) = 2*r**2 + 3*r - 6. Let n(t) = -t**3 - 12*t**2 - 26*t + 4. Let a be n(-9). Calculate a*c(g) - 4*s(g).\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, 1 d, and 1 y when four letters picked without replacement from {v: 5, j: 2, m: 1, t: 4, y: 1, d: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 divided by -48417?\nAnswer: 745\/48417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -106*h**4 + 157*h**2 - 87*h. Find the first derivative of s(d) wrt d.\nAnswer: -2544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/30)\/(2*(-18)\/60)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 10. Let r(l) = 2*l + 21. Let z(x) = 9*q(x) - 4*r(x). Let u(y) = -y**2 + 8*y - 14. Suppose -2 + 44 = 6*k. Let m be u(k). Determine z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10954.3404 to the nearest 10.\nAnswer: -10950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695\/60*2470 + -3 + 5\/30.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 3250, 1\/4, -3\/2, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**2 - 7*g**2 + 5 + 2*g**4 - g - 9*g**2 to j*g**2 + i*g**3 + v*g + k + w*g**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1372 - 862. Suppose q = 2*o - 5*o. Calculate the remainder when o\/(-8) + 2\/(-8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*z**2 + 8655 + 10*z**2 + 1183*z**3 + 549 - 24*z**2 - 3535*z**3 wrt z?\nAnswer: -7056*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9579)\/(-868))\/103*1\/(-3).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let j = 0 + n. Let o = -277.92 - -276.92. Which is the closest to o? (a) -2 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83433 and 11477997?\nAnswer: 80345979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1379 + 1378 = 0. Sort -6, -3, m in decreasing order.\nAnswer: m, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-32)\/(-20))\/(7\/(485 - -5)) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7, e: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + w**4 + 4*w**4 + (3*w**2 - w**2 + 2*w**2)*(-2*w**2 + 0 + 0).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, -3, -12\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 20. Let l be o(22). Solve -7 + 9 = l*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11712383?\nAnswer: 43, 272381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20225870 and 2022587.\nAnswer: 20225870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 70 = -35*w. Suppose -10 = -t - 4*k, -2*k + 8 = t - 0*k. Solve -p + w = -t*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((2*sqrt(1200) + sqrt(1200) - sqrt(1200))*4 - sqrt(1200))\/(sqrt(42)\/sqrt(112) + (sqrt(6) + sqrt(12)\/sqrt(2))*-3))**2 + -4.\nAnswer: 154684\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/6 - 47*w**3\/3 - 46*w**2 - 4609*w. Factor u(i).\nAnswer: -2*(i + 1)*(i + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*g - 11, o = 2*o + 5*g - 20. Suppose -3*l - 3*t + 30 = 0, -2*t - 15 = -o*t. What is the second derivative of 11*k - 15*k**l + 8 - 7 - 1 wrt k?\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32597355?\nAnswer: 3, 5, 7, 283, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.049248, 0?\nAnswer: 0.049248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 197*c**2 - 7987*c + 325. Determine i(140).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l - 3*c + 2, 3*l = -c + 14. Suppose -4*p - 1 = -3*f - 2*p, -l*p = 2*f + 10. Let k(h) = -5*h. What is k(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6424 - 0.581. Let x = -2.7324 + 2.99. Let r = x + p. Round r to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22188\/19 + -20369705\/17442. What is the common denominator of -11\/171 and n?\nAnswer: 17442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526 divided by -7206?\nAnswer: -2263\/3603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 - 445366638*a**3 - 905*a**2 + 530965*a wrt a?\nAnswer: -24*a - 2672199828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1310*w - 1309*w - 1.\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695\/1540*1*88*8\/14?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 3. Let i be s(-6). Let c = -1 + 4. Solve 0 = -5*f - c*w + 4*w + i, w = 3*f - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 99312 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -l - 7. Let g(v) = -3*v**3 - 18*v**2 + 10*v - 7. Let h(a) = a**3 + 9*a**2 - 5*a + 3. Let p(d) = 2*g(d) + 5*h(d). Does 25 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110010231 (base 4) to base 9\nAnswer: -3102313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 25 = -14*y + z, z - 17 = -3*y. Solve -y*j - 14 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:45 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 43 + k**3 - 47 - 2*k**4 - 12*k**3 + k + k**2 to f*k**4 + p + y*k**3 + n*k**2 + t*k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154*v - 1200 + 276. Solve -1 = v*o - 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 10*p**2 - 9*p - 23. Let s be w(11). What is the tens digit of -7*1*(s + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3*z - 3. Let l be u(-2). Let f = -60 + 44. Let r be ((-4)\/f - -4) + 1\/(-4). Put r, l, 5 in decreasing order.\nAnswer: 5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 327132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89576362*23.\nAnswer: 2060256326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**6)*u*u*u**5)\/(u*u**(-8\/5)*u*u\/(u**15*u*u)))**(-6) assuming u is positive.\nAnswer: u**(-498\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**4 - 75*f - 1365.\nAnswer: 12*f**3 - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3)*21\/(-2). Let c be 5814\/272 - (-12)\/(-32). What is the second derivative of -23*j**2 - 3*j**2 + c*j - y*j**2 wrt j?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-616)*-63*(-6)\/135.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7698*p**4 + 3*p**2 + 52*p + 15503601.\nAnswer: -30792*p**3 + 6*p + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2732844*f**2 + 2732822*f**2 - 5465630*f**2.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*d + 3, -5*h + d + 21 = -0*d. Which is the nearest to 0.1? (a) h (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0407882 rounded to 4 decimal places?\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9.713 + -0.008215\nAnswer: 9.704785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -86*m - 6. Let c(p) = -172*p - 12. Let g(u) = -6*c(u) + 11*t(u). Let o be g(-2). What is the common denominator of (-11)\/88 + o\/(-16) and 37\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75 and 1.33553.\nAnswer: -100.16475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, n: 4, s: 3, j: 1, o: 1, u: 1}. Give prob of picking 2 m, 1 j, and 1 u.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118282322.\nAnswer: 2, 223, 265207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*u - 32 + 691, 1326 = 4*l + 2*u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*l**2 + 6800 + 140*l**2 + 106319.\nAnswer: l**2 + 113119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836525514?\nAnswer: 2, 17, 4177, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a**4 - 14*a*s - 232*s wrt a?\nAnswer: -16*a**3 - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44763 (base 9) to base 3\nAnswer: 1111212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 822 = 3*j + 4*y, -5*y + 1095 = 4*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/8525209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -28 + -4 + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + m - m)*(4*m**2 - 4 + 4) + 4*m**3 + m**3 - 6*m**3 + (3*m**2 - 5*m**2 + 5*m**2)*(-2*m - 4*m - m) to c*m + w + v*m**3 + u*m**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 28\/3*r**3 - 100 - 31\/2*r**2 + r**4 + 8*r. Find q such that o(q) = 0.\nAnswer: -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:08 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 31. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 + 24 - (-134)\/(-10). Let u = 134 + -139. Do q and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - (35 + 61 + -133)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880 - (-198)\/(-15 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10228, 41031, 92370, 164245, 256656, 369603, 503086?\nAnswer: 657105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142648 + 47550 + 47547 + 47550 - g.\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/120 and 25\/21.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 21. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-45) + 18\/5. Suppose 34 = n - b - 20, -5*b = o*n - 216. Let r = -31 + n. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w + 2220 = 58*w - 163*w for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31498084.\nAnswer: 2, 47, 167543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 - 4*a**2 - 6*a - 4. Let g(d) = 4 - 5 - 9*d**3 + 5*d**3 - d**2 - d + 5*d**3. Let l be 1 + (-5 - (5 + -7 + -1)). Give l*w(n) + 6*g(n).\nAnswer: 2*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 824762*h + 280*h**2 - 824762*h in the form a + p*h**2 + l*h + i*h**3 and give p.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2340)\/(-24)*7\/(21\/446)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, 17, 45, 71?\n\"Answer: -u**2 + 33*u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 8*u**2 - 2*u - 5. Let f be t(-9). Let m = f + -20. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7494 is divided by 2497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 2*r + 1. Let k(c) = -11*c**3 - 79*c**2 + 7*c + 1. What is -k(t) + 3*q(t)?\nAnswer: 11*t**3 + 85*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.433740626 to 3 decimal places.\nAnswer: -8.434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6805 + 7.\nAnswer: -6798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - 2 - (-104 - -151)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-5)*y)\/y))\/y*y*(y\/(y*y\/y**8))\/y*y*y\/(((y*y*y**(4\/7)*y)\/y)\/y)*y**(-7)*y assuming y is positive.\nAnswer: y**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/106 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7505 - 7462 - (-41 - 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) 0.2 (c) 5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24565\/289*(-96)\/80.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 105 + 119 - 293 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415 - 152. Let q = -186 + t. What is the remainder when q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 624931133 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 10*c - 70. Let r be i(-16). Suppose -k + 5*u = r, 5*k - 5*u = -15 - 15. Let o = 29\/1320 + 1\/120. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1601020 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/k)**(-38)*k**(-2\/7)*k*k**(-2\/21)\/k)**(-4\/15) assuming k is positive.\nAnswer: k**(-9416\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23275 (base 10) in base 6?\nAnswer: -255431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -7*z**3\/6 - 5*z**2\/2 - 7*z. Differentiate u(o) wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11237.53 + 64.53. Let r = h + 11077.78. Let m = 96 + r. What is m rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8795300773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q + 6. Let x(f) be the third derivative of 11*f**4\/24 + 7*f**3\/6 - 7642*f**2. Determine -4*r(w) + 3*x(w).\nAnswer: -7*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 183.\nAnswer: -4\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320311101 (base 4) in base 10?\nAnswer: -757073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)*l*l**(-27))\/(l*l**24\/l*(l\/(l\/l**(2\/5)))\/l*l) assuming l is positive.\nAnswer: l**(-302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 994*n*s**3*z**2 - 135*n*s**3 - 113*n*s**2*z**2 - n*s**2*z - 14*n*s*z + 2*s**2*z + s*z**2 wrt s.\nAnswer: 5964*n*z**2 - 810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 19*v - 46*v + 188 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-114)\/(-12))\/(-19))\/(1*2\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 2*y**4 - 3267371*y**3 - 3157*y**2 - 780*y.\nAnswer: 120*y**2 + 48*y - 19604226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 339 (b) -4 (c) -5 (d) 0.35 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 29348*w + 1347897. Calculate g(46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 - 3*r + 3*r)*(-32*r**2 - 10*r**2 - 14*r**2) in the form i*r + u + g*r**3 + t*r**4 + k*r**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 j when four letters picked without replacement from zhjjzjjhj.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203889 less than -28.2?\nAnswer: -203917.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -858\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 4851 = -10*l. What is the highest common divisor of l and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 295232*f**3*x**2 - 68*f**3 + x**3 - 35082 wrt x?\nAnswer: 590464*f**3*x + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - -14. Let a(v) = v**3 + 3*v**2 - v + 4. Let k be a(-3). Calculate the greatest common divisor of k and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 24 = -4*z, 0 = -z + d - 2*d + 6. Suppose z*a - 30 = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/7 of a week in days?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 708 - 548. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305292531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -758 + 757.9. What is the third biggest value in -3, -0.01, -0.02, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227949989 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 6809 + 6804 = x, 2*x = 3*f + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*c**2 - 55*c**2 + 42*c**2)*(-3 + 5 + 0)*(2*c + c - c)*(0 + 4 - 2).\nAnswer: -832*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -140*g + 433*g - 142*g - 145*g + 70 + 27. Give z(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + u**2 - 5)*(386*u + 344*u + 691*u - 209*u).\nAnswer: 1212*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -10433.9.\nAnswer: 10436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 1144*k - 1044*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126177 + 224177. What is h rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-30)*y**(-35))\/(y**(12\/11)*y*y**(-1\/13)\/y*y) assuming y is positive.\nAnswer: y**(-9583\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*w + 57*w = -153*w - 904 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1850\/1295)\/((-2)\/84*3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2, -2*z = 3*c + 3*z - 98. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 22*r + 1. Let k(g) = 231*g + 370. Determine k(x) - 11*l(x).\nAnswer: -11*x + 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5312 + -4696. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.7539472mm in nanometers?\nAnswer: 753947.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 5) in base 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wou when three letters picked without replacement from {w: 1, u: 1, o: 1, i: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63625.\nAnswer: 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (6*((sqrt(130) - (sqrt(130) - (2*sqrt(130) + sqrt(130))*-2)) + sqrt(130) - sqrt(130)))\/(6*sqrt(90)*1))*1)**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 - -227. Let g(s) = -9*s**2 + s - 1. Calculate g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8816, 15 in descending order.\nAnswer: 15, 3, -8816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88630 in -0.4, -3\/26, -0.5, 4, 2\/21, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by (0 + 222\/9)*171\/38.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 112, 163, 210?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*o**2 - 41 - 14*o**2 + 39)*(-2*o + 5*o - o).\nAnswer: 8*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-528)\/11)\/8*10\/(-12)*68\/(-9860).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.02, 4.1, 54, -4\/5, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(i + 2 - 2) + 0*i + 4*i - 3*i + (-3 + 4 - 2)*(-10*i - 57 + 57).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -2\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-76) + (-95)\/(4283265\/11413).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12390 and 295.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, w: 1}. What is prob of sequence bw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 7)*(2*i - 3*i + 5*i) in the form k*i + n and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34223724 divided by 41333\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3249761 is divided by 3095?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t + 500. Give v(0).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 - 104*g**4 - 1006*g**3 + 3776*g**2 - 2664*g = 0.\nAnswer: -37, -18, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29788153.47 to the nearest ten thousand.\nAnswer: 29790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 + (-39)\/(-9). Suppose -d*r = -15, r + 17 = m + 3*m. Solve 2*f = -2*t - 3*t - 18, -m*t - 19 = f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 + 2*s + 6. Suppose 3*k = 8*k. Let t be y(k). What is the third derivative of -23*i**2 - 3*i**t + 19*i**2 + 0*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g - 140. Calculate k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 755 - 750. Which is the nearest to 4? (a) -2 (b) 1\/3 (c) 0.19 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -317167, -634335, -951507, -1268683, -1585863, -1903047, -2220235?\n\"Answer: -2*m**2 - 317162*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*b = 101 + 23, 2*x = -3*b - 51. Let z = -5 - x. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -373 and -371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 + 106.3. Let v = w + 14.700124. Round v to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 2415?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.219075 centimeters in micrometers?\nAnswer: 92190.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + u - 2*u - 1 in the form l + r*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166550237277.99926 + 166553401051. Let g = m - 3163806. Let b = -33 - g. What is b rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4436, 12762, 21088?\nAnswer: 29414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.318415 days to weeks.\nAnswer: 2.188345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**3*f*f)\/f)\/f**(-3\/5))\/(f**(-2\/5)\/(f*f**(3\/7))))**(-5\/8))**(-2) assuming f is positive.\nAnswer: f**(225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34345535 - 2?\nAnswer: 34345533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from eyeeeeeeeeyee?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 - 5*z + 25. What is b(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:02 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Suppose -38 - 40 = -2*y. Suppose -y = -3*l - 0*l. Calculate the remainder when l is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - 6 - 5*r + 4*r**2 + 11 to the form x*r**2 + j + l*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2\/2 + 6*n + 3. Suppose -2 = -k - 4*l - 0, 0 = 3*k + 2*l - 6. Let d = k - 7. Determine u(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*o + 4*i + 14, 16 = -4*i. Let j(g) = -3*g - 5. Determine j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2. Let b be r(2). Let j be 98\/b - 1\/3. Differentiate 15*v - 3 - 39*v + 19*v - j with respect to v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96382.44 kilometers in millimeters?\nAnswer: 96382440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**2 + 2. Let x be m(-2). Let v = x + -74. Solve 4*q + 28 = -4*i, v*i = -i - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*j**2 - 126*j**2 - 12 - 24*j**3.\nAnswer: -24*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + h - 1. Let o = 228 - 229. Let b(k) = -12*k**2 - 4*k + 3. Give o*b(x) - 4*y(x).\nAnswer: 16*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/h*h*(h\/(h\/((h*h\/(h\/(h**3*h)))\/h)))\/h*h**(1\/16)\/h*(h\/(h*h*h*h*h**(-4)))\/h assuming h is positive.\nAnswer: h**(225\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10602169*l**5 + 224*l**2 - 1541*l + 3 wrt l.\nAnswer: 636130140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a + 233*a - 1846 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42460 (base 7) to base 12.\nAnswer: -6114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**5\/20 + 3*l**2\/2 + 2. Let z(m) be the second derivative of h(m). Let j(r) = 2*r**2. Calculate j(z(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/17*(-8)\/32. What is the smallest value in f, -4, 0.4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 1\/3*x**3 - 12 + 10*x + 0*x**2. Differentiate b(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66185 + 35975 = 16*k. Suppose 5*r - 11*n + 10*n = k, -5*r + 6385 = 2*n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157777130 and 1750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15299\/93 - -2955\/62. Let t = -213 + r. Suppose 5*g + 1 = 4*g. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60.74211 nanograms?\nAnswer: 0.00000000006074211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/16)\/18)\/(2\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-11)\/(-110)). Let i = 5 - 0. Let g(o) = -o**2 + i*o + 6*o + 6 - 5*o. Give g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45920 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -263*b**5*f**2 + 3*b**2*f - 32*b*f + 104*f**2 + 2 wrt b.\nAnswer: -5260*b**3*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.754 - -3813.32928?\nAnswer: 3816.08328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 2*z + 1. Let f be o(2). Let s be 22 + f\/(-1) + -2. Let g = 136 - 3. Calculate the greatest common factor of g and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4400.939 not equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouoi. Give prob of sequence ou.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/10 (c) -3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -35)*(-2 - 260\/8). Suppose -4*u + m = -2*w - 2*w, 0 = 5*u - w - 1400. Suppose 4*i + 3*c + 83 = 5*i, c + u = 3*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/3 - c**2\/2 - 4*c. What is the remainder when 24 is divided by r(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 2*u - 2*u)*(-191 - 135 - 2094).\nAnswer: -2420*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 - 6) - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 662415.26861 and -0.09337.\nAnswer: 662415.17524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -113.2\nAnswer: -1018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15495521, -30991043, -46486565, -61982087?\nAnswer: -77477609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -512\/5 + 104. Let c be 1 + (114\/(-10) - -12). Solve c*g + 2\/5*g**2 + x = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*a - 155765 = -141509 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)\/t)\/((t*t*t\/t**(2\/7))\/t*t)*((t\/t**(-1\/3))\/t)**(-38) assuming t is positive.\nAnswer: t**(-323\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2679.9 - 2684. Which is the third biggest value? (a) -1\/4 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319.95 + 320. Let j = -2.92 - -3. Let m = j + s. What is m rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.7 (c) -21686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/350337009 or 0?\nAnswer: -5\/350337009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2\/2 + 18*u + 3. Let o be z(14). Solve o*t = 1 - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b + 5. Let m be b\/(1*1\/6). Let h(n) = n**2 + 6*n + 4. Let v be h(m). Solve 0 = -v*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028*y + 1388*y + 1963*y.\nAnswer: 2323*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50592647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/19 + 2*p**4\/19 + 18*p**3\/19 - 2*p**2\/19 - 40*p\/19 - 24\/19 = 0.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332 + -671\/2. Let b be 190\/1045*22\/16. What is the fourth biggest value in b, 0, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241135901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369)\/41*(((-8)\/(-20))\/2)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1202564723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 + 2*c - 4. Let a be z(-3). Suppose -8*n + 5*n = -30. Suppose -n = -h + a. What is the least common multiple of h and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*((1*sqrt(396) - 3*(sqrt(11) + 1)) + (2*sqrt(121))\/sqrt(11) + 2))**2.\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2874 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 49. Suppose b = -5*j + 128. What is the common denominator of 0 + (174\/j - 0) and -6\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(1\/4)\/m)\/m)\/m)**(10\/11)*((m\/(m\/(m\/(m*m*m**(-5)))))\/m)\/m**(-6) assuming m is positive.\nAnswer: m**(163\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/(t*t**3*t))\/(t**(-4\/5)\/t)**(4\/9) assuming t is positive.\nAnswer: t**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -88?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -2*sqrt(1216)*-6 - (2*sqrt(1900) + sqrt(1900))*-3*-4)**2.\nAnswer: -7945398 + 9504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.2, 5\/12, -2, 0.07, -4, 62?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 take away -988?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*r**3 + 77*r**3 + 134*r**3 - 9*r**3 - 75*r**3 + 112*r**3.\nAnswer: 372*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**4 + 130*w**3 - 1085*w**2 + 2940*w = 0.\nAnswer: 0, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:40 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 - -169. Solve -t*m + 20 = 3*j, 5*m + 4 = 4*m + 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31497, -125965, -283411, -503835, -787237, -1133617?\nAnswer: -1542975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/25 + (1218\/390)\/7.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 20 = -9*b. Suppose -3*k = -5*k + 8, 2*d - b*k + 6 = 0. Solve -3*c = -2 + d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14924 and 1242514.\nAnswer: 101886148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26773 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 3}. Give prob of sequence llgl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 9) to base 11\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f - 3. Let k be 2 + (37\/(-13) - f). Let p = 0.2668 + -0.0668. Put k, p, -3 in descending order.\nAnswer: p, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -6 - (0 - -1)*-2. Suppose -i - y = 0, 2 = 2*j + 5*i - 3. Solve -j*p = -12 - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t + 4*t**2 + 15 - 6 + 20*t**3 - 18*t**3 + 7*t. Let z(d) = -d**3 - 2*d**2 - 3*d - 4. What is -4*m(w) - 9*z(w)?\nAnswer: w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -764, 356, 1476?\n\"Answer: 1120*m - 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 315978 at most as big as 316092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = 21544 - 115414. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24361*f + 1084*f = 3180625 for f.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 0*g**3 + 3*g**3 + 4*g**2 + (g - 2 + 2)*(-17*g**2 - 14*g**2 + 11*g**2).\nAnswer: -19*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.056368 to 2 dps.\nAnswer: 146.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k\/k**5*k)**(6\/31) assuming k is positive.\nAnswer: k**(-48\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6120303 is divided by 2528.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258\/(-8)*(8\/(-2))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 2*n - 5. Suppose 3*l + 0*l - 12 = 0. Give t(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.83 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03083018 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -4, -1\/2, 1, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4452, -8908, -13364?\nAnswer: -17820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*g + 95, -15 = 5*g + 70 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and -57.632?\nAnswer: -19.59488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 3, -1 in decreasing order.\nAnswer: 11, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*8\/21 + (-3)\/(-7). Sort -2, j, -4, 2 in descending order.\nAnswer: j, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:30 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -3\/2*f**3 - 1\/30*f**5 + 0*f + 9*f**2 + 0 + 0*f**4. What is the derivative of z(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 5.1. Let p = q + 6.499946. What is p rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66005 and 198015?\nAnswer: 198015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(6\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 2*n**2 + 4*n**2)*(-107*n - 101*n - 23*n - 156*n).\nAnswer: -774*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 14. Let m(r) = 3*r**2 + r - 3. Suppose -3*o - 31 = 2*l - 35, l - 5*o = 2. Let y(p) = 10*p**2 + 3*p - 9. Calculate l*y(f) + q*m(f).\nAnswer: -f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111140?\nAnswer: 2, 5, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168674804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/(-33) + (-4)\/(-6). Let m(c) = c + 1. Let f(y) = 12*y + 10. Determine s*f(w) + 22*m(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29196, -29177, -29128, -29043, -28916?\n\"Answer: o**3 + 9*o**2 - 15*o - 29191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42028948.\nAnswer: 2, 13, 79, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*k - 663, -w + 237 = -0*w + 2*k. Suppose -3*d + 4*n = 58, 5*n = n + 16. What is the remainder when w is divided by -1 + 4 - 756\/d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -2 + -14 - (-4 - (6 - 8) - 40).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**3 + 11*l**2 - 24. Let a(o) = 5*o**3 + 4*o**2 - 8. Let i(j) = -11*a(j) + 4*z(j). Determine i(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731 divided by 731.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9372 + -9371.62004. What is p rounded to three dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1304997*s - 3. Let q = 76 - 66. Suppose -q*o - 3 = -7*o. Let b be x(o). What is b rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 4*o - 2. Let h be -1 + ((-4)\/(-4) - -2). Calculate r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**(-13)\/(c**0)**(-21) assuming c is positive.\nAnswer: c**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9b (base 14) to base 3\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*c = -237*c - 3*m - 27, 3*c = -4*m - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0887558 milligrams to micrograms.\nAnswer: 88.7558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04083 rounded to 3 decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 12 - 3 + 2*q**2 + 22.\nAnswer: 2*q**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -116, -1, -0.1 in descending order.\nAnswer: -0.1, -2\/7, -1, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smsyqysmsmxyyx. What is prob of picking 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/((-42)\/70)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/6 - 5*p**3\/6 - p + 28. Let i(u) = 2*u**2 - 6*u. What is -5*i(w) + 6*l(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 350170226 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -68, 0.4, -2\/13, -0.24 in increasing order.\nAnswer: -68, -0.24, -2\/13, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.717848l in millilitres?\nAnswer: 9717.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/20 - c**4\/12 + 3*c**3\/2 + 3*c**2 - 188*c + 1. Give z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 + 159. What is the common denominator of g + (5 - 134\/20) and -53\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((3 - 2) + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15258.53 from -0.08.\nAnswer: -15258.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**21*s*s*s*((s*s**(-1\/3))\/s*s)\/s assuming s is positive.\nAnswer: s**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 1451.8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154931*w**4 - 6*w**3 + 852914*w?\nAnswer: -1859172*w**2 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -4251 = -12749\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 - 1067 + 352 = -20*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2263682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -0.2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.205 * -6380.\nAnswer: 33207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 - 288 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1090 divide 165456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12135 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let c(q) = q**3 - 2*q**2 - q. Let t be c(m). Is 7 a factor of -2 - 28\/t - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1\/2*6. Suppose -4*a + 2*l + 28 = 6*l, r = -5*a + l + 17. Solve -a*k = -5*v + 17, -3*k + k + 4*v = 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 1 + 2*m**3 + 7*m**2 + 22*m**2 - 12*m**2 - 5*m**3 in the form r*m + j*m**3 + k*m**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -375933.1719285 + -2331774.628062. Let j = u + 2707703. Let k = j + 4.8. Round k to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954761917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 516 - 250. What are the prime factors of y?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -1.1. Which is the nearest to 4\/7? (a) -0.1 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 3:48 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4160 and 1360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 3*d - 3*d)*(-16*d + 19*d - 15*d)*(-2*d + 4 - 4).\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8966248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**5 + 78*l**4 - 78*l**4 + (-22*l**3 - 26*l + 26*l)*(4 - 4 - l)*(-1 + l + 8 - 2) - l + l + 2*l**5.\nAnswer: 12*l**5 + 110*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 (base 6) in base 10?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.140173602 to four dps.\nAnswer: 3.1402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 9. Let w(d) be the second derivative of -d**3\/3 - d**2\/2 + 28*d. What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.06, 0.5, -1\/5 in increasing order.\nAnswer: -1\/5, -0.06, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1965, 14, 0, 5 in descending order.\nAnswer: 14, 5, 3, 1, 0, -1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 + 19*a**5 - 3*a**5 + a**5 + 3*a**5 + 5*a**5 + (-3*a**2 + 3*a**2 - a**4)*(1 - 1 + 2*a).\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*k + 47 = 8*k, 4*j - 4*k + 52 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*d + 14, -3*d = -2*l + 7*l - 42. Let a(p) = p**3 - 6*p**2 + p - 1. Let z be a(l). Calculate the lowest common multiple of 4 and (6 - 1)*3\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g)\/(g\/(g*((g*g**25*g)\/g)\/g)*g*g) assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 - 5*z - 3. Let s be v(-7). Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 1. Let r be j(1). Let i(x) be the third derivative of -x**2 - 1\/96*x**4 + 0*x + 0*x**r + 0 + 1\/240*x**5. Factor i(g).\nAnswer: g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-3)\/6 + (12 - 6). Suppose 2*z = -3*z. Suppose d + r - 7 = z. What is the third smallest value in d, 5\/6, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 115, 1 in ascending order.\nAnswer: -331, 1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**2 + 377844*s + 1889320 = 0.\nAnswer: -5, 94466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17\/6)*j)**(-34)\/(j\/(j**(-1\/5)*j))**(16\/7) assuming j is positive.\nAnswer: j**(6497\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/290 and -27\/116?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1225 + 1208 + (-4 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7\/(n*n**7\/n*n)*(n**(1\/4))**(47\/5) assuming n is positive.\nAnswer: n**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(6)\/(sqrt(36)\/(sqrt(12) + sqrt(48)\/sqrt(4)))*3)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3294 - 82348\/25. Let s(a) be the first derivative of 0*a**2 - 10 - u*a**5 + 0*a + 1\/30*a**6 + 0*a**3 - 3\/20*a**4. Factor s(q).\nAnswer: q**3*(q - 3)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34570*9.8.\nAnswer: 338786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 417628, 835264, 1252902, 1670542, 2088184, 2505828?\n\"Answer: n**2 + 417633*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + sqrt(125) + -4 + -1)) + 3*sqrt(125) + -1)**2 + 2.\nAnswer: 80*sqrt(5) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (68\/(-2618))\/((14\/(-70))\/((-21)\/5)). Let j = 0.25 + -0.3. Put l, j, 4, 2\/7 in descending order.\nAnswer: 4, 2\/7, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 - -17.17. Let c = 6298.076 - 6281. Let z = r - c. What is z rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/605)\/(((-2)\/20)\/(11\/(-22))).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b**4 + 135*b**3*y + 2427358*y with respect to b.\nAnswer: -120*b**3 + 405*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*(-2 + 1\/(-1) - -2). Let s(b) = 3*b. Give s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306471 divided by -3?\nAnswer: -102157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*y = -148, l + y = -2*y - 64. Let t = -53 - l. Which is the nearest to -1\/4? (a) t (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(637))**2 - sqrt(78)\/((sqrt(12)\/sqrt(2) - sqrt(6))*-4 - sqrt(6)) - (-2 + (sqrt(468) + -1)*3)*4.\nAnswer: -71*sqrt(13) + 10212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1192747, -28, 1, 2 in decreasing order.\nAnswer: 2, 1, -1, -28, -1192747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -22221?\nAnswer: 22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5250?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**2 - 3*h**2 + h**2)*(13 - 22 + 18) in the form i*h + a + p*h**2 and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24270889*d**4 + d**2 + 645590*d wrt d.\nAnswer: -582501336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -5, 11, 33, 61, 95, 135?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7924152.\nAnswer: 2, 3, 41, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55747086 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (1 + -102))*1. Suppose 0 = 6*i - 11*i + m. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -3. Let n = -5 - 0. Let a = v + n. Solve -u - 12 = -a*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 454228218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2040 - -1382. Let l = 674 + f. Solve h + l = 3*u + 3, 15 = h + 4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4. Is l*2215\/((-15)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9aa8 (base 11) to base 16\nAnswer: -33fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8182)\/(-60) + (-2)\/(-15). Let t = r + -119. Find the common denominator of (-427)\/36 + (-22)\/99 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 197*q = 9225 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {b: 9, c: 1, q: 1, y: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1716619*x + 1716545*x + 4514 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8818 - -8827. Let u(o) = 1. Let y(k) = 3*k**2 - 8*k - 6. Let b(s) = -5*u(s) - y(s). Let h(d) = 7*d**2 - 17*d - 2. Determine p*b(m) + 4*h(m).\nAnswer: m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.759998873 + -23.76. Round c to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5391 and 7655220?\nAnswer: 5391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.41?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Let l = n - 3. Let w be ((-208)\/(-20))\/(-4) + 3. Which is the second biggest value? (a) -2 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241221 (base 8) to base 13.\nAnswer: 2b781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 8*p + 6. Let h be i(-8). Let l(g) = g**3 - 2*g**2 - 2*g - 5. Is l(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 97801 and 5410.\nAnswer: 103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*q - 4, a + q - 7 = -4*q. Let u = a + 5. Let r(o) = -6*o - 2*o**u + 6*o. Let h(m) = 2*m**2. Calculate h(r(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 18 - 162 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(15))\/sqrt(3) + -3*sqrt(245))*-4.\nAnswer: 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (6 - (-6 + 12))) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + 90*o**2 - 655*o - 23039. Give w(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yca when three letters picked without replacement from {c: 1, y: 2, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.6 + -163. Let v = -109 - i. Let q be (5 - 2) + -1 + 0. What is the nearest to -1\/3 in -2\/11, q, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*4\/(-576)*8*-87.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64768, 64774, 64784, 64798, 64816, 64838?\nAnswer: 64864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -3375078854.\nAnswer: -3375078849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4*n**3 + 115*k**3*n**3 + k*n**3 - 21*n**3 wrt k?\nAnswer: 24*k**2*n**3 + 690*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47258881 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 244 = -2*q, 14*f + 5*q = 15*f - 70. What is the least common multiple of f and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/3 + 353752*x**3\/3 + 10428373125*x**2 - 353752*x\/3 - 31285119376\/3 = 0.\nAnswer: -176876, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22\/(-33) + 25229\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 88*u**3 - 43*u**3 + 6*u - 46*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/237995201 and -13\/157.\nAnswer: 237995201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 10. Let a = 42 - 42. Is 10 a factor of p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c. Let x(l) = -l. Let p(f) = 2*w(f) + 36*x(f). Let v(q) = q**2. Determine p(v(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 - -2 - (52 + -34 + -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (203*z + 140*z + 121*z)*(-z + 10 + 2*z - 3).\nAnswer: 464*z**2 + 3248*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 - 145*q**2 - 184*q + 188 = 0. What is q?\nAnswer: -47, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 f when four letters picked without replacement from auahmuaffmaf.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (2*sqrt(343))**2 - sqrt(112)*4.\nAnswer: -1372 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let g(j) = 6336*j**2. Determine r(g(t)).\nAnswer: -40144896*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15\/233, -5\/2, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 3. Let h be t(-4). Let n = -4020 - -4025. Put 3, -3, h, n in descending order.\nAnswer: n, 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1420?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-981)\/27 - -1)\/(5\/(-285))?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3184 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -2*x**6\/15 + 11*x**5\/5 - 13*x**4 + 30*x**3 + 71*x. Factor v(g).\nAnswer: -4*g*(g - 5)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1900 + 3625. Suppose j - 29 = 5*k, k = 2*j + 3 - 16. Suppose j*v + q = 8085. Round v to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3040 + -4?\nAnswer: -3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25 - -28)*(48\/9)\/(-4). What is the nearest to o in -4, 4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 - 20618472*i**2 + 41236936*i = 0.\nAnswer: 0, 2, 10309234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -7 (b) 0 (c) -0.129 (d) -0.2 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 2:40 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -11*f + 984. 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 -9819000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Suppose 3*i + 3*l = -x*l + 27, 4*l = -20. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.014, 9\/2, 0.5, -3 in ascending order.\nAnswer: -3, -0.014, 0.5, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + 15502?\nAnswer: 15410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*t + 5*t. Let i be (t\/4)\/((-3)\/20). Solve 15*j**4 - 12*j**3 - 11*j**4 - i*j**2 + 5*j**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z + 2. Give m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*y = 340, 29*o - 33*o = -2*y - 686. What is the remainder when 681 is divided by o?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.028 + -0.972. Which is the third smallest value? (a) 2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 150*t**2 + 2.\nAnswer: -150*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1254\/360)\/(-11) - ((-575)\/(-276))\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68260?\nAnswer: 2, 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-1)\/18). Let s = o - -29. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t + 102*t = -308. Find the second derivative of 15*q**4 + t*q - 122*q**4 + 31*q - 56*q**4 wrt q.\nAnswer: -1956*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -441 - -441. Factor c + 2\/5*z**2 - 4\/5*z.\nAnswer: 2*z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153237 (base 9) in base 4?\nAnswer: -2120300032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from hdorhoal.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 20. Let d be (-3)\/q - (-26)\/(-14). List the prime factors of d\/(-3) - (-86)\/6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10686, 10713, 10778, 10899, 11094, 11381, 11778?\n\"Answer: 3*q**3 + q**2 + 3*q + 10679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -243998620 divided by 47?\nAnswer: -5191460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436657, 3493005, 11788759, 27943621, 54577293, 94309477?\nAnswer: 149759875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(-1782)*-6)*(-45)\/15?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*v**6 - 3737*v**5 + 10*v**2 - 18*v - 6.\nAnswer: -600*v**3 - 224220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152 - (-882)\/(-6)) + -3 + (18*4 - -1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705807 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4500) + sqrt(4500)*-1 + sqrt(270)\/sqrt(6) + 3 - (-5 + (3 + (-3 + sqrt(20)\/sqrt(4) - sqrt(5)))**2*-5).\nAnswer: 3*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -34*z**2 - 5*z + 76. Let s(h) = -16*h**2 - 2*h + 37. What is 2*i(y) - 5*s(y)?\nAnswer: 12*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1405, -1355, -1293, -1213, -1109, -975?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3620549, -3620547, -3620543, -3620537, -3620529, -3620519?\nAnswer: -3620507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 82 = b - 4*r, -4*b = 2*r + 50. Let d = -12 + -37. What is the units digit of 14\/d - 46\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 - 55*c + 150 = 0. Calculate c.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -64. Suppose -5*q = -616 - 239. What is the greatest common divisor of q and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 282.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48327 + 49967 = -69*y + 28*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 155*g + 47981. What is a(-311)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 73?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a - 1. Let x(l) = 3*l**2 - l + 2. Let q = -9 + 7. Let n(f) = q*x(f) - 4*k(f). Find v such that n(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 3, 8\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.71349km to nanometers.\nAnswer: 42713490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12889734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)\/((-2)\/(-140)). Calculate the common denominator of 145\/4*(-21)\/j and -17\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -1370, -1393, -1436, -1505?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 618198388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133392 divided by -104?\nAnswer: -10898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6584)\/(-40) - 12) + -1 + 6\/15. Calculate the greatest common factor of n and 1938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 7, w: 3, c: 2, h: 2}. Give prob of picking 1 w and 1 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14 = -0*l. Let r(y) = 9*y + 2. Suppose 4*g - 2*g - 5*w = 9, 0 = -g + 3*w + 6. Let j(f) = 4*f + 1. Calculate g*r(i) + l*j(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 52*m - 166. Let w be n(55). Is w greater than -4\/655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45659 * -5.\nAnswer: 228295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/72*(-180)\/(-110)*11\/2. Determine n, given that -y*n**3 - 3\/2*n**2 + 0*n + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + 1*sqrt(2299))*-2 + -2 + -2*1*sqrt(2299) + 4)**2.\nAnswer: -616*sqrt(19) + 36833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 110 = 2*a - a, -112 = -a + 3*q. Let z = a - 79. What is the highest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10*z - 8 = 0, -a - 62*z + 4 = -59*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 95561 and -410774.\nAnswer: -315213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 101 = -355. What is the remainder when a is divided by 4\/(-1 - 81\/(-45))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5464804, -5, 7 in decreasing order.\nAnswer: 7, -5, -5464804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.5 and -0.03?\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 - n - 6*n**2 - 3*n**4 + 6*n**2 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g**3 + 13*g**2 + 7*g + 4. Let t(h) = -5*h**3 + 6*h**2 + 3*h + 2. Let u(b) = -6*m(b) + 13*t(b). Let u(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*z + 32*z - 290. Let y = z + 150. Suppose -2*m - 3*m = -5, y*s - 14694 = m. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - o - 90, 2*a - 94 = -o + 4*o. Let m = -8951 - -8951. What is the closest to a in 0.5, m, -5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*i, -v = -i - 0*i - 3. Suppose -8 = 3*b - 29. Calculate the lowest common multiple of 20\/i + -4 + 14 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 25. Solve z*g = -3*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -0.07. Let x = z - 0.14. Let n be (-2)\/4*(1 + -7). What is the nearest to 0.1 in -3\/5, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -296105 (b) 0.3 (c) 6\/19 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2192 and 0.1.\nAnswer: -219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**2 + 2*l + 1. Let y be a(2). Let d be (1 + 5)\/((-1)\/4). Let r = 31 + d. What is the greatest common factor of y and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -24, 34, 74?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5 - 5 - 6 + 8 + 11*x. What is the units digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l - 24. Let h be 30\/4*(-40)\/l. Is (h\/2)\/(1\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2256 is divided by 2246?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*(336\/(-18))\/(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -49. Suppose 0 = -3*j - o - 175, -6*o + 2*o - 280 = 5*j. Let q be 2\/(-9) - j\/27. Solve q*g + s = -0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 16 = 4*j, 5*j + 13 = -3*i - 0*j. Let b(o) = -o**3 + 5*o**2 + o - 4. Calculate the lowest common multiple of i*(3 - (0 + 2)) and b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544141949 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94906 + 2*m - 49*m**3 + 21*m**2 + 94906)*(3*m**2 - 2*m**2 - 2*m**2).\nAnswer: 49*m**5 - 21*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 + 845*u**2 - 33495*u - 189225 = 0.\nAnswer: -5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/15 - 1616*t**4\/15 + 326426*t**3\/15 + 4852*t**2\/15 - 982528*t\/15 + 652864\/15 = 0.\nAnswer: -2, 1, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a0 - -d?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = k. Differentiate 19*h + 5 - 9 - k with respect to h.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5331*t**2 - 17*t + 55. Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21365.\nAnswer: 5, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a + 2 + 5\/3*a**3 - 1\/2*a**2. Let d be z(-1). Let y(n) = -n - 1. Determine y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -249*l**3 + 18*l**2 + 39*l - 18. Let y(f) = 62*f**3 - 4*f**2 - 9*f + 4. Calculate 2*t(i) + 9*y(i).\nAnswer: 60*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 bigger than 4151\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrro when four letters picked without replacement from {r: 6, j: 1, o: 1, s: 1, n: 6}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 18. Suppose -46 = 5*h - p. Let m = h + 54. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 + 1405. Is 1\/4 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -9 + 17 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 36*u**3 - 15 + 29.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.01. Let i = 0.29 + p. Suppose t - 3*n - 5 = 6, 3*t = 4*n + 18. Which is the second biggest value? (a) t (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 10*r**2 + 22*r + 10. Let b be (29\/(319\/154))\/(0 - 2). Let g be a(b). Factor -1\/2*w**4 + 0*w**g + 3\/2*w**2 + w + 0.\nAnswer: -w*(w - 2)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380053155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789267, -789238, -789209?\nAnswer: -789180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 291.9746 days?\nAnswer: 7007.3904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k + 146. Let w = -2 - k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816036453 take away -0.34?\nAnswer: -0.476036453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(77) + sqrt(77)*-3) - sqrt(77))*4*-4)\/((sqrt(88)*-2*2)\/(-4*sqrt(32)\/sqrt(4))).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 753 + -746. Suppose -4*w - 14*o = -s*o - 3741, 0 = w + o - 936. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2522 + 2693. What is the highest common factor of 333 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-117)\/(-42)*-6 + 2. Let p = v - -15. What is the closest to 0.2 in -5\/3, p, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 14*p**2 - p + 16. What is f(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17. What is the tens digit of -347*(-5 + 4) - k\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*y + d, 2*y - 2*d - 2 = -3*y. Suppose 185 = f - y*l - 165, 0 = 5*f - l - 1723. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**5 - 3889604*f**4 + 46675680*f**3 - 140027472*f**2 = 0.\nAnswer: -972413, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 1\/4 (c) 0.4 (d) 2 (e) 1\/28 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 233271, 233262, 233253, 233244?\n\"Answer: -9*l + 233280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + -86 - (1 + 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 496175102, 992350202, 1488525302, 1984700402?\nAnswer: 2480875502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-748)\/(-55)*(-5)\/(-2). Suppose 2*r + j - 5 = r, 4*j = 5*r - s. Let n(b) = 5*b - 6. Let y(h) = 36*h - 42. Let g(i) = -15*n(i) + 2*y(i). Calculate g(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001444458 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 64*l. Let m(s) = -16*s - 1. What is q(m(h))?\nAnswer: -1024*h - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -68\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 22. Give a(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/15)*s*s**10*((s*s**(1\/19)\/s*s*s*s*s)\/s)\/s**6)**(-3\/4) assuming s is positive.\nAnswer: s**(-2333\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 383 and -639133?\nAnswer: -244787939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -18\/7 - 9\/7*j**3 - 51\/7*j - 45\/7*j**2 + 3\/7*j**4 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 15*b - 2*b - 6*b - 8*b to the form f*b + r*b**2 + v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900924.6 meters to millimeters.\nAnswer: 900924600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -58 - 23*r + 122 - 10*r**3 - 26*r**2 - 89. Let l(y) = -14*y + 9 - 7*y**3 - 17*y**2 - y - 26. Let d(m) = 7*l(m) - 5*z(m). What is d(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 - 25*c + 232. Does 2 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 5*b - 16*b - 3 - 3. Let i(u) = 10*u**2 + 31*u + 10. Let x(j) = 2*j**2 + 6*j + 2. Let w(s) = 2*i(s) - 11*x(s). Give 6*t(l) - 17*w(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 21911*h - 197385. Calculate n(9).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174687343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -19. Let a be s + (2 - 12\/3). Let k(i) = 2*i - 7. List the prime factors of k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 40 = 40*w. Let m = 17 + -17.7. Let q = m + 0.8. What is the closest to -2\/5 in w, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.7 - -52. Let d = t + 1.7. Sort 6, 1\/4, d.\nAnswer: d, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 4 = -42*d. Solve d*p = p + 2*o + 2, 5*o + 5 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from ikkym.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1272 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -19\/2 and -212\/9555 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2697.164 litres?\nAnswer: 2697164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32280 - 5?\nAnswer: -32285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-1740)\/(-24))\/(-29). Solve s + k*v = 2 + 18, 3*s + 20 = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 2*z - 103. Let v be s(-7). Solve v - 26 = -5*w + 4*h, 5*w = -h - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12071)\/(-4))\/((-31)\/(-124)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32654 divided by 29.\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 6*r = -7. Let n(v) = -29*v**3 - v**2. Determine n(r).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + -0.02. Let j = m - -0.55. Which is the nearest to 0? (a) -4 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-4) - (4 - (-156606)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -116, -293, -532, -827, -1172, -1561, -1988?\nAnswer: -2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 2*s**2 + 4*s + 39. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.204 + 1.119?\nAnswer: 0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-240)\/45)*(-10)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -250 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1234*c*z**6 - 2391*c*z**4 - 278*c*z**2 + 2*c + z**2 + 9*z - 5 wrt z?\nAnswer: 148080*c*z**3 - 57384*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -548*l + 217 wrt l?\nAnswer: -548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104892654?\nAnswer: 2, 3, 19, 31, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121 + 70 + 1192*a + 51 to the form b + n*a and give n.\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1202 at least as big as -1916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -250 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/5 - 288*n\/5 + 1088\/5 = 0 for n.\nAnswer: 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 8 = -x - 2*z, -2*z = -10. Let q be 3 - (x + 3)\/(-2). Let u be 4\/12 + (-2)\/6. Solve -5*b - q = -4*s, u*b - 2*b + 5 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*a = 18, 0 = p - 3*a - 2. What is the units digit of (385 - (-5 - p)) + -1 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2096\/8077?\nAnswer: 2096\/8077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3639510 and 259965?\nAnswer: 3639510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 16*f**2 + 2*f - 11. Give m(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-12)\/(-9). Suppose -u = -0*j - d*j + 10, 0 = 5*j - u - 19. Let l(z) = z**3 - 3*z**2 + 4*z - 4. What is the units digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 15 - (6 - 4 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (170 - 157) + 1286 + 1. Calculate the greatest common factor of j and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 43, 82, 137, 208?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -1785, -4023, -7157?\nAnswer: -11187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -206 + 405 - 201 - 255*o**3 - 2*o as b*o**2 + r*o + g*o**3 + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 2\/7, 10, 0.6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038927171?\nAnswer: 3, 17, 43, 89, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -62*o**2 - 309*o - 1. Determine s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2. Let q(w) = 2*w - 4*w + 2*w + w. Calculate q(j(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635379 times 3?\nAnswer: 10906137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 44124*z - 4 + 3 - 89079*z + 44594*z in the form y + i*z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n**4 - 353*n**3 - 1308*n**2 - 1348*n - 112 = 0. Calculate n.\nAnswer: -28, -2, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2665461, -5331035, -7996619, -10662219, -13327841, -15993491, -18659175, -21324899?\n\"Answer: -l**3 + l**2 - 2665570*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = 4*a, -6*p = -2*a - 7*p. Let c(h) = 46*h - 95*h - 2 - a + 47*h. Let l(o) = o + 2. What is -3*c(k) - 5*l(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(832) + 1)*-3 + 2) + 5*(-5 + 1 + sqrt(832) + 4))**2.\nAnswer: -32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -9*p**5\/20 + p**4\/6 - p**3\/3 - 2*p**2 + 3*p. Let d be -1 + (-14)\/(-10) - 68\/20. Is h(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 29*n - 70. What is l(19)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -3\/4 (b) -27 (c) 1 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135805688.\nAnswer: 2, 37, 271, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 234, 363, 490?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47 and 3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 49*t - 584. What is d(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - -0.05. Let g = 0.18 - f. Let p = 0.3 - 0.8. What is the second smallest value in p, -3, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + d + 1767, -3*b - 2*d + 1320 = -d. Let y = b - 438. Solve 7*m - y*m = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65104 + 4*u**3 - 13*u**3 - 32559 - 32545 + 7*u**2.\nAnswer: -9*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 8 - 15. Let x = i + -4. Let u be -2 - -32 - (0 - 3). Calculate the highest common divisor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/6, -0.7, -7, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*z**5 - 1388*z**5 + 1723*z - 3140*z**5 wrt z?\nAnswer: -92120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 51 = 4*c. Let q = -688 + 470. Let p = -214 - q. What is the lowest common multiple of c and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -832\/425 - -46\/25. Let m be 505\/40 + (-5 - 8). Which is the nearest to 0? (a) 5\/2 (b) 1 (c) j (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s**2 - 9992. Let u(o) = -88*o. What is b(u(n))?\nAnswer: -147136*n**2 - 9992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 3*h + 6930. Suppose l = 5*j + 4*l - h, -630 = -5*j + 2*l. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + (-15)\/21. Let n(q) be the second derivative of q**4\/3 - q**3\/6 - q**2\/2 + 9*q. Let h be n(i). Solve -h*b = 11 + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 4, 1\/45, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2067\/7 + 386522\/1309. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*o**2 + 52555*o - 62913732?\nAnswer: 184*o + 52555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2055 + -2054.6. Let v = 3.01 - 3. Sort 0.3, n, 4, v.\nAnswer: v, 0.3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 12. Let c(h) = -4*h**2 - 5*h**2 + 5*h + 7 + u*h**2 + 6*h**2. What is c(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.786997714 + -0.787. What is k rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (10 + -3 + (-12 - -10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 297 = -28*q - 93 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13984 (base 11) to base 7\nAnswer: -111525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40324*20\nAnswer: -806480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 47472 + 47472 + 46*i**2.\nAnswer: 46*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.783 - -67062404\nAnswer: 67062405.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/90 + 8*s**5\/45 + 39*s**2. Factor d(g).\nAnswer: 4*g**2*(g + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/(((-6225)\/1660)\/((-9)\/(-12)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1.3847?\nAnswer: -1.1847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + t**2 - 3*t**2 + 198*t - 200*t.\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 35104703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - p**3)*(p + 2*p**2 - 6*p**2 - p**2 + (3*p - 2*p + p)*(0 + 2*p + 0) - p**2 - 2*p**2 + 4*p**2 + 108*p**2 + 65*p**2 + 33*p**2).\nAnswer: 412*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 + 8*r + 10. Let f be o(8). Calculate the highest common divisor of f and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/7, 0.44, 1\/234, 48 in decreasing order.\nAnswer: 48, 0.44, 1\/234, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278.37 - -277.97. What is the third biggest value in 59, -12, q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 58*l - 3*l**2 + 2*l**2 + 58*l as n*l**2 + q + t*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j + 3. Let o(k) = 2*k**2 - 11*k + 6. Let z(q) = 13*m(q) - 6*o(q). Let v be z(2). What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 780372*p. Let a(n) = -n**2. Give d(a(x)).\nAnswer: -x**4 + 780372*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-53 - -47 - (2 - 2) - -9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 11, -0.5, 4, -2\/5 in increasing order.\nAnswer: -0.5, -2\/5, 0.11, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 0.9 (c) 1 (d) -1 (e) 0.2 (f) 9.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 6*m**5 + 4*m**3 + (-6*m**3 + 13*m**3 - 5*m**3)*(m**2 - m**2 + 2*m**2).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4532.54um?\nAnswer: 0.453254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2. Let t be x(3). Let g(n) = -n - 11. Let i be g(-9). Let f = i + t. Calculate the least common multiple of f and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -11, 1, 17, 37, 61?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11557\/38 + -304. Let b = 41\/266 + o. Let l be 2 - (-15)\/(-11) - 1. Is b less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*d - 2776 = 5001. What is the remainder when 215 is divided by d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -2\/5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3\/7 + 61480*t**2\/7 + 2032636*t\/7 + 1232240 = 0?\nAnswer: -28, -5, 15403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 - -223. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*m**4 + 448776*m**2 + 2243964*m - 10?\nAnswer: 924*m**2 + 897552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (736\/182)\/(-2) - -2. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 571 = 138. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = -5*x - 40, 5*n + 10 = -5*x. Let w be (x - 2)\/(1 + -2). Suppose w*m - 3*m - 8 = -b, -5*b = 20. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:17 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 252 = 76*x - 118*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqqqxxqqxxqqqqqxqq. Give prob of sequence qxq.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1 - sqrt(1100))*-6 - 3*sqrt(1100)*1)\/(-4*6*-1*sqrt(100)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 72*o**2 + 6595*o + 10327. Give y(-90).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173916925 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002122 (base 3) to base 13.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76684, 76692, 76704, 76720, 76740?\n\"Answer: 2*d**2 + 2*d + 76680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.2. Let i = g + 0.2. Let t = -1 + 1.5. Which is the closest to -2\/5? (a) -0.3 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2061567 and -356394?\nAnswer: 1705173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/36*(-128)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -176, -292, -430, -590?\n\"Answer: -11*o**2 - 61*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26779*v - 52837*v + 198 + 26781*v - 2430 with respect to v.\nAnswer: 723","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 141*33\/((-363)\/(-88)). What is the greatest common divisor of h and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n = 128436 - 27671. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*f*g**2*v - 13*f*g*v**2 - f*v**2 - 10*f*v - 2632*g**4*v**2 + 5*g*v**2 wrt g?\nAnswer: 32*f*v - 31584*g**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5201840028 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*a - 1031319 = 1064970. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/8, 0.4, 2\/3, -0.01 in decreasing order.\nAnswer: 2\/3, 0.4, -0.01, -0.1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -120. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -252*s - 3520. Determine t(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585699874?\nAnswer: 2, 17, 19, 79, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55320000 rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 10*g - 94. Let r = -172 + 188. Let n be a(r). Solve n = q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 - -25.5. Let w = m - 2. Let u = 20.1 - w. Which is the biggest value? (a) u (b) -10 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:48 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8 = -k, -31223 + 30654 = 5*k - 188*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 8. Let m be q(-6). Let r(d) = 3*d + 3. Let s be r(m). Let w be (-2)\/(-3 + s + 4). Solve h = -h + v - w, 4 = 3*h + 4*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 2*r. Let w(c) = -2*c**2 + c. Let s = -237 + 234. Let j(a) = -a**3 - 7*a**2 - 8*a + 7. Let i be j(s). Determine i*w(t) + 3*v(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -0.3, 8, 0.2, -1\/3, -3226?\nAnswer: -3226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjxr when four letters picked without replacement from tttjjrjrxttrrrtjtjj.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*0*(-4)\/((-4)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 17*l + 14. Let d be y(-15). Let k be 22\/11 + d\/9. Let v = 36 + -143\/4. Which is the closest to k? (a) -1 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 3, d: 2}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**4 + 3*n - 4 + 3 + n**3 + 3 - 2*n to the form c*n + i*n**2 + k*n**3 + w + o*n**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (34*1 - -1)*49. Let y(q) = 2*q + 906. Let c be y(33). Let h = v - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -44. Let z be ((-3)\/(-4))\/(a\/240). Determine q so that 1 - q**3 - z*q**4 + q**5 - 2*q**2 + q - q**3 + 5*q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -1, 0.8, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33621 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 32*q + 48 = 0. Calculate q.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 704, 880, 1042, 1190, 1324?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnndbbtbd. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269 or 1.7?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, 0, -4173 in descending order.\nAnswer: 4.1, 0, -4173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/9 + 10*n**3\/9 + 14*n**2\/3 - 106*n\/9 + 56\/9 = 0?\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - w - 2*w = 7, 2*w = -3*v - 14. Suppose 3*c - c = -36. Let o = v - c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 1. Suppose 17 = 2*v - 137. Let g = v - 79. Let z(b) = 2*b**2 - 7*b**3 + 2*b**3 + 2*b**3. Calculate g*c(a) - z(a).\nAnswer: a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 359493\nAnswer: 359511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*b**(-1\/3)*b*b)\/(((b*b\/(b\/b**(-5)))\/b)\/b)*b*((b*b**(1\/6)*b)\/b)\/b*(b**(-4)\/b)\/b)**(-6) assuming b is positive.\nAnswer: b**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.867289l?\nAnswer: 4867.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) - (-84)\/30. Suppose 4*p + 57 + 101 = 5*q, -4*p = n*q - 114. Calculate the remainder when q is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132\/10955341 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16184, -32395, -48606, -64817, -81028?\nAnswer: -97239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, x: 1, e: 2, u: 4, m: 1, f: 2}. What is prob of picking 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 + v + 5. Let g be u(3). Solve -g - 12 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5 - 5*z - 5 + 7*z. Let o(i) = -6*i. What is m(o(t))?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -r + 5*r. What is the remainder when 49 is divided by 4\/3*(2106\/r)\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/a**3*a)\/a)*a**(-10))**(-17) assuming a is positive.\nAnswer: a**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + w)*(3 + 3 - 7 + 3 + 1 - 2 + (-3 + 0 + 5)*(1 + 0 - 3)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mllm when four letters picked without replacement from {m: 7, l: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 8*y. Let f be (2 - y) + 4\/(-2). Is f equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i = -864*i - 1638*i + 74*i + 163930 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.311373935 to five dps.\nAnswer: -0.31137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629947.\nAnswer: 3, 31, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/8)\/(1\/(-2)). Suppose 2*n = 3*a - a, -s*a + 2*n - 4 = 0. Let z = -2 - a. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322949 is divided by 322939?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6886887 is divided by 414.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpgp when four letters picked without replacement from gpgrktp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5636, 5646, 5656?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10911 - -69897780760.\nAnswer: 69897791671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Let t = 1\/12 - 35\/132. Let y = -14 - -10. Sort y, d, t in descending order.\nAnswer: d, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75 - -108) + (-33)\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*u - 15. Suppose 3*s = 5*m - 0 - 5, -2*m = -8. Suppose 2*b = 3*b + 2, 2*f + s*b - 6 = 0. What is the least common multiple of u and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + t + 3967*t**2 - 3811*t**2 in the form j + g*t**2 + a*t and give g.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3065.2 - -7450. What is h rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/48*((-1288)\/(-42))\/(-23)*7*-16.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose 2*g - 110 = -p*g. Suppose 4 = 3*f - f. What is the smallest common multiple of g and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 > 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/29*3741\/129*3\/(-26)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-4)*((-4)\/2 - -6). Solve -14*r + 7*r + a = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j - 12. Let d be q(4). Suppose 2*w = s + 7*w - 59, 0 = 4*w + d. Let o = s - -284. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223047 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/676502 - 61882008987\/47355140. Let l = -9168\/7 - f. Let r = -4759\/4 - -1184. Calculate the common denominator of r and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8 - 0)\/(2\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 46. Let d(l) = -l - 35. Determine 4*d(v) + 3*s(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*c + 34 + 58, -3*c + 36 = z. Let r = -117 - -129. Suppose 437 = r*x - 1867. What is the highest common divisor of x and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*s + 9 = 0, 0*s - 4*s - 12 = y. Suppose y = 2*h + 12 + 4. Let t = h - -5. Sort -2, t, -1 in increasing order.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (527 + 273)\/(3 - 4 - (-227466)\/227470). Round v to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455 a factor of 3138141459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -6.1. Let k = w + 1.1. Sort 4, k, 1, 5 in increasing order.\nAnswer: k, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16798 and 756137?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z**2 + z**2 - 2*z**2)*(0*z + 3*z**2 + 0*z) - 5*z**4 - 2*z**4 + z**4 to the form x*z**2 + w*z**3 + a*z + j + n*z**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2448))**2 + sqrt(17) + sqrt(17) + -6*sqrt(17) + 4)*1.\nAnswer: -4*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21097)\/6205)\/((-2)\/10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 2*x + 1. Let n be z(-3). Let b(l) = -2*l + 4. Let m be b(n). Let h(w) = 1900*w. Let c be h(m). What is c rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:21 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 16976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 26127892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r - 3*p, 12*p - 4 = -2*r + 14*p. Sort 0, -29, r in ascending order.\nAnswer: -29, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2 + -5)**2 - (sqrt(75) - (-3 + sqrt(75)*1 + sqrt(75))) - (sqrt(192) + -5 + 0 + sqrt(192) + sqrt(192))**2.\nAnswer: -1431 + 145*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 30*s**2 + 4*s + 56. Give d(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171900847.\nAnswer: 13, 90146219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35 = -4*y, -21 = 2*z - 4*z + 3*y. Sort 4, z, 2.\nAnswer: 2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2000\/(-150)*(-2)\/(-28)*(-6)\/(-4)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 261 = -20*t. Suppose -4*r + 47 = -57. What is the remainder when r is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -15, -2, 0, -3070, 4 in decreasing order.\nAnswer: 4, 0, -2, -13, -15, -3070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 942 = m, 3*m - 25*q = -26*q + 2890. Let i = m - 512. Does 75 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 4. Let j(l) = 3*l + 5. Let d(k) = -4*g(k) - 3*j(k). Let q(m) = -5*m + 5. Suppose -2*u - 37 - 1 = 4*n, -u + 5 = -4*n. Give u*d(b) + 2*q(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-584)\/195 - -3). Let l = r - 57. Suppose -y - 153 = l*y. Are y and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 87 + 48 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083060 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/40 and -49\/2260.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j - 14. Let m be y(-6). Suppose 12*i - m*i - 20 = 0. Let p(c) = -c**3 + 10*c**2 + 2*c - 11. Determine p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135557642 divided by -1856954\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/((-1)\/(-4)). Suppose 3*r - n = 19 + 1, 3*r - 40 = 5*n. Suppose h = 5*q + 21, r*h - 1 = -4*q - 12. Solve 0 = u*b - b + h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*i = 332, -5*i = 3*v - 0*i - 334. What is the second derivative of 6 - v*s**2 - 226*s + 443*s - 218*s wrt s?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -3, -2\/5, -64, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 31*k**2\/2 - 22*k + 11. Differentiate x(j) with respect to j.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 1.7. Sort -0.3, 0.3, q.\nAnswer: -0.3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 1\/19*k**2 + 76 + 12\/19*k - 2\/57*k**3. Factor j(g).\nAnswer: -2*(g - 3)*(g + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 6*h - h)*(-1 - 2*h + 1) - 4 + 4 + 4*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -8. Let k(y) = -y**2 + 2*y. Let a(l) = 2*l**2 - 5*l. Give r*k(n) - 2*a(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 18*f**2 - 2*f - 15. Let v(t) = 2*t + 5*t + 90*t**2 + 3*t**3 + 2*t + 75 - 9*t**3. Let c(w) = -11*b(w) - 2*v(w). Is c(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 + 43595*k - 43600 = 0.\nAnswer: -8720, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1015652 (base 7) to base 5\nAnswer: -12401341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) -2150\/5247 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124596 + 124596 - 94*s.\nAnswer: -94*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7753192 is divided by 60101.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 0*v - 20*v)*(2*v**2 + 3*v**2 - 3*v**2)*(-v**2 - 2*v**2 + 5*v**2).\nAnswer: -112*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/4 + 8*m**2. Let x(g) be the first derivative of -g**2\/2 - 2. Give x(n(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 18*d - 30. Let h be n(16). Find the second derivative of 3*x**3 - 148*x + 19*x**3 - 7*x**2 - 2*x**3 - x**2 + 0*x**h wrt x.\nAnswer: 120*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2) - (188 + -182).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4921 - 4921 - 545*p)*(-3*p - p + 5*p)*(-3*p**3 - p**2 + 4*p**3 + 5*p**2).\nAnswer: -545*p**5 - 2180*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, 1 m, and 1 p when four letters picked without replacement from {b: 2, g: 3, p: 1, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -6 (c) -15384 (d) -0.3 (e) -1410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, 0, 112, 310, 600?\n\"Answer: n**3 + 34*n**2 - 77*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 372*g**5 + 1629*g**4 + 2436*g**3 + 1497*g**2 + 342*g + 24 = 0. Calculate g.\nAnswer: -2, -1, -1\/4, -4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 81*f + 339. Determine a(-11).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1793 - -1796. Let t(j) = j**2 - 11*j - 2. Let p be t(11). Let l(b) = b**2 - 2. Let o be l(p). Calculate the greatest common divisor of m and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1483, -1451, -1395, -1303, -1163?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 - 5*w**3 - 26*w**3 - 19*w**3 + 27*w**2 + 47*w**2 wrt w?\nAnswer: 24*w - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -19. Let s = 0.6 - 2.6. Let v = m - s. What is the nearest to -0.2 in v, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205 and 6832\/84 - 10\/(-15).\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 3*m**3 + 0*m**3 - 15*m**3 + 5*m**3 + 2*m**3 + (-3 + 2 + 3)*(-4*m**3 + 5 - 5) + 4*m**3 + 3*m**3 - 5*m**3 as c*m**2 + i*m**3 + z + d*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -576 + 571. Let p(b) be the third derivative of -b**4\/2 - b**3\/6 - 3*b**2. What is the tens digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7735793*w**3 - 235997215*w**2 wrt w.\nAnswer: -46414758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 30 = 10. Does 8 divide (-1805)\/(-25) - ((-4)\/n - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 106 = 132 + 156 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597771 is divided by 816?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2369*x + 9498. Give p(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1600620 and 107\/320124.\nAnswer: 1600620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 6, n: 2, k: 5, m: 3}. What is prob of sequence jn?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 - (-8 + 3). What is the highest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 0, -72, -1 in ascending order.\nAnswer: -72, -6, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h - 3*h - 50. Differentiate -74 - 2*l**3 - 9*l**2 - 2*l**3 - h*l**3 + 8*l**3 - 124 with respect to l.\nAnswer: 6*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5589 + -72649\/13. Factor 0 + 2\/13*w**3 + 8\/13*w + g*w**2.\nAnswer: 2*w*(w + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 9*o - 12. Let j be q(10). Put 0.5, 0.6, j in increasing order.\nAnswer: j, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 56*l - 10290 = -74*l. Calculate the greatest common divisor of l and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 6) to base 15\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/22)\/(((-35)\/5)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i - 1\/6*i**3 + 2*i**2 + 1\/12*i**5 + 0*i**4 + 0. What is the first derivative of z(y) wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let g(p) = p + 4. Let m(q) = 15*q + 55. Let h(v) = -55*g(v) + 4*m(v). Determine o(h(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12899, -27750, -52501, -87152, -131703, -186154, -250505?\nAnswer: -324756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 + 4*p + 11. Let y(s) = 3*s**2 + 2*s + 5. Determine 2*g(w) - 5*y(w).\nAnswer: -w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**3 + r**2 + 17*r + 8. Calculate the least common multiple of a(8) and 903.\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 54 - 1)*(-3 + 4 - 3)*(0*c**2 + 5*c**3 + 0*c**2).\nAnswer: 510*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -595, -619, -657, -715, -799, -915?\n\"Answer: -u**3 - u**2 - 14*u - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1425149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/7 + 3*i**4\/7 + 3*i**3\/7 - 11*i**2\/7 + 6*i\/7 = 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2994.22 + 3075. Let h = 80 - p. What is h rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:21 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 68*i + 349931 = -733174. What is the highest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*l = 6, 0*u - 5*l - 24 = -4*u. What is the third biggest value in -9\/5, 1\/4, u?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 8\/15, -60, 2.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2023453863 and -0.1.\nAnswer: 2023453862.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 6) to base 12.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 731, 3633, 6535, 9437, 12339, 15241?\nAnswer: 18143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385900 a multiple of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/11, 4, -3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -621 + 4338\/7. Is d at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -144.7?\nAnswer: 1012.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -5*w + 236, -318*b + 5*w - 46 - 1 = -320*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, -3, 5, 0.2, -22\/7.\nAnswer: -34, -22\/7, -3, -2, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2736962 rounded to three decimal places?\nAnswer: -0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let g be 8\/100*5*-5. Let d(v) = v**2 - 3*v + 1. Let n be d(3). Put z, g, n in increasing order.\nAnswer: g, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/5 + -109\/45. Let o = 166.713 - -0.287. Let g = o - 167.6. Which is greater: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(42) + (sqrt(42) - 2*sqrt(3402)) + sqrt(42)))\/(sqrt(384)*-2) - (sqrt(224)*5)\/(sqrt(24)\/sqrt(48)).\nAnswer: -41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 6, p: 4, j: 4, l: 2}. What is prob of picking 2 p, 1 k, and 1 l?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 at least -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 89 = -13. Solve 33 = b*m + 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let z(u) be the third derivative of 5\/24*u**4 + 0 + 0*u - u**2 + 0*u**3. Determine q(z(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -6*k + 1584. Let n be (-146)\/(-8) - 165\/k. Solve 3*a = 2*p - n, 3*a - 2*a = -4*p - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792112?\nAnswer: 2, 3, 58169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12172?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.8 in -0.3, 0.93, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - -e7036?\nAnswer: e6ec4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/184227011?\nAnswer: 3\/184227011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahd when three letters picked without replacement from ididhtdiiah.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*c - 4, -4*r + c + 22 = r. Suppose -4*p = 4*l, -l - 4*p + r = p. Let k be 12\/(-72)*(-1 + l). Which is smaller: k or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 5. Let y be r(-7). Let n = 23 + y. Find the third derivative of z**3 - 2*z**3 + 3*z**2 - n*z**3 + z**2 wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4925 + 0.0023525\nAnswer: -0.4901475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**3 - 4*f - 83?\nAnswer: -9*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5982821 is divided by 319.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -112\/3 - 212\/15*d + 2\/15*d**3 - 2\/3*d**2 = 0.\nAnswer: -5, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuuusssususrusussss. What is prob of sequence ur?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(133)\/((-2*sqrt(84))\/sqrt(12)) - sqrt(76)\/(sqrt(28)\/(sqrt(7)*-3)))*-1.\nAnswer: -5*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 + 5*a**2 - 69*a + 3. Let t(z) = -3*z**3 + 6*z**2 - 69*z + 4. Let y(o) = -4*g(o) + 3*t(o). What is the second derivative of y(q) wrt q?\nAnswer: 42*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 3. Let x be i(-4). Suppose -x = -p - 7. Suppose 63 = p*f - 3*f. Solve 5*g = 13 + f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 4*f + f**4 + 149*f**2 - 149*f**2 - 34*f**4 + (-f**2 + 0*f**2 + 0*f**2)*(8*f**2 - 11*f**2 + 2*f**2) - 4*f**4 - f**4 + 3*f**4.\nAnswer: -34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 7*l**5 + 598*l**4 + 12427*l**3 - 21884*l**2 - 291884*l + 562096 = 0.\nAnswer: -43, -38\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130394 - 28893 = -4525*b - 66*b - 16966 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 14*d**2 - 50*d + 227. What is j(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s**4 + 0 - 3*s**2 + 0*s**3 - 1\/30*s**5 + 0*s. Let j(d) = 5*d. Calculate j(i(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -1\/42, 4\/7?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 3, q: 3, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858636 is divided by 71551?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 38. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244233*w + 5*a = 244237*w - 15, -2*a + 60 = 5*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10944 and 9120?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190771, -381782, -572793, -763804, -954815?\nAnswer: -1145826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t - 217 + 217 - 12*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2175 and 5175?\nAnswer: 150075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/1*26468\/24432.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*l**3 - 33*f**3*l + 1221*f**2 - 79*f*l**3 + 9*f + 2*l**3 - 10*l**2 + 2*l wrt f.\nAnswer: 18*f*l**3 - 198*f*l + 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56272309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - h**2 + 2*h - 2. Let y be l(2). Let g be 14\/(-6)*y\/77. Which is smaller: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5 + 2. Suppose -8 - 26 = -3*c + y, -40 = -5*c + 5*y. Sort c, q, 4 in decreasing order.\nAnswer: c, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -899\/39 - -200\/13. What is the common denominator of (-1)\/(-4) - 1183\/(-308) and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668972840 to the power of 1\/2, to the nearest integer?\nAnswer: 25865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 126. What is the least common multiple of t and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**3\/6 + 21*r**2\/2 + 2*r. Let s be z(-14). Let v be 3\/((441\/6)\/s). Put v, 5, 0.1 in decreasing order.\nAnswer: 5, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(0*t**2 + 0*t**2 + 2*t**2) - 2*t**2 + 4*t**2 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 46. Give l(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 + u**4\/6 + 11*u**3\/6 - u**2\/2 + 5*u - 178. Determine l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -5\/2*t**3 + 0*t**4 + 0 - 8*t**2 + 1\/120*t**6 + 0*t + 0*t**5. Differentiate h(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*p**2*x**2 - 20*p**2*x + 4*p*x**2 - 25*p + 4 wrt p?\nAnswer: -52*x**2 - 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 - -2) + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 163. Is 20 a factor of 188\/(-1)*(v\/(-6))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 73\/5 of a tonne?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d5cd + -5?\nAnswer: -3d5d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, 3, 293, 5 in decreasing order.\nAnswer: 293, 5, 3, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145.05 - -144.65. Let g be (-2)\/(-6) + (-51)\/99. Which is the second smallest value? (a) 0.4 (b) 0 (c) i (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/2*1 - -2. Let m = -3 - p. Let q be m*3\/(-6) + -2. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 9:04 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qwwwqqwqqwwqqqwqwwq?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 4*r - 14, 32 = 5*o - 2*r. Suppose y + y = o. Suppose 32 = 3*x - 4*i - 66, 119 = 4*x - y*i. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017524 to four dps.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5000?\nAnswer: 1\/1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-64)\/34 + (-10)\/85). Let l(o) be the first derivative of -3*o - 2 + 3\/2*o**u. Determine l(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 17*a**2 + 5*a**2 + 0*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(6*r + r + 0*r + (2*r - 4*r + 4*r)*(-6 + 3 + 0))*(-4*r**4 + 4*r**4 - 4*r**4).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282221.\nAnswer: 282221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 + 4*d - 7. Let o be z(-6). Suppose 3*w - o*p + 7 = -0*w, -5*w - 4*p = -50. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2918 - -72251. What are the prime factors of d?\nAnswer: 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4268, -4267, -4266?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 3*z - 121*z**3 - 2*z**2 - 496*z**3. Let d be k(-1). Let h be d\/10 - (-6)\/15. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1012858094*k**3 - 11175*k**2 + 15661*k?\nAnswer: -6077148564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 1745*s + 277532. Give d(177).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 655405 + 36?\nAnswer: 655444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 11 (b) -0.3 (c) -0.4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8e (base 15) to base 9\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408328241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1901236 and 0.184914.\nAnswer: -1901235.815086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 11135 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -436?\nAnswer: -43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1197 + 7cf6?\nAnswer: 6b5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -j - 12, -5*l - 12 = 2*l + 5*j. Which is the biggest value? (a) -11.7 (b) -0.5 (c) 1\/4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/308*11)\/((-27)\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2, -4*i + z + 2 = -2*i. Let b(h) = 2 - 3*h + i*h - 3*h**2 + 2*h + h**3. Calculate b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115418, 230817, 346216, 461615?\nAnswer: 577014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38530073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 168*g**2 - 2929*g + 14617. Determine l(5).\nAnswer: 4172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(-22*1119\/16412).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by 6\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 942759.7km in nanometers?\nAnswer: 942759700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**5\/30 - 17*c**4\/24 + 8*c**3\/3 - 2*c**2 - 12*c. Calculate the smallest common multiple of r(9) and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-2))\/(6\/(-9)). Suppose -t*m = -4*m + 5. Suppose x - 3*c - 3291 = 0, 9903 = 3*x - 4*c + m*c. Round x to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.4. Sort 2\/9, t, -0.07 in decreasing order.\nAnswer: 2\/9, t, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + -4.1. Let h = 0.4 + 1.6. Which is the nearest to -1? (a) i (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8027852 to the power of 1\/2, to the nearest integer?\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 837479070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t + 63. Calculate b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 4, v: 1, w: 3, l: 1}. What is prob of sequence tkkt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 778858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/21)\/(2\/(-66)). Let c(a) = a**3 + 23*a**2 + 19*a - 11. Is 10 a factor of c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396720 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - p**2 + 8*p**2 - 15*p**2 + 3 - p**2 - 17*p**4 + 8*p**2 to k*p + w + y*p**3 + o*p**4 + f*p**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 595\/299?\nAnswer: 595\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 425*q - 7. Let t be b(8). Suppose 5*v - 17 = 4*d + 17, -5*v + 3*d = -38. Suppose -v*g + 10303 = t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -20. Suppose 0 = 3*q - i - 14, 6 + h = 5*i. Suppose -s + 22 = 5*c, -5*s - q = -2*c - 4*s. Solve 5 = u + c*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 291\/33 - -4. Let g = 5 + -3. Suppose -q - 4 = -g*q. Which is the second smallest value? (a) q (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 550 = -43*y + 18*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -2391, 14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228.14 + -231. Let p = k - 0.14. Let h = -1278\/1585 + 2\/317. Which is the fourth biggest value? (a) h (b) p (c) -2\/13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 810*y + 873178. What is l(-1078)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 16*w**2 + 5*w + 42. Let j(v) = -v**3 - 15*v**2 + 6*v + 42. Let t(o) = -4*i(o) + 3*j(o). Let b be t(-19). Put b, -2, -5 in ascending order.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3420 divided by 5?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-8)*w)*w*w*w)\/w**2*w\/((w\/(w**(-1)*w))\/w*w)*w**(-4)\/w*((w\/((w**(6\/7)*w)\/w))\/w**(-9\/4))**(-16\/9) assuming w is positive.\nAnswer: w**(-79\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = 0. Let t(y) be the first derivative of -y**5\/120 + 7*y**4\/24 + y**3 - 1. Let v(f) be the third derivative of t(f). Give v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398545?\nAnswer: 5, 7, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*((sqrt(672) + sqrt(672)*1*-5)\/sqrt(12))\/(2*1*sqrt(8)*-1)*-2.\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.46964, -1\/3, -1\/4.\nAnswer: -2, -1\/3, -1\/4, 0.46964, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(833) + 2 + -2)**2 - (4*(-6*sqrt(833)*-2 - ((sqrt(833) - (sqrt(833) + 1*sqrt(833))) + -3)))**2.\nAnswer: -2250860 - 8596*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 2*l**2 - 4*l - 3. Let m be d(-2). Let t = 6 - 5. Let x be t\/3*0 + 40. What is the greatest common factor of m and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**3 - 8 - 28*q**3 - q**2 + 9*q**3 + 11*q**3 as y*q + h*q**2 + d + j*q**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 259200*u**3 - 25065*u**2 + 692*u - 4.\nAnswer: (45*u - 2)**2*(128*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2804982 and -3.\nAnswer: 8414946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -78, 0.8, 7, 1.15, -0.3?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*s - 768 = -761, -2*w + 2*s = -4 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -707*387.526\nAnswer: -273980.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -756, -753, -746, -735, -720?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 9*c**2 - 5*c - 21. List the prime factors of r(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 + 0 - -74. Let w = l - 39. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23572 is divided by 1960.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.65 or 1340584?\nAnswer: 1340584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 1\/6*k**4 + 4\/3*k**3 + 4*k**2 - 4 + 2*k. Let z(v) be the first derivative of h(v). Determine n, given that z(n) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/7)*i)\/i**(1\/7))\/((i*i**0*i)\/i)**(-48) assuming i is positive.\nAnswer: i**(347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrzzrrzzzzrrrrz. Give prob of sequence zrr.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*n**2 + 85703*n + 334*n**2 - 85705*n.\nAnswer: 622*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/66*(-55)\/(-495)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, g: 10}. What is prob of sequence jjg?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, e: 2, b: 4, i: 1}. What is prob of sequence ee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4105121392 to the nearest integer?\nAnswer: 64071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.40882 * 62.\nAnswer: -25.34684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b**2 + 74*b**2 + b**3 - 4*b**3 - 39*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 3*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000213717 rounded to six decimal places?\nAnswer: 0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 8*b - 4. Let m be z(-8). Let k be (2\/m)\/((-65)\/(-26)). Let h = 1947 + -1952. What is the second smallest value in -0.01, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 14*i + 2. Let h(c) = c**3 + c**2 + c - 1. What is -g(d) - 2*h(d)?\nAnswer: -2*d**3 + d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17*c**3 + 12*c**2 + 30*c. Let a(n) = 19*n**3 + 12*n**2 + 32*n + 2. Let k(l) = 8*a(l) - 9*h(l). Give k(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**0*x)**(-26)\/((x\/(x**1*x*x))\/x)**16)\/(x**0*x**(-2\/3)*(x*x*x\/x**0)**(-13\/3)) assuming x is positive.\nAnswer: x**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 8. Let k(g) = 7*g**3 - 5*g**2 + 5*g + 3. Let b(j) = -3*j**3 + 2*j**2 - 2*j - 2. Let l(c) = n*k(c) - 5*b(c). Differentiate l(y) wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 533\/3 + -176. Find p, given that f*p - 7\/3*p**4 - 5\/3*p**3 + 3*p**2 - 2\/3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {k: 2, z: 1, i: 4, s: 1, t: 2, r: 3}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -4.92. Let g = 7.97 + -8. Let i = g + -1.97. What is the third biggest value in 3, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 7*n**2 - 2*n - 9. Let b be z(-7). Suppose 2*r + 0*k = -k + 17, 0 = -r + b*k - 8. Calculate the lowest common multiple of 2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 - 245*g. Give i(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s - 32*s**5 + 5*s + 26*s**5 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/5*10\/4. Let h(l) = 2*l**3 - 3*l**2 + l - 3. Let d be h(p). What is the highest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 1372 - 278 = 362*f. What is the biggest value in f, 2, -1, -0.067, -2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b84232 + -2?\nAnswer: -8b84234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -34)*2\/(-4). Let d be 8\/28 - 4\/p. Let x be d + (7 + 2)\/3. Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (353139\/1431 - 255)*(8 + 1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 8, d: 1, k: 3, o: 1, h: 3}. What is prob of sequence kpp?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h + 3*s - 602, -4*h - 4*s = -600. Let x = 215 - h. Calculate the remainder when x is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-3)\/(-6) - 1). Suppose 0 = 4*m - x*m. Suppose -2*a + 2*j + 10 = 0, m = a + a + j - 4. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 = z, 3*z - 10 = 2*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17690509 by 3.\nAnswer: 17690509\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2\/2 + 2*v + 4. Calculate k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 3*k - 15. Suppose -3*i + 2*p + 10 = 3*p, -4 = 2*p. Let o be c(i). Let x = o - -126. List the prime factors of x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654131.\nAnswer: 31, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5454 + 1410 = 4*s, -3*s - 2993 = -5*f. Which is smaller: s or -4021\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37945119, 37945117, 37945115, 37945113, 37945111?\nAnswer: 37945109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*l + 87 + 441 = 0. Which is the smallest value? (a) l (b) 3 (c) 2\/23 (d) 13.9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1089 - 766. Suppose h = -13*f + 2325. 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 1152 (base 12) in base 4?\nAnswer: 132032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -176, -3, 2, 531, 3.\nAnswer: -176, -14, -3, 2, 3, 5, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:32 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i = -22286 + 21170 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**3 - 2*b - 1. Let w be q(-1). Let d be (-6)\/15 - 24\/w. Suppose -d = -n + 5*j + 3, j = -2*n - 1. Solve -4*c - c = n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904565429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116682.\nAnswer: 2, 3, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - -12.2. Let q = -3 - a. Let y = -13.5 - q. Which is smaller: 2\/7 or y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 18. Suppose 0 = 4*x - 97 + 9. Let o be w(x). What is the highest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228.015 + -231. Let i = -0.015 + j. Which is greater: i or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102583367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 695, -5 in ascending order.\nAnswer: -5, 0, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14913)\/21)\/(-3) + 8\/28. Let s = o + -110. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5382 and 897.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 + (-38)\/(-9). Let n be 2\/x*32\/(-40). What is the nearest to n in -2\/3, 0, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 360 = -q, 0*q - r - 344 = -q. Suppose 5*t - q = -20. Suppose -2*y + t = -0*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22779 + 23695.9. What is h rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56776 is divided by 3119?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:54 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423348 is divided by 695.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.021 (c) 4 (d) -13 (e) -5 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -0.5, 14.1, -35 in descending order.\nAnswer: 14.1, 6, 0, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 1 = -5. What is the units digit of (f - -48)\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/56 and -47\/1302?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -773, -339, -5, -6, -4, 5, -1.\nAnswer: -773, -339, -6, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -4 (c) 5.094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 687*d + 4430. What is g(-222)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -56) + 26 + -44.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y**3 - 1052*y**2 + 527*y**2 + 525*y**2 + 14*y**3 + 20*y**3 - 31*y.\nAnswer: 2*y**3 - 31*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -95023a7 + 3?\nAnswer: -95023a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.53 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from lwlwwl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 200*u**3 + u**2 - 4*u - 4. Let h be f(-1). Let m = 204 + h. Solve -b - q - 3 - 2 = 0, -b - 4*q - m = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 256. Let j be l(-30). Suppose j*f + 19*f = 34*f. Factor -2\/7*g**3 + f - 8\/7*g + 10\/7*g**2.\nAnswer: -2*g*(g - 4)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186211 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c + 1. Let g be 2\/5 - (-96)\/(-40). Let r be x(g). What is the remainder when -4 + (-24)\/(-1) + r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*s**2 - 84*s**2 + 10*s**3 + 61*s**3.\nAnswer: 71*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17499 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14)*2*2\/8)\/(98030\/(-960694))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 61.666\nAnswer: -986.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j**2 + 0*j**2 + j**2)*(-3*j**2 - j**2 + 5*j**2) + j**4 + 0*j**2 + 0*j**2 - j**4 - 5*j**4 - 7*j**4)*(3*j - 2*j + j).\nAnswer: -28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033797 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003798325 rounded to seven decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63236843 rounded to four decimal places?\nAnswer: 0.6324","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 66900 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2\/13, -3, -0.15 in decreasing order.\nAnswer: 3, -0.15, -2\/13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkv when four letters picked without replacement from {k: 3, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b - 16*b = 49*b - 399. Let l = -5 - -5. Solve -g + 9 = -b*a, -3*a + 2*a - 2 = l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + u**4 - 5*u**4 + 1 - 1 + 2*u**4 + 2*u**4 + 3*u**3 - 3*u**3 + (2*u**3 - 3*u**3 + 0*u**3)*(0*u - u - u).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 343378 = -t + 343444, 3*a - 52 = -2*t for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 17 + 43. Find the second derivative of -24*r**2 + 2*r + d*r - 3*r + 15*r**2 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 1.3 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 89 = 9*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.22067?\nAnswer: 0.022067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 295*v + 520*v + 103*v + (3 + 2*v - 3)*(1 - 2 - 3) + 1 + 2*v - 1.\nAnswer: 912*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, -1, -0.036, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*q - 0*q - 52, 0 = 3*h + 4*q - 28. Let f(t) = 82*t - 77. Is f(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/22 - 3969\/(-67914))*1\/(3\/10).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = 5, 2*o + 21 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -23.52. Let w = 29.68 + -33. Let n = k + w. What is n rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/11 + (-60)\/88. Which is the nearest to 0.1? (a) 0 (b) 1\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16872)\/(-10545))\/(2\/(-55))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4050.\nAnswer: -1\/2025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*k - 26 - 21, 4*v = 3*k - 56 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.183 - -0.083. Let m = -45 + 134\/3. Sort m, -2\/9, j.\nAnswer: m, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5995 divided by 78.\nAnswer: -5995\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 0.3. Let z = 79 - 31. Let j be 4\/14 + z\/(-21). Put -0.2, c, j in descending order.\nAnswer: c, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 48\/(-6))*45\/27*9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3680569 is divided by 230025?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -470 + 561. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -1. Let b = -8 - f. Solve b*t - 25 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0, -91, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -186367, -372740, -559113, -745486, -931859?\n\"Answer: -186373*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-11)\/7)\/((756\/98)\/9). Which is the nearest to -0.1? (a) -23.7 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -26. Suppose 3*m - p*m - 4 = 0. Suppose -23*b + 35 = -80. Solve -m*l = -1 + b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22358817 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 divided by -36.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 + 82*j**2 - 4*j**5 - 86*j**2 + 4*j**4 - 3*j**4 + 4*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-36))\/(52\/(-2457)). Let c be 2*(-6)\/(-4) - 1. Suppose -88 = -4*w - 4*h, c*w - 2*h - 38 = 2*h. Calculate the greatest common factor of w and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591631123?\nAnswer: 463, 1033, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512350 (base 8) to base 9.\nAnswer: -277071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (sqrt(448) + 0)*3)**2 - (-1*(sqrt(448) + 3)**2 + sqrt(448)).\nAnswer: 40*sqrt(7) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12613261000 to the nearest 1000000.\nAnswer: 12613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 670*x. Let f(z) = -17*z**2. Calculate h(f(v)).\nAnswer: -11390*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11691699.000154 - -11691736. Let o = -37 + d. Round o to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 13 - (-255 - -224)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*b + 35010, 0 = b + 3*a - a - 6999. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.4. Let n = -2 - 0. Let s = 1216 - 1215.6. Which is the nearest to -0.1? (a) x (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdk when three letters picked without replacement from kkkdddkddkkkk?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -174.1949890673+0.22\nAnswer: -173.9749890673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 - 4*k + 4. Let m(r) = r**3 - r**2 + r - 1. Suppose 1 = 4*f - 5*g - 15, -3*f + 3*g + 12 = 0. Calculate f*m(h) + a(h).\nAnswer: 3*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 98\/(-21)*(-9)\/6. What is the thousands digit of (-144160)\/(-128) - 1\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 - 61*n**4 + 177*n**3 - 175*n**2 + 58*n = 0.\nAnswer: 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t + 4. Let m be i(0). Suppose 15*o - 506 = m*o. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 261\/(-5)*40\/(-12). Suppose -u + 6 = -g. Let s = u + -3782\/21. Is -1 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:50 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-12))\/(210\/24))\/((-12)\/14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126545*-0.1.\nAnswer: -12654.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 61, 91, 121, 151?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 45. What is the second derivative of -12*q - y*q**2 - 6*q + 0*q**2 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(((-44)\/(-192))\/11). Suppose 7*p - 6*p + 73 = 0. Let a = r - p. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/140 + (-1156)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c = -29*c + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 + 7.8. Let g = 41.8 - 36. Let m = b - g. Which is bigger: m or -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -52*f**3 + 8*f**2 + 23*f. Let j be q(-4). Is (j + -2 + -3)*(1 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 - w**3 + 4 - 3*w**4 in the form g + t*w**3 + s*w**4 + y*w**2 + u*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((sqrt(720) + (sqrt(720) - (0 + sqrt(720) - sqrt(720))))*-4*-6 - ((sqrt(720) + 2*sqrt(720))*-4 + 2*1*sqrt(720)))**2*6.\nAnswer: -43597440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 3*m + 11 = 0, -5*r = 4*m - 14. Let g be (-3 - ((-9)\/6 + -1))*r. Which is the nearest to g? (a) 4 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4024104 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 9.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s. Let w be c(6). Suppose -2*p + 10 = -w*p. Suppose -p*t = -t. Solve -3*i - 9 = -t*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 35\/(-10). Let p = -14 - 40. Let w be 1\/(-5) - (p\/(-15))\/(-3). Which is the second smallest value? (a) -3 (b) -1\/4 (c) s (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9073*o**3 + 17959*o**3 - 8898*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3. Let l be i(1). Let r(j) = 2*j - 3*j + 9*j**2 + 0*j - 12 + j**3. Let t be r(-9). Which is the nearest to -1? (a) 0 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/906 and -37\/36.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 - -0.28. Let n = s + 24.53. Let t = 25.00000074 - n. Round t to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.7 times 183?\nAnswer: 6899.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824038916 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3228176 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 60943*0.166\nAnswer: 10116.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 + v + 1. Let x(n) = 7*n**3 + 6*n**2 + 22*n + 6. Suppose 5*h - 4*l = -46, -67*l + 10 = -h - 66*l. Determine h*k(t) + x(t).\nAnswer: t**3 + 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*t**2 + 84*t - 80*t + 4*t**2 - 80*t**3 wrt t?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 28*v. Let u(k) = 8 - 7 - k - 1. Calculate m(u(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o, -5*s - 4*o - 883 + 1046 = 0. Solve -6*q + q - s = -5*p, -4*q = p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lecgrglgrggrwrg. Give prob of sequence rrgw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 2*g**2 - 2*g + 2. Let w be h(2). Let x(y) = 2*y + 24. Let z be x(w). Suppose 3*i + 99 = z*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/286*66*(-45)\/60?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l. Let r(d) be the third derivative of -d**5\/60 + d**4\/24 - 3*d**2 + 15*d - 5. Calculate i(r(g)).\nAnswer: -6*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5017603091 - 5017603091 - 17*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/20 and (((-165)\/(-144))\/11)\/(1\/10)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21454912735139 and -4.\nAnswer: -21454912735143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -118, -119?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 1310946*y - 2621904 = 0 for y.\nAnswer: -436984, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38016 and 1540296?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 9:37 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = -5*m + 51. Suppose -2*p = -3*p + 3*l + 12, 2*p - 2*l = 12. What is the greatest common divisor of p and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 0)*5 + sqrt(162) + (-2*(sqrt(162)*-1)**2 - sqrt(162)) - (sqrt(162) + 1 + sqrt(162) + 3 + 1)**2.\nAnswer: -997 - 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 107. Suppose p = -i - i. Which is the fourth biggest value? (a) -0.5 (b) i (c) -6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.066 + 0.89. Let m = -0.076 - k. What is the nearest to -0.3 in 4\/3, -1\/10, m?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 505414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, 48, 173, 334, 525, 740, 973?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/21*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5794 is divided by 223?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913898 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**4 - 4*t**2 + t**3 + 2*t**4 - 1 - 102*t + 81*t - 4*t**4 + 8*t**4 in the form j*t**4 + p*t**3 + x + n*t + u*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + 13 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317041590 divided by 5.\nAnswer: -63408318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2061 (base 7) to base 9\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 14. Is (-2)\/(-3) + (-56)\/h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 66 = -3*p, 0*p - 100 = -4*s + p. Let r = 3 + s. Suppose 3*c - r = 79. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1413 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 + -37 + 19. Suppose -4*c + 20 = -2*g - 4, -5*g - 20 = -2*c. Let b be (-10 - h)*6275\/g. Round b to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40.97 and -17838526.\nAnswer: -17838485.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2337382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 14. Calculate t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -7, 0.089, 3\/5, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 29.83.\nAnswer: -56.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 0*a - 12*a**2 + 3\/40*a**4 + 1\/600*a**6 + 0*a**3 + 1\/50*a**5. Factor j(g).\nAnswer: g*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155720, 155746, 155790, 155852, 155932, 156030?\nAnswer: 156146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0*h**2 - 1\/50*h**5 + 1\/15*h**3 + 5 + 0*h**4 + 6*h. Factor s(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 = 5. Find the common denominator of 107\/20 and 2\/m*(-285)\/(-220).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 31. Let z be (-8)\/i - 16\/(-12). Solve -12 = -n - z*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.25 + 4. Let w = n - 0.05. Which is the third smallest value? (a) 0.1 (b) w (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*t**2 - 31*t**2 + 84*t**2)*(4 - 1 + 0 + 0) to q + w*t + n*t**2 and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 50\/17?\nAnswer: 50\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 2, a: 2, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -85*y + 2619. What is the greatest common factor of y and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 18. Let w = v - -23. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1273295 greater than -1273295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k - 11. Suppose -5*r = y - 2 - 15, -4*y + 4*r - 4 = 0. Sort 1, k, y in descending order.\nAnswer: y, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 797*c**4\/4 - 795*c**3\/2 - 2*c**2.\nAnswer: c**2*(c - 2)*(797*c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -543247 smaller than -543244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 - 98. Let j = m - 160.8. Let b = 2 - 1. What is the closest to j in -5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbll when four letters picked without replacement from vlwfwlllblwf?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + 59. Let c = b + -110.999899. Round c to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -2411, -3654, -4939, -6278?\nAnswer: -7683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:59 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112002210100 - -11?\nAnswer: -112002210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98.923 + 0.0035.\nAnswer: 98.9265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from ydyddrrr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98973 + 28957 = 10*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 21*a**3 - 37*a + 28*a + 16*a.\nAnswer: 21*a**3 + 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6*r - 2*r - 111 = 3*r + 6*r, 649*m + r = -18820 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + 12065\/70452. Let q = d - 14943853\/15759. Let v = -948 - q. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaofazoaazo. What is prob of picking 3 a and 1 o?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - 3*w**2 + 3*w**2 - 2*w**3 - 8 to the form n*w + m + a*w**3 + c*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 23*r**3\/2 - 59*r**2\/2 + 12*r.\nAnswer: -r*(r - 8)*(r - 3)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 3 + (-27 - -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-6) - (7 - 4 - 42). Let b be ((-8)\/(p\/9))\/((-2)\/5). Solve w + 30 = -b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13348 + 19749. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {t: 2, b: 1, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1286.\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 + -0.3. Let y be (-3)\/(-4) - (-5)\/20. Let k be 7\/(140\/12) + y*-1. What is the second smallest value in t, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161610, 161626, 161650, 161682, 161722, 161770?\nAnswer: 161826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(204)*2 + sqrt(204))\/sqrt(12) + 5*sqrt(68)\/sqrt(4) + 3 + ((sqrt(272) + 2)**2 - sqrt(272)) + sqrt(272) + -3.\nAnswer: 24*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/3 + 4*s**4\/3 + 26*s**3\/3 - 20*s**2 - 75*s.\nAnswer: -s*(s - 5)**2*(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3120.864 + -3188. Let l = -0.036 - s. What is l rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 0. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/35558 and 47\/19251.\nAnswer: 29762046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276102 is divided by 168.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1838.5 + -1838. Let q = 23 - 160\/7. Put 0, -2\/3, w, q in ascending order.\nAnswer: -2\/3, 0, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/45 (b) 3 (c) 4435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*16\/512*8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (2 - -12) - (-1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*d + 16, -26*m - 6 = -25*m - 5*d. Let q be 2\/6 + (-14)\/24. Which is the biggest value? (a) m (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/(86\/(-84) - -1). Let g be (-7)\/(-3) + k\/21. Suppose -q = -4*t - 3960003, q = g*t - 5*t - 1979997. Round t to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386 times -7080.3?\nAnswer: -2732.9958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 385 = -45. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/2 - 939*s**4 - 1872*s**3 = 0. What is s?\nAnswer: -624, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 488*r**2 + 20*r - 20. Let o(p) = p**2 - p + 1. Calculate -a(b) - 20*o(b).\nAnswer: -508*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((35\/(-7))\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36338.47 minutes to microseconds.\nAnswer: 2180308200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*m - 58829 = 1160*m - 9013 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 56*n - 286. Does 7 divide c(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/144*8*8\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 3 = 0. Put -2, m, -5 in descending order.\nAnswer: -2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64108.\nAnswer: 2, 11, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21092274 to the nearest integer?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 8, 0.54, 0.5, -64, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 801 + -802. Let p be (-5478)\/1092 + (-1)\/q*5. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19833833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t - 96. Let m(j) = 2937*j + 3. Give m(k(h)).\nAnswer: -26433*h - 281949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 2\/33, -1\/7, 223?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*q = 2*u + 37, 2*u + 16 = -4*q. Let c be u\/(-10) + 2\/2. What is the units digit of -13*c*(-1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 - 2*r**2 + r + 2. Let y be u(2). Let d = y - 35. Solve h - d = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128069492 + -70809492. Round k to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11966*s + 1186944 = -2693*s for s.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 11. Let o = 433 + -369. What is the remainder when o is divided by y(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3799, 5 in ascending order.\nAnswer: -7, 5, 3799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*v - 6, 2*q + v + 1 + 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 24 = 0. What is the third derivative of -49*h**3 + k*h**5 - 13*h**2 + 49*h**3 wrt h?\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106588.1 - 106588. Let k be 6\/(-9)*1\/2. Sort f, 3, k, -1 in descending order.\nAnswer: 3, f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*s + 34 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 70\/210*95\/(-57)*(-1)\/(-5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 + 3. Let j be d(6). Suppose j*t - 2*i = 20 + 3, -3*t = 5*i + 5. Calculate the highest common divisor of 45 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -113, -87, -41, 31, 135, 277, 463?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.82 - -104.82. Let c = -10.1 - -3.1. Sort -0.01, c, 0.1, w in increasing order.\nAnswer: c, w, -0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x + 0*x)*(-2*x + 0*x - 3*x)*(-1 + 6 - 4)*(3 - 4 + 2)*(3*x + 0*x + 3*x).\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5 - 5\/25*-123. Solve -12*r + 7*r - 15*r**3 - 3*r**4 - 7*r - g*r**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2349824 and 2077?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -98 in descending order.\nAnswer: 6, -9, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3\/7, 172, 2\/5 in increasing order.\nAnswer: 2\/5, 3\/7, 4\/7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 5:34 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-2\/39)*v*v**(1\/2)*v**(1\/13))**(2\/27) assuming v is positive.\nAnswer: v**(131\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37567522 to the nearest integer?\nAnswer: 6129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/30*-4)\/(8\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 4, h: 1, x: 2, v: 6, b: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**3\/3 + t**2\/2 + 3*t + 4. Let u be b(-5). What is the highest common factor of u and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -151?\nAnswer: -240\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19372039, 19372022, 19371983, 19371910, 19371791, 19371614?\nAnswer: 19371367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 345901078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 - 37298068.18392\nAnswer: -37298068.33392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 96349907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1532427 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 9. Let w(o) be the first derivative of -2*o**2 + 6. Is w(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 is the distance between -52.44 and -41418823069?\nAnswer: 41418823016.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 16*y - 210. Solve -2*m + y = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59278 is divided by 2195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 3*r**4\/16 - r**3\/2 + r**2\/2 - 6*r. Factor h(v).\nAnswer: (3*v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -0.3, 4, -5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1279, -21, -5 in increasing order.\nAnswer: -21, -5, 45, 1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*p - 5. Let b(n) = -n**2 + n**2 + n**p + 5*n. Suppose t + 17 = -4*x, 4*t + 0 - 4 = 2*x. Determine b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34373 and -0.05.\nAnswer: -0.0171865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226000 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 j, and 1 k when four letters picked without replacement from {j: 4, g: 5, k: 4, x: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:58 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3 + 1. Let n = -19 + 19. Put n, b, 5 in increasing order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19*c. Suppose 0 = -8*l - 608 + 2728. Let a(h) = -143*h**2 + l*h**2 - 129*h**2. Give i(a(g)).\nAnswer: -133*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25506045 - -25508844.60048. Let s = b + -2800. Let i = s + 0.4. What is i rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 2\/15 (c) -1763 (d) -5\/4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 1180*a - 3589. Calculate d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3368791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.4 - -25.99. Let x = k + -0.58. Which is the nearest to -1? (a) x (b) 1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(-2 + sqrt(175) + -2*(-3 + sqrt(175)) + -1) + -1)**2.\nAnswer: -880*sqrt(7) + 5842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67267, -269070, -605409, -1076284, -1681695, -2421642?\n\"Answer: -67268*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/11 and -2\/11637?\nAnswer: 128007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (2\/2 - 4). Let w(t) be the third derivative of -t**4\/24 + 5*t**3\/6 + 5*t**2. Let r(c) = c - 1. Determine o*r(g) - w(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 885213 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/q**0))\/q)\/((q**15*q)\/q*q))\/(q**14*q*q*q*q**(-14)) assuming q is positive.\nAnswer: q**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-14 - (-1 + -5)) - 16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606621869?\nAnswer: 7, 307, 282281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*m = 142*m - 280 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 = -2*i - 5*o - 13, -2*i + 719 = 3*o. Calculate the smallest common multiple of 88 and i.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 - 125. Let q = -134 + w. Factor 4 - 624*r**4 + 622*r**4 - 8*r + 8*r**q + 2 - 4*r**2.\nAnswer: -2*(r - 3)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680 - -699 - (40 - (-2 - 1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -1)))**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19dbc42 - -5?\nAnswer: 19dbc47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-88)\/56*(-2)\/6. Let z = 18\/701 - 12295\/14721. Let l = z + k. Is l greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -540.\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/75*119405\/(-308) + 608\/(-4560) + -5?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 83*b**2 + 42*b - 37. Let c be j(41). Let r(v) = 4*v - 1. What is r(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606043322 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least -1\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5 - 41350*k**4 - 109159730*k**3 - 77595488100*k**2 + 38134879815375*k - 75958503738750 = 0.\nAnswer: -2865, 2, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s - 6*s - 48*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (-13 - 2) + 27 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u + 3. Let l be -2 - 8*(-4)\/8. Let f(c) = 2 - l + 1 + 0. What is 2*f(m) - w(m)?\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 24*f**2 - 25*f - 10. Let y be b(-25). Let d be (-795)\/(-35) + y\/(-35). Solve 4*r + 27 = -5*o, 5*r + o + d = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -172*g - 166. Determine n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 9:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -29 - (-9 + 1)) + -14 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0094 and -6369772.\nAnswer: -6369772.0094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48\/14 + (-4)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/2 + -13)\/(-2). Which is smaller: 9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 21 - 44 - 213*c**2 + 1 in the form x*c**2 + m*c + k and give x.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 13. Let m be y(-6). Let v(n) = -n**2 + 18*n - 14. Let x be v(19). Let p = x - -58. Calculate the greatest common factor of m and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574264397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/10*(-10)\/(-12) and 1550\/84 + (-6)\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by 2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4370 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -23242022?\nAnswer: 23242010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9044728 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-209.318\nAnswer: -209.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (360\/8505)\/(116\/261) - 1424\/(-42)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(39)\/sqrt(3) + -3.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5489856 is divided by 5489842?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 427520 divided by -4\nAnswer: -106880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(2 - 2 + 1) + 0 + 1 + 2)*(-20 + 0*v**2 + v**2 - 16).\nAnswer: 4*v**2 - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1564051, 3128111, 4692171, 6256231?\n\"Answer: 1564060*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -727808 - -349347659\/480. Calculate the common denominator of -73\/192 and d.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 109\/1513?\nAnswer: 109\/1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31117 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, n: 4, h: 1, j: 1}. Give prob of sequence jy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*j + 3, 0 = 5*j + 2*l - 10 - 9. Which is the closest to -0.1? (a) -3 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a**2 + 99*a - 643. Give w(6).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -218c7c + -6?\nAnswer: -218c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28886 = -3*q - 17*x + 21*x, 0 = 2*q + 4*x - 19284. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 12, 18?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 3*p**2 + 4*p + 4. Let q be c(-4). Let o(w) = 9*w**2 - 2*w + 2. Let h be o(2). Solve -3*l + h = -8*l + 3*j, -4*l - q*j = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4747 - -12055. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 5*k**2 - 10*k**2 + (-6*k + k + 3*k)*(-3 + 3 - k) - k**2 - 4*k**2 + 2*k**2 + 0*k + 0*k - 2*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1\/4*s**4 + 70 + 1\/15*s**5 + 1\/2*s**2 + 0*s - 1\/9*s**3. Let q(w) = 0. Calculate w.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69217.66 + 68618. Round h to zero decimal places.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 63. Calculate the remainder when w is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -20?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 63. Let f = 39 + v. What is the third smallest value in f, 2, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose k*l = 5*o + l + 1001, -404 = 2*o + 4*l. Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))**(-6\/7)\/(j*j**(-4)*j\/j**(-4\/5)) assuming j is positive.\nAnswer: j**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(3\/(-121)) + -1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1135*g - 4538. Let l be v(4). Solve 4*x - 8*x + 24 = 5*d, 10 = l*d + 2*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 - 20?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 33. Suppose h**3 + 3*h**3 - 4 + 6*h - x*h**3 - 2*h**3 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*y + 1314 - 1322, 0 = y - i - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6401, 14154, 21917, 29696, 37497, 45326, 53189?\n\"Answer: n**3 - n**2 + 7749*n - 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*x - 476. Is 44 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 105853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 410 = 3*l - 3*i, -2*i = -4*l + 410. What is the remainder when 120 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 19 = 3*b. Let d = b - -12. What is the smallest common multiple of 591\/39 - 3 - d\/(-13) and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*m + 5*w - 63, -4*w = m - 20. Suppose 0 = 6*b - m - 46. Suppose -25 = 6*o - b. Let c(h) = 10*h + 3. What is c(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6.04. Let x = -0.26 + w. Which is the second smallest value? (a) -5 (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -18*d**2\/7 - 3236*d\/7 + 720\/7 = 0.\nAnswer: -180, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) + 0\/(-1). Let l = 1414 + -1412. Solve -3*w + l = -g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32\/233 - -6767\/10252. Calculate the common denominator of v and 79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44544 and 242432?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -9*r**4\/8 + r**3\/3 + 15*r**2 - 27*r. Let d(q) be the first derivative of g(q). Let n(h) = h. Give n(d(j)).\nAnswer: -27*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**6\/900 - 11*b**5\/300 + 3*b**4\/10 + 199*b**3\/3 + 198. Let h(f) be the third derivative of y(f). Find l such that h(l) = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g + 23*g + 994*g**3 + 29*g + 0*g - 985*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(10) + sqrt(90)))\/(-3*sqrt(1089)) + (sqrt(12) + -1*sqrt(12) + 1 + (sqrt(144)*-2 + sqrt(144))\/sqrt(12))**2.\nAnswer: -529*sqrt(3)\/132 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3*11\/((-308)\/12). Factor 0 - s*z**2 - 1\/7*z**3 + 0*z.\nAnswer: -z**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2496 and 181428?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 32737709*q. Let u(i) = -i. Determine u(p(c)).\nAnswer: -32737709*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*u + 148 = -2*u, -5*x + 3*u = -265. Suppose -88 - x = -6*b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/20)*(3159\/(-104))\/(-27)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22866 - 22866 + 1469*y as f + d*y and give d.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n - 36 = -h, 0 = -h + 5*n + 12. What is the greatest common divisor of 135 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 67 - 5. Calculate the remainder when -7 - 22\/(-3) - 1810\/a is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - 2*a + 1. List the prime factors of m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5092\/5 (b) -6 (c) 0 (d) -3\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(28\/9)*z**4\/z*z*z\/(z**10*z) assuming z is positive.\nAnswer: z**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3638204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11349, 6963, 2577, -1809?\n\"Answer: -4386*z + 15735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15240 + -4?\nAnswer: -15244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(5 + 2 - 1)*(-4 - 3 + 4)*(-539 + 253 + 260).\nAnswer: -468*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94933.77ml in litres?\nAnswer: 94.93377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 60*m - 2027. Let u = 6 - -3. Calculate the remainder when m is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -13.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z**2 + 3*z + 4. Let r be f(-2). Let d = -8 + r. What is the second derivative of -4*g + 9*g + 0*g**2 - 2*g**2 + 9*g**d wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 40. Let u(h) = 23*h**4 - 4*h**3 + 6. Let b(o) = -23*o**4 + 3*o**3 - 7. Let k(z) = t*u(z) + 4*b(z). Differentiate k(v) with respect to v.\nAnswer: -92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -6*s - 2747. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5860*s + 6. Let h(l) = 17584*l + 21. What is 4*h(t) - 14*y(t)?\nAnswer: -11704*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10138, -40658, -91524, -162736, -254294, -366198, -498448?\n\"Answer: -10173*c**2 - c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -1\/2, -37\/6, 1, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-42))\/(8\/42)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21743, 21741, 21737, 21731, 21723, 21713, 21701?\nAnswer: 21687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.5 (c) -0.0805 (d) -2\/9 (e) 364 (f) -1\/2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21583*b**6*d - 90*b**4*d + 3*b**3 - 2*b**2*d + 216992*b**2 - 3*b*d - 2*b - 2*d + 2 wrt b?\nAnswer: 2589960*b**3*d - 2160*b*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -53, 3, 4, 0.5, 28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 21536*a**2 + 28352820*a - 1717691112.\nAnswer: 4*(a - 58)*(a + 2721)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 25030\nAnswer: -26\/12515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -107. Let z = i - -13. Suppose -z*d - 10350000 = -14*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Let g be (0\/(-1))\/(5 - (-8 - -15)). Solve x*y - 2*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19531*o**2 - 2*o. Let t be j(-8). Let l = 2588 + -1832. Let n be l\/(-15)*t\/(-6). What is n rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7465 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2187122 and 65085734.\nAnswer: 1887486286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -1252486?\nAnswer: -1252484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 11*k**2 - 5*k - 7. Let v be s(-7). Suppose 0 = 10*d - 5*d - v. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdndo. What is prob of picking 1 d and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12380587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 + 14764.33?\nAnswer: 14768.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1256\/6105 (c) -0.4 (d) 1\/4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*w + 25, -m - 2 = -7. Suppose w = 4*p - 76 - 20. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -122*m - 1118. Determine q(-11).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5225)\/38)\/55*-10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 2}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + (19 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*c**3*m*x + c**3*m - 2*c**3*u*x - 23*c**2*m*x - m*u*x + m + 506*u*x wrt u.\nAnswer: -2*c**3*x - m*x + 506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 37*p + 19*p**2 - 33*p**2 - 30*p + 65*p + 18*p**2 in the form f + z*p + y*p**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 3*b**2 - 5*b - 6. Let g be d(5). Let t(o) = 2*o**2 - 11*o + 6. Let m be t(-6). Let r = m + g. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36.4 greater than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcr when three letters picked without replacement from cjjrjrvjv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 10*m**3\/3 + 15*m**2\/2 + 187. Let o(h) = h**2 + h. Give -k(l) + 15*o(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -24. Suppose 90 = -p*q + 5*q. 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: In base 6, what is -1433355224 + -1?\nAnswer: -1433355225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2325599.\nAnswer: -9302396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -v + 2*q + 195, 5*v + 4*q - 1602 = 0. What is the lowest common multiple of 8 and v?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 310 = -18*u. List the prime factors of u.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let z(k) = 64613*k + 152. Determine i(z(g)).\nAnswer: 64613*g + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 - 4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48065 or -119?\nAnswer: -48065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 142*x**2 + 0 + 146*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0709255 rounded to four dps?\nAnswer: -0.0709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**5 + 177*r**3 - 244*r**2 + 11*r - 2.\nAnswer: -360*r**2 + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 125*r + 56. Let i(h) = 60*h + 45. Let f(u) = -5*u. Let a(l) = -40*f(l) + 5*i(l). Let k(v) = 4*a(v) - 15*x(v). What is the derivative of k(b) wrt b?\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/34958 and -109\/14?\nAnswer: 34958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + 0.4. Let r = -10.9 + 11. Suppose 0 = g - 0 - 1. Which is the closest to g? (a) y (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/9, -10, 5339, 1\/3, -3\/4, 3\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3*l**2 + 0*l**2)*(-3 + 2 + 0)*(0 - 2 + 3).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 3. What is l(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from zzhzhzz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -13 (c) -1331 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1208.6+-954186521\nAnswer: -954187729.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 1 + (-21 - -20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, -2, -2\/137, -12, 0 in ascending order.\nAnswer: -320, -12, -2, -2\/137, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 102?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9945, 9949, 9945, 9933, 9913?\nAnswer: 9885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:15 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 4*a**2 + a**3 - 5*a**2 + 2 - a**4 as z*a**4 + j*a**3 + u + d*a**2 + s*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.03 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -90, -100?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f = 2050214 - 2050518 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*d**2 + 1285*d**3 + 2283*d**3 + 2923*d**2 wrt d.\nAnswer: 21408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1288818*g - 1288812*g + 240 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 0*u + (2 - 2 + 2*u)*(1 - 5 + 2) - 6*u - 62*u + 129*u - 2*u - 13*u + 0*u)*(-1 + 3 + 0 + (-2 + 1 + 3)*(-2 + 6 - 2)).\nAnswer: 246*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000425 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*(t*t**(2\/7)*t*t)\/t)\/t)\/t)\/t)\/(t*t**(-6\/11)*t*t)*t*t**(3\/8)*t*(t**7*t)\/t*((t**(-2))**(-11))**(-2\/5) assuming t is positive.\nAnswer: t**(1251\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4214, 4218, 4226, 4238, 4254, 4274?\nAnswer: 4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-8)*(u**(-7)*u)\/(u**(-4)*u) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 327381.74\nAnswer: 982145.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140 + 48 - 67)*(0 + 0 - 3*a**2) + 9*a - 9*a - 6*a**2 + (3 - 2 - 2)*(-5 + 5 + 5*a**2) - 3*a**2 + 4*a**2 - 2*a**2 as x*a + z + i*a**2 and give i.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 199*z + 2986. Let q be y(-14). Let l(h) = 9 + 1 - 1 + 13*h. Let t(m) = 3*m + 2. Determine q*l(s) - 18*t(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (12 - 12) - (-4 - -15)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*y**3 + 31 + 28 + 29 + 25 - 113.\nAnswer: -132*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: (10\/20)\/((-26)\/(-24) - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -12*t**2 - 634*t + 635. Give m(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4440 + 230 + 66 - 1358*k**3 + 103 wrt k.\nAnswer: -4074*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1)\/(27\/(-15))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 570\/(-304)*(-4)\/10. Which is the third smallest value? (a) 5 (b) 5\/3 (c) -0.8 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17039 divided by 1\nAnswer: -17039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -7938.62 and 2.\nAnswer: -7936.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Let w = a - 2.9. Let q be 2\/(12\/10)*(-30)\/(-225). Put q, -2\/15, w in decreasing order.\nAnswer: q, w, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2 - ((8 - 7) + -1). Solve 4*m + o + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 59737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 15*g**2 + 20*g - 31. Let r be k(-15). Let l = r + 16549\/50. Is 0 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*-3*60\/(-252)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -4, -2\/21, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:14 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293475363 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6891 is divided by 383?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.66 - 63.66. Which is smaller: a or 48\/103?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose -s*d + 40 = 3*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 - 8*w + 30. Let p be g(6). Suppose 1085*v - 1086*v + p = 0. What is the greatest common factor of 90 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72c7 + -2?\nAnswer: 72c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 24, 43, 76, 129, 208, 319, 468?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-64 - -36) + 41\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7 or 1261397?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1445*m**2 - 1285*m - 245. Let y(s) = -241*s**2 - 214*s - 41. Let b(h) = -4*l(h) + 25*y(h). Find c, given that b(c) = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 32*p. Let x(n) = -151*n - 176*n - 166*n + 591*n - 159*n. Calculate r(x(h)).\nAnswer: -1952*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 1)*(4*u - u - u + (-u + 0*u + 3*u)*(-5 + 6 - 4)) in the form w + o*u and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(-2*sqrt(1900) + 4))**2.\nAnswer: -23040*sqrt(19) + 1096704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1220204864.06 - 12.6.\nAnswer: -1220204876.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/6 + 220181*t\/3 - 440363\/6 = 0.\nAnswer: -440363, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26036.\nAnswer: 2, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:48 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (-104 - -110) - (7 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241720 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266 divided by -8311?\nAnswer: -2266\/8311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 16. Let p be t(-3). Solve 0 = -2*n + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 308*w - 1566. What is the ten thousands digit of y(-88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 779 and -2.\nAnswer: -1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) -2\/9 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(8\/444). Let t = d + 408\/11. Let h be 21\/9 - (-1)\/6. Put 3, 1\/2, h, t in increasing order.\nAnswer: t, 1\/2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/20 + 7*b**4\/6 + 13*b**3\/6 - b**2\/2 - 30*b - 15. Let d(j) be the first derivative of w(j). Determine d(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*v**3 - 47*v + 11*v**3 + 32*v**3 to p + i*v**3 + m*v + y*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 5*k - k + (0*k - 6*k - k)*(4 - 5 + 3) - 16*k - 53 + 53 as m + r*k and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 0.05938, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3435037502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -6*h**4 - 319*h**3 + 11053*h**2 - 91825*h + 185097 = 0?\nAnswer: -79, 3, 11, 71\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + 0 - 7. Suppose -2*s + 0*s + 8 = 0. List the prime factors of c\/5*(-30)\/s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -3*m. Let g be (5 + -7)\/(((-18)\/(-21))\/3). Let h(r) = -r**2 - 11*r - 20. Let d be h(g). What is the greatest common divisor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -283cb?\nAnswer: -283c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {a: 4, f: 1, h: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 489 = 112. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 1. Let c(a) = 50 - 137 + 43 + 43. Let u = 7 - 4. Calculate u*i(m) + 2*c(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.806 - -0.806. What is the closest to m in -0.22, 1, 0.5, 1\/7?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 99. Let s be ((-16)\/(-24))\/(4\/i). What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25979 + 0.04021. What is the second smallest value in i, 1\/3, 0, 0.4, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. Let s(t) = -4*t**3 - 5*t**2 + 5*t. Let z(u) = 2*u**2 - u**2 + 0*u**2 + u + u**3 - 2*u. Let f be 1 + 1 + -1 + 1. Calculate f*s(r) + g*z(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -98 - 1c8?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/965 or -1?\nAnswer: -2\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13586803 and 42950.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 605*y - 1205. Let c be b(2). Let x(a) be the third derivative of 17*a**2 + 1\/9*a**4 + 0*a + 0 + 7\/90*a**c + 0*a**3 + 1\/60*a**6. Factor x(k).\nAnswer: 2*k*(k + 1)*(3*k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 8) to base 3.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(2 - 40 - 3)*(k + 5*k - k).\nAnswer: -205*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5762 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0330447432 to five dps.\nAnswer: -0.03304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2395?\nAnswer: 2\/2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 123224. Let b(u) = -q*u - 303043*u + 81268*u + 2. Let m be b(-2). What is m rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 34 = 48 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126499, -506293, -1139283, -2025469, -3164851, -4557429?\nAnswer: -6203203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 118*r. Let b(p) = 2*p - 1. What is 2*b(x) + v(x)?\nAnswer: 122*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 221 + 509 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/1 + -9 + 30\/6. Suppose 11*k - 1177 = 10*k + j, 0 = k - z*j - 1197. What are the prime factors of k?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 16, 113.878, 8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 157. Calculate the remainder when 196 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -4. Which is the biggest value? (a) m (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 677 + -23.962.\nAnswer: 653.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 580262 divided by 290131?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7835, 62945, 212507, 503741, 983867, 1700105?\n\"Answer: 7870*h**3 + 6*h**2 + 2*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2 = 5*c, 2*c = -2*c - 3*g + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -959, -1951, -2943, -3935, -4927, -5919?\n\"Answer: -992*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -4\/9 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1976, 1943, 1862, 1709, 1460, 1091?\n\"Answer: -4*u**3 - 5*u + 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 4*q + 7. Let r(y) = -4*y**2 + 15*y - 17. Let z(d) = 5*d**2 + 14*d - 18. Let m(l) = 2*r(l) - 3*z(l). Give 17*i(o) - 6*m(o).\nAnswer: 2*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35179 and 3048.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -4*y - 49. What are the prime factors of ((-14)\/28)\/(2\/y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5206*h**3 - 33*h**2 + 11. Let m(j) = -2603*j**3 + 18*j**2 - 6. Calculate 6*d(i) + 11*m(i).\nAnswer: 2603*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + b = -28, 2*s - 19 = 5*b - 2*b. Let w be 2\/(-1) + s - -2. Solve -4*c + 2 = w*a + 5, a = -5*c - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 50*m**2 - 84*m + 785. What are the prime factors of z(41)?\nAnswer: 2, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22816 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.0567 (c) -1057\/6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 87 = 5*z, 0*z = -2*z - 4*t + 46. Suppose -2*j + 7*j - x + z = 0, 4*j + 4*x - 4 = 0. What is the closest to j in 4, -11\/3, -0.1?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 0. Let g = -161 + 160.7. Let m be (1\/(-3))\/((-3)\/(-9)). Put g, m, s in increasing order.\nAnswer: s, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 6*v - 2*v**2 + 2*v**4 - 2*v - 110 - 2*v + 10*v as z*v + c + l*v**2 + s*v**4 + f*v**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -43. What is the lowest common multiple of g and 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:58 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:40 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17 = -3*y - 4, -5*q + 3*y + 39 = 0. Calculate the smallest common multiple of 8\/12 + 20\/q and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 1201, 4267, 10267, 20167, 34933?\n\"Answer: 161*n**3 + 18*n**2 - 83*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:14 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143.8 - -144. Which is the biggest value? (a) 4 (b) -1\/5 (c) n (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -81668*h. Let m(w) = -2*w + 324. What is y(m(b))?\nAnswer: 163336*b - 26460432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*w - 756855 = 2219*w + 1587*w + 2953*w for w.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64716235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -437*m**4\/2 - 6643*m**3\/6 + m**2 + 727*m + 1. What is the derivative of i(q) wrt q?\nAnswer: -5244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 12. Let x = 8 + -6. Let u be ((-12)\/(-15))\/(x\/5). Sort i, u, -1.\nAnswer: i, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -61. Let c(v) = v - 12. Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 6*i**4 - 14*i**4)*(1 - 1 - 4*i + (-3 + 1 + 4)*(-i + i + i) + 8 + 7*i - 8 + 2*i + 3 - 3 + (0*i + 0*i - i)*(-2 - 1 + 1)).\nAnswer: -54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1812 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = 568*u + 10457 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmbdamadmlddalm. What is prob of picking 1 d and 2 m?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*297\/(-66). Let f(m) = m + 3. Suppose 0 = -2*r + r. Let n be f(r). Is n >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Suppose -4*i + 2*r + 12 = 3*r, 2*i + 12 = 4*r. Let u(j) = j**i - 5*j + 5573 - 5573. Give u(y(k)).\nAnswer: 4*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9396 + -9395.8199996. Let x = 0.3 + -0.12. Let f = x - l. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -120*k + 109*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -1, 0.3, -5989\/4, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -386, -975, -1796, -2849, -4134, -5651?\n\"Answer: -116*d**2 - 9*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 923678714811 + -0.3.\nAnswer: 923678714810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.88 + 23. Let x = f + 14.88. Let k = 15.4 - x. Which is smaller: k or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699564 to the power of 1\/2, to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -86. Let g(o) = 5*o**2. Let i be g(v). Calculate the greatest common factor of i and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 10*c**2 + 2055*c + 1341. What is k(30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**8\/2688 + 13*i**7\/80 + 551*i**6\/480 + 829*i**5\/240 + 369*i**4\/64 + 277*i**3\/48 + 95*i**2. Solve z(h) = 0 for h.\nAnswer: -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-35)\/(-7)))\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 1086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 2.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**3\/3 - 2*l**2 - 4*l - 3. Let b be w(4). What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*d + 55 = 0, 3*t - 10260*d = -10261*d + 6. Solve -5*a + 4*g + t = 0, -14 = -2*a - g + 5*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 7589709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2 - 9623244*c + 128533432.\nAnswer: 6*c - 9623244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015594624?\nAnswer: 2, 11, 23, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 65*i + 29. Let o be y(-22). Let g(d) = -24*d + 7. Let k(m) = -17*m + 5. Let s(p) = o*k(p) - 5*g(p). Let n(j) = 4*j + 3. Determine s(n(a)).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9799223.\nAnswer: 7, 53, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + (sqrt(288) - (sqrt(288) + -4 + sqrt(288))) + 4)*6)**2*-1*2.\nAnswer: -1005696 + 622080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121906 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3\/52, 2\/5 in ascending order.\nAnswer: -3\/52, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let o(k) = 802*k. What is z(o(s))?\nAnswer: -1604*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/90 + 11*r**5\/30 + 11*r**4\/3 + 101*r**3\/9 + 91*r**2\/6 - 640*r. Factor v(x).\nAnswer: (x + 1)**2*(x + 7)*(x + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6*b + 6. Let s(d) = d**2 - 5*d + 5. Let c = 11 - 5. Let o(x) = c*s(x) - 5*v(x). Let t(f) = -2*f**2 + 5*f**2 - 2*f**2 + 0*f**2. Give o(t(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -8, 54 in decreasing order.\nAnswer: 54, -8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 649c (base 13) in base 15?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311433111 + -12?\nAnswer: 1311433044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, x: 2}. What is prob of sequence or?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12233103 = 3*c, 4*c + 3*a - 15841052 - 469754 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 36*y - 2*l = -16, 0 = l + 4. Solve -2*a - 4 + y = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -25.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -10, -9\/16?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (275\/(-20)*(-6)\/(-15))\/(13\/26)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14674)\/(-203) - (-2)\/(-7). What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22116?\nAnswer: 2, 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-12))\/((-18)\/(-168))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 + 44*a - 72 = 0. Calculate a.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -22*b. Let d(y) = 328*y. Calculate u(d(w)).\nAnswer: -7216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 384, 697, 1112, 1659, 2368, 3269?\n\"Answer: 5*z**3 + 6*z**2 + 188*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 + 77. Let a(s) = -218*s**2. Give u(a(k)).\nAnswer: -218*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 88*s - 343. What is the remainder when (-1152)\/(-5) - (-10)\/(-25) is divided by h(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 829.1 from 0.0637582.\nAnswer: -829.0362418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x + 3*x**2 - 4*x - 20*x + 25 - x. Let s be u(1). Sort -24, 0, s.\nAnswer: -24, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*q + 446*q - 68*q - 169*q.\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 0.3, -2\/15, 19?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, -0.4, 0.2, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, x: 1}. Give prob of picking 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-68 + 68 - 160*i).\nAnswer: -160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 35 - -19) + 7 + -13?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {r: 1, v: 2, d: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24885 by -4977.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(9\/2)*y)*y)\/y**(-2\/5))\/((y*y**(2\/9))\/y**(1\/6))*((y**14*y*y)\/(y*y**(-3\/4)))**29 assuming y is positive.\nAnswer: y**(81467\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300271542 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 - (-29 - (10 - 49))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53835, -30, -322 in descending order.\nAnswer: -30, -322, -53835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4581.411 - -4582. Which is greater: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from {e: 4, w: 2, i: 1, x: 1, a: 9}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 4 + -5)*-4.\nAnswer: -36*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 3*v - 4 + v. Let q(a) = -a - 1. Let s be ((-1)\/6)\/(8\/(-48)). Let d be -10 + 18 + 0 + s. What is d*q(i) - 2*p(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19205 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*-163\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 59. Let t(z) = -2*z - 3. Let w be t(-4). Suppose -3*q - w = -2*p, -3*p = 2*q - q - 13. Calculate the greatest common divisor of p and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18216 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*m + 5*v, -5*m + 29*v - 13 = 27*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z + 66*z + 10 = 0. Suppose 3*n + z*n - 25 = 0. Solve -n*h + 4*h = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.1, -3\/25846, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2778272 by 16.\nAnswer: -173642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -1.4. Let u = 4 - 3.96. Let z = -2.04 + u. What is the closest to 0 in r, 0.2, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4454?\nAnswer: -3\/4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v**4 - 16*v**2 + 0*v - 1\/10*v**5 + 0*v**3 + 0. Let y(l) = -l. Determine u(y(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41278, 82555, 123830, 165103, 206374, 247643, 288910?\n\"Answer: -u**2 + 41280*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3469139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*n + 4 = 1, -2*f - 2 = 2*n. Let g(h) = h - 1. Let j be g(3). Suppose c = j*c - 3. Solve -2*y + c*w = -5 + f, -4 = -2*y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*r**4 + 65*r**4 + 63*r**4)*(-5*r + 3*r - r) + r**5 - r**5 - 3*r**5.\nAnswer: -303*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276353 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1430 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*t = -i - 65*t - 66*t - 24, -8*i = -2*t + 38 + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfw when three letters picked without replacement from kywwwkwbfmbbkyyww?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 63\/5, -0.09, -14, -0.0252?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5173\/36 - -553\/4. Let n = u - -172\/9. Let j = -14 + n. Which is the closest to -2? (a) 0.2 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 47 - 67 = 0. Let b = 344\/9 + j. Suppose 2*l + 9*x - 4 = 5*x, x - 1 = 3*l. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/4, 0.2, -0.5, -1\/18, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4279631441 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiijiiijjjiijii. Give prob of picking 2 i and 1 j.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(4)*1)\/sqrt(2) - (sqrt(2) + (sqrt(2) - -3*(1 + sqrt(2)) - sqrt(2)) + (sqrt(8) - sqrt(24)\/sqrt(3))\/sqrt(4)).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-26)*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 1551, 3469, 6187, 9723, 14095, 19321?\nAnswer: 25419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1002011 (base 3) to base 8\nAnswer: -1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90.000082 - 90. What is o rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1003319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 4. Calculate the remainder when x is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 18*s**2 - 4*s - 19. Let l be w(-6). Put l, -2, -9 in increasing order.\nAnswer: -9, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**3 - 98900*d**2 - 1855822*d + 538308 = 0. What is d?\nAnswer: -19, 2\/7, 7083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1689456 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = -329*m + 330*m, m = 2*g - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Let d = -13 - -15. Let q = 2 - 3. Put d, q, j in increasing order.\nAnswer: q, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:26 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 998983664?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460*v**2 + 1629*v**2 - 417*v**2 to the form g*v**2 + w + j*v and give g.\nAnswer: 1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmrmmmmmrmmmr. What is prob of picking 2 r and 2 m?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -5*j**4\/12 + 5*j**3\/2 + 31*j. Find n such that o(n) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(14\/3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 12*n - 16. Let j be t(11). Let r be (8\/(-12))\/((-2)\/9). Which is the second biggest value? (a) r (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let y be 4\/((-32)\/20) + v. What is the third biggest value in -0.4, y, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -353*i**3 - 363?\nAnswer: -1059*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 4. Let x(l) = -2*l + 9. Suppose 5*d - 208 = 102. Suppose d*k - 18 = 64*k. Give k*n(f) - 4*x(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (12 + -3) - ((3 + -4 - -14) + -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 d, and 1 o when four letters picked without replacement from uoujdouu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(275) + ((2*sqrt(275) + -4 + sqrt(275))**2 - sqrt(275) - sqrt(275)).\nAnswer: -125*sqrt(11) + 2488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238? (a) -371 (b) -0.3 (c) -0.4 (d) 0 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 - w. Let z be h(10). Let o be (z\/(-6))\/(4\/(-12)). Suppose 19 + 1 = -5*c. Put o, -3, c in descending order.\nAnswer: -3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.6569 nanograms in milligrams?\nAnswer: 0.0000686569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 7*m - 3. Let k be z(3). Suppose 2 = -2*q, -4*r + k*q + 291 = -3*r. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26248996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**3 + 20 - 20 - 43*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b + 20. Let m(l) = -8*l + 21. Calculate 4*m(t) - 5*u(t).\nAnswer: 3*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (221164*17\/(-204))\/((-3)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000608787 rounded to seven decimal places?\nAnswer: 0.0000609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:16 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**3 - 8*z**2 + 15*z**2 + 1526 - 759 - 771 - 7*z**2.\nAnswer: 19*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 1, g: 2, h: 8}. What is prob of picking 2 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22813669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 50 = -6. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*b**2*h**2 - 7*b**2 + b*h**3 - h**3 + 4 wrt h?\nAnswer: -40*b**2*h + 3*b*h**2 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*322033\nAnswer: 418642.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9167)\/57672*-54 - 24\/18?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01166 - -7.01166. What is the third smallest value in -5, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 5*s + 247 = 0, 0 = -78*l + 83*l + s + 29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155517278 divided by 14.\nAnswer: 11108377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2071 and 1539?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d + d - 339*d.\nAnswer: -311*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0.1, 0.3, 0.103?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-4)\/(-32))\/(10\/(-24))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183815778 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.92 + -38. Let w = h - 1.82. Let c = 2.9 + w. Which is greater: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1331635628 - 0.\nAnswer: -1331635628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 372049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002480016199 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -101\/5 (c) 0.4 (d) -659 (e) 5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -8 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = r. What is the least common multiple of (-8)\/r*(-9)\/2 and ((-15)\/(-4))\/((-3)\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3847663.\nAnswer: -3\/3847663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 3923888?\nAnswer: 392388e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-four thirds of a decade?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 13, c: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163232199 and 17928.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 62. Let n be i(0). Let p = -38 - n. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - (3 + -6 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzzz when four letters picked without replacement from {z: 3, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.07682 + 0.07682. Let s = -2 - -5. Let k be (-8)\/s*(-1)\/(-4). Which is the biggest value? (a) p (b) 1 (c) k (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 635 - 9005\/14. Find the common denominator of r and 89\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/9 + 11903738*y\/3 - 35711212\/9 = 0.\nAnswer: 1, 17855606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 3*t**2 + 4*t + 1. Let n(a) = -5*a - 2 + 2*a**2 - 5*a**2 + 6*a. Let m be n(1). What is u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d)*(-2*d**4 + d**2 - d**2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/218885, -1, 0.1, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -15. Let b be 0 + 4\/(-30) + 16\/d. Let v = -3.2 - -2.8. What is the smallest value in v, 0.05, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2440323 from -0.4.\nAnswer: -2440323.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) - (3 + sqrt(1088))**2) - (sqrt(425)*5 - sqrt(204)\/sqrt(192))**2.\nAnswer: -184169\/16 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 721, 263\/9, 0.2?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 - 5*z. Let g be x(-3). Let i = g + 115. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/9)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189441093.\nAnswer: 3, 31, 67, 30403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*h - 19*h - 8*h - 2*h + 0*h + 0*h + (2*h - 2*h - 2*h)*(-3 - 2 + 4) + h - 5 + 5 + h + 0*h + h)*(-5*h**2 + 2*h**2 + 0*h**2).\nAnswer: -123*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3*b + 21. Let y(a) = -391 - 388 + a + 782. List the prime factors of y(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + 2*n. Let f(x) = x**3 - 8*x**2 + 2*x - 6. Let s be f(n). Let m be (-2 - 2)*s\/8. Let j(p) = p**3 + 6*p**2 + 2*p - 3. Determine j(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a - 22. Calculate the remainder when 67 is divided by o(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l - 6. Let s be i(1). Suppose s*v - 2923 - 1145 = 0. List the prime factors of v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 30\/(-6) - (-1)\/(588\/(-198) + 3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/24*2*10*11\/33\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122 + (-137 - -19) - 130\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2049914 millimeters?\nAnswer: 0.0002049914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**3 + 365*z**2 - 50*z - 293. Calculate d(-61).\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 6*q**2 + 2*q + 2. Let w be o(-6). Let j be w\/4*(-4)\/5. Differentiate 5 + 3*a - 5 - j with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126334 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3 - 3)*(1 - 7 + 4)*(d - 1 - 6*d + 3*d).\nAnswer: -16*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 + 2 = 0, 2*x + 2 = -4*g. Which is smaller: x or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (52\/(-13) + 51\/12)*4. Let b(p) = p**3 - p**2 - p + 6. Let k be b(0). Put -3, k, l in descending order.\nAnswer: k, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23697 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238.523881 - 238.51. Round v to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -892a78 - -138?\nAnswer: -892940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13356)\/342 + 41 + (-3)\/(-57). Factor 0 + 3\/4*m**x + 3\/4*m.\nAnswer: 3*m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15196193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**43*o\/o**5)**(-33))**(1\/22) assuming o is positive.\nAnswer: o**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7495 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7656588.\nAnswer: 2, 3, 212683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -87, 2, -164, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667\/4927 at most -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11575 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203582834.\nAnswer: 2, 7, 13, 19, 113, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 a when four letters picked without replacement from {a: 2, b: 1, e: 1, w: 2, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -41. Let b = -536 + 567. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 7*n**2 - 7*n + 6. Let o(y) = y**2 - y + 1. Let m(a) = a. Let h be m(3). Let p be h + -5 + 2 - 6. Give p*o(q) + u(q).\nAnswer: -q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = j - 84, 1412*j - 1413*j - 21 = -s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 + 0.1. Let s be (-6)\/(-216) - (-2)\/9. Which is the biggest value? (a) k (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93183*b**4 + 4*b - 3*b**2 + 4 + 3*b**2 - 93185*b**4 - 10*b**3 as g*b**3 + u + k*b**2 + o*b**4 + a*b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100479.\nAnswer: 103, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.00105 millennia in decades?\nAnswer: 8900.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/833 and -4\/784343?\nAnswer: 13333831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.029 + -0.029. What is the second smallest value in -2\/3, -2, 0.16, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 5 (b) -18.9 (c) 1\/14 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/31688 and -91\/816.\nAnswer: 190128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4 + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeepeppeepp. Give prob of picking 1 e and 2 p.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*v + 2225 = -39*v. Sort v, -6, -5, -1 in descending order.\nAnswer: v, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3270910723694 less than 0.14?\nAnswer: 3270910723694.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7088397, -14176794, -21265191?\nAnswer: -28353588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781750, -781689, -781610, -781513, -781398?\nAnswer: -781265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (-34 - (-68 - (-22 + -30))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 8*l**5\/25 + 2579*l**4\/10 + 277778*l**3\/5 + 310408*l**2\/5 - 207368*l\/5 + 6782. Let g(k) = 0. Calculate k.\nAnswer: -322, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 159315?\nAnswer: 159315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160336 and 1056.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 53 = -4*t + u, -3*u - 55 = -4*t. Suppose -2*a - 146 = -2*b, 4*a - 5 = -t. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l. Let i(f) be the third derivative of f**7\/840 + 7*f**5\/15 + f**3\/3 - 3*f**2 + 5*f. Let o(p) be the third derivative of i(p). What is a(o(x))?\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 320726 - -1?\nAnswer: 320727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(8) - sqrt(40)\/(2*sqrt(5))))\/(sqrt(4) - sqrt(36)\/(-1*sqrt(9))))**2*6.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*p + 2\/11*p**3 + 0 + 0*p**2.\nAnswer: 2*p*(p - 2)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -375352880, -375352876, -375352870, -375352862, -375352852, -375352840?\n\"Answer: q**2 + q - 375352882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490.985 + 487. Round x to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 0.32. What is the nearest to 1\/2 in 5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237 * -2890.\nAnswer: -684930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/8000 and -33\/2000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*i + 44154 + 27072 + 673703. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -8.2. Let t = l + -8. Put 5, t, -4 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13109*z**2 - 15331*z**2 - 39441*z**2 - 1945*z**2.\nAnswer: -69826*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:23 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 10*l**2 - 17*l - 14. What are the prime factors of j(-11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 341?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 + 7 + -8. Let y be 4\/14*(k + (-696)\/(-675)). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 9:52 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -24. Suppose -75 = -3*r + o. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -13*p**2 + 9*p + 4. Let u(o) = -38*o**2 + 26*o + 12. Let x(f) = -6*u(f) + 17*v(f). List the prime factors of x(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -286, -300, -314?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 - 0.8. What is the biggest value in -8\/3, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -3*z. Suppose -5*k + 26 = z*n, 5*k + 2*n - 4*n = 16. Suppose t + 7 = -7*s + 2*s, k*s = 2*t. Let b(c) = 6*c**2 + c. What is b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/3 (b) 1\/2 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 0.3, -3, 5, -10, -11335?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -16 + 10 - (0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4662*k - 2311*k + 33 + 3*k**2 - 2315*k to m*k + x + n*k**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98439 and 20081556.\nAnswer: 20081556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:04 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1. Let c(h) = 21*h + 35. Let n(s) = c(s) - 35*u(s). Let d be 1\/2 - 18\/(-12). Let v(i) = 6 + 40*i**2 - 6 - 42*i**d. Give v(n(k)).\nAnswer: -882*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -0.1, 1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2 - 7*s + 3*s**4 - 2*s**4 - 1 + 3 - 5*s**3 + 0*s**4.\nAnswer: (s - 2)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 24. Let x(o) = -6*o**2 - 5*o. Let s(d) = -d**2 - d. Let k(v) = -10*s(v) + 2*x(v). Determine b(k(r)).\nAnswer: -8*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 + 5*k + 2. Let u(r) = -r**2 + 33*r + 193. Calculate the smallest common multiple of u(38) and w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - y**2 + 13 + 3*y**2 + 4*y - y**2. Let g be b(-5). What is the remainder when ((-6)\/g)\/(2\/(-15)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + 13*r - 64*r + 28*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -368\/3 (b) 11 (c) 9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*324\/(-378)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 12*v**3 - 813*v**2 + 798*v.\nAnswer: 3*v*(v - 14)*(v - 1)*(v + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50748?\nAnswer: 2, 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 24*x - 67. Let s be c(6). Let y(j) = -2*j**2 - 6*j - 1. Let w(q) = q**2 + 3*q + 1. Determine s*w(a) + 3*y(a).\nAnswer: -a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j**2 + 4. Let u be b(0). Let k be ((u + -3)*6)\/2. Find the third derivative of -93*s**k - 3*s**2 - 2*s**6 + 93*s**3 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*o + 615 + 663, 0 = 4*j - o + 1699. Let c = 775 + j. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Suppose 0*m + 4 = m. Let c(l) = -4*l - 9*l**2 + 8*l**2 + m*l. Calculate c(w(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 249970*s - 3124250045.\nAnswer: -5*(s + 24997)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 6 = 0. Let l(n) = 13*n. Let m(h) = -27*h. Let t(j) = p*m(j) + 5*l(j). Let z(a) = -93*a**2 + 94*a**2 - 5 + 5. Give t(z(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-4 + sqrt(475)*-1 + 4)**2.\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.905 + -25.9. Let n = 4.995 + -5. Let m = w - n. Which is the smallest value? (a) 5 (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 3. Let m be a(2). Let h(r) = 3*r**2 - 4*r - 2. Let d be h(2). Let u(z) = 146 + z**3 - d*z**2 + z - 5*z**2 - 148. Determine u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/47 (c) -21787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 579\/7150 + -3\/143. Let d be 0 - (-28)\/49 - (-24)\/(-42). Is r > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325845 divided by 21723\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -26277 at least as big as -18.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 295 + -168. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 9*m - 8. Suppose 4*t - 25 = -0*y + 3*y, -4*y - 20 = -4*t. Let q be a(t). Suppose -q*d = -11 - 11. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 9) + -33 - -75\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3970.714 + 3985. What is j rounded to 1 decimal place?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47985 divided by -1.\nAnswer: -47985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**2*x + 52*o**2 - o*x - 111*o - 21531*x with respect to o.\nAnswer: 6*o*x + 104*o - x - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 74, 101?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*k*w**2 - h*k*z + 2*h + 298*k*w**2*z + 8*k*w*z - 6*k*z wrt w.\nAnswer: 6*h*k + 596*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 38*o**2 - 21*o - 55. Let d be h(18). Are 215 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t - 2*d = 64, 0 = 5*t + 5*d + 305. Let k = t - -407\/7. Let j be (-2)\/4 + 6\/15. Put 0.2, j, k in descending order.\nAnswer: 0.2, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Suppose 0 = -i*p + 3 + 47. Let z = p - 5. Solve 4*h = 2*d - 0*h - 10, -z*d + h = 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*b**2 - 13*b**2 - 3 - 39*b - 11*b**2 - 60*b**3 + 62*b**3 to the form j*b**2 + q + c*b + x*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105123, 108049, 110975?\nAnswer: 113901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5 + w - 2\/5*w**2 = 0. Calculate w.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408751 is divided by 124?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24676692, 49353392, 74030094, 98706798, 123383504, 148060212, 172736922?\n\"Answer: b**2 + 24676697*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067062 times 0.6?\nAnswer: -640237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 211*j - 13014. Calculate p(86).\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 575479.2g?\nAnswer: 575479200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32157 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (78 - 78)\/(-1 + (0 - 0)). Suppose -58 = 5*n + 3*r, -5*n + c*r - 74 = -r. Is (-441)\/n*(3 - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 115 + 327. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 857, -2 in descending order.\nAnswer: 857, 32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78961 and 1405?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 598, 4944, 16918, 40390, 79230, 137308, 218494, 326658?\n\"Answer: 645*v**3 - 56*v**2 - v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775913?\nAnswer: 131, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {y: 1, p: 1, r: 1, k: 2, q: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793091 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -412.\nAnswer: -7\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(8\/5)*a\/a**23)\/(a**(-5\/2))**(2\/49))**(-16) assuming a is positive.\nAnswer: a**(79568\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*(-789 - 579*k + 789).\nAnswer: -1158*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1453 + 4?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000985371031 rounded to seven decimal places?\nAnswer: -0.0000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 30 = v, 3*v - 26 = -0*v - 4*p. Suppose -2*z + 18 + v = 0. Solve 7*n = 4*l + 2*n, 0 = -4*n - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61500*o - 30863*o + 6*o**2 - 30637*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719709?\nAnswer: 19, 90511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 74 - 1045*s - 307 + 75 + 84.\nAnswer: -1045*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4 - 2, -2*b - 3*v = -13. Suppose -b*a - 31 = 4*d - 10, 4*a - 8 = 3*d. Put d, -1, -7 in decreasing order.\nAnswer: -1, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t + 64. What is the lowest common multiple of f(-5) and 3807?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 41. Let m be (10\/2 + -6)\/(1\/k). Calculate the remainder when 44 is divided by -34*6\/8*(-2)\/m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600288 is divided by 100034.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110011110111011101 (base 2) in base 7?\nAnswer: 56625126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000508305 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:41 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 = o - 9, 4*o - 4*p - 24 = 0. Calculate the common denominator of 452\/o*10\/(-200) and -95\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*f*p + 209*f*q**4 - 7*f*q**2 - 4876*f + 39*p*q**2 wrt q.\nAnswer: 836*f*q**3 - 14*f*q + 78*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 62?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1157845663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 95. Let g = -161\/6 - p. Let l = 1073\/7 + -2187\/14. What is the common denominator of l and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 2*a + 10 - 32, -4*a = -2*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6762*d. Let b(z) = 3372*z**2. What is i(b(n))?\nAnswer: 22801464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 192\/5*200\/80. Let x be 2\/(-12) + ((-16592)\/d)\/(-17). Let s(v) = -4*v + 1. Let w(u) = -3*u + 1. Let k(q) = 5*s(q) - 7*w(q). Calculate k(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14665)\/(-27654)*((-2)\/(-4))\/(504\/(-432))\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*i - 2*i + 0*i)*(-521133*i + 1324*i**2 + 521133*i).\nAnswer: -2648*i**3 - 1324*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/42 and -149\/3552?\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 579952 and 24297392.\nAnswer: 8656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from pyypipiilppipyiy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r - 2*r**2 + 0 + 1\/6*r**4 + 1\/3*r**3. Solve g(f) = 0 for f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8266981um?\nAnswer: 0.0000008266981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.8 and -48.\nAnswer: 518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 9*j + 9. Let g be x(-10). Let o be g*5*(-4)\/(-130). Which is the third smallest value? (a) -0.2 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxwoeee. What is prob of sequence ewe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/9 - 16*n**3\/9 - 38*n**2\/3 - 200*n\/9 - 104\/9 = 0. What is n?\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*y - 830 + 1664 - 834 + 4384*y.\nAnswer: 4971*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1. Let b(h) = 6*h + 10. Let i(k) = -b(k) - 12*q(k). Determine i(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.82, -1\/2, -14.6, -2\/5, 5, 4 in increasing order.\nAnswer: -14.6, -0.82, -1\/2, -2\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + (-5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 less than or equal to -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 870.\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 1 + 0 + 24 + (-21 - -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 8*m**2 + 4*m - 16. Let g be s(-7). Let f(x) = 3*x - 9. Let y be f(g). Let n = 14 + y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.2355l in millilitres?\nAnswer: 544235.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 14*i + 4. Let w be u(-7). Let x = -4 + w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 899804785*o**2 - 145609518*o wrt o.\nAnswer: 1799609570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13491 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: b\"What is the rth term of 24, 20, 16, 12, 8?\n\"Answer: -4*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -88 (b) 3\/62 (c) -3.1528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 86. Solve a + m = -0, 4*a + 4 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 3. Suppose 2*w + 4*o + 24 = 0, w + 0*o - o = 0. Let u(f) = 13*f. Let j(c) = 20*c - 1. Let v(m) = 2*j(m) - 3*u(m). Give w*x(g) - 5*v(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127529 divided by 77\nAnswer: 127529\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4505*f**2 - 69*f - 23728*f**2 + 69*f.\nAnswer: -19223*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521.77 + -522. Is -17 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99021 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*b**2 + 6 - 6 + 3.\nAnswer: 4*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 8:53 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 170469.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5078*m**4 - m**3*x**2 - m**2*x + 3*x**2 + 332*x wrt m?\nAnswer: -121872*m - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4809 - 4809 - 193*w**2)*(w**2 - 2*w**2 + 0*w**2).\nAnswer: 193*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71\/((-39689)\/1204)*-13\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -523 + 732. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10891 - -15359. Suppose 0 = -24*g + 20*g + l. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 9663621.\nAnswer: 2\/878511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*i**3*u + 26*a*i**2*u + 3*a*i*r*u**2 + 11*a*r*u**2 - i**3*u**2 + 2*i**2*r wrt u?\nAnswer: 6*a*i*r + 22*a*r - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 105, 151, 177, 177, 145, 75, -39?\n\"Answer: -v**3 - v**2 + 70*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2062 - -8245\/4. What is the nearest to -9 in -1\/2, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -43*a**2 + 1458*a + 162. Calculate w(34).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 - 5\/(-2). Let y be -1 - 1 - ((-21 - -4) + -1). Suppose 0 = 5*v - v + y. Sort 0, z, v in increasing order.\nAnswer: v, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 3\/4 (c) 0.19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 2105*a**2 - 367480*a + 21437500. Let c(o) = 4*o**3 + 6316*o**2 - 1102436*o + 64312500. Let n(l) = 5*c(l) - 16*p(l). Solve n(b) = 0 for b.\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*v + 4*c + 40, -152*c = -150*c - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i - 21. Let d be m(-3). Suppose -d*k - 422 + 4145 = 0. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250605144 divided by -83535048?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-63))\/((-34)\/238)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 5*w**2 - 2*w**4 + (-2*w**4 - 2*w**4 - w**4)*(-41 - 5 + 13).\nAnswer: 163*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30743 + 31014 + 26*g**3 - 61345 + 14*g**3 + 21*g with respect to g.\nAnswer: 120*g**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 1, -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267230927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 345545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 19*t + 1. What is the remainder when f(4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*h - h**2 + 15*h**2 - 3575*h - 12*h**2 in the form c*h**2 + k*h + q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 774155 and -0.1?\nAnswer: -77415.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3066 - 836*y - 3066 as c + b*y and give b.\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + 61 + -64 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 152*-7885\nAnswer: -1198520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -15. Let d = -22 - -22. Suppose -k - 5*p = 0, d = -k - 2*p - 2 - 1. Sort 3, i, k in descending order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12743509 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1116370?\nAnswer: -2232740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 465 + 81 = 20*k + 7*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2450 and 4900.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 4. Let a be r(4). Suppose 2*b + 4*g = 116, -5*b - 4*g + 3*g = -263. Suppose -51*o = -b*o + 2. Calculate the highest common divisor of a and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 greater than 366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/2837, 0.03, 1517?\nAnswer: 2\/2837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b + 0*b + (-1 - 2 + 5)*(-3*b + 4*b - 3*b) - b + 0*b - 2*b + (-4 + 4 + b)*(-3 + 4 - 3))*(-b + 2*b + 4*b).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -109232.574 rounded to the nearest one thousand?\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*c - 760 = 28761 + 14393 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 13*f**5\/30 - 23*f**4\/24 + 25*f**2. Find the second derivative of j(m) wrt m.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.066 + -0.134. Let i = 21 + u. Let j be (-3825)\/(-165) + 6\/(-33). Which is the smallest value? (a) -1\/2 (b) -1\/4 (c) i (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-3)*(-45)\/(-30). Suppose x - 4 = -3*q, 4*u = 4*q + 12. Solve -3*s + 2*s = -4*o - 16, 2*s - 5*o - 23 = u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*u - 16 = 0, -2*l - 7 = u - 3. Let t = 122\/15 - 34\/5. Sort 1\/7, t, l in descending order.\nAnswer: t, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121365 divided by 155.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -18. Suppose i*n = 5*n + 8. Solve 6 = -n*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -5 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20063 + 2293563.87\nAnswer: 2273500.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059527 to seven decimal places.\nAnswer: -0.0000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*(-445)\/267?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:13 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 689640 divided by -4?\nAnswer: -172410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.07, -52.1, -13, -1\/5 in decreasing order.\nAnswer: 0.07, -1\/5, -4, -13, -52.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + 1.4. Let n = 4 + -4.18. Let y = n - -0.28. Which is the closest to y? (a) g (b) -2\/9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 39 = 3*y. Suppose -2*u + 854 = -y*d, 5*d + u = 4*d - 215. Let x = d - -401. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -0.35. Let r = 69180 + -485720\/7. Let b = -209 - r. What is the biggest value in b, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*h - 7*h + 817, d - 821 = -3*h. List the prime factors of h.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -719224626 rounded to the nearest 100000?\nAnswer: -719200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -721, -1395, -2081, -2785, -3513, -4271, -5065, -5901?\nAnswer: -6785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10) + (-2 - -1). Let x = -10 - -30. Let v = x + -17. Which is the closest to 0.1? (a) v (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 838633 or 9224948\/11?\nAnswer: 838633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -695*m + 170. Let x be w(26). Round x to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -26, 47 in decreasing order.\nAnswer: 47, 0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5667 - 3396. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96780, 193630, 290480?\n\"Answer: 96850*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 3:12 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.507 plus 0.2?\nAnswer: 46.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (641\/(-102) - 10\/12) + 7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84029446 a multiple of 778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 21 = 3*x + 47, 23*w + 24*w - 49*w = -6*x - 8 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*d**2 - 7*d**2 + 914 - 913)*(-3 + 6 - 4)*(-5 + 5 - 5*d) in the form s*d**3 + w*d + t*d**2 + x and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033 - 2760.4593?\nAnswer: -3793.4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178854*c**4 + 332013*c**2.\nAnswer: -4292496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7815 - -957. Does 51 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10352 divided by 3.\nAnswer: -10352\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2708, 5415, 8122, 10829, 13536, 16243?\nAnswer: 18950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(-1\/37)\/((v\/(v**(-7)*v))\/v*v**(1\/7)))**(-43) assuming v is positive.\nAnswer: v**(273953\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 211, 322, 433?\n\"Answer: 111*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 68486\/1269?\nAnswer: 68486\/1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15024 - 15026. Suppose 3*t - 4 = 5. Sort 4, t, -41, d in ascending order.\nAnswer: -41, d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13492, -26595, -48432, -79003, -118308, -166347?\nAnswer: -223120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -78 - (1 - 64)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.84384 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*3\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1148\/(-20) + 1)\/(-2 - 51\/(-30)). What is the greatest common factor of 611 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/12)\/4)\/(22\/6)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 11. Suppose -o = o + 2. Let v = 0 - o. Calculate the remainder when b(5) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1370, -17, -1, -6, -5, -4 in ascending order.\nAnswer: -1370, -17, -6, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4162454*o + 8324877*o - 4162439*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 111*l**2 - 158*l + 774. Let k be b(5). Calculate the highest common factor of 979 and k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**3 + 13*t**2 + 28*t - 28. Does 39 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-180) + (-4)\/58 + (2146209\/(-101790))\/113?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/644 and -44\/3.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-78)\/(-690) + (-1)\/5. Sort y, 2\/3, 0.5 in decreasing order.\nAnswer: 2\/3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267033*n**5 - 2319*n**2 + 2*n - 13 wrt n?\nAnswer: 16021980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*c = -182*c - 707 - 589. Solve -36*n + 31*n + c = 4*u, n + 3*u - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546647*d**2 + 593944*d?\nAnswer: 1093294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 180 = -6*h. Let x = -19 - h. Let j = -15 + x. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 - 4.24. Let v = b + 0.04. Let q = -251\/23 + 11. What is the nearest to -2\/9 in v, q, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -s. Suppose -s*m = -181 - 534. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 4*t - 1164 = -12*s, 2336 = -4*s + 4*t. Let y = 1072 + s. Is 81 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Suppose -3*j = -2*x - x - 252, -184 = -a*j - 2*x. Let v = -63 + j. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5597 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2212 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20331 (base 9) in base 2?\nAnswer: 11010001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221.558 - 0.558. Is -2\/5 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 85 = -m - 90, 0 = -5*c + 2*m - 46 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrkvvkrrn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6631.62 and 0.04?\nAnswer: -265.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 86 + 341 = 0. Let j = -61 - c. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*j + 21, 2*p + 3*j = -2*j + 27. Let w(q) be the first derivative of -q - q**2 - 3*q - p + 2*q. Find the first derivative of w(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675354 - 0.056?\nAnswer: 1675353.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - (20 - 92064\/4644)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302252.\nAnswer: 2, 3, 7, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6666 divide 858413379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Suppose 0 = -6*d + g*d + 8. Suppose 0*y = y + 4*z - 4, 5*z = d*y - 34. Solve -i - 4*f - 9 + 0 = 0, 3*i - y = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443197.249 rounded to the nearest 100?\nAnswer: 4443200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2\/5 - 6866*o - 138427068\/5 = 0.\nAnswer: -10691, -6474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*y - 1841 - 110*y + 1841)*(-3 + 3 + 3).\nAnswer: -477*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5*u**2\/2 + 1. Let j(f) = 2*f**2 + 0*f**2 + 8*f + 4*f - 12*f. Give j(p(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, -16, -151, -370, -673, -1060?\n\"Answer: -42*l**2 + 75*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9317351906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 1235, 2527, 3971, 5357, 6475, 7115, 7067?\nAnswer: 6121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261396 divided by 65349.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8654370 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -136*m + 675. Let i be d(5). Let f(c) = -c**2 - 9*c - 17. Determine f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/5)*b*b*b\/(b\/b**22)*(b**(2\/9))**(-9\/2) assuming b is positive.\nAnswer: b**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3 - (4 + 0)). Let k be g + 1 + -3 + 1. Let w be (-44)\/(-52) - k\/13. Put -5, w, 2 in ascending order.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/((-3)\/(-30)). Let w = -6 + o. Let p(i) = i**3 + i. Let t(s) = -s**3. Determine w*p(q) - 4*t(q).\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 - 1. Let c be (-4)\/(20\/9)*-10. Suppose -3*k - 4*v = k - 64, -5*v - c = -2*k. Suppose 0 = 2*u - k*u - 12. Determine q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11953, -12583, -13213?\nAnswer: -13843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 + 9)*(-2*w + 0*w + w) + 23*w + 62*w - 154*w - 2*w + 6*w - 2*w + (-4*w + 2*w + w)*(0 - 3 + 1) + w - 5 + 5 - 2*w + w + 2*w as u*w + g and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 - 4*q - 8. Let i(m) = m**3 - 18*m**2 + 2*m - 24. Calculate the least common multiple of b(6) and i(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/15 + 124*q**4\/15 - 242*q**3\/15 + 8*q**2 = 0. What is q?\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*n - 10, -4*o - 29 = -4*n - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 116*j - 183 + 11*j**2 - 12*j**2 + 63 = 0. Calculate j.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.03 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2*(0 - -1) - -42. Let p be (-338)\/(-8) - (-2)\/(-8). Factor g**3 + p - a.\nAnswer: g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 82, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 33*i - 300. Give a(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -3 + 6 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -0.518. Let z = 0.118 + q. Let u be ((-16)\/36*12)\/(-6 + 0). Sort 3, z, u in decreasing order.\nAnswer: 3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1888, 15098, 50988, 120910, 236216, 408258, 648388?\nAnswer: 967958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 67 = -l + 21*q + 16*q, -2*l + 0*l - 4 = -5*q for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791.\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 370455, 370435, 370417, 370401, 370387?\n\"Answer: v**2 - 23*v + 370477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -194067836 rounded to the nearest one hundred thousand?\nAnswer: -194100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 4070.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*t - 10*i + 4*i, 14*t + 44 - 4 = i - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 2 = -12*d. Which is the nearest to 0? (a) 2\/3 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:33 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 17*y**2 + 596*y. Let p = -4 - 6. Calculate the lowest common multiple of 16 and t(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*q + 2 = 0, -4*q + 9 = 1. Let w be (-5)\/y - (-2)\/4. Let h = w + -3\/2. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 + -4.85. Which is the second smallest value? (a) 0 (b) 0.01 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0*h\/h**(-1\/6)*(h*h**(1\/3))\/((((h\/h**(-6))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 26. Suppose 31*x - 26*x = -15. Let h be a(x). Suppose 2*n = 3*s - 9 + 29, -5*n = -5*s - 40. Solve n*r = 21 - 1, -3*i + 31 = h*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*(m*m**(-13)\/m)\/m*m*m*m)*m*m\/(((m**(-3\/11)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6656 + 5181602919?\nAnswer: 5181596263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let v = 138 + -70. Suppose 25 = -5*i - d + v, -3*i + 15 = -3*d. Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(4*7\/126*9). Suppose 3*g + 3 = 4*v, 2*v - 1 - 2 = 3*g. Put 0.4, 1\/2, v, d in descending order.\nAnswer: d, 1\/2, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 170 = 0. Suppose 3*k - p = k. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -17. Let d be (-2)\/4*(-2)\/(-4). Is d < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38316595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158.435 - -158. Let w = -38.45 - -38. Let y = w - i. What is y rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:27 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 3*b = 9*g, 12 = 3*b. Let m be ((-5)\/2*2)\/((-900)\/360). Solve m*n = -g*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265 + 297. Let x be -8*(-4)\/d - -3. Solve -x*u + 8*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*k. Suppose 0*x + 6 = -x. Let l be k\/12*8\/x. What is the smallest value in 1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25890 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + -1*sqrt(121)*-3))\/sqrt(11).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3018?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -42*c**3 - 15*c + 15. Let o(z) = -6*z**3 - 2*z + 2. Suppose 621*j = 17233 + 1397. Give j*o(v) - 4*g(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-327)\/(-218))*(-48)\/(-10)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/480 and 29\/228.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -4.04. Let u = -117 + 116.96. Let l = 4.92 + 0.08. Which is the second smallest value? (a) u (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36309\/312 + -115 + (1 - (2 + -1))\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 2. Let z be t(6). Suppose 45*p - 14 = 38*p. Suppose z = 4*a, -a - 285 - 7153 = -p*c. Round c to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5389 divide 573648272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8053 - 99.58889. Let c = -103.4 - i. What is c rounded to four decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 + 0 + 4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a year in months?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/1185 and 121\/14694.\nAnswer: 73470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 49. Let n(c) = -2. Let a(g) = -f(g) + 6*n(g). Give a(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:47 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 32*i**2 + 1680*i - 59. Determine k(60).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1 = 7. Let t be 2 + (1 - (-4)\/(-2)). What is the remainder when 3 is divided by t + (-1 + s)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 d, and 1 t when four letters picked without replacement from ddtetddegeddlte?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -528 + 3?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3814, -7688, -11562, -15436, -19310, -23184?\nAnswer: -27058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000110101000 + 1001?\nAnswer: 11001000110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111216442 to the power of 1\/2, to the nearest integer?\nAnswer: 10546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**2 - 12 - o + 0*o**2 + 14 in the form k + h*o**2 + l*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e568 (base 16) in base 8?\nAnswer: -762550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6375*k - 6404. Give z(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*x + 44 = 0, -3*x + 6 = -3*w + 45. Solve -2*c + 6*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 109 = 44*k - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -118047?\nAnswer: -118052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxnxxsxxxxbs. Give prob of sequence nxb.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51206335 (base 7) to base 2\nAnswer: -10000010010110001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654592 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000714359 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -106. Let t = u + -4. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 12. Let g be (-194)\/(-18) + (-4)\/(-18). Let f = z + g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.785*40.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/112 - (-95)\/(-360)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 2 - y + 5*y**2 + 127*y**3 - 4*y**2 - 128*y**3 in the form a*y**2 + h*y**3 + r + l*y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 29. Suppose b*f - 24 = 12. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 3*y**2 - 3*y**2 + (3*y + 0*y + 2*y)*(-4 + 4 + 4*y) + 217*y - 217*y + 16*y**2.\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 12. Suppose 5*v = -0*p + 2*p + j, 4*v - 15 = -p. Let -2\/7*f - 4\/7*f**2 + 2\/7*f**4 + 2\/7 + 4\/7*f**v - 2\/7*f**5 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10 - 9 - 21) + 21273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4 and (-595)\/(-50) + (0 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from tgwithigr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53832834 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(-4*l**3 + 4*l**3 + 2*l**4) + 7 - 2*l**4 - 7 + (l**3 + l**2 - l**2)*(-365 + 365 - 64*l).\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.985 minus 1?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/(6\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 54. Let c = 29 - s. Let f be (-4)\/6 - (-2)\/(-2). What is the biggest value in f, -2, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 61, 86, 107, 124, 137, 146?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1191.2 + -1191. Let z = -6 + 12. Let f = z + -7. What is the smallest value in b, f, -0.07, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21265 = 3*c + 3*x + 21274, 0 = 3*c - x + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 35*c**2. Let d(x) = x. Calculate d(t(a)).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8*h - 1 + 0 in the form r*h + d and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 6*t + 4. Let b be c(7). Let h be (-40)\/b*(-1632)\/(-80). What is the greatest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4613500 (base 9) to base 4\nAnswer: -21133231323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3169 is divided by 171.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*k + 4*k. Let x(i) = -i**2 + 3*i + 5. Let c be x(5). Let a be (c\/(-3))\/(2\/6). What is the second biggest value in k, a, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5048*f - 87209. Calculate g(17).\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -323088300 to the nearest one million.\nAnswer: -323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167850 and 21?\nAnswer: 1174950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021006 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111101000101111101111000 + 11?\nAnswer: 111111101000101111101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4860 divided by 810\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 39286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzml when four letters picked without replacement from {m: 1, r: 6, q: 1, l: 5, u: 3, z: 1}?\nAnswer: 1\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/31)\/((-96)\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhddhhhds. Give prob of picking 3 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 6:20 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*c**4 - 2*c**2*f - 2*c*f - 3*f + 69 wrt c?\nAnswer: -852*c**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20203598 * 0.5.\nAnswer: -10101799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50712052.069 and 0.439?\nAnswer: 50712052.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4961 and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*c = -423*c + 46725309. Suppose -27720004 = -5*u + z, 5*z = u - c - 352319. Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.04 + 24.8. Let r = 5.76 - z. Which is the closest to r? (a) -1 (b) -0.4 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-2)\/(3\/(-3)). Suppose -j + i = k - 1, -6 = 5*k - 4*j. Suppose -2*c - 21 = 2*v - 5, -4*v = c + 11. Sort c, 5, k in descending order.\nAnswer: 5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 5156\nAnswer: 4\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344090 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 18156. Let b(o) = -3*o. What is b(q(w))?\nAnswer: 3*w - 54468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*b = 12, 2*b = -q + 4*q + 6. Let g be 0 - (-1 - 6\/2). Let k(j) = 5 + 2 - g - j. What is k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 15. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:43 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apx when three letters picked without replacement from {a: 3, w: 3, p: 1, x: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 10*p**2 + 8*p + 6. Does 24 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -176, 2, -27, -1, -30 in increasing order.\nAnswer: -176, -30, -27, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3008, -4039, -1140, 7651, 24296, 50757?\n\"Answer: 327*u**3 + 3*u**2 - 3329*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 14 + (-2 + 2 - 1)*(-3 - 2 + 7) + 2 - 1 + 0)*(4 - 4 - l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 4\/3 (b) -4 (c) -0.1 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 670*q**2 + 2654*q - 1986 = 0. What is q?\nAnswer: 1, 3, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/450218 and -83\/18.\nAnswer: 4051962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/369 and -39\/68921.\nAnswer: 620289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 81. Let z be n(-21). Find the second derivative of 13*b**z - 23*b**3 - 13*b**3 + 47*b wrt b.\nAnswer: -138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0 + 0)*(4 - 6 + 3) - 1 + 1 + t + 5*t + 5*t - 6*t - 3 + t + 3 + 2*t - 4 - 7 + 4.\nAnswer: 9*t - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/8 + 2*j**2. Let p(g) = -12*g**2. Give p(i(k)).\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 813 - 673 = 0. Calculate the remainder when 68 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30810 + 78431 = 26*w - 8617. Calculate the remainder when w is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9 + q + 3 + 2. Does 13 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32387013.\nAnswer: 3, 23, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476422776 divided by -158807592.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/((-90)\/(-96)*8\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from tdtcdfym.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = a - 16, -a = -2*a - 2*w - 12. List the prime factors of a\/(-5)*-58*10\/(-8).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 4*n + 4*n + 2494*n**2 + 11.\nAnswer: 2494*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -4, -26, 0, -266, -3, 4 in descending order.\nAnswer: 4, 0, -3, -4, -26, -54, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.920335 weeks to minutes.\nAnswer: 9276.9768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9299562 to the power of 1\/2, to the nearest integer?\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7169 to 2 dps.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y + 2. Let j = 8 + -6. Let o be (1\/j)\/(4\/16). Let u be p(o). Let k(l) = -l**2 - 5*l + 2. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -838, 18 in decreasing order.\nAnswer: 18, -5, -838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 15*v - 40. Let c be m(-11). Let p = -11 - -23. Solve p = -c*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/360 + s**3\/3 - 3*s**2. Let v(o) be the first derivative of n(o). Let d(a) = 3*a**2. What is v(d(j))?\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459 = 5*q - 267 + 271. Calculate the highest common factor of q and 1113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**3 - 11*q**2 - 651*q + 3321. Determine c(5).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 309*n**3 + 2580*n**2 - 3948*n = 0. Calculate n.\nAnswer: 0, 2, 7, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(1*2*sqrt(228) + sqrt(228)))\/((sqrt(96) - (sqrt(96) - 5*(sqrt(96) - (-1*sqrt(96) - sqrt(96)))))\/sqrt(8)).\nAnswer: -4*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -222.65 times 5\nAnswer: -1113.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 4\/7*t**2 - 2*t - 8\/21*t**3 + 0 - 1\/70*t**5 + 5\/42*t**4. Find l, given that w(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 2, m: 6, k: 3}. Give prob of picking 2 m, 1 f, and 1 h.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mykmggjry. Give prob of sequence rgy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9*(-418)\/855)\/(2\/5))\/(165\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 - 26 = 0. Let j(u) = u**2 - 3*u - 7. Is 11 a factor of j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5368.1054 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1801 divided by 6\nAnswer: 1801\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -222124?\nAnswer: 222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-4338.\nAnswer: 2602.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110111 (base 2) in base 14?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -8.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - (-3 + -8)) + (-262387)\/(-24). Let k = 10941 - c. Find the common denominator of k and -65\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20200925.499567 + 20200308.5. Let r = 617 + j. Round r to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(570\/152)*(7\/130)\/(-7)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 3, k: 2, w: 5, u: 2}. Give prob of sequence wkw.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1852830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.328, 0.1, -6\/7, 0.5, 65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*d = 3*t + 23, 0 = -2*t - d + 19. Let j(c) = -14*c + 2. Let q be j(-3). Suppose -q = -t*p + 4*p. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 41558*z**2 - 41559*z**2 - z + 1300 - z to d*z**2 + u + c*z and give u.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206846 is divided by 808?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 9.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**3*r*z**3 - 53867*i**3*r*z**2 + 333*i**3*r*z + 4*i**3*r + i*r*z + i*r wrt z?\nAnswer: -42*i**3*r*z - 107734*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 10102302221?\nAnswer: 10102302132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11182515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129219456, -129219457, -129219458, -129219459?\nAnswer: -129219460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c + j - 289, 0 = 5*c + 2*j - 293. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 231, 429, 697, 1041, 1467, 1981, 2589?\nAnswer: 3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 160*f**2 - 26*f. Let v(x) = -32*x**2 + 5*x. Let k be 9\/(45\/20) + -7. Let m(c) = k*n(c) - 16*v(c). Find the second derivative of m(z) wrt z.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1 (b) -3\/100 (c) 1\/27 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -6.\nAnswer: -6, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1821 divided by -6\nAnswer: 607\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-10))\/(210\/140))\/(7\/(-665))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = 2*b, -3*r = -0*b + 3*b - 3. Let t(m) = -m**3 - 29*m + r + 0 - 1 - 3*m**2 + 28*m. Let a be t(-3). Solve -a = -2*o + i, -3*o = i - 0 - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-12\/7)\/p)**(-20))**(-2\/5) assuming p is positive.\nAnswer: p**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/16)\/(2\/8). Let l(f) = -f**2 - 5*f - 3. Let o be l(t). What is the closest to 2 in 2\/3, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 84.01. Let h = o + 0.99. Let v = -175 + 173. What is the third biggest value in 4, 2, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose 3*n + z + 46 = 0, -4*n - 6*z + h*z - 64 = 0. Let c = 27 + n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4 = -3*d, 5*f + 2*d + 86 = 105 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -153, -229, -305, -381, -457?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*a**4\/5 + 3079*a**3\/5 - 54*a**2\/5.\nAnswer: -a**2*(a - 54)*(57*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*i**2 - 31*i**2 - 50*i**2 + (1 - 1 + 2*i)*(0*i + 2*i - 3*i))*(i**2 + i**2 + 2*i**2) as z*i**4 + g + w*i**3 + k*i + t*i**2 and give z.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let t(g) be the third derivative of 71*g**4\/24 + 24*g**2. Give t(h(m)).\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-4)\/80). Suppose 2*a + p = 7*a. Let y = 22 - 22. Solve -a*z - z = y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -33. Let w be 3 + s\/(10\/18). Let j be 4\/w*(-1)\/2. Sort -4, j, 0.1 in increasing order.\nAnswer: -4, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -9 - (-15)\/(-3))*122\/183\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 19. Let q be (0 - 1)\/((2\/(-2))\/h). Suppose -222 - q = -4*y. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d11 + 5931?\nAnswer: 4a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867041 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 28*c - 5*j = 15, 2*c + 18 = -6*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10730 is divided by 1502?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 + 61 = -13*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(252) + 1 + 5 + sqrt(252) + sqrt(252)) - (sqrt(112) - sqrt(7) - (-1 + sqrt(7)*-2)))**2.\nAnswer: 8362*sqrt(7) + 90752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3300, -6554, -9796, -13026, -16244?\n\"Answer: 6*u**2 - 3272*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 3, 2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3*((-25428)\/(-18) - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/9 - -10 - (-3264)\/(-204)) + (-63)\/(-1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 243497 and 8.4.\nAnswer: 243505.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 11) to base 12\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 559b4 + 29b?\nAnswer: 56093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k**4 - 657309*k**3 + 2910342*k**2 + 5820984*k + 2253312 = 0. What is k?\nAnswer: -1, -4\/7, 6, 31296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from vueqeqeeeevevv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 - 8*n**2 - 36*n + 5. Let v(x) = x**3 - x**2 - x + 1. Let h(w) = -k(w) + 5*v(w). What is the second derivative of h(s) wrt s?\nAnswer: 18*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 34*k**2 - 16*k - 8. Let d be l(-17). Let g = d - 262. Solve -9 + 1 = -g*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 261*b**2 + 53 - 7*b**3 + 13*b - 245*b**2 + 9*b**3. Let v be r(-17). Round v to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 495\/(-27)*(4 + -1). Let c(p) = -65*p**3 + p. Let s be c(-1). Let k = s + t. Calculate the remainder when 21 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*v**2*w**3 - 3991*v*w**3 - w**3 - w + 26752 wrt v.\nAnswer: -12*v*w**3 - 3991*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 - u**2 - u + 1. What is j(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1313, 1397, 1565, 1841, 2249, 2813?\n\"Answer: 4*x**3 + 18*x**2 + 2*x + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + -21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 2*t**2 - 5*t - 4. Let i(v) = v**3 - v**2 - v. Let u(g) = -4*i(g) + m(g). Find the second derivative of u(x) wrt x.\nAnswer: -12*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1482?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -206, -818, -1822, -3206, -4958, -7066, -9518, -12302?\n\"Answer: 2*a**3 - 208*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 5, y: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10884.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 63519 = w, 5*w - 8*w = i - 190509. Is w a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.93914 millilitres to litres.\nAnswer: 0.08293914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1386 + 85*f**2 - 11*f**2 - 641 - 745.\nAnswer: 74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8105520 divided by 270184?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -9*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 10, -8, 5, 2.\nAnswer: -10, -8, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bd8 + 1?\nAnswer: -6bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let o be 6*(-3)\/(-6) - d. Solve 2*z - 4*l - 6 = -14, 5*z - o = 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 32*a + 43 + 26 - 18*a + a**2 in the form s*a**2 + n + u*a and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -7\/4 (c) 2.6 (d) 5 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 4*r - 206. Let x = r - 73. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12792 by 12792.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203 and 106.151.\nAnswer: -21548.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 89\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8938, -8932, -8922, -8908, -8890, -8868, -8842?\nAnswer: -8812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, 5, -508, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1911 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 26\/7 + ((-92)\/(-28) - 3). What is the closest to i in -4, 30, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-3) + (-4 - -2). Put g, 0.5, 0.3 in increasing order.\nAnswer: 0.3, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2563 is divided by 112.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-13)\/p*p))**(-27)*(p*p*p\/p**(-1\/4)*p*p)\/(p**2\/p) assuming p is positive.\nAnswer: p**(-1495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30\/25*1515*(-2 + 15\/6) and 6?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:28 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205 is divided by 1590?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 27 - 29 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23715\/425*(-2)\/(-24)*14\/(-6). Which is bigger: -12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + y - 4*y + 0*y - y**2 + 8. Let v be s(7). What is the units digit of (-9)\/v - (-25)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4272, -4269, -4260, -4245?\n\"Answer: 3*w**2 - 6*w - 4269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 9)*(-6)\/(-276)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13014895?\nAnswer: 5, 23, 113173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429206691?\nAnswer: 7, 13, 241, 201961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 3*p**8\/560 - 2*p**7\/105 + 13*p**6\/600 - p**5\/150 - 16*p**2 + 6*p. Factor u(w).\nAnswer: w**2*(w - 1)**2*(9*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = 0, -3*z + 3 = -4*t - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17398 + -17393. What is the third smallest value in u, 9, -1, -11, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p - 16 = 0. Suppose -p*b + 10 = b. Sort b, -1, 3 in descending order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278\/311 < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25898 (base 10) in base 6?\nAnswer: 315522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 277 = f - 70, 5*l - 768 = 4*f. Let k = -102 - f. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 7*i**2 - 5*i - 2. Let x be o(6). Solve x*c + 6 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -17, 42464 in decreasing order.\nAnswer: 42464, 1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 + k**2 + 4*k - 4. Suppose 5180*s - 5167*s - 13 = 0. Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.097.\nAnswer: 0.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 0.58. Let q = -1.4 - o. Which is the closest to -1? (a) q (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9363963949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + f + 7 = -4*f, 5*n - 14 = 4*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*u + 20, 2*u = 6*u + 3*o - 12. Suppose u = -3*x - 4*x + 553. Let g = -77 + x. Solve 0 = -3*k + 4*s + 19, -g*k - s - s - 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 1. Let k(z) = 5 - 3 + 33*z**2 - 1 + 20. Let t(r) = -12*b(r) + k(r). Let p = 748 - 757. Let m(c) = -5*c**2 - 2. Calculate p*m(g) - 2*t(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*h + 56 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 13, -0.9, -29, -10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 2*p - p + (3*p - 2*p + p)*(1 + 0 - 2) - 3 + 3 + p + 2*p + 0 + 0 - 44990*p - 6640 + 13298 - 6658 to d + w*p and give w.\nAnswer: -44991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 834*c**3*n*z - 2*c**3 - 658*c**2*z**2 + 4*c**2 + 3102*c*n*z**2 + 2*c*n + 11*c*z + 11 wrt n.\nAnswer: 834*c**3*z + 3102*c*z**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10448, -10318, -10024, -9566, -8944, -8158, -7208?\nAnswer: -6094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 1, x: 9}. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*k + 840 = -372*k. Calculate the remainder when 407 is divided by k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 6 - 33. What is the remainder when 10 + 9\/(-11)*(-44220)\/1206 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10137 and 183179?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022527 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a76d - 47?\nAnswer: 5a726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 583 + -562. Suppose m*b - 42 = 7*b. Solve 0 = -3*p - 2*p + b*w + 4, -p - 2*w = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*g**5 + g**2 - 74*g + 1.\nAnswer: 740*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:57 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 9*u**2 - 6*u + 16.\nAnswer: -(u - 1)*(u + 2)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.501581 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 48. Let f be y(7). Let p be (-8)\/10 - f\/((-10)\/8). Solve 3*b + p*b = -5*c + 12, -4*c + 14 = -2*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-41 + (-7350)\/(-168)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - -1) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -321, -319, -317?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101100110100 (base 2) to base 16.\nAnswer: -eb34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -13964646\nAnswer: 1\/13964646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -72, 70, 338, 774?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -56520564622.\nAnswer: -56520564621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -2*x - 5*j, 265 + 48 = 5*x - j. Let v(w) = 2 + 1 - w**2 - 6*w - 8*w + 3*w. What is the remainder when x is divided by v(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(7) + 2 - sqrt(7)))**2 - sqrt(42)\/(2*sqrt(6)) - (2 + ((sqrt(7) + sqrt(63)\/sqrt(9))*-3)**2).\nAnswer: -254 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.13\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 3?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 9864210*n + 4865131946205.\nAnswer: 5*(n - 986421)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 4*x + 7. Suppose 0 = 3*y + 3*y + 24. Let p(w) = w**2 + 4*w + 6. Let f(u) = y*o(u) + 5*p(u). Let n(b) = b. Calculate -f(a) + 4*n(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1048455, -2096844, -3145233, -4193622, -5242011?\n\"Answer: -1048389*y - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2402 is divided by 628?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*j - 22, -4*t + 26 = 5*j + 3. Let l = t - 2. Let h = -0.06 + -0.94. Which is the closest to h? (a) l (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**3\/7 + 5970*l**2\/7 + 288552*l\/7 - 294528\/7 = 0 for l.\nAnswer: -944, -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.3 - 34.8. Let q = h - 54.4. Which is the nearest to 1\/3? (a) -1 (b) -3\/5 (c) q (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-1\/2)))**47\/(l*l**2*l**(-3)))**29 assuming l is positive.\nAnswer: l**(-1363\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 15546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-10)*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1637, 1652, 1657, 1646, 1613, 1552, 1457?\n\"Answer: -l**3 + l**2 + 19*l + 1618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1503 - -7729. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (128\/(-6))\/(-4) - 4. What is the closest to -0.1 in o, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/12 - g**3\/3 + g**2\/2 + 5*g. Let z be n(3). Solve 0 = -0*f - z*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9406076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 164*x - 1133. Calculate r(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 2*j + 3*j)*(-2 - 3*j + 2) + (-13 + 1 - 4)*(-2*j**2 + 3*j - 3*j) + 5*j**2 - 3*j**2 + 0*j**2.\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -209\/910 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34109, -34112, -34115, -34118, -34121, -34124?\n\"Answer: -3*l - 34106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Let q be ((-6)\/o - -2)*6. Suppose -3*b = 3*p + 12, p = -5*b + q - 27. Let w(r) = r**3 + 4*r**2 - 7*r - 2. Give w(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*c = 3*j + 15, 4*j + 20 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -16. Let u be 21\/5 + 18\/(-15). Suppose u*b = 5*k - 18, -4*k + 2*b + 0*b = -v. Solve 0 = j - k + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452 + -447. Suppose w*z + 4*b = 8*z - 817, 3*z - 3*b - 813 = 0. Which is greater: 535\/2 or z?\nAnswer: 535\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(2 - (-25)\/(-12)). Suppose 3*u - n = 26, -4*u + d*n + 34 = u. Let s be (u\/6)\/(-2 - (-26)\/12). What is the highest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6280.9*6.9\nAnswer: 43338.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265*n + 75*n + 76*n + 126 + 72*n with respect to n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - q**2 + 0*q**2 - 42 + (-1 - 2*q + 1)*(q - 3*q + 0*q) + 3*q**2 + 3*q**2 - 4*q**2 + 3*q**2 + 3*q**2 + 22*q**2 + q**2 - 2*q**2 - q**2.\nAnswer: 31*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, 3, 97?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-18) + (-316)\/(-6). Let w = g + -34. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/1)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d + 4*d - 8*d.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 6283*x**3 - 50313*x**2 - 94365*x.\nAnswer: x*(x - 6291)*(x + 3)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104734145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -69414345 - 775?\nAnswer: -69415120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/17 - ((-13)\/(-24752)*24)\/((-3)\/(-82))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 156, 11, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = -2*q. Suppose 5*z = 5*r + 40, 0 = q*z + 3*z + r - 16. What is the second derivative of -5*n - 55*n**4 + 25*n**4 + 25*n**z wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2937 and 88824759?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/2)\/(-40))\/((-1)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133*w + 7892 - 7892)*(w**2 + 0*w**2 - 2*w**2) as t*w**3 + l + u*w**2 + j*w and give t.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o + 4*o**5 - 9*o + (4*o**5 - 2*o**5 + o**5)*(1 + 1 - 4) + 60*o**5 - 83*o**5 + 63*o**5.\nAnswer: 38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:25 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - (-22)\/3. Let w be ((-20)\/12 - -2)*12. Suppose 29 - 225 = -w*h. What is the highest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-50))\/(24\/(-120))*35\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 - 3*i - 11\/6*i**3 + 9\/2*i**2. Is v(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(1 + 6\/9). Let w = 7 + u. Suppose 6*d - w*d + 2*a = 0, a = 0. Solve d = 5*f - f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007833 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 17 - (-2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 3 + 2*a + 3 + a**3 + 4*a**2. Let m(g) = 2*g**3 + 8*g**2 + 5*g + 11. Let q(t) = -5*j(t) + 3*m(t). What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 121.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = -4. Suppose 2*m - 16 = -4*h, 3*h + 2*m - 4*m = -x. Suppose t = h*t. Is 15 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/5 - 30*f**4 - 98*f**3\/5 + 6054*f**2 - 26280*f = 0.\nAnswer: -15, 0, 5, 12, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 + 118 = 0. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.4 times 2571?\nAnswer: 142433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10252 and 90404?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 14*d - z + 10, 4*d - 24 = -5*z. Let o(k) = k - 1. Let y(t) = 4*t - 17. Give d*y(h) - 5*o(h).\nAnswer: -h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459449 is divided by 59.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 19*f**2 + 15*f - 20. Is t(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22836 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39394 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 623 and 3649?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49 + 53)*(1 + (-24774)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Let j(o) = 955514288*o**2. Give j(v(n)).\nAnswer: 3822057152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 88, 132, 80, -116, -504, -1132, -2048, -3300?\n\"Answer: -8*z**3 + 100*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 10. What is the hundreds digit of (y - (-123)\/2)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81658.826 to the nearest 10.\nAnswer: 81660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01835276 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*s = -933 + 958, -2*u = 6*s - 48 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:55 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6084 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 7*j - 5*j + (0 - 2 + 0)*(j + j - 4*j))*(0*j - 1 + 3*j - 4*j) as k*j + l + u*j**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2 + 2*v - 1. Let w(q) = -q**2. Let o(i) = r(i) + 6*w(i). Suppose 0 = p - 0*p - 2. What is o(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 98935, 98768, 98601?\n\"Answer: -167*k + 99102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 82, 289, 704, 1399, 2446, 3917?\nAnswer: 5884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/24 + 4*r**3\/3 - 420*r**2. Determine m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 11*y**2 + 10*y - 1. Let o be v(-12). Let s = o + 2. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5415 and -32\/27.\nAnswer: 48735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29354*x**4 - 54 - 9 + 2*x - 29369*x**4 wrt x?\nAnswer: -60*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**23)**(-30)\/(f*(f\/((f**(-3\/10)\/f)\/f))\/f*f)**(-3\/25) assuming f is positive.\nAnswer: f**(-172371\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.6. Let z = 10 + -14. Let r = -187\/310 + 25\/62. What is the third biggest value in z, t, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5147.895l?\nAnswer: 5147895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 603303 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9*x*x*x**(-2\/7))**(-40) assuming x is positive.\nAnswer: x**(-3000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143533774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-25) + (-3)\/(-5). Suppose -3*o + 4 - 22 = p. Let z(l) = -4*l - 2. What is the remainder when z(o) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-18)\/(-8))*2202\/(-45508).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:12 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 404*y**2 + 6*y - 4. Suppose -a - 5*q + 6 = 0, 5*q - 5 + 2 = 2*a. Is p(a) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.99 + -0.01. Let n(m) be the second derivative of -11*m**3\/6 + 133*m**2\/2 - 8*m + 2. Let p be n(12). What is the closest to -2\/5 in p, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:29 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - j. Let p(w) = -3*w**3 - 4*w**2 + 2*w - 2. Determine -a(f) - p(f).\nAnswer: 2*f**3 + 5*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(612) + 1.\nAnswer: -48*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64198.11 litres in millilitres?\nAnswer: 64198110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.302um in millimeters?\nAnswer: 0.322302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -57*j - 31. Is x(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 169592 and 8.\nAnswer: 1356736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f - 1\/2*f**2 - 1\/2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 2*v**2 + 0*v**2 + (v + v - 4*v)*(3*v - v - v) - 1 + 1 + v**2 - v**2 + 2*v**2 - v + 2*v.\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 7511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 894 + -892. What is the second derivative of -28*m**2 + 217*m + 10*m**2 - 9*m**2 - 29*m**2 + 0*m**k wrt m?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70949523 + -369.369.\nAnswer: 70949153.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(448)*-1*-3 + sqrt(448))*2)**2 + 2.\nAnswer: 172034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 0*d**2 + 38*d + 3*d**2.\nAnswer: 2*d**2 + 38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -0.11283313\nAnswer: 0.51283313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + 6*x + 3. Let s be r(5). Let h(l) be the second derivative of l**4\/4 - 11*l**3\/6 - l**2\/2 - l. Is h(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 8*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 9. Calculate the greatest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:20 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 5)*(-1)\/3. Let j = -303 - -309. Let c be (18\/j)\/(-3)*-5. Solve 5*p = -5*w - 45, -u*w + c*p - 5 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1007233, 1007234, 1007235, 1007236?\n\"Answer: w + 1007232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4747 divided by -23?\nAnswer: 4747\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934 = -25*u - 1425 + 634 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3235669*b**2 - 386994*b - 3 wrt b.\nAnswer: 6471338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or -607566\/3427?\nAnswer: -607566\/3427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-3)\/246). Let k = -5 + b. Suppose -i = -5*r - 27, -2*i + 5*r + 44 = 5. Calculate the highest common divisor of i and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 + 3 = 0. Let q = 4 - p. Suppose -l = -2*l + q, -2*l = m - 6. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 3 + 5*u - 16*u + 8 as h + m*u and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -850, -18 in descending order.\nAnswer: 16, -18, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a - 112. Determine s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5144 - -5168. Let i = -10 - -14. Find the first derivative of -i*t**4 - c - 4*t**4 + 13*t**4 wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1)\/sqrt(10) - (sqrt(198)\/sqrt(9))\/sqrt(11).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1033 + -183875\/178. Let n = r + 893\/534. Let y = -811\/102 - -47\/6. What is the third biggest value in y, n, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160 divided by 228.\nAnswer: 290\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592423957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppjj when four letters picked without replacement from jppjp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-46 - -17) - 15 - 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -24, -63, -118, -195, -300?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 100, 159, 218, 277, 336?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 6*n + 24.\nAnswer: -3*(n - 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30968475?\nAnswer: 3, 5, 17, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(1 + sqrt(19)*3).\nAnswer: -72*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let c(v) = -3*v - 3. Let x(w) = -c(w) + 2*j(w). Let u(g) = 1. Let b(m) = 4*m + 12. Let h(z) = -3*b(z) + 24*u(z). Give 2*h(d) + 22*x(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t. Suppose -23*f = -f. Solve -3*c = -9, f = -t*p - 4*p + 5*c - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -3*j**5\/20 - 295*j**4\/6 - 1667*j**2 - 3917*j - 2. What is the first derivative of c(g) wrt g?\nAnswer: -9*g**2 - 1180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 3*j**2 + 2*j + 2\/3*j**3 + 0 + 1\/12*j**4. Is 11 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1.5, 5, 0.2, -17732.8.\nAnswer: -17732.8, -5, 0.2, 1.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -18*t + 43. Let n be (648\/15)\/6*t. What is the first derivative of n*u**4 + 3 - 2 - 8 + 1 wrt u?\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 1059*v - 7308. Calculate l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*t = 2*t + 4, 0 = j + 2*t + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*z**4\/3 - 370*z**3\/3 + 269*z**2\/3 + 160*z\/3 - 28 = 0. What is z?\nAnswer: -3\/5, 2\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - -240. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 0*x - 4 + 4*x**2 + x + x**2. Let p be (-21)\/(3 + -6) - 2. Let q(v) = -9*v**2 - 2*v + 7. Give p*c(w) + 3*q(w).\nAnswer: -2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 236 + 272 - 768 - 3*r + 236 + 0*r.\nAnswer: -r - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6901.832 decades to years.\nAnswer: 69018.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - 3*y)*(-111 + 21 + 59).\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 12. Let g be n(12). Let h be ((-11)\/(-1))\/((-3)\/(-57)). Suppose -3*x + h - 38 = g. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q**2 + 12*q - 14\/3*q**3 - 43. Find the first derivative of m(l) wrt l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 2 + 5795*a**2 - 2897*a**2 - 2898*a**2 - 1315*a**3.\nAnswer: -1315*a**3 + 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6716\/3264549 - -11\/2517. Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**3 + 2*i**2 + 2*i. Calculate y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201072476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(468)*-5 + 3 + -2 + 0 + sqrt(468)*4 + -3)**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 = -8*s + 940. Let x = s + 9. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*t**2 + t - t - 349*t**2 + 164*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 29 = 41 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 164?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdzd when four letters picked without replacement from zzdzzzzzzzzzzzzzzzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 6425264.\nAnswer: 7\/3212632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/30 + -13\/60. Let f = 0 + -0.1. Let v = 0.1 + f. What is the nearest to v in -2\/21, a, 0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -3, -1, 4\/9 in increasing order.\nAnswer: -3, -1, -2\/5, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11729432 less than or equal to 11729434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 283*s**3 + 2 + 157*s**2 - 286*s**3 - 161*s**2 as c*s**3 + i*s + t + v*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-144) + 3\/((-27)\/79). Is -2 + 6948\/44 + w\/(-99) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from nlnlrrnnrr?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8479 (base 10) in base 16?\nAnswer: -211f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620 + 37*d - 1229 + 622.\nAnswer: 37*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 2*i - 7, -3*z + 27 = -3*i. Which is the nearest to 0? (a) i (b) -5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -14, 88\/159?\nAnswer: 88\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74095165.\nAnswer: 5, 233, 63601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 140617739 less than 0.01?\nAnswer: -140617738.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1455014*d**3*i**3 + 2645149*d**3 + 2*d*i**3 wrt i.\nAnswer: 4365042*d**3*i**2 + 6*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.334 - -0.166. Let y = -1 - -2. Which is the closest to -0.4? (a) j (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66054.4ml to litres.\nAnswer: 66.0544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1843?\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -627c9 (base 14) to base 5.\nAnswer: -30100113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-10))\/(-3*2\/30). Suppose w*i - 42 = 4*u + 106, 0 = 4*i + 5*u - 121. Calculate the highest common divisor of i and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 901*g - 490*g - 488*g + 3.\nAnswer: -77*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(1160 + -7 + 1). Suppose 2098 = -8*u + q. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) - (sqrt(136) + -3*sqrt(136)))*-4)\/sqrt(8) + 0.\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*q + 20, -4*q = s - 14 - 5. Suppose 0 = 4*r - q*m - 20, 2*r - 5*m - 2 = 5. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135914 - 135913.9350027. Let v = b + -0.065. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 4014 + 1208. Suppose 5*o + p = 1363. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubu when four letters picked without replacement from {b: 3, u: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66953213 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + j + 5 = 0, -5*a - 3*j + 3 = -2*a. Suppose a*d + 10 = 3*d. Calculate the lowest common multiple of ((-104)\/(-20))\/((-2)\/(-10)) and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 9*w**2 + 11*w + 6. Let b be g(-10). List the prime factors of 1*(b - -3) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r + 5. Let a be x(11). Let f = a + -74. Calculate the remainder when 321 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 7*t - 494 = 0. Let c be ((-20)\/(-250))\/((-2)\/(-10)). Is c equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-2 - 2 + 2)*((3*a - a - 4*a)*(2 - 5 + 1) - 5*a + 5*a + 3*a + a - 5*a - 2*a + 2*a - 1 + 1).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - (-3 - (36 + -40))*(-6)\/(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002577931959 rounded to seven decimal places?\nAnswer: 0.0000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1196 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + g**2)*(1 + 1 - 6)*(0 - 7 - 1)*(3*g - g + 4*g).\nAnswer: -192*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 272 (c) -10 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5690 + 350 = 10*d. Let u = -2\/171751 + 2385621436\/3950273. Let f = d - u. Put -0.5, f, -3\/5 in ascending order.\nAnswer: -3\/5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-5 + 1 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-60))\/(11\/192813). Let a = m - 2922. What is the common denominator of a and -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 times -13?\nAnswer: -61.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 w when four letters picked without replacement from {w: 3, x: 1, j: 4, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 38994?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -2578288.\nAnswer: -2578271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/51 in 4\/5, 3, 17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 12.5. Let j = k + 3.8. Which is the third biggest value? (a) -5 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 36) + (-204)\/27.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31130 (base 6) to base 14\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 + 5*w + 17. Let o be r(-3). Let n = -45 + o. Suppose -n = -5*x + 1. Solve -x*l - 12 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at most 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -2. Let t = p + -0.64. Is -2\/5 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*v = -7 - 12, 0 = -2*i + 4*v + 26. Let q(d) be the second derivative of -1\/2*d**2 - 1\/6*d**i - d + 0. Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-16)\/12 - -1). Solve 2*i - 4*r + 10 = 0, 20 = -i - y*i - 4*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -1863747 - 99966. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 - -4.3. Let l = -1.1 + 1.3. What is the closest to -1 in -0.1, l, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3335 and 1288345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4 and 23\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101002 (base 3) to base 11.\nAnswer: 46056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4\/7 - 240*u**3\/7 - 2808*u**2\/7 + 23760*u\/7 - 39204\/7 = 0 for u.\nAnswer: -33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2 + 5*q + 2*q - 2*q - 2*q. Let o(d) = -d - d**2 + 5*d + 0*d + 3. What is -4*o(z) + 5*t(z)?\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 3*v - 14, 4*v - 10 = -2*q. Suppose -3*z - 4 = -q. Suppose r + 3*i = 92, z*r = 6*r + 4*i - 271. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -153 and -157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-12) - (-11 + (10 - 6))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:04 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 210 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796937?\nAnswer: 796937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 45370?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 211?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (347*k**2 - 20*k**3 - 347*k**2)*(6 - k - 6) to h*k**3 + t*k + q*k**4 + g + p*k**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Let h(i) be the third derivative of 1\/24*i**4 + 8*i**2 + 0 - 1\/6*i**3 + 0*i. What is h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.1 - 482.1. Let j = -507.4 - x. Round j to zero decimal places.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1649 + -660. List the prime factors of y.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 6 = -2*d. Let i be (-8)\/d*(-15)\/(-4). What is the units digit of (-114)\/i - 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 3 (c) -1 (d) -1\/242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2 = -4*v - 1, -15 = -5*k - 5*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(112) + 1 - 2*((-2 + sqrt(112))**2 + sqrt(112))) + (5 + (sqrt(112)*-1 + sqrt(112))*2 + 4)**2)*2.\nAnswer: -292 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 766567139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 122*i**2 + i. List the prime factors of u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/12 + (-8)\/48 - -4. Solve 0*i + s = -5*i - 17, 0 = 5*i + l*s + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10020579*f**3*i**3*x**3 + 136*f**3*i**2 + f**3*x - 74621*f**2*i**2*x**3 wrt i?\nAnswer: -60123474*f**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.801135 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8037*s + 329. Let n(g) = -2*g + 30. Let q be n(14). Let h(a) = 49*a - 2. Let p(j) = q*w(j) + 329*h(j). Let i(c) = -2*c. Calculate p(i(r)).\nAnswer: -94*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2939*t + 3 - 2 - 2940*t + 4*t**2. Let l(x) = 16*x**2 - 5*x + 4. Determine 2*l(o) - 9*u(o).\nAnswer: -4*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*n + 553*n - 440*n - 3*n**3 + n**3.\nAnswer: -2*n**3 - 154*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Let k be -2 + (-3)\/2 + r. Which is the nearest to -1? (a) 0 (b) 1\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c + 4. Let x be b(-6). Let h = 52 - x. Solve h*r + r + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 11) to base 2\nAnswer: 110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 2*v**2 - 54. Let h = -48 + 48. Let x be p(h). Let o = x - -140. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, p: 4, z: 2}. Give prob of picking 1 h and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/29)*r*r**(21\/4) assuming r is positive.\nAnswer: r**(849\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasasaslabaadasaasa. Give prob of picking 1 a and 1 l.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwmwm. What is prob of sequence wmwc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -1\/4 (c) 1\/11 (d) -115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.78, -5, -9\/256, -4 in ascending order.\nAnswer: -5, -4, -9\/256, 1.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162923, 162922, 162921, 162920, 162919?\nAnswer: 162918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 213, 550, 1045, 1704, 2533, 3538?\nAnswer: 4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 306*b = -10081680. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10*m = 5. Let y be 0\/(m - 0) + -1. Suppose -j = 0, 4*j - 4 - 6 = -5*l. Which is the nearest to y? (a) 2\/15 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*z + 16. Find the third derivative of -6*j**2 - 2 - 23*j**3 - 32*j**z + 14*j**3 - j**3 wrt j.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278*l - 966 wrt l.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/11969 - -275296\/35907. Factor n*j - 529\/6*j**2 - 1\/6.\nAnswer: -(23*j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37847 = -2*a + 37847. Solve -3648*m + 3655*m - 63 = a for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4990*j + 5004*j + 182 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 9. Let w(m) = -3*m**2 + 10. Calculate -6*p(y) - 5*w(y).\nAnswer: -3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91, 122, 173, 244, 335, 446?\n\"Answer: 10*w**2 + w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3221331 and 0.02?\nAnswer: -64426.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 = 3*j - 2*j, 4*f = j + 7. Suppose 3*r + 2*x = 3 - 2, 2*r + 12 = 5*x. Sort j, 2, r.\nAnswer: j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 586*f + 15794. Calculate h(-27).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7093.1+-41.649\nAnswer: 7051.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/36 - 7*u**4\/36 - 4*u**3\/9 - 61*u**2 - 10. Find q, given that d(q) = 0.\nAnswer: -2, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 8 = 31*m. Suppose 14*u - 11*u + m*f - 19 = 0, 0 = 4*u - f - 18. Which is the second smallest value? (a) 1\/3 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-4)\/12)\/(962\/(-74)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5756 * -1\nAnswer: -5756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 566 = -h, 0 = -2*y - 4*h - 185 + 569. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 7:48 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 151176 less than or equal to 151188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 - 3*h**4 + h**3 + 3*h**2.\nAnswer: -h**2*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - 8 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104.597 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 10*s = -8*s + 85 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-4)\/16 - 5. What is the units digit of q*6*(1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -740 - -774. What is the greatest common factor of v and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-16)\/(-56)*7\/1. Suppose a - h = 28, 3*a + 2*h = -26 + 90. Solve s - g*n = 11, 7*s - 4*s - 3*n - a = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 66, 95, 110, 105, 74, 11, -90?\n\"Answer: -o**3 + 2*o**2 + 38*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150201398.\nAnswer: 2, 61, 103, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 - 11) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152452 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70322754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1866*d + 5608*d - 1868*d - 1870*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = c - 30*m + 2, c + 4*m = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 30086*n - 6107450. Calculate x(203).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 105. What is the biggest value in r, -0.1, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*j - 20*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 60.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (7 - 5) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**2 + 88. Let l(w) = -w. Let m(p) = -2*l(p) - 2*z(p). Let u(a) = 13*a**2. Give m(u(t)).\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**4\/24 + k**3\/2 + 16*k**2. Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-36) - (86\/12 - 1). Let h(y) = 2*y**2 + 12*y - 4. Let r be h(s). What is the units digit of (0 + (3 - 1))\/(r\/(-194))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 72. Give s(-17).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-4)\/(-2 + 6). Let k be 58\/56 - s\/8. Let a be -3*(-2)\/48 + -14 + 14. Put -3, -0.2, a, k in decreasing order.\nAnswer: k, a, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 1.5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19422560 to the nearest integer?\nAnswer: 4407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 0.6. Let w = 0.03 + -0.03. Let p = j + w. Which is the closest to p? (a) -3\/5 (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 328.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Let a be 3\/12 - 5\/52. Let h = 13\/36 + -10\/9. Put h, q, a in decreasing order.\nAnswer: q, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000001000000100101 + -100110100?\nAnswer: 111000000111011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11086 + 11788. Solve 6*m + 708 = q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24095216 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.4 - -19. Let l = b + 6.5. What is the fourth smallest value in -0.4, l, -1, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-28) - 25\/4. Suppose z = 5, 0 = l - 3*z + 16 + 2. Let g be -1 - 1\/f*(6 + l). Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + 9*a**3 + 5*a**4 + (6*a**2 - 3*a**2 - 2*a**2)*(-2*a**2 + 0*a**2 - a**2) in the form o*a + q*a**2 + i*a**3 + g*a**4 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 7*c + 21)*(28 - 2 + 18) to the form s*c + b and give s.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007417349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011545 rounded to 7 dps?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**1)**(7\/5)\/(k**(-6\/7)\/k**6)*(k**(-1))**(11\/4)*k\/(k*k**7)*k*(k\/(k\/k**(-1\/9)))\/k assuming k is positive.\nAnswer: k**(-257\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715925 divided by -5?\nAnswer: -543185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1130301230 (base 4) to base 13\nAnswer: -103c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61, -131, -199, -265, -329, -391, -451?\n\"Answer: f**2 - 73*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*r**2\/11 - 3489138*r\/11 - 872286\/11.\nAnswer: 6*(r - 145381)*(4*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3865 + 3.1865. Which is the nearest to -9\/4? (a) m (b) 0.01 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let t be f + -1 + 2 - -3. Suppose 2*v = t*v - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 r, and 1 n when four letters picked without replacement from {h: 3, r: 1, n: 11}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 910 divide 1705958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62437 is divided by 12230?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -38.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -282524 times -1\nAnswer: 282524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3511, -17179, -30847?\n\"Answer: -13668*g + 10157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*q**4 + 233240*q**3 + 1400165*q**2 - 58310*q - 350040 = 0. Calculate q.\nAnswer: -6, -1\/2, 1\/2, 11668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -1. Suppose 4*i - 122 = 2*d, -3*i + 2*d + 30 + 62 = 0. Calculate the remainder when z is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -18230157\nAnswer: -54690471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12046*w**3 - 221*w - 152070655 wrt w.\nAnswer: 36138*w**2 - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 947 + -908. Suppose 19 + 59 = q*j. Put 10, j, 3, -4 in descending order.\nAnswer: 10, 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5871530451 rounded to four decimal places?\nAnswer: -0.5872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(1\/2)\/v)\/v)\/v)\/(v*v\/(v**(-1\/10)\/v*v*v*v)))\/(v**(2\/3)\/v*v**3)*(v*v\/v**(2\/21)*v**0)**(-1\/2) assuming v is positive.\nAnswer: v**(-653\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2013, -8032, -18065, -32112, -50173, -72248, -98337?\n\"Answer: -2007*p**2 + 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2 - 9 + 1\/3*o**3 + 0*o. What is q(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -19. Let j = -40 - d. Solve -j*z + 4*u + 16 = 0, 0 = -z - 2*u - 3 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454307 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -1429554.\nAnswer: 13\/1429554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*h = 3*h - 3808. Solve -15*i + h = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281855 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 44?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**5 + 23\/2*m**3 + 4*m**4 + 6*m + 0 + 14*m**2.\nAnswer: m*(m + 1)*(m + 2)**2*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1. Let z = 18598 - 18580. What is the nearest to 0 in z, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-17)\/2 - -8)\/((-1)\/(-58)). Let s = -85\/3 - u. Put 0, -4\/5, s in ascending order.\nAnswer: -4\/5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.404+552227\nAnswer: 552227.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3535.\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3869223 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 4*x)*(190 - 190 - 9*x**2).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087276 is divided by 2338?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 minus 0.09787?\nAnswer: -0.34787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = i - 71, -2*x + 2*i = 34. Let q be (x\/15)\/((-6)\/15). Suppose -3*p + 22 = 7. Solve -5*f + 20 = 5*d, d + p*f - q = 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**8\/3360 - n**7\/840 + n**6\/720 + n**4\/4 + 2*n. Let u(k) be the third derivative of t(k). What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*b + 48, -66 = -4*g - 0*g + 2*b. Suppose -t = 2*p - g, -2*p + t + 10 = -2*t. Solve -3*d + p = -2*r, 8*d = 4*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 23*m**2 - 275*m + 3625. Calculate c(18).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Solve -m*z = -z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393542.\nAnswer: 2, 3, 77419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 110746.\nAnswer: 3\/55373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -20. Let k = 59 - q. Suppose a - 6*r = -2*r + 1, 4*r = 4*a - 16. Calculate the greatest common divisor of k and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 36.\nAnswer: 85\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 407 - 263. Suppose 0 = 3*f + 4*a - 56 - z, 3*f - 165 = 3*a. Let n(u) = -u**2 - 9*u + 1. Let b be n(-7). What is the greatest common divisor of f and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 0.3 (c) -0.1 (d) 1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131091375 to the nearest integer?\nAnswer: 11450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -21, -31, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3510 and 878670?\nAnswer: 2636010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2977 + 2.8977. What is the nearest to f in 9, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 584 and 1752?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51029 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + m**2 - 4*m**2)*(-16 - 5 + 9 - 2 - 1 + 0 + (1 + 0 + 0)*(2 - 5 + 2) + 1 + 0 + 0) to the form f*m + z + j*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/60819 and 50\/399.\nAnswer: 425733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 256, 259, 262, 265, 268?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**7\/560 - r**6\/60 - r**5\/16 - r**4\/8 - 5*r**3\/2 + 7*r. Let o(l) be the second derivative of z(l). Factor o(h).\nAnswer: -3*(h + 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)*(-60)\/(-40). Sort -2, 1579, -1, f.\nAnswer: -2, -1, f, 1579","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.954 - -0.046. Let n = -518 + 522. Which is the biggest value? (a) d (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 46*z**2 - 79*z - 130. Calculate k(21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1223, 4607, 10239, 18113, 28223, 40563, 55127?\nAnswer: 71909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + k + 22 = 2*c, -3*k + 3 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0082754*0.01.\nAnswer: -0.000082754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a century in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/98*(-4844)\/3460?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/7 + 45*l**2 + l\/7 - 45 = 0 for l.\nAnswer: -1, 1, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonobooobn. What is prob of sequence onb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q - 68. Let a(n) = 3*n + 16. Let t(f) = -23*a(f) - 6*c(f). What is t(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/10 + a**3\/2 + a. What is the second derivative of r(m) wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, -6, 9 in descending order.\nAnswer: 9, 5, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 377127819*y**2 + 1 + 377127823*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-12))\/(3\/18). Let b be i*((-16)\/(-5))\/4. Solve 4*u + v + 4 = 0, 3*u + 2*v = v - b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.0763271?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2567 - -2570. Let d(p) be the third derivative of 5\/3*p**4 + 0*p**3 - 1\/3*p**5 - s*p**2 - 1\/12*p**6 + 1\/42*p**7 + 0*p + 0. Factor d(k).\nAnswer: 5*k*(k - 2)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-21))\/((-1)\/(-3)))\/(2\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 364068 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*k + 6 = 0, -5*c + 750 - 725 = 5*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*m = -15, 2 = 2*m - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -577 + 584. Solve -p*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1139 - -335. Calculate the greatest common divisor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (5*(sqrt(154)*2 + sqrt(154)) - sqrt(154)))\/(sqrt(77)\/sqrt(112)))\/((sqrt(7) - sqrt(35)\/(sqrt(20)\/sqrt(4))) + 6*-3*sqrt(7)).\nAnswer: 26*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*w + 199630 = 191138 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 15385*b**2 - 58873408*b - 2319522816 = 0. Calculate b.\nAnswer: -39, 7712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -266077 - 23002 + 68594. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 18. Let w(r) = 4*r - 18. Calculate 5*h(q) + 6*w(q).\nAnswer: -q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**0*s)\/s)**(8\/13)\/((s\/s**(-2))\/s*s**(3\/5)))\/((s\/s**(-2\/11)*s\/s**3)\/(s**(-1\/4))**(-2\/45)) assuming s is positive.\nAnswer: s**(-14869\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.083 - 8.317. Let p = -6.7 - j. What is the biggest value in -4, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(3 - 1 + 1 + (4 - 5 + 3)*(5 - 4 + 0) + 3 - 3 + 2)*(-5*s - s + 2 + 8*s).\nAnswer: -28*s - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + i - 1303. Let g be d(31). Is -3193 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1506 divided by -6.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 + 351 + (-2)\/((-28)\/30)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9747756?\nAnswer: 2, 3, 43, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -965*j - 41. What are the prime factors of w(-1)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 1058c6?\nAnswer: -1058c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Suppose 3*x = -4*a + 260, -6*x + v*x = 0. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2876, 2880, 2880, 2876, 2868, 2856, 2840?\nAnswer: 2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/24 - l**3\/6 + 17*l**2\/2 + 11. Let y(z) be the second derivative of t(z). Let o = 2 - -5. Determine y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2. Let r(n) = -23567*n - 5606*n + 16470*n. Calculate h(r(a)).\nAnswer: -322732418*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2395 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 5\/8 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 1178 - 2*m - 339 - 6*m. Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39180 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/13739, -25, -3\/4, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24444\/(-9506))\/(((-18)\/112)\/(-3))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(49\/(-7)))\/((-1)\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*j**2*l**3 - 5*j**2*l**2 - 2*j**2*l - 39*l**3 - 108*l wrt l.\nAnswer: -276*j**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 16*b - 18.\nAnswer: 2*(b - 9)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1801 by -4.\nAnswer: -1801\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -68\/371225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u + 20. Let q be g(3). What is the second derivative of -216*w**5 - 21*w**5 + 35*w**5 + 2 - 12*w + q*w**3 - 50*w**3 wrt w?\nAnswer: -4040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 0 + 0 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 9)*(-2)\/(-12). Put 5, d, -4\/7 in ascending order.\nAnswer: -4\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.5061 * 0.3.\nAnswer: 3.15183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(304) + (sqrt(304) + 0 + sqrt(304) - sqrt(304)) - sqrt(304)))**2 + 4 + 0)*-5*-1*3.\nAnswer: 240*sqrt(19) + 4680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 5*v - 6*v**2 - 5*v**2 + 2*v**2 + 8*v**2.\nAnswer: -v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -7. Let i be (-1)\/((-28)\/t)*-7. Suppose 2 - v + 3*v - 4*v**i - 9*v = 0. Calculate v.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2\/9 (b) -17 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12\/11, -0.3, 3\/4, 4, 6 in descending order.\nAnswer: 6, 4, 3\/4, -0.3, -12\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000192 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/6)\/7*((-147)\/28)\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + bd7d4?\nAnswer: bd7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + -4 + (-55)\/20. Let g(t) = t**2 + 8*t + 8. Let w = -1 - -2. What is the remainder when g(l) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -1235717?\nAnswer: -1235712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 4050.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4139168121 + 37.163\nAnswer: -4139168083.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2552017 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = -4*q, 2*q = -33*d + 36*d - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -6\/77 (c) -3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 41, 42, 43, 44, 45?\n\"Answer: x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 + 61*m**4 - 15*m**4 + (-3*m**3 + 2*m**3 - 2*m**3)*(-3 - 2*m + 3).\nAnswer: 55*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -8, 2 in decreasing order.\nAnswer: 2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 40*m + 55 + 56 + 43*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*h + 4*g, -7*h = 86029*g - 86028*g - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388, -6460, -14908, -26726, -41908?\nAnswer: -60448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 6*t - 6. Let x be w(6). Let q(l) = -l**2 - 5*l - 7. Determine q(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/5 - 2954*d + 251379\/5 = 0.\nAnswer: -14787, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)*(-6 + 7\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 167 - 838 = 0. Suppose v = 3*i + y - 1487, -y = 4*i - 2064. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3384 - -3317.06. Let t = q + 67. Which is the biggest value? (a) 1 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chzh when four letters picked without replacement from mhhhhczlm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let i(g) = 6*g. Determine -4*i(p) + 7*x(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 12. Let x be a(0). What is the least common multiple of 10 and 142\/7 - x\/(-42)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 2 - 2 + (-2*p - 1 + 1)*((-3*p - 5*p + 6*p)*(-4 + 5 + 1) + p - 2*p - p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 7*t**2 + 9*t - 2. Let k be b(7). Let s = k - 21. What is the highest common factor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -597*u**3 + 2*u**2 + 4*u + 789. Let x(d) = -d**2 - 2*d - 1. Let h(g) = r(g) + 2*x(g). What is the derivative of h(m) wrt m?\nAnswer: -1791*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-88) - (-39)\/66 - 1)*-32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11880 divided by -3?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2223390531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/60 - w**4\/24 - 971*w**2. Let j be (-13)\/3 - 4\/6. Let d(h) = 3*h**2 - 5*h. Determine j*m(u) + d(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33903864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - c**3 + 5*c)*(c + 4 - 3*c + 4*c).\nAnswer: -2*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**3 + 2*v**2 - 3*v - 3. Let a(h) = 547*h + 2737. Let p be a(-5). Let n(q) = 8*q**3 + 3*q**2 - 2*q - 2. Calculate p*i(m) - 3*n(m).\nAnswer: -6*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**3 + 2*q**3 + 2*q**3)*(q + 4*q - 3*q) + 22*q**3 - 30*q**3 + 49*q**4 + 6*q**3 to the form v*q**3 + b + r*q + a*q**4 + s*q**2 and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1625, -2, -0.04, -3\/10, 159?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5*7\/21)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462387?\nAnswer: 3, 79, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 46 - 11 = n, 2*n - 2*v = -8. Let o(p) = -p - 2. Let g be o(-5). Sort n, 5, 0, g in ascending order.\nAnswer: n, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 25*j**2 - 62*j + 340. What is b(27)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 + 1261496*y - 630752*y - 630746*y.\nAnswer: 14*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.672 - 17151717.848\nAnswer: -17151716.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**2 + 933. Let a(b) = 16*b + 27. Calculate f(a(q)).\nAnswer: 32*q + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:52 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llplplllplplpplp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 1. Suppose -5*z + 20 = -5. Suppose z*u + 7 = -8. What are the prime factors of i(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 15*b**4\/2 - 321*b**3\/4 - 2379*b**2\/4 - 651*b - 144 = 0.\nAnswer: -4, -1, -3\/10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7433\/6 + -1219. What is the common denominator of -61\/3 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41124 (base 5) to base 9\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**5 - 4*f**5 + 3*f**5 + 2*f**4 + (-3*f**3 + 5*f**3 - f**3)*(0 + 0 - 2*f**2).\nAnswer: -14*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from {z: 5, s: 3, c: 5, v: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-793)\/273 + (1 - 46\/42). Let c be 3\/9 + l + 235\/105. Sort 14, -2\/5, c, -1\/2 in descending order.\nAnswer: 14, -2\/5, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 9*z - 265. Let m be j(-14). Sort m, -1\/4, -0.5 in descending order.\nAnswer: -1\/4, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2019204 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2353\/9, 2\/3, -3, -0.2 in ascending order.\nAnswer: -13, -3, -0.2, 2\/3, 2353\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12695890, -12695896, -12695902?\nAnswer: -12695908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgv when three letters picked without replacement from kgkgkfkvnkkfyky?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.341 in -0.2, -0.4, -3, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343865 and 776?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16409 and 3217515.\nAnswer: 3233924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -c. Let n be -1 - c - (0 + 2). Let u be 178\/(-2)*41573 - n. What is u rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-492)\/(-26))\/6 - (-4)\/(-26). Suppose -5*n - 92 = x*a - 233, -4*a - 4*n = -180. Suppose 37*u + 245 = a*u. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24228490 by -10.\nAnswer: 2422849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 841387212294787.31000302 + -841387129949328. Let x = v + -82345460. Let i = x + 0.69. What is i rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1, b: 1, l: 2}. What is prob of picking 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 4*v**2 + (3*v - 2*v + 0*v)*(3*v + 5*v - 2*v))*(7 - 2 - 1).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 29*g + 22*g - 3 + 4*g**2. Let j be i(-1). What is the nearest to 0 in j, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) - (-5)\/3. Suppose -3*r + j + 2 = 0. Let c be 6 - r - 6\/2. Sort -5, -4, c in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i + 4 = 0. Suppose s = -g + 3, s = i*g - 2*s + 9. Let k(u) = 0*u - u + g*u. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 7, f: 2}. What is prob of picking 4 m?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24272 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1935 by 2.\nAnswer: -1935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -18*z + 1663 - 1673 - 34*z. Is q(-1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ed5928 (base 16) to base 14.\nAnswer: 20cc972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*c - 78*c - 80. Suppose -3*g - 12 = 0, 0 = -c*w + 5*g - g + 41. What is the lowest common multiple of w and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1277)\/(-7662))\/((-1)\/((-348)\/(-2))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/56 + 1\/7. Let d = 0.5 + -0.3. What is the nearest to 1 in d, 0, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 702\/15313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 10) in base 11?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -5*sqrt(153)*-3 - (-3*sqrt(153) + sqrt(153))*-4)\/((-4*(sqrt(63) + -2*sqrt(63)))\/(sqrt(56)\/(sqrt(8)*1))) + -2)**2.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 - -267. Find the common denominator of (-184)\/(-230) - i\/100 and 36\/7.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/21 - y**5\/15 - 2*y**2 + 4*y. Let v(t) be the first derivative of i(t). Find the third derivative of v(b) wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132404033503 - 5?\nAnswer: 132404033454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829\/(-451) - ((-1060)\/55 - -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 12*g**2 + 4*g - 15. What is r(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430040 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -52. Let j = 16 + -12. Let w = 2950\/11 + -268. Which is the second biggest value? (a) j (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -18, 0 = -33*i + 38*i - 3*p - 23877. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nipoono. Give prob of picking 1 o and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -335, -829 in decreasing order.\nAnswer: 2, -335, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -31. Let v = -20 + n. Let x be 52\/14 + (-34)\/(-119). Which is the smallest value? (a) 4\/9 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 + 169*r**3\/6 + 1596*r**2 + 92512*r\/3 + 87808\/3.\nAnswer: (r + 1)*(r + 56)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -59. Let r = f - 21. Let c = r + 48. What is the closest to 2\/5 in 0.5, 2, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -1311567*j**2\/2 + 1311552*j + 30 = 0.\nAnswer: -10\/437189, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*c - 574*c = -15088. What are the prime factors of c?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -368, -382, -398, -416, -436?\n\"Answer: -f**2 - 11*f - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712491 - 712496 + 1424987 - 74*q**3.\nAnswer: -74*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01805104692 rounded to five dps?\nAnswer: -0.01805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 11*z - 20. Give y(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 36, 38?\n\"Answer: 2*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -921*z + 10. Let r(d) = 617*d - 7. What is 5*m(w) + 8*r(w)?\nAnswer: 331*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/(-10) + 3\/45*-3. Calculate the remainder when (875\/s + -4)\/(-1) is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 460.9999771 - 461. What is t rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b0464b (base 13) to base 11\nAnswer: 2346a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - q + 5*q = 53, -k - q = -11. Let w be ((-18)\/21)\/(2\/(-14)). Let g be (w\/k)\/(4\/3). Is -5 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 330010?\nAnswer: 330011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxltjpxtrxrrxpl. Give prob of picking 1 t and 2 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*j + 19 = -16, -5*m - 2*j = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-1) + 8 + -12. Solve -i - 3*i + 18 = -2*m, -6 = q*m - 2*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - c - 23, 2*c + 20 = -5*i + 7*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/7)\/((-13273)\/14294). Let i = -25 - -178\/7. Sort 27, v, i, 1\/4 in descending order.\nAnswer: 27, i, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -17. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/(-26)) + 5. Are q and 18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267 + -273. Which is the nearest to -2\/3? (a) i (b) 1 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053371 to three decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let r(c) = -3*c. Let p(b) = -9*b. Let w(m) = 3*p(m) - 6*r(m). Give w(z(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k*t**2 + 855721*k*t - 9752275*k wrt t.\nAnswer: -12*k*t + 855721*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*j - 17618 = 22*j - 436*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 36 - 168. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(784) - (sqrt(784) - sqrt(784)*1))\/(sqrt(7) - 4*sqrt(7)*-1))**2.\nAnswer: -336\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21*d - 2360 = 19*d, -4*r = 5*d - 9440. Does 40 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 8*b**2 - 6*b - 4. Let o be t(7). Let j(y) = 2*y**2 - 6*y + 7. Let l be (-9 + 3)*(-1)\/2. Let a be j(l). Solve -a*w = -o*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5767.882 hours in nanoseconds?\nAnswer: 20764375200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3137 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 34, 71, 122, 187, 266?\n\"Answer: 7*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 13*s - 367504, 90*s + 2*n + 56534 = 92*s. What are the prime factors of s?\nAnswer: 2, 5, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16462822.000054 - 16462799. Let i = -23 + d. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 15*m - 2. Let r be c(-13). Let n = r + 30. Solve -4*q - b + 6 = -q, 5*q = -n*b + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2. Let j(f) = 72*f**2 - 84. Calculate j(g(d)).\nAnswer: 648*d**4 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1604655450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l - 5. Let o(b) be the third derivative of -b**6\/120 + b**4\/4 + 3*b**3\/2 - b**2. Let y(k) = k**3 - 5*k - 8. What is l*o(f) - 6*y(f)?\nAnswer: -f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 807, 3104, 6915, 12246, 19103?\nAnswer: 27492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 15*g - 960 = 0. Let k = g + 143. Which is the second smallest value? (a) 1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -23*l**3 + l. Let n be r(1). Let s = -12 - n. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/59)\/o*o**(-3\/11)*o)\/(o*(o\/(o*o**(-15)\/o))\/o*o**(-6)) assuming o is positive.\nAnswer: o**(-6645\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.27 (b) 2\/3 (c) -1\/3 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j + 8. Let s be -16*(-1 - 4\/(-8)). Let h be f(s). Let v = 3 - h. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c. Let v be m(6). Is 322\/6 - (-12)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15560 + -5?\nAnswer: -15565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 1\/12, -3480\/11, 7 in decreasing order.\nAnswer: 7, 1\/12, -205, -3480\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8446 rounded to the nearest one hundred?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10*x = -1357864. Suppose -31*p + 32*p = -92733. Let h = p + x. What is h rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 26*x + 12 = 0, 0 = 2*f - 2*x - 20. Suppose -5*q = -3*a + 1215, -f*a = -4*a - q - 1215. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 76, 118, 158, 196, 232?\n\"Answer: -v**2 + 47*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -146, -226, -304, -374, -430, -466, -476?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1515.866 hours?\nAnswer: 5457117600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25955310197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - o**2 - 3*o + 1. Let y be (-12)\/9 - 3\/(-9). Let j(k) = -k + 1. Determine y*a(z) + 3*j(z).\nAnswer: -2*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -144*x**5 + 1476*x**4 + 3400*x**3 - 4140*x**2 - 4576*x + 1344 = 0.\nAnswer: -7\/3, -1, 1\/4, 4\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4076 - -4071. Put -4, 2, -43, k, 4 in increasing order.\nAnswer: -43, k, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833825640 is divided by 602.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183499 - -183517. Let x(d) = 3*d**3 + 2*d**2 - 1. Let s be x(1). Let y be (54\/4)\/(s\/8). Calculate the highest common factor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -97?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9019 - 514114\/57. Let c = -3532007\/6 - -594752. Let m = -6063 + c. What is the common denominator of m and i?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*((-7)\/2 - -3). Let v(j) = -j**2 + 4*j + 9. Let o be v(z). Let q(l) = -l**3 - 12*l**2 + 10. What is the tens digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/(l**7\/l*l*l)*(l*l**(-2\/9)*l)**47*(l**(-10)\/(l**(-2\/11)*l))**4 assuming l is positive.\nAnswer: l**(2602\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208.91 - 211. Let i = z + 1.19. Which is the fourth smallest value? (a) 3\/4 (b) -0.07 (c) i (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1123 + 2762. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 25*c + 65. Does 9 divide a(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 19*w**2 + w - 16. Let l be c(19). Let u = 33 + -13. Solve -4*q - 4*f - 16 = 0, -4*f - f - u = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*p - 755 = 52 + 2523 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (-4 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6845 and 58645?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31650485 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/28844 + -1197035\/259596. Let s = 369717 + -2185739\/6. Let j = s - 5452. Find the common denominator of j and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-2*2*sqrt(108))\/sqrt(6))\/(6*(sqrt(324) + sqrt(324)*1 + sqrt(324) + sqrt(324))))**2.\nAnswer: -1295\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q)**(-6) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 25 = 2*v + 3*v, -2*v = -5*g + 9. Suppose 0 = -v*s + 3*s + 25. Solve s*a = 11 + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 916*l - 49104.\nAnswer: -2*(l - 396)*(l - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10 and -43\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(-2\/3)))*f*f)**11*f**(-2\/5)*f**(2\/19)\/f)**(2\/23) assuming f is positive.\nAnswer: f**(22252\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 8\/5 (b) 0.7 (c) 1 (d) -2\/27 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.07363ml?\nAnswer: 0.00207363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4)\/(f\/(((f*f**(-6))\/f)\/f))*(f*f**1\/f*f)**(1\/33) assuming f is positive.\nAnswer: f**(-361\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -5, -0.1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 10*v + 11. Let u be f(9). Suppose 0 = -0*i + i + u, 2*w + 2*i = 2. Solve 0 = -w*h - 4 - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htbhhtbh. Give prob of sequence ttbh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + z = 5*z + 6, -6 = -5*i - z. Suppose d = 2*s - 3*d - 14, 19 = 5*s - i*d. What is the units digit of (s + 13\/2)*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = 16*t + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoao when four letters picked without replacement from {i: 1, t: 1, d: 3, o: 4, x: 2, a: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 7*t**2 + 5*t + 5. Let f(y) = 3*y**3 + 13*y**2 - 9*y - 9. Let a(l) = -3*f(l) - 5*i(l). Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/2213917 and 13\/2454?\nAnswer: 13283502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 10513, -1, -2, -5 in decreasing order.\nAnswer: 10513, -1, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2814\/(-33) + (-1093 - -1178).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 32. Let f be -16 - ((-20)\/(-5))\/(-4). Let w be u(f). Solve 2*o = 2*d - w*o - 16, 0 = 4*o + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 48*g**2 + 50*g + 151. What is f(-47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14.08*-0.04\nAnswer: 0.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40384*z**5 + z**4 + 273401*z**2.\nAnswer: 2423040*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-600))\/((-3)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o - 3. Let k be f(1). Determine d, given that -k*d - 42*d**2 + 39*d**2 + d + 6 + 4*d = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -13150 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 times 134?\nAnswer: 168974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 144563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13 + 0*g + 8*g - g - 6*g. Let i = 13 + -23. Let n be q(i). Which is the third smallest value? (a) n (b) 0.5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 35802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*x + 3*x + 27*x + (107*x - 9*x + 42*x)*(4 - 6 + 3).\nAnswer: 199*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -373 - -365. List the prime factors of (-25051)\/(-52) - 2\/w.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 25. Let f(c) = 2*c**3 + 6*c**2 + 5*c - 2. Let p be f(t). What is the units digit of (-6)\/(-8) - p\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*p + 23 = 6, a + p = -2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/803 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a76 + 292?\nAnswer: d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/12)\/(5\/(-20)). Factor -4\/3*d - p - 2\/3*d**2.\nAnswer: -2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10246 and 2180.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -26. Let j = -10 + u. Let l(y) = -y - j + 10. Let k(a) = -7*a**2. Determine l(k(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 12*d**2 + d + 14. Let k be w(-12). Suppose 2*v - 3*s = -k*v + 66, 5*v - 82 = 4*s. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -878, -873, -868, -863, -858?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358397, -2716814, -4075233, -5433654?\nAnswer: -6792077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d - 10. Let b = 785 + -789. Let k(h) = -4*h - 3. What is b*w(i) + 14*k(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4, -2*s + 0*f - 12 = -5*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -1. Suppose 5*p - 6 = 4*o - 26, 0 = p + n*o - 25. Solve 0*c - 5*c - 2*j - 16 = p, 0 = 3*c + 4*j + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f**2 + 0*f + 3*f**2 + 2*f.\nAnswer: 104*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 65, 53, 25, -25, -103?\n\"Answer: -k**3 + k**2 + 2*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2740\/(-30))\/(2\/(-3)). Suppose -x - 117 = -2*h. Let z = -74 + h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21635 divided by -4.\nAnswer: 21635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/32 + 86\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*c)*(19 + 46 + 13) - 4 + c + 4 + (-3 - 2 + 3)*(0*c - 5*c + 0*c).\nAnswer: -223*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5622?\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22167 - 22145. Solve 168 = -i*j + 43*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 1350 = 76*d for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 908329761 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -494*q - 66. Let n(c) = -496*c - 78. Calculate 5*n(k) - 6*p(k).\nAnswer: 484*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - -1.93. Let j = 2.000001 - o. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 44*s**3 - 7 - 9*s**2 + 40*s**3 - 119*s**3 + 34*s**3. Give l(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125999*h**2 + 202086*h?\nAnswer: -251998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - -30266077.6.\nAnswer: 30266047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04005 greater than -34117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {t: 7, n: 2, y: 9}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/4 + ((-68)\/(-16))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (43 - 14)) + 21 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i, -2*d + 6 - 2 = 4*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 28*f = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 4 - 19 + 12 + 6.\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 2*m, -6*m = -3*m - x - 13. Suppose m*f - 5*f - 11 = y, 3*f + 13 = y. Let s(l) = -l**2 - 6*l - 6. Determine s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 t, and 1 e when four letters picked without replacement from {t: 2, i: 1, g: 2, o: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 0*s - 4, 5*s = 5*t - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889 = 2*t + 189. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvwvvwvwwvvvvvvvvw.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((18\/240*25)\/9).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.716 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mttt when four letters picked without replacement from {m: 3, t: 15}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 + (-1 - -8) + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 98. Let h be 2 - (1 - 2)*2. Solve -a*v = 3*m - 2 - 8, 4*v - h*m = -24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79411, 158893, 238375, 317857?\n\"Answer: 79482*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.115281 and -0.14.\nAnswer: -0.01613934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(4\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/368*(-38502)\/(-62).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37261\/11778 + -6\/1963. Let w be 3 - 2 - (1 - -4). Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 547ac18?\nAnswer: -547ac15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - f + 8*f - f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3. Let f(x) = x - 4. Determine 6*f(g) + 5*n(g).\nAnswer: 6*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-21)\/140)\/(6\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 12:53 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 153. Which is the nearest to 2\/9? (a) -3 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12441002 (base 5) to base 4.\nAnswer: -132121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 100. Let v(o) = o + 102. Let f(j) = 3*t(j) - 4*v(j). Let n be f(21). Which is the second smallest value? (a) 0.3 (b) n (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/120)\/(12\/8). Let s(z) be the second derivative of -q*z**4 + 2\/5*z**3 + 0 - 41*z - 9\/5*z**2. Factor s(i).\nAnswer: -2*(i - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -46. What is the remainder when 68 + (-2 - 0)*-1 is divided by -54*-3*b\/27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25bd - 6bc?\nAnswer: 1e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d\/d**(-1\/35)))\/d)\/((d*d\/d**(7\/5))\/d))**(-48))**(-4\/7) assuming d is positive.\nAnswer: d**(2496\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/4)*d)\/(d**(-1\/13)*d))**(3\/2)*((d*d*d*d\/d**(-1\/5))\/(d**(-3)*d))\/((d*d*d**(-6\/7)\/d)\/(d**(-7)\/d)) assuming d is positive.\nAnswer: d**(173\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2995, -12, 2, 3 in decreasing order.\nAnswer: 3, 2, -12, -2995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/40846 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 10 = 4*n - 17*x + 7*x + 36, -4*n = 16*x - 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + m = -8*c + 386, -m - 4 = 0. Suppose 5*f - c = 4*o, 47 = 2*f - o + 14. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4823.\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/1395 and 19\/69006.\nAnswer: 1035090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-78) + (-3 + 1)\/26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 698 - 0?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115.46 - 115.5. What is the third smallest value in -1\/5, r, -0.5, 79?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11\/28726006 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. Solve 3*v + 4 = -s, 0 = -s + 5*s + 4*v - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1614 + 1406.8. Let i = 207 + y. Which is the fourth biggest value? (a) 0.1 (b) -1\/2 (c) i (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 125\/(-8) - (-36)\/(-96). Let c = -11 - a. Suppose 10 = 2*j - 4*w, 0 = -j - c*w - 3 + 8. What is the remainder when 8 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + q = -874, 10*g + 878 = 5*g + 3*q. What is g rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -33506001?\nAnswer: -33506000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 88659003.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5223, 5222, 5209, 5178, 5123, 5038, 4917, 4754?\n\"Answer: -l**3 + 6*l + 5218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:46 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2400, 9749, 21996, 39141, 61184, 88125?\n\"Answer: 2449*r**2 + 2*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let g(n) = -3*n + 6. Let o(x) = -g(x) - 4*h(x). Let c be o(-6). Find the first derivative of c*i**2 + 2*i**2 + 8 - 9 wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 2*q**2 + 3*q. Let s be c(-2). Suppose 0 = -4*d + s*d - 348000. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9852 and -43\/957286.\nAnswer: 5743716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -121*p**5\/20 - 21*p**2\/2 + 122*p. Differentiate d(c) wrt c.\nAnswer: -363*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 0.0651827.\nAnswer: -0.001303654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123104 is divided by 15232.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7 + 6 - 27*i + 1. Let a be ((-15)\/3 + 4)*-3. Let r(d) = -d - a*d + 2*d + 0*d. What is o(r(t))?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0*k**5 + k - 59 - 4\/3*k**6 + 11\/2*k**2 + 0*k**4 + 0*k**3. Differentiate u(t) wrt t.\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 26351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -11 + 2 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 579 and 5774367?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)*-1 - (1 + 0 + sqrt(76)))**2 + ((sqrt(2736) - sqrt(2736)*-2)*-5)**2 + (sqrt(2736) - (sqrt(2736) - (0 + sqrt(2736))*2)).\nAnswer: 44*sqrt(19) + 617501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.032 (b) -1\/8 (c) -14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10*(3915\/6)\/3. Suppose -3*i - 3*o + 6*o + h = 0, -3*i - 4*o = -153. Calculate the greatest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 249\/9462*(-38)\/(-4). Let a be 9\/((-1)\/((-28)\/(-6))). Which is greater: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-603))\/((-43)\/((-8514)\/(-44))).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 14*n**2 - 18*n - 26. Calculate the remainder when 169 is divided by v(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**3 - 5*i**2 - i - 8. Let y be o(4). Let r = 188 - y. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -103.1. Let u = -11\/161 - 5\/23. Put u, h, 0 in decreasing order.\nAnswer: h, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6420)\/120 - -55)*((-110)\/72 - 48\/(-108))?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}