diff --git "a/data/dm_maths/full_data/1262_11255.jsonl" "b/data/dm_maths/full_data/1262_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1262_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b(v) = 2513*v**2 + 3*v + 3. Suppose 20 = -5*t - 5*s, 4*s - 3*s = 4*t + 1. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 - b + 4. Let y = -5 + 10. Suppose 4*d - 2 - 10 = y*w, 0 = 4*d + 8. What is n(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1293? (a) 3 (b) 25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 185.1914988 microseconds?\nAnswer: 0.000000000306202875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.03 (b) 174 (c) 3\/5 (d) 2\/7 (e) 156 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:42 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 380000 = 13*j. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 5*s + 5. Let m(c) = 14 - c - 2*c + 10*c + 7*c - 12*c**2. Let a(w) = 14*j(w) - 5*m(w). Let q(l) = -3*l. Give q(a(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 80*j**2 - 85*j + 312. What is l(81)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -90*j**3 - j**2 + j. Let m be h(1). Round m to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/63)\/((-152)\/38)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2241*r - 13356. Give x(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.3, 10, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:32 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*g - 2177 - 21870, 5*a + g = 60060. List the prime factors of a.\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09962192 rounded to four decimal places?\nAnswer: -0.0996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169643 is divided by 84406.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -177, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 8*y + 0 + 1\/12*y**4 - 9*y**2 + 1\/2*y**3. Let w be b(-6). Solve w = -r - 3*o + 20, 5*r + 0*r - 2*o = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32078 - 32074. Let l be (-12)\/(-40) + 4\/(-5). Let q = -3 - -4. Sort -0.05, q, l, c in descending order.\nAnswer: c, q, -0.05, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Let h be a + (10 + 2 - 0). Suppose 7*i - 3*i + h = 0. Is -14\/9 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.904 - 0.044. Let l = b - 0.8246. What is l rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -264, -390, -518, -654, -804, -974?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1 - -1)\/(-2). Suppose -72 = -3*b - 4*w, 8*w = i*w. Suppose -p - 3*p = j - 8, -3*j = -2*p - 52. Calculate the greatest common divisor of b and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(300)*2 + sqrt(12)).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12688634 to the nearest integer?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -502, 5, 2149, -135 in increasing order.\nAnswer: -502, -135, 5, 2149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/2220)\/((-7)\/(105\/(-3)))*(-14)\/(-6).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.8 - 54. Let f = o + 15. Let i = -0.42 - -0.02. Sort f, i, 2 in descending order.\nAnswer: 2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 3 - 12*m**4 - 77*m**2 + 12*m**4 + 77*m**2 + (-m**2 - 3*m**2 + 2*m**2)*(-1 + 1 + m**2) to a + c*m**3 + w*m + i*m**4 + u*m**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4688, -18634, -41830, -74270, -115948, -166858, -226994?\n\"Answer: g**3 - 4631*g**2 - 60*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*c**2\/7 - 240*c\/7 - 192\/7.\nAnswer: -3*(5*c + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 42. Suppose -38*w + 36*w + 6 = p. Solve 3*v - 3*i = w, -v + 21 = 4*v + 3*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose x*z = 5 + 35. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -34*t - 2. Let q = 4 + -5. Let w be p(q). Suppose c + w = 4*j, j - 12 = -3*c - 4. Calculate the highest common factor of j and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + h + 1)*(0 + 0 - 2) + 4*h + 10 - 10)*(-h + 3*h - 5*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112 - 513*m**3 - 36 - 39 - 36 + 92*m**2 wrt m?\nAnswer: -3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1297751.67 rounded to the nearest ten thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 2098 (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 3, a: 1}. What is prob of picking 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 2\/13 (c) -1\/8 (d) 0.042 (e) -4\/7 (f) -51\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 7*t - 1. Let h(n) = -n**2 - 8*n + 1. Let q = -15 - -21. Let a = q + 0. Calculate a*h(y) + 7*z(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-10) + (-13)\/(-65). Suppose 4*k - 2*s = -0*k + 84, -i*s = 4. Suppose -8*v + 36 = -4*v. Solve -v = -2*u - a, 3*u + 0*a - 5*a = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 3*r - 4. Let b be c(3). Suppose b*t - 20 - 5 = 0. Solve 0 = -t*d - 4*g - 13 - 16, -2*d + 3*g - 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35298504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -901*z + 1249 wrt z.\nAnswer: -901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*d = -42, 0 = -1588392*d + 1588388*d + 56 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -144, 5, -0.5, 4\/7, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 52*o**3 + 77 + 51 - 65*o**3.\nAnswer: -117*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-60)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 12*j - 3*j + 11*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1397 - -1401. Let k(g) be the second derivative of -3\/4*g**s + 3\/2*g**2 + 0*g**3 + g + 0. What is the derivative of k(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4237831.\nAnswer: 13, 325987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -11\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2163238 and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*g - 3 + 3)*(2 + 2*g**2 - 2) + 0*g**3 - 2*g**3 - g**3)*(24*g - 27*g - 17*g).\nAnswer: 220*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43091b195 + -3?\nAnswer: -43091b198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245 = -3617*f - 88053 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.287 (c) -0.3 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 63*a**2 - 60*a + 285. List the prime factors of g(43).\nAnswer: 5, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5797, -5800, -5803?\nAnswer: -5806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26466 + -18795. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 3. Let o be j(-5). Let b be -3 + (-80)\/(-6)*(-24)\/10. Let n = -33 - b. Solve -n*f = o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 + 197790*u + 3260073675 = 0.\nAnswer: -32965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 109?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 28301 (c) -20\/7 (d) -2 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 - b**4\/24 - 4*b**3\/3 - b**2. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1414 and -0.3.\nAnswer: -1.4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(8\/6) - 405\/(-60). Solve -4*x - 26 + k = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 + 42*t + 21. What are the prime factors of r(-9)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8)*-3)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633764 is divided by 408436?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -19302272271273\nAnswer: 19302272271273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3888) + 1)**2.\nAnswer: 360*sqrt(3) + 3913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49185085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718 divided by -341205.\nAnswer: -718\/341205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 251, 797, 1699, 2951, 4547, 6481?\n\"Answer: -k**3 + 184*k**2 + k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 100. Let q be k(-17). Solve 6*w - 3*w = v + q, -4 = 2*v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*s + 24 = 2*s, 0 = 2*f + 5*s - 15. Let b be ((-8)\/7)\/((-2740)\/210 - -13). Solve -5*c + b = -4*x + 9, -f*x + 4*c - 21 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41840669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7856 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43820, -38131, -28650, -15377?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7)**(-40)\/(w**(5\/16)*w*w**13))**(4\/17) assuming w is positive.\nAnswer: w**(-277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.714542 rounded to 2 decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177 * 0.4.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((35\/(-5755))\/7)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 924*w + 2 - 954*w + w**3 + 1 - 13*w**2 + 0*w**3. Let q be h(15). Solve -q*u = 3*v - 3, -v - 4*u = 3 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79033.\nAnswer: 17, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4, s + 68 = 5*r - 2*s. Let p = 16 - r. Solve 3*n - 5*n - 14 = -2*x, p*n - 4 = -2*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4\/7 (c) 2.1 (d) -15 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + -4*(5*sqrt(242) + -5)**2.\nAnswer: -24298 + 2200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= 108\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:33 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.204404108 - 0.2044. Round r to 7 dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 2. Suppose 5*m = 4*f + 26, -17 = f - 0*f + 4*m. Let j(h) = 17*h - 9. Calculate f*a(w) - 2*j(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*a = -3 + 17, -12 = -3*a. Let j be 2*-1 - -35 - w. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + 15b8?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -r, -5*r + 4*d - 74 = -0*d. Let x be 6\/10 + 6\/r. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7876 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 33*f - 13. Give p(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = a - 71, -3*a - 2*i + 183 = 0. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14155944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -109.3. Let i = -9 + 8.7. What is the second smallest value in a, i, 3\/2, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hebbxppphbh. What is prob of sequence ep?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 j when three letters picked without replacement from uojpgjl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 642, 2, -0.3, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q - 3. Suppose 8 = -5*b + 9*b. Suppose -2*u + 3*n = 14, u + 7*n - b*n - 19 = 0. Let m be -4*(-3)\/4*u + -3. What is f(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1323423 - 658469. Suppose -3*h = 3*b - 2759997, b + 5*h - 424522 = p. What is b rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-9))\/((-16)\/24). Is h > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 - 3*i**2 + 2*i + 23. Let s be k(-5). Suppose 0 = 2*f - s + 399. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -906?\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -0.9 (b) -4 (c) -0.3 (d) 2\/11 (e) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 3*x**2 - 2*x - 4*x**3 + (x + x + 0*x)*(3*x**2 - 4*x**2 - x**2).\nAnswer: -8*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 142, 212, 282?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + 0. Suppose 235 = -5*j - q, 0 = -6*j + 5*j - 5*q - u. Let h = j - -72. Solve -5*i - h = z, -3*z = i - 1 + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 9) to base 11\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -186\/2309, 1\/2?\nAnswer: -186\/2309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.556 + 5.556008745. Round p to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) - sqrt(700))*4)**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3266 - -3284. Solve -3*i - x = 6*t - 3*t, 2*t - i + 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (66 - 66 - 8*d)*(-151*d - 174*d + 116*d) in the form v*d**2 + i*d + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 + -68. Let j = u - 41. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*r**5 - r**4 - 2*r**2 + 384*r wrt r.\nAnswer: 5400*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*k + 3. Let r(a) = -5*a + 4. Let u(b) = 11*b - 8. Let l(j) = -9*r(j) - 4*u(j). Let o be l(k). Solve o*x = d - 0*d - 13, -4*d + 14 = 3*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170531724 and -0.13.\nAnswer: 170531723.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 41*w**2 - 35*w - 100. Calculate the lowest common multiple of q(40) and (-2)\/((-11 - -12)*(-2)\/10).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**3 - 1870*f**2 - 167*f + 22786. What is k(89)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -i*l + 6 = -0*l. Solve 5*b = -l*f - 29, b + 3*f + 2*f + 19 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019492008 less than 0.8?\nAnswer: 0.819492008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 292 and 4.5599?\nAnswer: 1331.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a millisecond in microseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 1, h: 13, k: 2, y: 1, z: 2}. Give prob of sequence kyhz.\nAnswer: 13\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -121564.276696138.\nAnswer: -121563.876696138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 634417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 302. Let i be o(-38). Let c be 1 + 2 + -2 + 2. Solve i*z - t + 1 = 0, 4*z + c*t - 3 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225524 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659724 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1099*i**2 - 14260*i - 31. Give n(13).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -10709\/786?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(187) - 3*sqrt(187))\/sqrt(11))**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + k - 43 - 56 = 0, x + 3*k = 41. Let h(l) = x*l + 6*l - 3 + 43*l - 8*l. What is the tens digit of h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4265401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -5151284438904?\nAnswer: -5151284438903.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5585 (base 10) in base 8?\nAnswer: -12721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309428, 308938, 308450, 307964, 307480, 306998?\nAnswer: 306518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Suppose k - 2*k - 11 = -h*i, 4*k + 2*i - 10 = 0. Solve j = -2 - k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -935 (base 15) to base 2.\nAnswer: -100000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-27 - -4 - -51)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, -133 in decreasing order.\nAnswer: 3\/7, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 56 + 123 - 87 - 2*g to the form x + c*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3344*y = -85462 + 1862 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 104 - 52 = 0. Let b = c - -249. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3876475*u**2. Let j(k) = -2*k. Determine j(z(s)).\nAnswer: -7752950*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {e: 1, p: 1, s: 2, m: 2, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4, 5*s - 8*s - 2 = -2*o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241860655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 725 - 1398 - 11*w + 691 - w**2. What is b(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -37*l**3 + 2*l**2 - 4*l - 6. Calculate the remainder when 39 is divided by o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 316, 474?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 1 + k**2 + 3*k + 3*k. Let y be n(3). Let u = 19 - y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 33 = 5*p - p, 5*p - 45 = -5*v. Suppose 2*l - c = c + p, l = 5*c + 11. List the prime factors of 0\/1 + (l - -9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 77 = -21 - 67. Sort 28, -2, -4, l, -1 in ascending order.\nAnswer: l, -4, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 888 - 4*p + p + 0*p.\nAnswer: -2*p + 888","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3247 - -5702. Does 85 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11.9. What is x rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 174 = 8846. Suppose -5*s + j + p = 0, 6*j + 480 = 3*s + 3*j. Calculate the greatest common divisor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 996*d + 5. Let i(m) = -456 - 2923 - 585 - 789827*m. Let z(w) = -3964*c(w) - 5*i(w). Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 0 + (9 - (-8 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -100540.\nAnswer: -502700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*r + 1541*r = 134290 - 38706 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 16. What is the least common multiple of p and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 137*y**2 - 5613*y + 214. Determine c(33).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2*4\/(-6))\/((-3572)\/1216) and ((-4)\/(-5) + -2)\/((-20)\/(-15))?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-759)\/23)\/11*(-2)\/(-9). Which is the nearest to 18? (a) 0 (b) z (c) 2\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5074927 and 139\/1794?\nAnswer: 30449562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-180) + (-22)\/(-264)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1443312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-577)\/4 - 4\/(-16). Let t be k\/(-45) + (-2)\/10. Suppose 2*y - t*p - 89 = 0, -y - 25 = -2*y - 5*p. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -9, 2\/113, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12233 and 351?\nAnswer: 330291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 264941203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-10 - -1) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**2 + 92*t - 11. What is the remainder when o(-9) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*c**2*h**2 - c**2*h + 702*c**2 - 24*h**5 + 2*h wrt h.\nAnswer: -356*c**2 - 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Let y(h) be the second derivative of -h**4\/12 + h**3 + 3*h**2 + 3*h. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7132924 and 45314.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-8))\/(2\/37). Let b = n + -26. Solve -5*v - d - b = 0, -2*v + 4*d = -5*v + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 209 = 2*k. Let q = k + -19. Suppose p + 17 = -t, q = -4*t - 2*p - 0*p - 68. Which is greater: t or -18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 462*p - 39*p + 7)*(4*p**2 - 2*p**2 - 3*p**2) to the form d + s*p**2 + f*p + x*p**3 and give x.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48, -93, -134, -171, -204, -233, -258?\n\"Answer: 2*l**2 - 51*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*m**2 - 15*m**2 - 77*m**2.\nAnswer: -140*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d + 1. Let z be n(1). Suppose -2*t + 4*t - z = 0. Let i be ((-28)\/(-18))\/t - 1. Is i > -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(396)*-2 + (-1 + sqrt(1584))*3))**2.\nAnswer: -360*sqrt(11) + 39609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/30595 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153789.\nAnswer: 3, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 73*o**2 + 90 - 92 + 3*o**2 to j + f*o + t*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:47 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 16*r - 2. Let o(l) = 109*l + 26. Calculate 3*o(q) - 21*u(q).\nAnswer: -9*q + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 81*j. Let z(t) = 720*t**2 + 29. Give z(g(w)).\nAnswer: 4723920*w**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 11*l**2 + l**3 - 3*l + 13 + 0*l. Let o be i(-11). Let g = o + -49. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 32 = -13*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5*p**7\/7 + 2*p**6\/3 + 13*p**3 - 36. What is the third derivative of w(u) wrt u?\nAnswer: -600*u**3 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3 + (-525)\/(-252)*(-254)\/(-20). Let j(g) = 2*g**2 - 3*g - 2. Let l be j(-3). Is l smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -790 (base 11) in base 3?\nAnswer: -1022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23.94375km?\nAnswer: 23943750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2726 + 0?\nAnswer: 2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 + -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21207207*u**5 + 4592461*u**2.\nAnswer: -1272432420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1)\/((-4)\/(-20)). Suppose -26*b - 15540000 = -m*b. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -300 + 153 + 147 - 2*n**3 - n**2 - n**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(24) - sqrt(120)\/sqrt(5)))\/sqrt(12) + (5*-5*(1 + sqrt(2)))**2.\nAnswer: 1250*sqrt(2) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, 3\/4, -3 in increasing order.\nAnswer: -10, -3, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -1. Sort -1, x, -6 in ascending order.\nAnswer: -6, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 48*d**2 - 42*d + 1438. Let l(o) = -18*o**2 + 16*o - 539. Let p(a) = 21*l(a) + 8*x(a). Let c(z) = z. What is c(p(h))?\nAnswer: 6*h**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583176.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 17*n - 245 - 918 - 559 = 0 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -3*w = 3*s - 9, -j*w + 3*w - 1 = s. Suppose -3*a + 0*n = w*n - 9, -a - 4 = 3*n. Is 5 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*j - 1 - 12, 4*i = -5*j. Solve -1 = h - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 64546.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/15 - 2\/3. Suppose 2*r + 94 - 6 = 5*l, m = 2*l - r - 36. Let v = l - 6. What is the least common multiple of v and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 1 - (7 - 57). Let a = n + -50. Solve -4*q = -5*q - g - a, -3*q = -3*g + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7648*b**3 - 23370*b - 11123386 wrt b.\nAnswer: 22944*b**2 - 23370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) -27 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166362.\nAnswer: 2, 3, 7, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - 4.72. Which is the nearest to -1? (a) o (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 5*k - 2. Let g(z) = z**3 - 15*z**2 + 14*z - 4. Let j be g(14). Let c be b(j). Solve -2*m + c = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12161 divided by 19?\nAnswer: 12161\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 11*w**7\/420 + 3*w**4\/8 + 4*w**3\/3 + 2*w**2 + 16. Let n(r) be the third derivative of m(r). Differentiate n(b) wrt b.\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**5 + 1698 - 849 + 15*h - 849 - 4*h**2 wrt h.\nAnswer: -840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 503 - 498. Solve 0 = -4*d + 1 - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*d**4\/2 - 571925*d**3\/2 - 3977985*d**2\/2 + 4470365*d\/2 + 40084 = 0.\nAnswer: -911, -8, -11\/623, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -50*j**3 - 14*j**2 + j + 8. Let m be v(-4). Suppose 21*n - m = n. Does 38 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1904, 0, -927, -15 in ascending order.\nAnswer: -1904, -927, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g - 7. Let z be 91\/g + 7\/14. Let q = -11 + z. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38122138 to the nearest integer?\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-17))\/((-3)\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.74 + -30. Let n = u - -0.06. Which is greater: n or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 13) in base 8?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k - 3. Let l(h) = h**2 - h - 2. Let q(z) be the second derivative of z**3\/6 - 7*z**2\/2 + 8*z. Let c be q(0). Give c*l(s) + 4*j(s).\nAnswer: -3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -1 - (12 + -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 124. Let r be t(0). What is the least common multiple of r\/(-7) - 6\/(-21) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-17) + 2 - (-1400)\/(-85)*-21. Which is the closest to 2\/5? (a) y (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 - -34.18. Let i = l - 32.2. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274335982 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6 + 6. Suppose 0 = -3*j + j + y. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/16170*-21)\/(6\/14)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -773 - -781. Solve -3*r - 20 = -5*q + 2*r, -5*q - i = 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-10) - (-12 + 12\/1080*1497) and 20\/149.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.5, -4, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 158550*t**2 + 2220141*t - 7771008.\nAnswer: -3*(t - 7)**2*(t + 52864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(68))\/(sqrt(4) - (sqrt(448)\/sqrt(7) - sqrt(4))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.037, -5, -4 in descending order.\nAnswer: 0.037, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1428985\/1583379 + -2\/38619. What is the common denominator of g and -37\/1148?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80417944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 578795\/(-63) + (-6)\/(-27). Is -9187 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942658947?\nAnswer: 4942658947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2269952*x**3*y + 72645*x**2*y + 28*x**2 wrt x.\nAnswer: 13619712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 + -81. Suppose -3*x + 156 = -2*y + 19, 2*x - w = -3*y. Suppose 5*l = 36 + x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:01 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41309474303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 0.1, -5, 1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/4 + 10089*p**4\/4 - 387045*p**3\/4 + 2274711*p**2\/4 - 948879*p\/2 = 0 for p.\nAnswer: -3401, 0, 1, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3995*f + 23975. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1330, 3578.\nAnswer: -1330, -2, 3578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 24 - 14 - 2*p**2 - 21 to the form h*p**2 + q + b*p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2\/1866527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9cc - -1?\nAnswer: a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.05 - -0.05. Suppose 2*p - 3 = p. Let o be 0 + (-1 - (-2)\/p). Sort o, c, -1\/7.\nAnswer: c, o, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*3288\/(-1096)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 - 3*x**4\/4 + 17*x**3\/3 + 41*x**2. Let s be k(14). Let c = 10 + -31. Is s <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2057575 - 2057575 - 4080*c to p + u*c and give u.\nAnswer: -4080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*g - 494*g - 544*g.\nAnswer: -233*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose -31*n = -20*n - 11. Suppose -4*h + 5*p = -23, -9*h + 11*h = -p + n. Solve -h*i + 4*i - 10 = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 + 3 + -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*c = -7, -2 = -60*g + 62*g - 2*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1332 (base 7) to base 9\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23915 is divided by 11952.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 319, 430, 665, 1066, 1675, 2534?\nAnswer: 3685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 1. Let c(d) = 7*d + 2. Let o(r) be the first derivative of 15\/2*r**2 - 1 + 4*r. What is y*c(j) - 6*o(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48064, 48065, 48066?\n\"Answer: a + 48063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1377697 + 1376774.289873. Let y = 929.71 + x. Let m = 7 - y. What is m rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h - 171280 = 0. Suppose 4*p - h + 22440 = 0. Round p to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 5, 2, 1, 0 in descending order.\nAnswer: 31, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-3) - 130\/78. Let b(l) = l**3 + 2*l**2 - l + 4. Let a(r) = -2*r**3 - 5*r**2 + r - 9. Let w(k) = 4*a(k) + 9*b(k). Determine w(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fggfgjjjfujfgfu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 122*4\/(-40) - 2\/(-10). Let a = 18 + k. Is a\/16 + 157990\/112 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 17*j**3 + j**2 - 1. Let b be n(1). Solve -2*u + 11 = b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620940.4km to micrometers.\nAnswer: 620940400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003820189?\nAnswer: 3, 7, 1069, 89261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.06 (c) 2\/5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-130))\/(((-17)\/(3570\/675))\/((-12)\/70)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -719*l**2 - 2167*l - 30. Let z be v(-3). Factor 5\/4*d**2 - 1\/4*d**3 + z + 0*d.\nAnswer: -d**2*(d - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 21*h**2 - 5*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 26*u**2 + 48*u + 268. List the prime factors of s(-15).\nAnswer: 2, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(6) - sqrt(216)*2)*-4)\/(1*sqrt(300) + sqrt(3) + sqrt(1200)).\nAnswer: 4*sqrt(7)\/341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -20*s**2\/9 - 362*s\/9 - 4 = 0.\nAnswer: -18, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.13055 minus 0.4553?\nAnswer: -1.58585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79008*k**3 + 14233 with respect to k.\nAnswer: 237024*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17092, 68362, 153818, 273466, 427312?\nAnswer: 615362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (-13 - -15) + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllwmll. What is prob of sequence ml?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 3*k + 35. Let y be h(5). Let c = 78 - y. Calculate the highest common factor of 429 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from tjtjy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eppp when four letters picked without replacement from peemmmmmmempmeepp.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/(h**5\/h*h*h*h))**(-31)*(h**(3\/2)*h*h\/(h\/(((h*h*h*h**(-1\/2))\/h)\/h)))**(1\/12) assuming h is positive.\nAnswer: h**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1440021114 (base 5) to base 14.\nAnswer: -719862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1108372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238, 228, 244, 298, 402, 568, 808, 1134?\n\"Answer: 2*h**3 + h**2 - 27*h + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - -a?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1501 - 3066?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (39740822\/496)\/((-2)\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2966113872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 280, -1, -0.4, -2 in ascending order.\nAnswer: -2, -1, -0.4, 46, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (5 - (6 - 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = d - 15 - 9, -12 = 3*d. Let o = 6 - n. Solve -4*t + 0*t + o = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2*k. Let a = -16 + 12. What is the units digit of r(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -54*r**4 + 6*r**3 - 7*r + 14. Let m(k) = 380*k**4 - 40*k**3 + 48*k - 96. Let o(t) = 20*l(t) + 3*m(t). What is the second derivative of o(i) wrt i?\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1 - 3 + 6 - 1 + (3 - 3 + 2)*(-1 + 4 - 2))*(684*c - 183 + 93 + 88) in the form w + b*c and give b.\nAnswer: 2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 302393 (b) -3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/5)*h**(-3\/5)\/h*h**(2\/7)*h\/h**7 assuming h is positive.\nAnswer: h**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-8 + 4) - 32. Let i = b - -35. Suppose i*r + 4*n + n = 60, -r + 3*n = 0. Is r greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 + 57*b**3 - 54*b**3.\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10*x = -0*x. Suppose x = 7*q - 2419 - 5120. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2 (c) 1\/10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2\/2 - 5*t + 2. Let v(m) = m**3 + 8*m**2 - 3*m - 4. Let j be v(-8). Suppose -2*h - 3*h = j. Calculate l(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -1. Let b = 3.9 + 0.1. What is the smallest value in u, b, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-29 - -35)\/(3*(-2)\/(-68)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 + 21 + 1*-1. Solve 0*y = j*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + m - 18 = 0, 24 = -4*l - m - 7. Let f(d) = -d**2 - 2*d - 3. Determine f(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1445 - 1446. Which is the closest to -2\/9? (a) -5 (b) 0.9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-16)\/32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -0*c - 5610. Calculate the greatest common divisor of c and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(((h**(-4\/19)*h)\/h)\/h)\/h)\/h**(-15)*(h**(-9))**27 assuming h is positive.\nAnswer: h**(-4355\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 164. Let r = -87 + n. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8196, 16395, 24594, 32793, 40992?\n\"Answer: 8199*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -9. Suppose -2*j = -w*j - 3*a + 99, 5*a = -3*j + 88. Suppose -2*h = -23 - j. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 133, 708.\nAnswer: -3, 133, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 620330235 <= 620330234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(15) + (sqrt(1215)*2 - sqrt(1215)))\/(sqrt(3) + (2*sqrt(18))\/sqrt(6)).\nAnswer: 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64511 - -64503. Let h = -40 + 119\/3. What is the nearest to 2\/5 in 4, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1869*m - 13110 = -1892*m. Is m less than or equal to 570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 0*w**2 - 3*w**2 + (0*w + 0*w + 2*w)*(-3 - 5*w + 3))*(2*w**3 + 2*w**3 + 0*w**3).\nAnswer: -36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0 - f**3 + 1\/60*f**5 - 1\/8*f**4 + 0*f + 2*f**2. Let w be c(5). Let v(p) = p**3 - 5*p**2 + 5*p + 1. What is v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9605 and 1020?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3343 (base 6) to base 12\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156246 rounded to three dps?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 18. Let o be j(-8). Let d = o + 225. Solve -5*s - d = 0, -4*s + 10 = i + 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 73 = 47. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1467 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 2*j - 21*j - 9*j - 13*j.\nAnswer: -41*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 39*q**2 + 0*q - 582 + 582.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 210530510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 2, k: 1, z: 1, r: 7}. What is prob of sequence wg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.484 + 20.484. Which is the third biggest value? (a) m (b) -15 (c) -2\/13 (d) 0.2 (e) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + i + 4*i)*(2 - 1 + 1) + (-1 + 6 - 4)*(i - 3*i + 3*i) + (-3 - 17 + 7)*(-2*i + 0 + 0) as g + x*i and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j*j**(-1\/6)*(j*((j\/(j*j*j\/(j\/j**(-3))*j))\/j)\/j*j)\/j**(-5))**24 assuming j is positive.\nAnswer: j**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 + 0.6. Let z = v - 3.5. Let s = 15.7 + -16. Which is the closest to 0? (a) s (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 0, -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3092, -3053, -3014, -2975, -2936, -2897?\n\"Answer: 39*n - 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -9016\nAnswer: -1\/2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-2*x**3 - x**3 + 4*x**3) - x**3 - 2*x**3 + 0*x**3 - 1064*x**2 + 1064*x**2 + 160*x**3 as o + r*x**2 + c*x + z*x**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 88 = 76. Let m = 0.3 - 0.1. Put m, k, 0 in ascending order.\nAnswer: k, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 + k**4\/24 + k**3\/6 - 6*k**2. Calculate d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01781735 and 0.1?\nAnswer: -0.001781735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/3)*r**(1\/9))\/((r**(2\/5)\/r*r)\/r)**(24\/13) assuming r is positive.\nAnswer: r**(1688\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6045 and 0.2?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 52\/293 (b) -3\/5 (c) 2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 91. Let h = n + 35.000177. Round h to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13294 + -8.182323.\nAnswer: -8.049383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 6*n**2 - 2*n**2)*(n**2 - 4*n**2 + 2*n**2) - 8*n**4 - 6*n**4 - 7*n**4 to the form q*n**3 + s + g*n + w*n**2 + d*n**4 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/510)\/(4\/(48\/3))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 36505*y + 8352293. Determine s(-226).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*n = -4*b + 501*n - 16, -2 = 2*b - n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.91 + 105.81. Which is the nearest to i? (a) 2 (b) -8\/5 (c) -2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256084*w + 255959*w = 2250 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -42, -8 in descending order.\nAnswer: -1, -8, -9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w - 12. Suppose -8 = f - 2*h, -w*f - 5*h + 9*h - 16 = 0. Suppose f*b + 160 = 5*b. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12*(-1784)\/18. Let f = t - -25. Let a = 603\/242 - -1\/121. Put -3, a, f in ascending order.\nAnswer: -3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4 + 10702318*h**3 - h**2 - 10673976 with respect to h.\nAnswer: 8*h**3 + 32106954*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-61667599354\nAnswer: -61667599353.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.58 to 0 dps.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 49\/5 of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*h = -2692 - 3212 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(468) + 1 + (0 + sqrt(468))*-1)**2 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1972287 is divided by 2027?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let b(a) be the second derivative of 5*a**4\/24 + a**3\/3 + 33*a**2\/2 + 18*a. Let k(s) be the first derivative of b(s). Give k(i(l)).\nAnswer: -10*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 10. Suppose -d*k + 15 = -j + 6*j, 0 = 5*j - 5. Suppose -3 = k*f - 25. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 691, -102, -9, -6 in ascending order.\nAnswer: -102, -9, -6, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1110101100101011101?\nAnswer: -1110101100101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*t**2 - 95256 - 756*t.\nAnswer: -3*(t + 252)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.65 + 0.35. Let j(l) = 12*l - 11. Let q be j(1). Sort m, q, -0.7 in ascending order.\nAnswer: -0.7, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.2, 1, -9\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = 5*p. Suppose d - 3 + 0 = 0. Calculate the highest common divisor of d and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 330.331\nAnswer: 329.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18985*j**3*u**2 - 5*j**3*u + j**3 - 73*j*u wrt u?\nAnswer: -37970*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185530.9 months in decades?\nAnswer: 18212.7575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.01 - -107. Let r = -0.41 - i. Suppose b - 2*m = 10, -b + m + 13 = -2*m. Sort b, 0.2, r in decreasing order.\nAnswer: b, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384930393?\nAnswer: 3, 6101, 21031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31458793 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*795\nAnswer: 63.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/((-1776)\/32))\/((-68)\/(-12)*1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.5 and -0.4.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6.4. Let f = k - 2. Let s = 0.6 - f. Which is the biggest value? (a) s (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88475.717 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6693480 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21998794231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 117*b**8\/28 - b**6\/30 + b**4\/4 + 140*b**2 + 118*b - 2. Find the third derivative of y(f) wrt f.\nAnswer: 28080*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558, 2005, 4416, 7791, 12130, 17433, 23700?\nAnswer: 30931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*z = 20, -3*d + 9*z - 14 = 4*z. Let l(n) = -15*n + 15*n + d*n**2. Let s(a) = a**2. Determine s(l(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:06 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -1022?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -586.49 + 202.\nAnswer: -384.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*p + 77*p + 532*p.\nAnswer: 1273*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 31 = 2*w - 5, -79 = -2*p + 3*w. Let q = 52 - p. Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 53746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -5, -0.2, 0, 2.8369?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -113, -9\/2, 5, 7?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15617, -12125, -6305, 1843?\n\"Answer: 1164*k**2 - 16781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -46. Let s(o) = -o**3 - 26*o**2 + 272*o - 1. Let i be s(8). Put h, i, -2 in descending order.\nAnswer: h, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 4880740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12909648?\nAnswer: 2, 3, 449, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6784.1784 to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let t(a) = 43 - 43 + 2*a + a**n. Let k be t(-3). Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(6\/25)\/(-3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/54 - -27 - 27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*p**2 - 3375*p**3 + 1392*p**3 - 1880*p**3 + 111*p**2.\nAnswer: -3863*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*t - 162, -t = -0*m + m - 154. What is the greatest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = 3*f. Let p(m) = m**2 - 2*m - 2. What is the tens digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u**4 - 1\/5*u**5 + 0*u + 1\/30*u**6 - 45*u**2 + 8\/3*u**3 + 0. Let m(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2981 = -3*c + 3*g - 7*g, -c = -2*g - 987. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-7)\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*z = 3*o + 164*z - 5, -4*z + 13 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48373*u**5 - 3*u**2 + 695*u wrt u?\nAnswer: -2902380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6224196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -10 (c) -5 (d) -1\/9222 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 67) + (10 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -11*n - 1. Solve -5 = -n*q - z, 0 = -3*q - z - 1 + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 1 - 1. Let p(g) be the first derivative of 0*g - 16 + 0*g**2 - 2\/3*g**3. Give p(k(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114454909890752 + x**2 + 114454909890752.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -6) - (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304197 + -304159. What is the remainder when 0\/2 - 74*-1 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -11.0353?\nAnswer: -55.1765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 - 3*x**2 + 4*x + 2. Let q be m(2). Let r = q - -56. What is the remainder when 85 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivhn when four letters picked without replacement from nvhihnhnhhn.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18693902 to the power of 1\/2, to the nearest integer?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -444, -615, -786, -957, -1128, -1299?\n\"Answer: -171*b - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/6807 + -381967\/1579224. Find the common denominator of g and -17\/1044.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*k = -14, 8*i + 4*k + 15 = 3*i. Suppose 0 = -p - p + 8. What is the highest common divisor of i and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/11 (b) -1\/6 (c) 124\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let i(g) = 2*g - 8. Let k(d) = 6*a(d) + i(d). Give k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 37 + 52 + -83?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 308, 618, 928, 1238?\n\"Answer: 310*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 + 6*r + 3. Let a(v) = v + 2. Let m be a(-5). What is the tens digit of c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + 0.69. Let f = -18 - -22. Put k, f, 2 in descending order.\nAnswer: f, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133)\/(-21) + (-76)\/57 + 374\/(-77)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -761375 divided by -5.\nAnswer: 152275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*l - 1988 = 0, -5*j - 4*l + 75 = -2397. Calculate the remainder when j is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458731 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: Let t(a) = -5 + 1 - 6*a**2 + 4. Let f(l) be the second derivative of -l**3\/3 + l + 23. What is t(f(w))?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = -3*m + c, 27 = -5*m + 4*c. Let o be 15 - 12\/18*(17 - -13). Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -147. Solve -3*i + i + a = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -5*o, 4*o + 3*a = 6 + 8. Suppose -o*k = -k. Let t(w) = 2*w**2 + 17*w + 11. Let m be t(-8). Solve -m*q = 5*f - 23, k = q - 5*q + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1362 - 5?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -13. Let i = 0 - k. Let y be (2\/i)\/(-6 - -7). What is the third smallest value in y, -4, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4\/1063 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, -4\/9, 1, -87114?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - 3. Find the common denominator of (6\/(-20))\/(j\/(-885)) and -27\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 2233 = -4*g + 12*d, -5*g + 2772 = d. What is the remainder when g is divided by 74?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-187)*(-704)\/(-96))\/((-4)\/(-57))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-7 + 5 + 4). Sort k, -2, 15 in descending order.\nAnswer: 15, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 174?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 3470)*(6 + 10\/(-2)). Let i = z + -169. Suppose -3*g + 1631 = 2*r - r, 3*g = 2*r - i. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -58*m + 2. Let x(w) = 812*w - 29. Give 29*o(u) + 2*x(u).\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d**3 - d**2 + 2*d + 2. Is g(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30122 - 21?\nAnswer: -30203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - k**2)*(5*k**2 - 2*k**2 - k**2)*(-2 + 2 + 2) - 5 + 5 - 4*k**4.\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 26103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9132 + 9140.225. What is o rounded to one dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + i**2 + (-1 + 2*i + 1)*(i + i - 5*i))*(7 - 7 + 4).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**2 + 8*h**3 + 207*h**2 - 7*h**3 + 0*h**3.\nAnswer: h**3 + 241*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 15*j**2 + 14*j + 3. Let q be i(14). Suppose -5*w + 5 = 0, -2*p - q = -4*p + 3*w. What is the units digit of p\/(-12)*2*-18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430927959 to the power of 1\/2, to the nearest integer?\nAnswer: 20759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4086512 and -37\/115656.\nAnswer: 12259536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyhmyhmymy. Give prob of picking 3 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74860?\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102037.\nAnswer: 13, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/3 + 9374*j**3\/7 + 40516*j**2 + 83624*j\/3 - 79120\/7 = 0. Calculate j.\nAnswer: -1978, -30, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43110.263 + -5.\nAnswer: -43115.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6972664 to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*8\/6. Let w = y - 0. Let u(o) = 12*o**3 - 2*o**2 - 3*o + 3. Let m be u(w). Calculate the highest common divisor of m and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6348)\/(-6)*(-4)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -17*y**2\/2 + 11*y + 19. Let t(v) = -9*v + 4 + 0 + 3*v. What is 11*t(x) - 4*u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (20 - (-43 - -31)) - (-3 + -2 + 0)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116*g**2 + 6*g**3 - 1116*g**2.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -45, -4321, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 - -92. Let o = 232 + g. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 2. Suppose 10*j - l*j = 10. Are 0 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.988 - -19. Round c to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -0. Suppose m + 3*p = -2, -m + 0*p - 2*p - 3 = 0. Let f(q) = -4 + 3*q - 4*q + 3 - 2*q**2. Let r(j) = -4*j**2 - 2*j - 3. Give m*f(d) + v*r(d).\nAnswer: 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1*(-8)\/48*4. Let j(i) be the second derivative of -i**4\/12 - 2*i**3 - 10*i**2 - 17*i. Let u be j(-10). Put z, 3, u in ascending order.\nAnswer: z, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, f: 6}. What is prob of picking 3 n?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 267*l + 1797. What is p(-10)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 122. Suppose -x = -o*x + 12. Solve 12*c - 8*c - x = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*a**8\/a*a)\/a)\/a*a*a**(-3\/5)*a*(((a*a\/((a*a*a**(-2\/11)*a)\/a))\/a)\/a*a)**(15\/8))**(-5\/2) assuming a is positive.\nAnswer: a**(-3901\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 253908850 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 4 + 5 + 9\/3. Solve -x*m - 19 = y, 0 = 3*m + 11*y - 7*y + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6530, 4707, 1668, -2587, -8058, -14745?\n\"Answer: -608*c**2 + c + 7137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -479 - -461 - (15 - 2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 4. Let d = -0.67 + 0.97. Let q be (-710)\/(-1775) + (-7)\/5 + 0. Which is the nearest to q? (a) -0.1 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001173737 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -48158\nAnswer: -96316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5596.294l to millilitres.\nAnswer: 5596294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s - 5. Determine l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:04 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 52, 86, 122, 154, 176, 182?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m + 718*m - 22590 = 29*m - 67654 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*t + 30, -5*f = 7*t - 3*t - 5. Let h(o) = o**2 - 5*o - 3. Let x be h(f). What is the second smallest value in x, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952453.3 meters to nanometers.\nAnswer: 952453300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4222 + -4217. Let k(a) be the first derivative of -2 + 0*a**4 + 0*a + 0*a**2 + 5*a**3 - 9\/5*a**m. Find the third derivative of k(x) wrt x.\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568340?\nAnswer: 2, 3, 5, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52819171 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*l + 25, 0 = 4*g - 2*g - 4*l - 44. Let h = 28 - g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8151500 divided by 140\nAnswer: 58225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*f + 9, 2*j + 2*f = -j - 19. Let a be (3\/(-6))\/(j\/6). Let x = -3 + 5. Solve x*g - a = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238442 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w\/(w*w\/w**(-8)))\/w))\/w*w**(1\/3))\/(w**(2\/7)*w**(-2\/23)))**(6\/17) assuming w is positive.\nAnswer: w**(9790\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -23. Let b = 17 + c. Solve 3*u + 4 = b*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -5*g + u, u = 15*g - 11*g - 214. Calculate the remainder when 99 is divided by g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301202 - -130?\nAnswer: 2301332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**2 + 14*r - 48. Let n be p(2). Calculate the greatest common divisor of 17 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/15 + m**4\/8 + m**3\/3 + 721*m**2. Calculate y(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7163 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8*3*9\/(-27)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 - -815\/2. Let b(t) be the first derivative of -6 - z*t**2 + t. Differentiate b(o) wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1647 less than -1647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(3087))\/(sqrt(18)\/(sqrt(2)*-2)))**2.\nAnswer: 224*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 7*v + 6. Let u be n(8). Let l(f) = 57*f + 57. Let j(z) = 11*z - 2 + 1 - 6 - 18*z. Let k(o) = -33*j(o) - 4*l(o). Calculate k(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4382315 minus -4.1?\nAnswer: -3.3382315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 9*w**2 - 8*w - 161. Determine q(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 22352.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942 = 5*r - 533. Let p = -457 - -461. Suppose -p*y + 612 = -2*w, -2*y + r = -3*w - 3. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) -8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4227.8 + 4228. What is the closest to k in -3, -1\/3, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 1, b: 6, q: 5}. What is prob of sequence bb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11422*d + 34266. Calculate c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8589?\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13823384 to the power of 1\/2, to the nearest integer?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*f + 48 = 0, 40 = 5*r + 4*f - 26. Calculate the greatest common factor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 7:21 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-21)*9\/10. Let y be 42\/4*1\/(2\/(-24)). Let m be (4\/7)\/(162\/y). Which is the closest to k? (a) 5 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.45377 to 0 decimal places.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (16 + -7 + -3 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 9410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3412986, 3412694, 3412402, 3412110, 3411818, 3411526?\nAnswer: 3411234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -20 + (-8 - 4) + 27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 915, 1377, 1843, 2313, 2787?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 8*u**2 + u + 5. Suppose -p - 9 = -2*w + 12, 0 = 5*w + 2*p - 30. What is the tens digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 21006?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 - 111992*m**4 - 2351744*m**3\/3 - 559932*m**2 + 2351746*m\/3 + 671924 = 0. What is m?\nAnswer: -167981, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 12933.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by ((-549)\/366)\/(3\/(-188))?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7761 is divided by 114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 15*g - 6. What are the prime factors of s(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*y = 3, -8*h + 3 = -5*h + 2*y. Which is bigger: h or -13\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*l - 10, -4*w = -4*l - 10 - 6. Suppose 2*j - j = -5*d - 5, 5*d = -w*j + 5. Suppose 74 = 3*k - j*v, -3*k - 2*v + 8 = -59. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.35, -4, -1\/7, -2, 1\/123?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9424, -10980, -12536?\n\"Answer: -1556*b - 7868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 9*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523178?\nAnswer: 2, 383, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*l, -5*d - 2*l + 21 = -0*l. Let u = 3 - d. Suppose t = -u*t + 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/193570 and 113\/77428000.\nAnswer: 77428000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.089562\nAnswer: 0.0089562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/44 and -61\/13926?\nAnswer: 27852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 126794?\nAnswer: 1\/126794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296 + 300. Factor -20 + 5*j**4 - 11*j**2 + 24*j**3 + 27*j**2 - 24*j - 4*j**4 + 0*j**4 + 3*j**x.\nAnswer: 4*(j - 1)*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 + 15*q**2 + 7*q - 12. Let j = 209 - 217. Let t(k) = 4*k**3 + 5*k**2 + 2*k - 4. Let o(m) = j*t(m) + 3*w(m). Give o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/5 - 6*s**4\/5 + 38*s**3\/5 + 6*s**2\/5 - 36*s\/5 = 0. What is s?\nAnswer: -6, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 71. Give x(-22).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3278 - 0.3278. Let m be 1\/(-1)*2\/(-18). Which is the smallest value? (a) d (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-64 - -24)\/160)\/((-1)\/(-6)). What is the closest to -10 in -9, u, -1\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*w + 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 - 14*w + 5. Let n(i) = 5*i**2 - 7*i + 3. Let y(b) = -7*n(b) + 4*o(b). Let m = 164 + -73. Suppose -m*j = -83*j - 48. What is y(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1348147 to the nearest 1000.\nAnswer: -1348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*d + 104*d = b + 3, 2*b - 3 = d. Solve -d*m + 12 = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 744*k + 748*k + 41 = n - 0*n, -3*k - 17 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*v - 26, 2*v + 0*v = 4*n + 6. Let z be 12\/42*(-14)\/n - -219. What is the greatest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 8*d + 389 - 228 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 16*r\/3 + 14.\nAnswer: 2*(r - 21)*(r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(245)*-1 + 2 + 3)*1)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14 + 16*j + 27 - 13. Let p(w) = -44*w**2. What is v(p(b))?\nAnswer: -704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 3*c + 666. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 14. Suppose n = 5*u - 19. Suppose 64 = 2*t + u*j, 0 = -3*t - 3*j + 119 - 38. Calculate the greatest common factor of 154 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*h + 41, 3*h = -15*p + 12*p + 96. Calculate the remainder when 136 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*q - 39*q - 9 - 48*q + 28*q to u*q + o and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 2*u**3 - 3*u**3)*(3*u - 2*u + u)*(-3*u + 1 - 1).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 43028*z + 14046160.\nAnswer: 4*(z - 10420)*(z - 337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13074 is divided by 213?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43537 is divided by 1551.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (194 + 24 - 17)*(2 + 1 - 2)*(13*a - 26*a - 13 + 12*a) to g + l*a and give l.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14303*v**4 + 177*v**2 + v + 1 wrt v.\nAnswer: -343272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 5*j**2 + 3*j. Let z(i) = -2*i**3 - 5*i**2 + 3*i. Determine -5*b(m) + 4*z(m).\nAnswer: 2*m**3 + 5*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9697 * -66.\nAnswer: 640002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2068754239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -70. Let g be h\/56 + 22\/14. Suppose -w - 1\/2*w**3 + 0 - 3\/2*w**g = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 1, x: 2, a: 1, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:16 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 31985166 in decreasing order.\nAnswer: 31985166, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*((l\/(l\/(l**(4\/7)\/l)))\/l)\/l))\/(l*l**(3\/5)*l))\/(l**1\/l*l)**(-3\/4))\/(l**(-1\/2)*l**2*l*l)**31 assuming l is positive.\nAnswer: l**(-15249\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**3*y**2 + 35152398*p**3*y - 7*p**2*y**2 - p**2*y - 840*p**2 + 21*p*y**2 - 2*p*y wrt p?\nAnswer: 12*y**2 + 210914388*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.5, -3, 0.12, 5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2893 + -2893. Solve -g + 9 = -i + 2*i, -3*i + 15 = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 16*y - 48. Let c be v(12). Suppose -14*f + 4*f + 560 = c. Calculate the smallest common multiple of 21 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -741.\nAnswer: -592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007672 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eevp when four letters picked without replacement from pffevvpmvffw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/o*o*o**(12\/7))\/(o*o**(3\/23)*o**(12\/7)) assuming o is positive.\nAnswer: o**(273\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/12)))\/(p*((p\/(p\/(p**(-18)\/p)))\/p*p)\/p*p) assuming p is positive.\nAnswer: p**(215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1548392967058+-5\nAnswer: -4.8451607032942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*x**2 - 2*x + 15.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.030505 * -0.3.\nAnswer: 0.0091515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in -0.062, 2, 0.04, -4.8?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y**2 - y + 1. Let j be ((-3)\/(-2))\/(6\/4). Let d(g) = -3*g**3 + 2*g**2 + 3*g + 2. Let t(v) = j*x(v) - d(v). What is the units digit of t(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(16\/4)*26\/((-273)\/(-21))*-1?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503 = 2*w + 88*q - 651, -5*w - 4*q - 62 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11719427 divided by -1?\nAnswer: 11719427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 497823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23875, -47673, -71445, -95179, -118863, -142485, -166033?\n\"Answer: 2*f**3 + f**2 - 23815*f - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 48 + (4 - 4 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*w - 3*u, -3*w - 101*u + 23 = -105*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = -2. Let m(x) = 35 - 36 + 5*x**2 + 4*x**a + 2*x. Let q be m(1). Calculate the greatest common factor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -27\/17, -1, 0.4 in decreasing order.\nAnswer: 0.8, 0.4, -1, -27\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/250)\/((-16)\/80).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (23 + -51 - -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754320526 and 2778?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/40 and -47\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9006l to millilitres.\nAnswer: 900.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82371559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/3774 and 19\/1665?\nAnswer: 56610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2. Let b(k) = -k**2 - 1. Let m(u) = 3. Suppose 3*p + 15 = 18. Let t(s) = p*m(s) + 3*b(s). Calculate t(w(a)).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -955.4 + 955.3. Which is the closest to -5? (a) 1\/4 (b) 14\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.153 + 1.063. Let f = d - 0.11. Let l = f - 0.73. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-18 + 30 - 14 + 27*q)*(-8*q - 4 + 4).\nAnswer: 216*q**2 - 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 114?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -19*w**3\/3 - 5*w + 6. What is the first derivative of c(v) wrt v?\nAnswer: -38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8460 = -3*g, 20 = -5*g + g. Suppose 0 = 5*q - 3*m + 2*m - j, 5*q = 3*m + 2805. List the prime factors of q.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 s when four letters picked without replacement from tttttstttuuttt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13206 and 100068?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 123377, 123363, 123347, 123329?\n\"Answer: -v**2 - 11*v + 123389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/36)\/((-35)\/2730) - (-2)\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*y + 212*y + 214*y - 855*y + 248*y + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9261, 15113, 20965, 26817, 32669, 38521?\n\"Answer: 5852*y + 3409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 2 + 0 + 41428*p**2 - 41443*p**2 to the form f*p**2 + b + m*p and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w**2 - 911800 + 908168 + 11070*w**3 + 2*w**2 + 2*w**2 with respect to w.\nAnswer: 33210*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/30 - 4\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + -13.45. Let p = -19.7 - h. What is p rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let s = -16 - -10. Let z(v) = -v**2 - 3*v. Let t(g) be the first derivative of -g**2\/2 - 1. Let c(o) = s*t(o) + 2*z(o). What is b(c(k))?\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5759 - 3167. Let x = -2649.99 + d. Let o = -58 - x. What is o rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8143006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b**2 - 562*b + 17. Calculate the remainder when g(23) is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 - 33) + 16 - (4 - -38).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 - 3*p**2)*(-1 + 1 - 2*p) + (3*p - 4*p + 2*p)*(-17*p**2 - 25*p**2 - 140 + 39*p**2).\nAnswer: p**3 - 140*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*y**4)*(-3*y + y + y) + (2*y**2 - 2*y + 2*y)*(-4*y**3 + 5*y**3 + 2*y**2 + 0*y**3).\nAnswer: 4*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 160, 281, 390, 481, 548?\n\"Answer: -v**3 + 128*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.05. Let j = -22.05 - c. Let o = j + 21.99979. Round o to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -67, -1, -21 in ascending order.\nAnswer: -67, -21, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*0\/2. Let m = 4 + -3. What is the nearest to g in -0.3, -5, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32149 = -1226*c + 4638 - 11721 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 4. Let z be (-7786)\/(-85) + (-2)\/(-5). Let j = -89 + z. Sort m, 6, j, -1 in increasing order.\nAnswer: m, -1, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + -23 + 4 + -7 + (-5 - -3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2 + 272890*q + 545772 = 0.\nAnswer: -136443, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = q. Differentiate -14 + 6*i**q + 6 + 4 with respect to i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1. Let f(v) be the third derivative of -v**4\/12 + 13*v**3\/6 - 4287*v**2. Calculate f(w) - 4*p(w).\nAnswer: -2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -95. Which is smaller: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(15\/7)*(m**(2\/7))**4 assuming m is positive.\nAnswer: m**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 1235038*g\/5.\nAnswer: 2*g*(g - 617519)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34582 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + 1)) + 10 + (3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/233 - -27377\/2330. Calculate the common denominator of 31\/2 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*n**2 + 2339*g**2*n - 2799*g**2 + 2*g - 6*n**2 - 10 wrt n?\nAnswer: -2*g**2*n + 2339*g**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) - sqrt(180)*-1)*2*3*6.\nAnswer: 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w = -42*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 + 10*d - 17. Let w(s) = 14 + 5*s + 5*s - 7*s - 2*s**2 - 20. Give -6*c(i) + 17*w(i).\nAnswer: 2*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 8*m**4 - 779 - 688*m + 1553 + 6*m**4 - 775 in the form g*m + z*m**2 + c + i*m**4 + w*m**3 and give g.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*(n**(-2\/3)*n)\/n))\/((n\/((n**(-15)*n)\/n)*n)\/n))**(-8\/5))**(-10))**47 assuming n is positive.\nAnswer: n**(-34592\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -1072.\nAnswer: 40736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 4*m + 7. Let d be p(3). Let s be 396\/8*16\/(d - 0). Calculate the highest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from myzxrlxmr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345765652*l**4 - 7097*l - 4690 wrt l?\nAnswer: 4149187824*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 26506667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8453413\/231 - -109775\/3. Let h = q - -32\/11. Which is the closest to 2\/5? (a) h (b) 0.1 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*2*(sqrt(84) - (2*sqrt(84) - sqrt(84))*3)\/((sqrt(72)*-2 + sqrt(72))\/sqrt(6)))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p*p\/(((p**6*p)\/p*p)\/p)*p)))\/p)**(-33)*((((p**(12\/11)\/p)\/p)\/p)\/p)**17 assuming p is positive.\nAnswer: p**(1271\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*1*sqrt(78)*-1)\/((sqrt(1536)*-1 - sqrt(1536) - sqrt(1536) - sqrt(24))\/((-2*sqrt(32))\/sqrt(8))).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 110872809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.7 in 42, -5, 2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swi when three letters picked without replacement from {q: 1, t: 4, w: 2, i: 2, s: 3, x: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/11 - 533296*d\/11 - 35550577952\/11 = 0. What is d?\nAnswer: -133324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -10. Suppose -4*l = -3*i + 8, -4*l - 3*i + 1 + 15 = 0. Let o = -0.06 + 0.06. Which is the nearest to o? (a) 0.3 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*o - 70, -2*y + 2*o - 7 = -3*o. Let s(a) = a + 6. Is s(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/2, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343) + -2)*4*-3.\nAnswer: 24 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.3 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65646093 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/40 - u**5\/20 - u**4\/6 - u**3\/6 + 6*u**2. Is z(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 8*y**3\/3 - 2*y**2 + 398. What is o(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407427, -817091, -1226755, -1636419, -2046083, -2455747?\nAnswer: -2865411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*c**3 + 1316 - 1316)*(4*c - 5*c - 3*c) - 6*c**4 + 10*c - 10*c as u*c + t*c**2 + i*c**3 + p*c**4 + k and give p.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (9 + -83 - -17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27000212 + 0.27. What is w rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 3*h**4\/4 - 10*h**3\/3 + 7*h**2\/2 + 4*h + 3. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-18)\/h*h)\/(h\/(h**16\/h))*((h*h**(1\/4))\/h)**(-1\/74))**(-1\/9) assuming h is positive.\nAnswer: h**(395\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -71*r - 1. Let y(u) = -69*u - 2. Give -4*j(n) + 3*y(n).\nAnswer: 77*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*r**4 + 8116*r**3 + 740*r**2 + 11513*r.\nAnswer: 936*r + 48696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i - 1201. What is l(-45)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 + 107418*n - 214830.\nAnswer: -3*(n - 71610)*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 + 190. Let i = 42.52 - 42. Let l = 0.62 - i. What is the fourth smallest value in k, -3\/5, l, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562*c + 92466 = 1568*c. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 11) to base 6.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 14*z + 26*z - 6*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 59696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -24\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -735 - 54?\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*v - 40 = 0. Suppose 0*s + 2*s = v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) -4.7 (c) -68\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-62)\/(-1116))\/((-4)\/16*-5). What is the second smallest value in -2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327926793?\nAnswer: 3, 409, 267259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3541005914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.77768472 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, c: 3}. Give prob of picking 3 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243451 (base 7) in base 12?\nAnswer: -799a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + n - 3*n = 13, c - 4*n - 11 = 0. Solve -5*m = 5*p - 30, 2*p - 7*p - 10 = -c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 206*l**4\/7 - 7430*l**3\/7 + 15078*l**2 - 51408*l - 2247264\/7 = 0. What is l?\nAnswer: -3, 17, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8335 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 4*j - 2*j + 0 + 0 + 2*j + (4 - 1 - 1)*(j - 1 + 1) + 3*j - 4*j - j + 3*j + 0*j - 5*j + (0 + 0 + j)*(-2 - 4 + 5) - 4 - 2*j + 4.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.04, -2, -3\/2, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 76*g. Let q(y) = 10*y**2 + 14*y + 26. Determine o(q(f)).\nAnswer: 760*f**2 + 1064*f + 1976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496463981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b + 6. Let f be (b - -3)\/4 - -3. Suppose 0*n + 2\/3*n**f - 2\/3*n**2 - 2\/3*n**3 + 2\/3*n**5 + 0 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2062*w**3 - 894*w**3 - 1012*w**3.\nAnswer: 156*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(8)\/sqrt(4) + (-2*(sqrt(2) + -1 + sqrt(2)))**2.\nAnswer: -15*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002277 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9545 = -77*k + 704*k + 29*k + 41033 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w*y**3*z - 7*w*y**3 + 2*w*y*z + 12*w*z**2 - 8*w*z - y**3*z**2 wrt y?\nAnswer: -18*w*y*z - 42*w*y - 6*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/205)\/(-6 + 320\/55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 8*c**2 + 2*c - 1. Let m be y(4). Let p = 16 + -8. Suppose p*z = m*z. Solve z = 3*j + 2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let u(w) be the first derivative of -2*w - 64. Calculate u(p) - 3*z(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 + 2*g + 6. Let r be t(5). Let i = -36 + r. Solve -4*l - 5 = 3*m, 0 = -3*l - 2*l - i*m - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -8. Let v be -1*(-1)\/(w\/(-21)). Let t = -28\/15 + v. Is t less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*9\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74652702?\nAnswer: 2, 3, 12442117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107092055.\nAnswer: 5, 7, 157, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 10*c**2 + 13*c + 23. What is the units digit of w(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261\/(-51) + (-1204)\/(-119) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12482, -12508, -12554, -12626, -12730, -12872, -13058, -13294?\nAnswer: -13586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from hhvhkvhvvhvhkvhv?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39596008766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5370 divided by 1.\nAnswer: 5370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 5*a**2 - 4*a - 1. Let s be q(3). Let k(h) = -h**2 + 8*h - 1. Let b(o) = -3*o**2 + 23*o - 3. Let u(t) = -3*b(t) + 8*k(t). Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -430*n - 3437. Determine t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6675801163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 592. Let l be (-6 + 3)\/((-3)\/12 - 0). Suppose -l*m + n + 959 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156336 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -873, -1336, -1823, -2340, -2893, -3488, -4131?\nAnswer: -4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/19 + -43\/95. Let f = 6.489 - 6.989. What is the second biggest value in -0.3, -0.1, f, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 519 (b) 18488 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -6 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 10*m**2 + 7*m - 9. Let g be l(-10). Let f = -84 - g. Is ((-3070)\/25)\/(2\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2602+-357\nAnswer: -356.7398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 6 + 5 + 10*z - 5*z. Is u(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 724, 545, 366, 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95853013 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 - 2\/(-1)). Suppose 3*t + 2*h = -78 - 15, 4*t = -4*h - 124. Let x = t + 34. Which is the closest to x? (a) v (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1\/(2 + -9). Let a = 1.2 + -0.2. Let x = -7\/45 + 17\/45. What is the closest to s in a, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -5, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2664)\/(-38) - (-8)\/(-76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 - 4*q + 4. Let l be y(-4). Does 6 divide l\/4 + 3 + 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(-7) + -52 + 44. Let o = -4 - -9. Let n = -0.03 + 0.13. Which is the closest to n? (a) 2\/13 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -177. Let h = 441 + t. Suppose h - 80 = 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6580027 - 36.82.\nAnswer: -6580063.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(4020\/134*(-3)\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 11*n + 61. Let s be y(-10). Let g = -213 + s. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 2, t: 1, w: 2, n: 1}. Give prob of sequence et.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4512*a + 4839*a - a**2 + 4516*a - 13867*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-288)*-10)\/1?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 32, -133 in ascending order.\nAnswer: -133, -4, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - o - 2*o + 733 = 0, o - 1466 = -2*j. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*l = 29*l - 416 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g - 72. Determine h(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1860*l**2 + 5580*l**2 - 1853*l**2 - 1862*l**2. Let a(i) = -8*i. Give a(f(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5754\/23 + -250. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/6720 - g**7\/630 + g**6\/180 - g**5\/60 - g**4\/8 - g**2. Let n(l) be the second derivative of t(l). Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 67. Let f be h(16). Suppose -n + 5*q + 219 = -f, 0 = 2*n - 5*q - 759. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -0.1. Let i = t + 5.06. Let m = -0.0337 - 0.3663. What is the smallest value in i, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 1. Let a be j(-4). Suppose -o = -5*t + 20, -o - 3*o - 59 = t. Let u be (9 - 1)\/((-6)\/o). Solve u = -5*b + a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 628.9797l?\nAnswer: 628979.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 7, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721, 1190, 1659?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*(-36)\/5130 - 6\/((-11880)\/(-309)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 15370399?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from kkkrkrrkrrkrrkrr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 5:40 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 18.94?\nAnswer: -587.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42655941*a**3*h**3 + 2*a**3*h**2 + 109*a**3*h + 68852*a**3 wrt h.\nAnswer: 255935646*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5436, 5428, 5408, 5370, 5308, 5216?\n\"Answer: -i**3 - i + 5438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*p + 20 = 0, -22*p + 19*p - 14 = -2*z. Let c = 16 + -16.5. Sort 42, z, c, 2\/9.\nAnswer: c, 2\/9, z, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59b38ab + -1?\nAnswer: -59b38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15273585 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9254 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 15 = -13 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1332 - -863. Let x = 468 + s. Which is the third biggest value? (a) 1\/8 (b) -0.2 (c) -0.012 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y**4 + 65*y**3 + 130*y**2 + 70*y + 5. Let v(d) = 5*d**4 - 34*d**3 - 65*d**2 - 35*d - 3. Let t(z) = 3*u(z) + 5*v(z). Factor t(j).\nAnswer: -5*j*(j - 7)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l + 376. Give t(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096866 is divided by 42793.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 4. Let d be l(8). Suppose d*s = s - 96. Let q be (s\/10)\/(-2) - 1. What is the nearest to -0.2 in q, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + (76 - 66)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 15*a**2 + 279*a + 1563. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233*b + 112*b + b**3 + 120*b)*(4*b - 3 + 3).\nAnswer: 4*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 16*a**3\/3 - 9*a**2 + 27. What is the second derivative of o(z) wrt z?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -43?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38131 or 38129?\nAnswer: 38131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 12. Suppose 0 = -g - v*g + 60. What is the lowest common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*q - 47*q - 520. Let x(v) = v**3 - 25*v**2 - 27*v + 19. Determine x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/9 + 67840*c**4\/3 + 2237992*c**3\/3 - 610556*c**2\/9 - 6578302*c\/3 + 1491996 = 0. What is c?\nAnswer: -101727, -33, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 - 2*y + 2. Let p be x(-2). Suppose 3*s - 2*s = p. Suppose 0 = -3*j + s*a + 38, 58 = 3*j + 4*a - 2*a. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 587*h - 10494 + 10494 as r*h + a and give r.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 5. Let z be (-60)\/8*(-2)\/3. Let l be m(z). Let v(s) = -2*s - 13. Let g be v(l). Solve -g = b - 0*k + 2*k, 2*b + 2*k = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238917*o**3 + 231155*o.\nAnswer: -1433502*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 32648 and -144.\nAnswer: 32504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide (-67600)\/78*(-1)\/((-8)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 5. Let b be n(-4). Let l = b - 4. What is the highest common factor of 5 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8) - 126*2\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) 0.4 (b) 3\/7 (c) 3 (d) 0 (e) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 0*q**3 + 0*q**6 - 1\/40*q**5 + 0*q**2 + q + 0 + 0*q**4 + 1\/84*q**7. Factor p(n).\nAnswer: n**3*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*l - 36, 24 = -r - 2*r + 3*l. Let y(c) = c**3 + 13*c**2 + 10*c - 6. Does 11 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, -36, 5, 175, 0, 2.\nAnswer: -36, -25, 0, 2, 4, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -4*a. Let v = a - -6. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let p be (-1 - 3)*(-3)\/(-2). Let h be u(p). What is the remainder when 54 is divided by (-150)\/h - (-6)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)*(-14 - -19) - -4. Let n be h\/(-2)*(1 - -7). Suppose z + 4*s - 9*s + n = 0, 3*z - 3*s = 36. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*u = 3*t - 13, -2*u + 7 = 3*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let s(z) = -231*z - 241*z - 21 + 520*z. Let j(x) = -3*s(x) - 63*u(x). Let r(i) = -i - i + 0*i. What is r(j(g))?\nAnswer: 162*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33592)\/(-51))\/(-52)*30\/285?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*g - 3*b = 84*g - 3 - 3, 5*g + b = 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 2, y: 10, f: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/1008*-16*(-210)\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13118200 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j. Let c(q) = -481*q**2. Calculate c(d(t)).\nAnswer: -12025*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/4015 or -1?\nAnswer: -4\/4015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 94 = -2*o, -4*i - 3*o + 57 = -2*i. Suppose -9 - 3 = 4*z. Let l be (z\/i)\/((-12)\/14). What is the second biggest value in l, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14588 + -14587.999998247. Round l to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467\/12 + -39. What is the smallest value in f, 13, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3443178430842.3 - -0.1.\nAnswer: -3443178430842.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6560749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/212 and 85\/8.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**8\/80640 + b**7\/10080 + b**5\/20 + 3*b**2. Let n(z) be the third derivative of i(z). Factor n(d).\nAnswer: -d*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/9 and -69\/29177668.\nAnswer: 262599012","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 51. Let c = -1555 + 1568. What is the remainder when o is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 26565038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3)**14)**47 assuming y is positive.\nAnswer: y**2632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 2*g**2 + 4*g - 4. Let j be a(2). Suppose 0 = -z + j*z - 1083. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31080 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 488*s**2 + 3*s - 12. Let a(u) = -u**2 + 1. Let f(q) = 3*a(q) + y(q). Find the second derivative of f(g) wrt g.\nAnswer: 970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 5*z**2 - 17*z + 21. Give d(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -n. What is the least common multiple of (4\/6)\/(3\/18) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 10*i**3 - 4*i**2 - 40*i + 48.\nAnswer: -2*(i - 3)*(i - 2)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1. Let n(d) = 3*d**3 - 2*d**2 + d. Let c = -2 + 3. Let x be n(c). Let p(g) = 0 + 4 + 1 - 3 + g. Determine x*p(w) + 2*j(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185715500 and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let s(k) = -71*k**2 + 33*k**2 + 37*k**2. Calculate s(f(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41569335358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/40 + w**5\/20 + 2*w**2. Suppose k(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*k = 196*k + 66 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -650650*o**2*u + 14521*o**2 - 22 with respect to u.\nAnswer: -650650*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*w + b + 17, -2*w + 5*b + 49 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/4, -0.4, -5\/4, 0.4, 0.024 in ascending order.\nAnswer: -5\/4, -0.4, 0.024, 1\/4, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 55*n**3 + 140*n**2.\nAnswer: 5*n**2*(n + 4)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 55 = -4*x - x, x - 5*o - 35 = 0. Suppose -x*g - 16 = -12*g. Suppose g*h - 13*h = -95. What is the remainder when 73 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 154*x**2 - 19*x**2 - 18*x**2 - 18*x**2 + 217*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, 14, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 994878 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 290293 - -42143. Let q = 510436 - d. Round q to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 + 9*j - 10. Let b be a(2). Is 27 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525*s + 520*s = 0. Solve -8\/7*x**2 + s - 2\/7*x**3 - 6\/7*x = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 190 = 2*y, -13*y + 12*y - 3*n = -90. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from cscssccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3062*0.247\nAnswer: 756.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 5, 0, 3, -2 in increasing order.\nAnswer: -142, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 803110\/18 - (24\/(-54))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201739 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-4498)\/3806)\/(2\/(-11)))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 947896512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 362 = 259 + 207 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 51, 116, 227, 396, 635?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y*(y*y**(-16))\/y)\/(y\/y**4*y\/(y*y**18)))**(-5\/9) assuming y is positive.\nAnswer: y**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - 1. Let y be p(2). Suppose 0*a + 2 = a. Suppose k + 37 = y*j, 0 = -2*j + a*k + 7 + 19. Solve 4*m - j = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 - 5400*v**3 + 3650396*v**2 - 7284600*v + 3639602 = 0.\nAnswer: 1, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/24*((-92)\/(-483))\/((-2)\/(-7)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 512597229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 12) to base 3.\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1344.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 6*f + 8. Let m be t(7). Suppose -5*k = -4*p - 20 - 42, 0 = 5*p + m. Calculate the smallest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -4880?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, -383, -1495, -3561, -6881, -11755, -18483?\nAnswer: -27365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6748331 and 1166?\nAnswer: 148463282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/8*(-25 - -17 - -64164)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387743553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 2, f: 9, j: 4, x: 1}. What is prob of sequence qf?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:19 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/7 - 18*z**3\/7 + 26*z**2\/7 + 18*z\/7 - 4 = 0. What is z?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 6 + -1 - -1. What is the common denominator of (-2)\/r*(-112)\/3 and 8\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202143.1 to the nearest one thousand.\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/60)\/(1521\/(-7774)*(2\/(-15))\/(-1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9*u = -12*u - 43, 10 = 2*u. Let z(c) = -13 - 3*c + 16*c**2 + f*c - 32*c. Let y(b) = 5*b**2 - 2*b - 4. What is -7*y(p) + 2*z(p)?\nAnswer: -3*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a, -2*y - 230*a + 624 = -235*a. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -222 + 79. Suppose 2*w - 8 = -3*q, -4*q + t = 5*w - 7. Solve w*p + 4 = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, k: 4, m: 6, y: 1, w: 2}. What is prob of picking 2 m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.5 - 5.8. What is the closest to 1\/3 in -2, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14894.\nAnswer: 2, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzllzzuluzmzlxzul. Give prob of picking 1 u and 1 l.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h = 3*h + h - 1594556. What are the prime factors of h?\nAnswer: 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*c + 2*l, 4*l - 33 = -c - 2*c. Let d be ((-6)\/(-5))\/(6\/c). Suppose -2*o - 127 = -d*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 292\/15 (b) -10.7 (c) -17.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - 2 - (-17246 + -7 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:59 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/(-22) - (0 + -2) and (1372\/72 + -19)*(-111)\/(-35).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812 divided by -3169?\nAnswer: 1812\/3169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40405, -80725, -120899, -160855, -200521, -239825?\n\"Answer: 12*x**3 + x**2 - 40407*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769958 is divided by 498.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 103150068.4 to the nearest ten thousand.\nAnswer: 103150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 263.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*40\/(-104). What is the third smallest value in 0.4, -2, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 105, 127, 125, 99, 49, -25?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 35\/10)*2. Let r = -1.6 - -1.3. Which is the nearest to r? (a) d (b) -2\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4768 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - (-8)\/(-36). Let z be -6 - -10 - 4\/2. Suppose -z*f = -2*j - 6, 0 = -5*f - 0*j + j - 5. Sort n, -3, f in decreasing order.\nAnswer: n, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*y**3 - 2349*y**2 - 2*y + 1505473 wrt y?\nAnswer: 72*y**2 - 4698*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11930677?\nAnswer: 11, 971, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*a + 972 + 3\/4*a**2.\nAnswer: 3*(a + 12)*(a + 108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -860 - -911. Suppose -t - 3*t + 416 = 0. Let p = t - d. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 257.663 and 0.27.\nAnswer: 69.56901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167918 or 168023?\nAnswer: 167918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44177 and -2.4.\nAnswer: -44179.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39513 = -4*q - 5*b, 0 = 5*b - 139 + 154. Is 9883 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-5) + (-87)\/(-5). Let o = 12 + f. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 17, r: 2}. What is prob of picking 4 w?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/22))**(-6\/5) assuming p is positive.\nAnswer: p**(-3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -26 - -23)*25\/10. Let j = 0 + 0.1. Which is the biggest value? (a) -5 (b) -4 (c) j (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.4. Let w = -0.3 + j. Which is the smallest value? (a) w (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - sqrt(60)\/sqrt(4))*-4 - 4*sqrt(15)*-2)\/((sqrt(300)\/(-2*sqrt(12)))\/(4*(sqrt(5) + sqrt(45)))))**2.\nAnswer: 196608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.64 + 4.64. Which is the closest to z? (a) 0.5 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/5952 and -121\/6944?\nAnswer: 41664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 839 + 799 = 0. Suppose 3*x - v*t = 3007, 4*t = -14*x + 9*x + 5061. List the prime factors of x.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + q + 3*q + (-3*q + 5*q - 7*q)*(1 + 2 - 4) + (-6*q - 5*q + 10*q + (1 - 2 + 0)*(0 - 2*q + 0))*(2 + 2 - 5 + (-4 + 2 + 1)*(-2 - 1 + 4) + 7 + 8 - 5).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.908463 nanometers?\nAnswer: 0.000000000006908463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 37*s. Let k be y(2). Let x = 162 + -37. Let c = x - k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369 divided by -266609?\nAnswer: 1369\/266609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -1\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 + -31 - 10) + -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/4*(-4)\/(-6). Suppose -4*x - w = 5, q = -3*x + 18. 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*n = w + 247, 5*w + 35 = 4*n - 287. What is the remainder when n is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 (base 14) in base 3?\nAnswer: -100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -60.93. Let k = 3.07 + x. Suppose -5*l - 3*n = -2*n - 20, -4*l - 4*n + 32 = 0. What is the third smallest value in l, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -129, -86, -5, 126, 319?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2049 + 2048.5. What is the second biggest value in -0.6, -3, -12, f, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1134, -6920, -17360, -32454?\n\"Answer: -2327*r**2 + 1195*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**2. Let h(p) = 9*p**2. Let b(x) = x**2. Let v(j) = -6*b(j) + h(j). Determine v(m(s)).\nAnswer: 972*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -4) + 11 - (0 + -1) - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j - 9. Let x = -5 - j. Suppose -2*d - 2*q + 77 = -233, -x*d - 2*q = -467. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 14*v - 1624 = 0. What is the remainder when v\/(-21) + 2\/3 + -1 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2526 + 7381. Let i = 396213\/40 - o. Calculate the common denominator of i and -27\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4875275 divided by 191?\nAnswer: 25525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - m = -112, 6*i - 4*m - 206 = 4*i. Let y = i - 2621\/24. Calculate the common denominator of 75\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73160)\/(-590) + -7 + 2\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let y(o) = 0 + 0 + 0*o - o. Calculate m(y(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**3))\/(s**(4\/7)*s*s))**43 assuming s is positive.\nAnswer: s**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g + 3. Let q(a) = 5*a**2 - 3*a. Let j(d) = 4*d**2 - 2*d. Let o(n) = g*q(n) + 3*j(n). Let w(t) = -2*t. Calculate o(w(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - -4.89. Which is the nearest to 0.2? (a) 4 (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*z - 26, 21 = 3*u - z - 13. Solve -u = 12*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q - 295. Let v be h(11). Let k be 3 - (-1 + -4 + 6). Solve -z + 4*i - v*i + 12 = 0, -k*z + i = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let y be (15\/(-60) - 10\/(-8))*(-1 + -2). Sort y, -1, l, -4 in ascending order.\nAnswer: -4, y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 250 - 1907. Calculate the remainder when n is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**8\/140 - a**7\/105 - a**6\/90 + 6*a**3 - 29. Let x(t) be the third derivative of y(t). Factor x(p).\nAnswer: 4*p**2*(p - 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 856 or 904?\nAnswer: 856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*2 + 4 - ((sqrt(396) - (-1 + sqrt(396)))**2 + 5).\nAnswer: -2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7249779 - 7249779 - 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Suppose -4*u - 20 = -0*u - 3*j, 5*j = 20. Let k(w) = -7*w**2. Let d(x) = 266*x**2. Let o(l) = u*d(l) - 77*k(l). What is m(o(f))?\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2452 + -2453 - (-8 - (-1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*c**3 - 500*c**3 - 19*c**3.\nAnswer: -1245*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1649010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694252107.\nAnswer: 113, 23842939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2087 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - 0.02. Which is the nearest to 1\/4? (a) v (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348705582*x**4 + x**3 - 1900354*x + 38.\nAnswer: -4184466984*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 362164839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 436459610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + 2 + sqrt(2))*-6 + (sqrt(242) - -6*(sqrt(242) - (sqrt(242) + -2 - sqrt(242)))))*-1)**2.\nAnswer: -6816*sqrt(2) + 40904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86181?\nAnswer: 3, 23, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 5*u, -i = -u + 2*i + 6. Suppose 6 = -2*z, 3*c + 3*z - 3 - 42 = u. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 6\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*t = 4*r - 1482, 3*t + 2967 = 2*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba6b (base 16) to base 15\nAnswer: -e218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = k - 26, -6*o - 6*o + k - 264 = -248 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 152 = -488 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 34069217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, 0, -6 in descending order.\nAnswer: 0, -6, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2*m**6\/15 - 8*m**5\/5 - 4*m**4 - 35*m + 4. Determine k, given that i(k) = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, -28\/37, 0, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11053 - 198887\/18. Let o = 2\/9490239 + -347086510963\/75921912. Let l = -4562 - o. Find the common denominator of w and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + (2*sqrt(38))\/sqrt(2))*-2)**2 - (sqrt(228) + -3*(sqrt(228) + 1*sqrt(228)))\/(sqrt(1452)*-2).\nAnswer: -5*sqrt(19)\/22 + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15908, 31761, 47594, 63407, 79200?\nAnswer: 94973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -34. Let c(y) be the third derivative of 10835*y**4\/24 - 10*y**3\/3 - 5*y**2. Let q be c(t). What is q rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63461668 to the power of 1\/3, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-3) - 3 - 12. Let t = -7 - b. Suppose -t*i = -3*z + 21, 4*z + 2*i - 28 = -0*i. Calculate the remainder when 27 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14449*x**2 + 5*x. Let t(g) = -250531211*g**2 - 86694*g. Calculate -86694*a(i) - 5*t(i).\nAnswer: 14449*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1876)\/603*4095\/(-4459)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*c - 21 = -4*w + 9, 8*w - 9*w - 12*c = 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 102 + -1638d?\nAnswer: -1628b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -4 in decreasing order.\nAnswer: 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/((-8)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtzvvnt. Give prob of sequence vn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 82 = 10*r. Suppose -7*j + 10*j + 21 = 0. Let a(b) = -b**3 - 7*b**2 + 4. Let h be a(j). Calculate the greatest common divisor of r and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(((t\/((t**3*t)\/t))\/t)\/t)*(t**(-1)\/t)**(-4\/13))**(-3\/7) assuming t is positive.\nAnswer: t**(-180\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28249678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o. Suppose o = -3*p - 5*z + 132, -135 = -3*p + z - 5*z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-4) - (-170)\/68. Solve h + 7 = -a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 3, 308.19, 0, -3, -1, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0 - 13*w + 21*w + 1 + 6*w**2 - 10*w. Let z be b(3). Let x = 49 - z. Put -5, x, -2, -3 in descending order.\nAnswer: x, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-13 - -81 - -8 - 0)) + 11?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1.5, -0.5, 0.1?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1515*f + 5120515 - 5120515 + (-3*f + 4*f + f)*(-7 + 2 + 3) to z + b*f and give b.\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 + -4 + 32\/8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 28 - 26 - 21 - 118247*q**2 + 118250*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 9*q**2 + 1716*q - 12112. Calculate c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5eb + 5?\nAnswer: -5e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 22 - d + 1)*(0 + d + 0).\nAnswer: -d**2 + 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/10 + 1287*x**4\/5 + 1476121*x**3\/10 - 119169402*x**2\/5 - 48109568*x - 120641664\/5 = 0. Calculate x.\nAnswer: -1352, -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000139088 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 1. Let k be x(-1). Let p = 19 - 15. Let t(v) = -v**3 - 3*v**2 - v + 2. Let f be t(-2). Sort f, p, k in descending order.\nAnswer: p, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 7*f**2 + 18. Let p be o(-7). Calculate the greatest common divisor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 2*v + 2. Let x(n) = -6 + 5 + 7*n**2 + 4*n + 5. Calculate 5*o(d) - 3*x(d).\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*n - 75 = 25*c - 584*n, -30*c - 125 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-285)\/6*12\/(-15). Let h = w + 195. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**3 + 161*b**2 - 19*b + 23. Determine u(20).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 9*q**2 + 12*q - 17. Let o be v(8). Suppose c + 3*d + o = 0, -2*c + 3*d = -6 - 9. Let t = -3 - -8. Solve c = -2*j + t*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -319 - -710. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.8 and -2304.5.\nAnswer: -2300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18754, -37890, -57400, -77284, -97542?\n\"Answer: -187*s**2 - 18575*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (-2*(sqrt(77) + sqrt(77)*-1))\/(sqrt(252) + sqrt(252)*-2)))**2*-2.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v = 28*v. Let c(x) be the second derivative of 0*x**4 + 6*x + 0 + 1\/20*x**5 + 1\/6*x**3 + v*x**2. What is the second derivative of c(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f + 11. Let l(z) = -z**3 + 8*z**2 + 31*z + 11. Let c be l(11). Let b(o) = -8*o + 6. What is c*b(g) + 6*s(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*y**3 + 437691*y**2 + 4084969*y\/8 + 1191435\/8.\nAnswer: (y + 24315)*(12*y + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9\/8 (b) 5\/2 (c) -1\/77 (d) 0.355 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 6*j**2 - 5*j + 4. Let v be z(-5). Let a(n) = -n + 9. Let x be a(v). Let r = -6 - -9. Solve r*o = -2*q + 25, x*o - 20 = -0*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d5 (base 14) to base 5\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + x**3 + 27*x - 17*x - 2 to q*x + l*x**3 + t + r*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + 14*c**3 + 25*c**3 - 47*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 33*a**2 + 11*a + 1. Suppose 2*j - 7 = -13. Is s(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71261, 71254, 71247?\nAnswer: 71240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -2382.\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 4, 6, 0.4.\nAnswer: -1.8, 0.4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 54 = 159. Calculate the highest common divisor of u and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w**3 - 15*w**2 - 5*w + 378. Give a(0).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -521004755*k - 121994210 wrt k?\nAnswer: -521004755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 20*m - 38. What is the remainder when 78 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 7*u + 5. Which is the closest to 1\/4? (a) -3\/7 (b) -5 (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 9*s**2 + 43*s + 319. List the prime factors of u(-9).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*l + 2*l + r, 0 = -4*r + 20. What is the remainder when (0 - -2) + l - 4 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:16 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 38*v**2 + 916*v - 3224. Determine u(-27).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6))\/(40\/(-28)*161\/(-552)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (24\/48)\/((-1)\/(-4748))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3706)\/(-218) - (-537)\/(-30)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245641.668 rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-11)*(-18085 + 18052)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)\/f**(3\/20))\/(f\/(f\/(f\/(f**(-3\/14)*f)))*f*f\/f**(-1)) assuming f is positive.\nAnswer: f**(-977\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3144096163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ahdhhhahd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + -6 + -435*1\/45?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 66 + 27 = -155*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26821164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5268061 or 0?\nAnswer: -2\/5268061","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -450372 - 17?\nAnswer: -450389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 11. Let p = -211 - -90. Let r = 114 + p. What is x(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.07 (c) -3\/7 (d) 95995 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3640 and 929320.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6435, 6738, 7039, 7338?\nAnswer: 7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 20 = 4*a, 6*a + 20 = 2*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a decade in years?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 738, 1106, 1474, 1842?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, j: 4, i: 4, b: 6, z: 1}. What is prob of sequence qb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 12*m + 16 = 0. Calculate m.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {a: 2, j: 1, t: 1, v: 1, p: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43219 and 2318.\nAnswer: 45537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 34*d + 54*d + 26*d.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 834, 1183, 1540, 1947, 2446?\nAnswer: 3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 + 11.6. Let k(v) = 40*v**2 + 55*v - 520. Let y be k(3). Put y, 4, g in ascending order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1251 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.08 (b) 3\/4 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 22*k - 42 + 10*k - 46.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - 84. Let t(i) = i**2 - 11*i - 31. Calculate t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -4*v, -2*p + 0*p - 2 = -3*v. What are the prime factors of (2 - (5 + v))*(-9 - 10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + z = 9, -h = 2*h - 2*z + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 24*p + 1. Let s(x) = -x**3 + 11*x**2 + 1. Let t be s(11). What is m(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/15 and (121\/4)\/(40\/16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70.85780995112 - 139.\nAnswer: -209.85780995112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/(-10)*(-20 + 16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2219 (c) -0.4 (d) -1\/1462\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3 + (-4 + 2 + 3)*(8 + 0 + 0))*(4*k - 4*k - 3*k**4) in the form l*k**2 + c*k + i + o*k**4 + z*k**3 and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207.57 + 3.07. Let y = -204.4999127 - d. Round y to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m - 12. Determine v so that 4\/9*v**m - 16\/9*v**2 - 4\/9 + 4\/9*v**4 + 14\/9*v - 2\/9*v**5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 10*n - 7. Let c = 119 + -195. Let w = -512 - -428. Let a = c - w. Determine k(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 242.0943 and -33.\nAnswer: -7989.1119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 216 - 667 - 818 = -36*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((114\/(-18))\/(-19))\/((-36)\/486)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6018538\/7 at most as big as -859790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(5\/(-30)). Let b(a) be the first derivative of -5*a**2 - s + 6*a**2 - 3. Let g(j) = -6*j**2. What is g(b(v))?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17150488 is divided by 490?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d. Let y be q(1). Suppose h + y*h = 0. Suppose w + 4645 - 1445 = h. What is w rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 241*h**3 - 241*h**3 - 140*h**4 - h**4 - 4*h**4 + 3*h**4 + (-1 + 0 - 1)*(-3*h - 2*h**4 + 3*h) - 33*h**2 + 33*h**2 - 2*h**4.\nAnswer: -140*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 124\/(-60))*-6. What is the closest to -0.1 in 4, 1, m, -19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/856 or 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*(z*z**(-22))\/z)\/z)*z**15)**(-3\/23) assuming z is positive.\nAnswer: z**(-114\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2)*(-3)\/21. Let y be ((-73)\/(-15))\/((-42)\/5). Let h = n - y. Which is the smallest value? (a) h (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 5*f**5\/12 - 55*f**4\/12 + 85*f**3\/6 + 393*f**2 - 2. Factor d(u).\nAnswer: 5*(u - 1)*(5*u - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 121*j**4\/8 - j**3\/3 - 9*j**2 - 87*j. Let b(l) = 2*l**2. Give p(b(d)).\nAnswer: 726*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 24*v - 118. Let g be c(10). Sort -3\/8, g, -1 in descending order.\nAnswer: g, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 - 3*y + 1. Let z be c(-4). Let s = 2 - z. Calculate the highest common divisor of s and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 26 - 4. Find the common denominator of (-2)\/(-117)*(j - 20) and -56\/5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4023360673 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 528568?\nAnswer: 1057136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -75.8.\nAnswer: -76.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 7*w**2 + 4*w - 7. What is the units digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 1. Let z(i) be the second derivative of i**4\/12 + i**2\/2 + i. Let h be 6\/(9 - 3) + 1. Calculate h*z(p) - y(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*v - 3975 = 537 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4\/5422069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10037*h**3 + 3*h**2 + 3*h - 6. Let v(m) = 30112*m**3 + 8*m**2 + 8*m - 16. What is 8*q(x) - 3*v(x)?\nAnswer: -10040*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 11*j**7\/420 + j**6\/180 + j**5\/120 + j**4\/24 - j**3 + 6*j**2. Let o(m) be the first derivative of k(m). Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2100 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 20487*z + 7351860.\nAnswer: 3*(z - 6449)*(z - 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.847166 to 1 dp.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 2, 0, 2\/3, -12, 4, 1\/39?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3833522 divided by -146.\nAnswer: -26257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3 - 5665*k**2 - 2214*k + 13.\nAnswer: -30*k - 11330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -126, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 213*k - 6545. Is 49 a factor of y(122)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45043209*m**2 - 22521610*m**2 - 22521591*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/((r*r*r**(-2\/7))\/r*r*r))*r)**(-39)*r**(3\/2)*r**(2\/27) assuming r is positive.\nAnswer: r**(-68903\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*m**3 - 171*m**3 + 3*m**2 + 79*m**3 - 4*m**2 + 33*m.\nAnswer: 4*m**3 - m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1765*q - 346. Let r(s) = 3530*s + 760. Determine 11*f(i) + 5*r(i).\nAnswer: -1765*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 10:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, 13875, 0.2, 3, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3)*i*i*(i**(1\/16)\/i)\/i*i)\/(i**(-4\/19))**9)**20 assuming i is positive.\nAnswer: i**(1455\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -4, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) - (sqrt(85)\/(sqrt(5) + sqrt(125)))**2) - ((sqrt(1088) - sqrt(17)) + 3)*-4.\nAnswer: 451\/36 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/21)\/(2\/6). Suppose 3*t - 2 = -p. Find the common denominator of -1*117\/(-60) + t and 97\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4324398 - -6721565. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (((-42)\/(-8))\/3)\/((-3)\/(-48))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.148221616 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/4)\/(12\/112). Let y = v - 62. Is y <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -130. Let v(r) = -50 + 0*r - r + d. Let i(t) = -11*t**2. Determine v(i(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13043426381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*j - 176*j + 423*j + 658*j + 1890*j.\nAnswer: 2878*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 7*a**2 - 39*a**2)*(2*a - 3*a - a) - 2*a**3 - 2*a**3 + 3*a**3.\nAnswer: 99*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.02. Let f = 17786\/3 + -5932. Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/13 - 4068*o**3\/13 - 102650*o**2\/13 - 617700*o\/13 = 0.\nAnswer: -15, -10, 0, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892916 is divided by 288?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*p - 388 = -4*i, -158 = -2*i + 3*p. Suppose -4*n = 4*o - i, n + n - 84 = -4*o. Suppose -z + o = -10. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125450346 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*l**3*w**3 - 2*l**3*w**2 - 6*l**3*w - 21*l**3 + 2*l**2*w - 29*l*w - 888*w**3 wrt w.\nAnswer: -120*l**3*w - 4*l**3 - 5328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 21 - 6. Solve -23 = -2*w - 5*t, s*w + 7 = 2*t - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75070*o**2 - 75055*o + 15.\nAnswer: -5*(o + 1)*(15014*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - w + 1. Let g be x(2). Suppose -3*j + 9 = -3. What is the tens digit of (-4)\/(j\/g) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155356132 divided by 38839033\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8200*f - 4*y = 8200*f - 136, -4*y + 137 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.844103 nanometers to meters.\nAnswer: 0.000000000844103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035762051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229919071, 229919078, 229919085, 229919092, 229919099, 229919106?\nAnswer: 229919113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1511 = -5*x + 1229. Let r = x - 338. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21556069*a**3*g + a**2 - 2*a*g + 1097698*g wrt a.\nAnswer: 129336414*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.2. Let o = y - 3. Let j be (-4 - 72\/(-15)) + (-168)\/260. What is the smallest value in j, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 4. Let m = -7 - -16. Let y = m + -3. Calculate the least common multiple of y and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b\/(b\/b**(7\/5)))\/b*b)**(-17\/2)\/(b\/b**(5\/8))**(-1\/4) assuming b is positive.\nAnswer: b**(-5969\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 20*v**2 + 36*v - 37. Let i be m(18). Do -35 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32487 divided by 3?\nAnswer: -10829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (1*sqrt(80))**2) + -3 + sqrt(80) + (-1 + sqrt(80) + -1)**2.\nAnswer: -8*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/420 - i**5\/42 + 2*i**4\/21 - 13*i**3\/6 + 3*i**2. Let w(z) be the first derivative of d(z). Factor w(j).\nAnswer: -2*(j + 4)*(3*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 165 = l. Let u = -77 - l. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 29*f**4 + 293*f**3 - 1255*f**2 + 1950*f = 0. Calculate f.\nAnswer: 0, 5, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5605629cm?\nAnswer: 5605.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 35*y - 41. Let s(r) = -13*r + 14. Let i(j) = -11*s(j) - 4*u(j). Let q be i(6). Sort q, -3, -1 in decreasing order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)*a*a)\/a)**(-41) assuming a is positive.\nAnswer: a**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 804.\nAnswer: 31356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-29712360\nAnswer: 5942472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 3838, 15289, 38186, 76345, 133582?\nAnswer: 213713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let s = 4 - 6. Let x be 6\/27*-3*-21. Let r(o) = o**3 - 7*o + 8. Let j(w) = s*r(w) + x*z(w). Differentiate j(l) with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - k = 3*x - 6, 0 = -2*k + 5*x + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2002526 + -5?\nAnswer: 2002521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4353, -17364, -39037, -69372, -108369?\nAnswer: -156028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -370*p - 28. Let s be j(-5). Suppose 6*a - 3*a - s = -y, 0 = -4*y + 16. Suppose g + 807 = 4*t, -2*t + g = t - a. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/709932 and 59\/187422048.\nAnswer: 187422048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674 + 671 + 105*q + 690 - 2035.\nAnswer: 105*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 2\/15, 5, 2\/11, -4, 284?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -99. What is the lowest common multiple of 4 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 72750. Let c(d) = 22*d. Give j(c(o)).\nAnswer: 22*o - 72750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 6.7. Let t = -3.7 + z. What is the nearest to -2\/7 in 4\/9, 2, t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l**(-1\/4)\/l)))**(-1\/2)*l*l**(-6)\/l*l\/(l**(-5\/3)*l))**(15\/4))**(4\/9) assuming l is positive.\nAnswer: l**(-505\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-500)\/45*(-72)\/16. What is the highest common factor of 350 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 + 0*t**3 + t**3 + (2*t - 4*t + 4*t)*(-165*t**2 + 287 - 287).\nAnswer: -329*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*((-48417936)\/63 + (-10)\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8484294 rounded to 2 decimal places?\nAnswer: 5.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -25. Let m = w + -18.21. Let v = m + 0.203. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898535181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 + 0 - (1 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5732f6 (base 16) to base 14.\nAnswer: a8a874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b + 9. Let p be k(-7). Suppose p*o - 10 = 6. Suppose -j - 3*j = -o. Solve -4*n + n - w = 7, -19 = 5*n - j*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 4*w. Suppose -2*p + 20 = 6. Let a be r(p). Let v be ((-3)\/8)\/(1 - a\/12). What is the nearest to -2 in v, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/2 + 522*i**3 - 525*i**2 - 522*i + 1047\/2 = 0.\nAnswer: -349, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 + 28*d + 156. What is g(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.1 and 1427329134004.\nAnswer: 1427329134007.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:40 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.682, 0.5, 23, 15, 4?\nAnswer: -0.682","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/360 + 97*i**3\/6 + 152*i**2. Let v(q) be the first derivative of t(q). Let u(l) = -l. Calculate v(u(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 - 26*k**4\/3 + 2771*k**3\/6 - 28*k**2 - 48. Find the first derivative of d(n) wrt n.\nAnswer: 2*n - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 41*c - 165. What is n(-40)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**3*v**2*x - 31174*r**3*v*x**3 + 5*r**2*v**2*x**3 - 220*r**2*v*x**3 - 9*r*v*x - 2*v**2*x**3 wrt r?\nAnswer: -6*v**2*x - 187044*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 4:38 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433836 is divided by 3705.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(6\/7)\/q*q\/q**(-16))\/(q**9\/q*q*q*q\/(q*q*(q*q**9*q)\/q)))**(1\/5) assuming q is positive.\nAnswer: q**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*b - 2 - 2\/5*b**2.\nAnswer: -2*(b - 5)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4550533 - 5?\nAnswer: 4550524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 divided by -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3848342 + 4249*w + 3848342 as x*w + q and give x.\nAnswer: 4249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47464, 94927, 142390, 189853?\n\"Answer: 47463*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in -2, -0.4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42418.\nAnswer: 2, 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081 take away -83?\nAnswer: -1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2485 - 3541. Which is smaller: -1058 or p?\nAnswer: -1058","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19049 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234848414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = 55. Let j = u - -218. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y - 30. Let p(h) = -24. Let t(x) = -11. Let f(v) = -6*p(v) + 13*t(v). What is -30*f(b) - z(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75001412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(-4 + 3 + sqrt(72) + (-1*sqrt(72) - sqrt(72))*3 + -5))**2 + 2.\nAnswer: 1440*sqrt(2) + 7343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/14*(-2520)\/2880.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134358 by -914.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88))\/(sqrt(77)\/(sqrt(7)*-1)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 + 1167. What are the prime factors of q?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 9*a - 64 + 11 + 19 + 12 - 2*a**2.\nAnswer: -2*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6151 and -6?\nAnswer: 36906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is -34041412 (base 5) in base 6?\nAnswer: -10231023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (882\/343)\/(2620\/(-875) - (-2 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135588 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + g**2 - 3)*(27 + 7 + 7 - 6) as v*g + y*g**2 + o and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.59 - 1.41. What is the biggest value in m, 2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + l - 4 + (-138 - 107*l + 138)*(-5 + 6 + 5))*(9*l + 6 - 6) to the form k*l + i + h*l**2 and give h.\nAnswer: -5769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32654 + -15?\nAnswer: 32637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*c - 21 = 0, 3*d = 8*d + 5*c - 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3555 (base 6) to base 2\nAnswer: -1101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7548 - 1776. List the prime factors of u.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) -2\/15 (b) 2\/9 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 310 = -2*n + 2*v, -4*v = -16. Suppose -4*q - 3*m + 155 = 0, 68 + 82 = 4*q - 2*m. What is the remainder when n is divided by q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2*10\/4. Suppose 2*b + a = -0. Suppose 0 = 80*p + 28*p. Put p, b, 2, -1 in increasing order.\nAnswer: b, -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-72)*(-72)\/(-60))\/(207\/(-54))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 1. Let x be ((-4)\/8)\/((-1)\/30). Let a be (-129)\/15 + 9\/x. Let m = a + 6. Give r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 + 11*a**3\/6 + 12*a**2 + 633*a. Determine c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:37 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*b + 118, b - 5*r = 5*b - 99. Let z = b - 26. Solve 0 = -z*x + 3*u, -2 - 1 = 4*x - 3*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 7, -11, -4, 6078 in descending order.\nAnswer: 6078, 7, 5, -4, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6216 - -6234. Let f = 115 + -48. Calculate the remainder when f is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v - 2*v**2 + v**2 - 2 - 5*v**2 + v**3. Let g be m(6). Let c be (24\/(-20) + 6)\/(8\/20). Solve y = -g*l + c, 4*y + 3*l - 14 = 4*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1027? (a) -4 (b) 2\/15 (c) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:21 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71874 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 707+25.6\nAnswer: 732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 + 1012263?\nAnswer: 1012453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4. Let n(t) = -2*t + 1573. Calculate n(f(v)).\nAnswer: 2*v**2 + 1565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1303535 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 + 527\/(-186) - -5. Put 50, -1.7, u in descending order.\nAnswer: 50, u, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 41 = -b, 0 = -5*b + 5*p + 6 - 261. Let q = 85 + b. Suppose -q + 9 = -m. What is the lowest common multiple of m and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -5.5. Let q = -1.8 - -2. Let r = 8 + -8.06. Which is the biggest value? (a) q (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969970 (base 12) in base 3?\nAnswer: 101002122220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372 - -375. Let d(j) be the second derivative of 0*j**4 + 0 + 1\/10*j**6 + 3*j + 0*j**s + 0*j**5 + 3*j**2. What is the first derivative of d(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6112 rounded to 2 decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9969, 9934, 9899, 9864, 9829?\nAnswer: 9794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:09 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 9 = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 9*w + 5. Let y be g(5). Let q = y - -17. Is (4\/6)\/(q\/21) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46309 is divided by 610?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5524383 divided by 57?\nAnswer: -96919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 471467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1103 - 4?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t - 195 - 829 = 0 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 4) to base 8.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180240*p**3 + p + 0*p - 180237*p**3 - p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 88433 (base 9) to base 4\nAnswer: 32110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 79 - 41 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 <= -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 2)*(-3)\/12. Suppose 3*f = s + 5. Calculate the smallest common multiple of 11 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12388 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 31 = 2*l - 3*l, -l - 20 = -2*f. Suppose f*p - 12*p = 77600. Round p to the nearest one thousand.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3425*n - 3433*n = -13 - 10 - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -51*f**4 + 132*f**3 + 690*f**2 - 28164*f - 308655. Let m(x) = 9*x**4 - x**3 - x**2 + x. Let t(o) = 6*m(o) + z(o). Factor t(s).\nAnswer: 3*(s - 15)*(s + 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 53*a - 78. Let d(w) = w - 2. Let u(n) = 6*d(n) - r(n). What is the first derivative of u(l) wrt l?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 12 = 2*q, -2*q + 5*x = 20. Let g = -7 + 4. Put -1, q, g in decreasing order.\nAnswer: q, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 13*s. Let z be y(4). Solve 0 = -2*r - 4*o + z, 5*r - 2*o = -25 - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 49*b**2 - 2*b - 1. Calculate h(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -15 in descending order.\nAnswer: -4, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.262 + 0.14. Let p = i - 1.608. Round p to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let i = q + -1. Let t be i*(-13)\/(-2) + -2. What is the highest common divisor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 2. Let f be l(-2). Is (18\/(-4))\/(f\/64) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13*-3*1\/(-3). Let c(r) = -8*r**2 + r. Let i be c(-1). Let j = m + i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1248*f + 26420. What is h(21)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 5. Let d = 0 - 1. Let a(m) = -1. Let q(l) = d*t(l) - 2*a(l). What is the derivative of q(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t - 95*t = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 - (4 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 14*q + 10. Let x(s) = s**2 + 2*s + 12. Let o be x(0). Let i be l(o). Let a = i - 7. What is the highest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 4180 = -12*s. Differentiate 106 + s*r**2 + 13*r**2 + 111 - 135 wrt r.\nAnswer: 406*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -78*t + 77*t + 10, -10*t + 2*m - 90 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.5. Suppose 0 = 26051*u - 26029*u + 66. Sort -2\/29, w, 5, u in decreasing order.\nAnswer: 5, w, -2\/29, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/68709 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/70)\/(5\/35).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1893131.202 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 28 = 5*o. Let q(r) = 12*r + 7. Is q(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104451.\nAnswer: 3, 37, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -943 - -1192. Let x = f - 251. Let v be ((-6)\/(-10))\/(7\/5). Which is the second smallest value? (a) x (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 - 3*i)*(-5 + 2 + 4 + (-4 + 0 + 2)*(3 - 4 - 1) - 1 + 3 + 1 + 3 + 3 - 4).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-6))\/((-1)\/(-10)*-6). Calculate the remainder when 43 is divided by m\/((-10)\/(-52)) - 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 36*y**2 + 104*y - 132. What is the least common multiple of d(-39) and 300?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7610125 minutes in nanoseconds?\nAnswer: 45660750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 1. Let x be o(2). Suppose 0 = a - 5*y - 13, 2*y + x*y - 5 = -5*a. Suppose 0 = -0*u - a*u + 75. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**2. Let c(v) = -4 - 7 + 16*v**2 - 4*v - v - 17*v. Let o(u) = 3*u**2 - 4*u - 2. Let t(i) = 2*c(i) - 11*o(i). Calculate k(t(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -35495\/84, 6.5, -4 in ascending order.\nAnswer: -35495\/84, -4, -3, 6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**0)*o*o**(-1\/6))\/(o**0\/(((o**(2\/3)\/o)\/o*o)\/o)))**(-44))**49 assuming o is positive.\nAnswer: o**1078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - -4 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -2*g, -3*j + 967 = -5*g. Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134551 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:35 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 725*i = -722*i + 29041, -4*k = 4*i - 23252. What is the remainder when k is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -3 (c) 2 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 27*h**2 + 4*h + 779. Calculate o(-25).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 9 - (-45 - -39)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 198.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) + (2*sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132)))*6*-4)\/((-1*sqrt(24)*6)\/((sqrt(8)\/sqrt(2))\/sqrt(2))).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*g**3 + 61 + 100*g**3 - 61.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-768)*5328\/(-2520) and 91\/768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {n: 2, p: 1, e: 1, a: 4, m: 10}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - 2430\/126. Let f = 7 - 6.8. What is the third biggest value in f, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -12*w**4\/7 - 18*w**3 - 150*w**2\/7 + 108*w\/7 = 0.\nAnswer: -9, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - -3.2. Let i = -12\/7 + 22\/21. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/7 (c) 3 (d) 0.101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 - 2*j + 3. Let g(w) = -3*w**2 + w - 1. Let r be (-15)\/((27\/6)\/3). Let i be (-51)\/12 + (-2)\/(-8). Calculate i*b(c) + r*g(c).\nAnswer: 2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w - 3354 = -36*w + 120*w - 63*w for w.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2 + 152*z + 6. Calculate b(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:40 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m + 1. Determine j(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w**2 + 2*w**3 + 3 + 2*w + 3*w - 1. Let d be x(4). Suppose 2*p - d = 4*c, -5*p - 5*c = -8*c - 102. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/5 - 1184*u\/5 - 1183\/5 = 0.\nAnswer: -1183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 42.553\nAnswer: 21.2765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 4, 5, -577, 2 in descending order.\nAnswer: 111, 5, 4, 2, -577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 2 - 44\/(-10). Let j = -6 + 6.9. Let v = j + -0.4. Which is the second smallest value? (a) 2 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = -15. Which is the second smallest value? (a) 4\/3 (b) 3\/7 (c) -4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37204, -71658, -103354, -132286, -158448, -181834?\n\"Answer: g**3 + 1373*g**2 - 38580*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2841.171 to the nearest 10.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 9) in base 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.16 - -44.06. What is the nearest to -0.3 in 0.2, 4\/7, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*m - 10 = 0, -6*m - 5 = -m. Let l be (-7 - -19) + 1*-1. Suppose 3 = -4*w + l. Calculate the highest common factor of w and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h. Let i(x) be the first derivative of 15\/2*x**2 - 2*x + 68. What is i(c(j))?\nAnswer: -45*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 17 = 192. Suppose -w = -2*t + 7, -t - f = 2*w - 0*w. Is w less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.5. Let v = -4.57 - -0.57. What is the closest to k in v, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, -502, -5048, -13908, -28522?\nAnswer: -50330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-12*s + 10*s + 0*s - 115).\nAnswer: 4*s + 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + 9*y + 11. Let a be n(-1). Solve f - 2*o = 2*f + 1, a = 3*f - 2*o - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7539 and -7674 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -279? (a) -1\/3 (b) -0.5 (c) 0 (d) 0.6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254897201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.106, -25\/12, -2, -1, -0.209 in descending order.\nAnswer: 0.106, -0.209, -1, -2, -25\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -10. Is c greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*j + 5, l + 3*j + 33770 - 33778 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 788.373 to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**11*r\/r**(9\/2))\/((r*r**(11\/6))\/(r**10*r*r)))**(5\/12) assuming r is positive.\nAnswer: r**(125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, o: 2, x: 1}. What is prob of sequence oxn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/889 and 87\/5588?\nAnswer: 39116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3394 divided by 2?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (12 - 5 - 5) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1533753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2.1512747.\nAnswer: 6.4538241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -34.54. Let v = -0.4485 + r. What is v rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 17 + (-2 + 9 - 15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:19 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22493955056 and -72.\nAnswer: -22493955128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) + (-133092)\/(-10). Let j(k) = -81189*k - 2 + d*k + 447881*k. Let l be j(2). Round l to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304549 is divided by 589.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 15*v. Let p(q) = -34*q. Calculate p(w(o)).\nAnswer: -136*o**2 - 510*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42)\/(18\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22260 divided by -1590.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -241 - 532448?\nAnswer: -532700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 312887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9610663 divided by -4?\nAnswer: -9610663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1)**2 + -5 + 3 + 3.\nAnswer: -10*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 42676*x**3\/3 + 170680*x**2\/3 - 170672*x\/3.\nAnswer: 2*x*(x - 21334)*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + 2*a**3 - a**3)*(-9*a - 17294 + 3816 - 15*a + 26*a) as g*a**4 + c + i*a + z*a**2 + s*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599 - 314. Let z = w - 284.6. Which is the third smallest value? (a) z (b) 44\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1 - 2*u - 1\/2*u**2. Let r(c) = 2*c**3 + 56*c**2 + 53*c - 32. Let g be r(-27). Give q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 34.302, -1\/93?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, y: 3, k: 1}. Give prob of sequence ke.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 2*sqrt(153)*-5 - (sqrt(153) + 1 + 0 - sqrt(153)) - ((2 + sqrt(153))*-5 + 5*(4*sqrt(153) - sqrt(153)))**2.\nAnswer: -15401 + 573*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100111 - -101?\nAnswer: -10100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*t = -j - 6, -4*t = 12. Suppose j*q - 9 = -0*q. Solve -2*n + q*n + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 0*t**2 + 2*t**2. Let m(h) = -96*h + 4. Let a be m(-1). Let n(u) = -a*u**2 - 102*u**2 + 201*u**2. Give n(z(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -10 - 0. Solve 3*d - 24 = 3*n, -3*n + 14 = -i*d + 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9c - 792c5?\nAnswer: -78627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {w: 12, e: 1, i: 2, t: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1080\/(-675))\/(24\/(-5)) + 145\/(-525)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1550*h*l*o + 39*h*l + 33286*h*o + h + l wrt l.\nAnswer: -1550*h*o + 39*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-40)*-3)\/(13\/((-754)\/(-29)))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/10, -1, -2, -0.4 in decreasing order.\nAnswer: 2\/7, -1\/10, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928145 and 2768340?\nAnswer: 5365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/(-14) + 9\/(-9) and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**3 - 13*o**2 - 308*o - 971. Determine v(-3).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 0 + (-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*g - 57 = 0, 4*g + 82 = -5*y + 3. Let d = 17 + y. Solve -6 = -5*t - 2*j, 0 = t + d*j + 3*j - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**3 + 24. Let r(q) = -22*q. Calculate r(k(s)).\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4617 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from iiuuiiuiimmmuiimmiim?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)\/i)**25\/((i\/(i\/(i\/i**0*i)))\/i)**(-44) assuming i is positive.\nAnswer: i**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9937.747mm?\nAnswer: 9937747000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -90. Let t = -34 + l. Which is the nearest to 1? (a) t (b) -3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5789.\nAnswer: 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*l**3 + 9*l**2 - 51*l**3 + 4*l**2 + 7*l**2 + 4*l as k*l**3 + m*l + a*l**2 + i and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/95 - 36556\/(-10). Let p = -25684\/7 + u. Is -14 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 4*a + 2. Let d = 738 + -731. Let z(f) = 22*f**2 + 1. Let s(o) = -11*o**2 + o. Let n(w) = d*s(w) + 4*z(w). Determine 3*n(t) - 5*r(t).\nAnswer: 8*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -178, -305, -448, -607, -782, -973?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 675 and 225?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.1993.\nAnswer: 0.3986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**2 + 96*t + 15. Let l be j(5). Solve l*q - 42*q - 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -2. Let l = 5.7 + t. Sort 4, l, 3.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whtkkh. Give prob of sequence kwht.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**2. Let l(a) be the first derivative of 2*a**2 - 7. What is y(l(d))?\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-1 + 0 + 5)*(2 - 2 - 3*p)*(p - 2*p**3 - p)*(2*p + p - p).\nAnswer: 96*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2. Let n(o) = 1967*o. Give l(n(f)).\nAnswer: 7738178*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-621)\/(-828)*4*1\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*s - 2177*s - 144 = 76 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 2*j, 3*u + 2*u - 3*j + 14 = 0. Let i(n) = -n**2. Suppose -3*s + s = 0. Let g(q) = s - 3*q + 2*q - q - 1 - 3*q**2. Calculate u*g(v) + 2*i(v).\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdv when three letters picked without replacement from bbdv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -119380 to the nearest one thousand.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 41*g**4\/3 + g**3\/2 + 2*g**2 - 3*g. What is the units digit of k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1318530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -342*k**2 - 76*k + 114. Let c(r) = -62*r**2 - 14*r + 21. Let z(q) = 38*c(q) - 7*p(q). Let n(l) = 13*l**2. Calculate z(n(g)).\nAnswer: 6422*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(175) + -3)*4 + (sqrt(175) + 0)**2*-5*-3 + 0)*1.\nAnswer: 20*sqrt(7) + 2629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3634235.2\nAnswer: -363423.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118251 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.317264 rounded to two dps?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l**(-2\/17)))*l\/(l**(-2\/9)*l)*((l\/l**(1\/10))\/l)\/(l\/(l*l\/(l*l**4))) assuming l is positive.\nAnswer: l**(-4583\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 273974567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n**3 - 5*n**2 - 4*n. Let j be 27\/(-81) + 8\/(-3) + -1. Let z(k) = -25*k**3 - 11*k**2 - 9*k. Determine j*z(p) + 9*d(p).\nAnswer: -8*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -30023210?\nAnswer: -30023221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254.6 - 272.6. Suppose 10 - 30 = -5*h. Sort -3, h, -0.5, c in decreasing order.\nAnswer: h, -0.5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 503234 or 503236?\nAnswer: 503236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -188. Let c = 104.999868 + b. What is c rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 116, -0.3 in decreasing order.\nAnswer: 116, -0.3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let u = 2 - 1.4. Let z = u - 0.2. Put z, n, 4 in ascending order.\nAnswer: n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i = 0. Suppose i = 3*n - 2*h - 995, n + 0*h - 335 = 4*h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14 + 36*(-12)\/168\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**5 - 2*x**5 + 3*x**5)*(-11 + 16 + 20).\nAnswer: -50*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9278*z - 9279*z + 18558*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*l - 542*l - 9710 + 17469 + 39859 = 0 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-16 - 0) - (-6 + 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -222545 (base 9) to base 7\nAnswer: -1063055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11134*i**2 - 11555*i**2 + 509*i**3 + 430*i**3 wrt i?\nAnswer: 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) - -2*sqrt(352))*2*-6)\/(-3*((sqrt(99)*1 - sqrt(99)) + sqrt(99) + sqrt(99) + sqrt(99)) - (2*sqrt(99) - sqrt(99))*6).\nAnswer: 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -52, -138, -298, -556, -936?\n\"Answer: -4*a**3 - a**2 - 5*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128))**2 - (sqrt(32) + 5).\nAnswer: -4*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Suppose -9*o = -16*o + 49. What is the lowest common multiple of o and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:12 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306115 or 13775221\/45?\nAnswer: 306115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 24*w - 49. What is y(-8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.3 (c) 10 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/k*k)**11*k**(11\/3)\/k**(-1\/12) assuming k is positive.\nAnswer: k**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91, 150, 163, 112, -21, -254?\n\"Answer: -3*h**3 - 5*h**2 + 95*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 1, c: 1, g: 1, l: 1}. Give prob of sequence lh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f + 62*f - 30*f to the form z + m*f and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 2844*t**2 + 2793*t + 51237. Determine r(949).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*w + 51, 4*t = t + 2*w + 51. Let q(z) = 6 - 4 + 12 + 11*z. Let f(u) = 4*u + 5. Give t*f(p) - 6*q(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.95 + 0.05. Let o = -0.993 + -0.007. Let k = o - t. Which is the second smallest value? (a) 1 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174\/5 + 1541\/45. Let f be (20\/(-10))\/(10\/(-45)). Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -370192 + 648974. Suppose 12*b - 26*b = -o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/24 and 69\/416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17158, -17155, -17150, -17143, -17134?\nAnswer: -17123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 2*d - 20 = 0, t = 3*d - 15. Let n be 5*2*(-15)\/t. Let q be -1 - 2*3\/(-6). Solve q = 2*r - 1 - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(16) + sqrt(256))\/sqrt(8).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, 3.77, 4, -4\/21, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 2 = 70. What is the least common multiple of a and (-2)\/(((-8)\/18)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = -17. Solve h*j = -2 - 0, 4*k = 2*j + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 80 = 10*g. Let j be 8\/g + (-21)\/(-5). What is the derivative of 6*y + 3 + y - j*y - 1 wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/38 and (11 + -6 + 1)*6\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19666455\/(-180)*-3*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947.\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.9 + 8.3. Let y be (9\/(-12))\/((-36)\/(-32)). What is the closest to 8 in y, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/180 and (-2400)\/260*(-2)\/(-36)*2.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 17}. Give prob of sequence kc.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105496 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/32376 and -67\/1104?\nAnswer: 1489296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141608 is divided by 833.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-152)\/180 - 20\/(-45). Which is bigger: c or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1232313210?\nAnswer: 1232313211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9335327 millilitres to litres.\nAnswer: 0.0009335327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2)\/2 + -21. Calculate the lowest common multiple of -3*((-3)\/1)\/9 and -2*(c\/4 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/(-12))\/15)\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 237*q**2*x**3 - 373129*q**2 - 2566246*x**3 + 14*x**2 wrt q.\nAnswer: 474*q*x**3 - 746258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14088*n - 7117*n + 2928 = -u + 7039*n, 0 = u + 4*n - 168 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25549 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6556859 to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 5376?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12582976 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010100010101011 - 100?\nAnswer: -111010100010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 + -741739566\nAnswer: -741739570.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 100. What is the second derivative of -t*h**2 + 3*h - 15*h + 51*h wrt h?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235600 rounded to the nearest one thousand?\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12049093 to the power of 1\/2, to the nearest integer?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 101203232?\nAnswer: -101203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265556 divided by -9?\nAnswer: -265556\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 7*r**2 - 2. Let i be m(7). Let l be (i - -3)\/(1\/(-14)). Let c = l - -9. Sort 4, 2, c in increasing order.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - -36 - 47 - (-2 - -23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 2\/149, -0.4, 1, 5.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2 + 2*w + 4. Let g(t) = 3*t**2 - 2*t - 3. Let k = 69 + -28. Suppose 9 = l + b, -3*l - 5*b = l - k. What is l*g(v) + 3*i(v)?\nAnswer: 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31428.37 take away 1344035.8?\nAnswer: -1312607.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 68. Let n = -36 - c. Let l = n + -7. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/19)\/((f*f**25*f)\/f*f)*f\/f**(-8)*f**(-8\/3) assuming f is positive.\nAnswer: f**(-1172\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) -0.5 (c) -311 (d) 4 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5183, 20757, 46683, 82937, 129495, 186333?\n\"Answer: -4*p**3 + 5200*p**2 + 2*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(21\/(-4))*(1491\/355)\/(18\/110)?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 97. Suppose -4*s - j - 4 - 1 = 0, 2*j - 2 = -2*s. Let v be (-238)\/(-6) + (-14)\/f + s. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*q + 4)*(2*q - 3*q + 0*q + (-6 + 3 + 1)*(-q + 2 - 2) - 117*q + 9*q + 929*q) to x*q**2 + p*q + u and give x.\nAnswer: -1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 0 + 5. What is the common denominator of (-1)\/(15\/(-87)) - g and -85\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 - (-32)\/(-18). Let t = 217 + -216.8. What is the second biggest value in -0.06, t, b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 58.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -4)\/((-3)\/(-69)). Suppose 123 - r = 4*j. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 3103.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9010 + 118. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -614 (base 11) to base 5.\nAnswer: -10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:58 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**5 - 735*z**4 + 10435*z**3 + 150495*z**2 + 139320*z = 0.\nAnswer: -8, -1, 0, 27, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 59*h + 488. Give g(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 2*g + 3*g. Let j(v) be the second derivative of -29*v + 6*v**2 + 0 - 1\/2*v**3. Determine h(j(y)).\nAnswer: -6*y + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -63774 less than or equal to -191323\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s - 85. Let j be d(27). Suppose 2*q + j = 12*q. Calculate the remainder when 190 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*(-1)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5 + 11*v**4 - 11*v**3 - 59*v**2 - 36*v = 0?\nAnswer: -1, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1137258 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 16*w - 27. Suppose -5*y + 0*y - l = -90, -4*y - 4*l = -72. Let i be d(y). Solve i = -0*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 16, 30, 50, 76, 108?\n\"Answer: 3*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 1240.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52430 is divided by 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + o - 11 = c - 48 - 5, -97 = 3*c - 18*c + 4*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((-100)\/(-880)*4\/(-70)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2. Let l(b) = -77*b - 5. Let w(x) = -3813*x - 248. Let n(t) = -248*l(t) + 5*w(t). Give n(o(d)).\nAnswer: -62*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2 - -16 - 2 - 52\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 9*m)*(-52 + 99 + 96)*(-2 + 0 + 8 + (0 - 2 + 0)*(-5 + 2 + 2)) to q*m + i and give q.\nAnswer: -10296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose 3*i = -3*l - 2*l - 9, -x*l - 6 = 2*i. Let m = i + 3. Solve -n + 0*n - 2 = m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 4 + 25. Solve 0 = -a + 2, 0 = 7*s - 5*s - k*a + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (3 + 1 - 6)) + 10 - (2 + -59).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {p: 2, g: 3, o: 2, t: 2, l: 1, n: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6279 + 35*q**3 + 8*q + 0*q - q**2 - 6280 as n*q + b*q**2 + l*q**3 + d and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4329\/13*27 + 7 + -7?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185594967, -185594969, -185594971, -185594973, -185594975, -185594977?\nAnswer: -185594979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**6 - 6*k**2 - k**6 - 31*k**6 - 6*k**6 wrt k?\nAnswer: -6000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70874841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 180, 166, 128, 54, -68?\n\"Answer: -2*y**3 + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1027 - 1024. Let g(d) be the first derivative of 0*d**2 + 0*d**4 + 0*d**o - 9*d - 10 + 11\/5*d**5. Differentiate g(l) with respect to l.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (0 - (-63)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001011 - 10100111?\nAnswer: 101001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162982 by -162982.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**6\/120 - t**5\/60 + t**4\/12 - 2*t**2 - 2*t. Let c(s) be the first derivative of n(s). Solve c(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -41, -76, -127, -200?\n\"Answer: -p**3 + p**2 - 21*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by -1169\nAnswer: 480\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - p + 1, -4*p + 9 = -f - 4. Suppose -2*n = -5 - 5. Suppose -n*o + 3*o + 4 = 0. Solve -k + f*k = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26166621121*w**2 - 45940124*w + 20164.\nAnswer: (161761*w - 142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 110 = 0. Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 + 2*s**2 - 6*s - 18. Calculate the least common multiple of w(-2) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/60 - s**4\/12 - 2*s**3\/3 - s**2 - s. Let t(w) be the first derivative of b(w). Does 10 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.53 (c) 2\/31 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.5 - -22. Let t = y - -6.17. Let d = t + -0.6661. Round d to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*a, -22*a + 18*a = -4*k + 96. Let i(v) = v**3 + 11*v**2 + 18*v + 9. Calculate the remainder when i(-7) is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 42. What is the remainder when (-8)\/d + (35 - -12) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -15. Let i be (7 - (k + 3))*3. Suppose 3*q - 22 = 5*j - 3*j, -2*j - i = -4*q. Solve -2*s = -0*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - 475 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996297?\nAnswer: 1996297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6539724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose 0 = -4*x + a + 7, -n*x - 37 = -8*x - 5*a. What is the second derivative of -10*l**4 - 2*l**3 + 3*l**4 - 2*l + 2*l**x wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19787*j + 49 - 49.\nAnswer: -19787*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -4.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635367?\nAnswer: 3, 211789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167196382 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + 0) + -4.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**3 + g - 2. Let f be t(1). Suppose 5*y = -9 - 1, f*b = -4*y + 63500. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 72, 1.\nAnswer: -5, 1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 865543 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940 is divided by 970.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 23 = 3*k, -5*w = -8*k + 7*k + 26. Suppose -2*i - 3*b - b = -20, -4*b = -16. Let t(m) = -2 - 2*m + 3 + i. Let g(f) = 1. What is k*t(d) - 4*g(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 211*k**2 - 3*k + 1. Let p be f(1). Are 209 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*q - 172*q - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 910 or 905?\nAnswer: 910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.63818 nanograms in grams?\nAnswer: 0.00000009363818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -0.53?\nAnswer: 2.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 759.322951 - -0.24481\nAnswer: 759.567761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -221\/43?\nAnswer: -221\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -466 + 468. Solve 0 = 6*c - r*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 63, 154, 315, 570, 943, 1458, 2139?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592457 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.0192 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 78 - 166 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1\/4, -0.2, -3\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 10*v - 18*v. Suppose v*k - 14 = -3*k. Suppose 5*x = h + 18, 0*h + h = k. Solve 4*i - d = -x, 0 = -2*d + 3 + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 730c - b?\nAnswer: 7301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11857\/9 smaller than -5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2798446, 5596882, 8395304, 11193706, 13992082, 16790426, 19588732, 22386994?\n\"Answer: -y**3 - y**2 + 2798446*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-167 - -195) + (-1 - 48)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 10 = p, 15*v + 18 = 5*p + 16*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((4 - -1) + -31 + 24 + -11 + -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6012 - 5983. Solve -38*n + t = -47 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063165 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*3\/3*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15336*m**2 + 8480*m?\nAnswer: -30672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 3*k**4 - k**2 + 3*k**4 - 3*k**4 - 4*k - 21*k**3 in the form f*k + v*k**2 + x*k**4 + w + r*k**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 12 = 5*a, 13954*a = 13958*a + 2*v - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6141 and 1801182.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/57700 and -119\/10.\nAnswer: 57700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32573375, -32573377, -32573379?\n\"Answer: -2*q - 32573373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 4*w - 9. Calculate n(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 2507710?\nAnswer: -2507714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) -5 (c) 220 (d) 746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 29*d - 12. Let u(b) = 7*b. Give u(c(t)).\nAnswer: 7*t**2 + 203*t - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 14. Let t(b) = 8*b - 15. Let z be t(k). Solve 0 = -o + p + 3*p - 16, -4*o + z = 5*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -49, 4 in descending order.\nAnswer: 4, -49, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515081241 to the power of 1\/2, to the nearest integer?\nAnswer: 38924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) - (sqrt(2) + sqrt(2)*2)*-3)*-2 + 2 + (sqrt(19) + (sqrt(38)\/sqrt(2) + 5)**2 - (sqrt(171) + 1)) + -2 + -2.\nAnswer: 39*sqrt(19)\/5 + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*k - 82*k = 15*k + 70 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 1, -2\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -0.2 (c) 283 (d) -0.5 (e) 2\/15 (f) 2\/3 (g) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95397093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {p: 1, f: 1, t: 5, w: 4, u: 2, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-207)\/(-6) + -2274 + 2269\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 4. Let d(k) = k**2 + 5*k + 10. Let v be d(-9). Let n = 43 - v. Calculate p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 3*l**3\/2 - 5*l**2\/2 - 8*l. What is the first derivative of q(a) wrt a?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8392.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6598 divided by -1\nAnswer: 6598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 201*k\/7 + 414\/7.\nAnswer: -3*(k - 69)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76381 + 25?\nAnswer: -76357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i - 6. Let r be f(-3). Suppose r*y - 43 = -7. Solve n - y*n = 5*o - 10, 4*o + 8 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*l + 2*l + 1, 11 = 3*b + 5*l. Suppose -8*k + 18 = -b*k. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61624*q + 23386*q + 26027*q to w + i*q and give i.\nAnswer: -12211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2) + (-2)\/2. Let m = j - 7. Calculate the remainder when 4 is divided by -2*10\/m + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4177672?\nAnswer: 2, 53, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjtjjrjt. What is prob of sequence rr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 - 18*r**2 + 9*r**2 + 6*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(44) + -2*(sqrt(13)*2)**2 + (3 + sqrt(13)*-1 - (0 + (sqrt(13) + (sqrt(26)\/sqrt(2))**2 - sqrt(13)))).\nAnswer: -114 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216135\/(-6)*(-1452)\/1210?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/72 and -37\/1040.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 4*j + 9. Let u be f(6). Let r = u - -28. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**42\/j)\/j)\/j)\/j)**(-1\/15)*(j**7)**(1\/30) assuming j is positive.\nAnswer: j**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (768\/1664)\/(4 - (-30)\/(-12)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 24*c + 41. Let b be m(-23). Let w = b + 60. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76338225 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160908*s**4 + 61167*s.\nAnswer: -1930896*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1043827 smaller than -1043828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 4*t = 3*u - 23, 20 = -5*u - 5*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 - 46*b**2\/3 - 127*b\/2 - 48.\nAnswer: (b - 96)*(b + 1)*(b + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 4*i**2 - 4*i - 4. Let m be o(-4). What is the units digit of (-3)\/((-7)\/(28\/m))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c + 5. Let y(w) = -w. Determine y(k(g)).\nAnswer: 22*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * 8\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 9 - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let z be b(3). Suppose 4*f = z + 7. What is the third derivative of -f*p**4 - 2*p**2 + 3*p**4 - 3*p**4 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.442 or -492?\nAnswer: -0.442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*(x\/x**0)\/x)\/x)\/x)**(-19)\/(x**(-3)\/((x\/(x**(-3)\/x))\/x))*(x\/x**(-1))**(-49)*(x**1)**(-2) assuming x is positive.\nAnswer: x**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-6) + -4 + (-255)\/(-9). Let w be 33\/y + 3*3\/(-9). Sort w, 19, -3\/2, 1 in descending order.\nAnswer: 19, 1, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884251 is divided by 127?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253.91 + -254. Is a > 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673*r - 678*r + 50320 = 0. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = 10. Let x(r) = -2*r + 1. Let h be x(-4). Let i = g + h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/3 + 17\/6. Let y(d) be the second derivative of -1\/12*d**4 + o*d**3 - 3*d + 0*d**2 + 0. Suppose y(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.111 + -1.111. Which is the smallest value? (a) 0.4 (b) 5\/3 (c) f (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 12600*z**2 - 12914735*z - 12927330 = 0. What is z?\nAnswer: -3302, -1, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 420\/(-75) + 9\/15. Let x = 182 - 267. Calculate the lowest common multiple of 7 and (-52)\/c + 34\/x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 77. Which is smaller: l or -89?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + c2a993?\nAnswer: c2a98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbdnnlnnlnnb. Give prob of sequence dbbn.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/21)\/(2\/15). Suppose 0*h - 55 = -z*h. Suppose 3*k + h = -m, 2*k + 14 = -0*m + m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72680 and 94484?\nAnswer: 944840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7*z = 4*z + 13, a + 4*z = 9. Suppose 0 = -2*u - 3*u + 10. Suppose i = -u*i. Sort 4, a, i in descending order.\nAnswer: a, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.601*-14.\nAnswer: -8.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2063, -4219, -6347, -8447, -10519, -12563?\n\"Answer: 14*l**2 - 2198*l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1. Let k(l) = 4*l**2 + 2*l - 7. Determine -k(n) - 6*v(n).\nAnswer: -4*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4042\/3, -1\/11, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11009913*s**3*y**5 + 5582*s**3 - 68*s**2*y - 5*s*y wrt y?\nAnswer: -220198260*s**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17336 - 8204. What are the prime factors of n?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -118, 1 in ascending order.\nAnswer: -118, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1489 + 5*h - 431 - 661 + (-3*h + h - h)*(4 - 3 + 0).\nAnswer: 2*h + 397","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2*q*q))**36*(q**5\/q)\/(q**0*q) assuming q is positive.\nAnswer: q**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 125 = m, 2*c + 0*c = m - 139. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = d - 6*w + 10*w, 5*d + 27*w - 94 = 73 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109755, -438849, -987339, -1755225, -2742507, -3949185, -5375259?\n\"Answer: -109698*o**2 - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 233*x - 1584. Give y(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Let h(i) = 4*i - 1. Let m be h(j). Suppose q + 4*k - 27600012 = -m*q, -k - 6899997 = -q. What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p + 14*p - 12*p + (3 - 6 + 2 + 3 - 2 - 3 + (-3 + 1 + 3)*(-2 + 5 - 4) + 3 - 4 + 3)*(-p + 0*p + 2*p))*(0 + p**2 + 0).\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 2}. What is prob of picking 3 t and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 6*k**3 - 4*k**2 + 18*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -269*t + 6464. What is u(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 3*d**2 + 28*d - 2*d**4 + 4*d**2 - 1 - 51*d as b*d + s*d**4 + c + i*d**3 + a*d**2 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -445098 divided by 14358?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:24 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 4. Let z be (6 - 2)*2*3\/4. Let q be (25\/6 - 3)\/(1\/6). Suppose q*a = -s + z*a, 3*s + a + 10 = 0. Determine c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 35 = -24*u - 5*q, -5*u = -3*q - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112610038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120 - -163 - (-15 + 7 - (0 + -4 - 1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92031860 is divided by 4631.\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -8)*3\/9. Suppose z - 5*o = -f, 3*z = -4*o - 0*o + 89. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.5 + 18. Let s = 0.4 - 0.32. Let x = 130 - 132. Which is the closest to 1? (a) k (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.0445 (c) 643 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaarlagddgddd. What is prob of picking 2 a and 2 d?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216650611411.1 - 216639632965.0999896. Let g = k - 10978461. Let a = 15 + g. What is a rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.68716672 rounded to two dps?\nAnswer: -3.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j + 3*m, 0*j + 2*j - 12 = 3*m. Let u(o) = -o**3 + o**2 - 18. Give u(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 20*s**2 - 146*s - 278. Determine o(26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17249, -34514, -51787, -69062, -86333?\n\"Answer: v**3 - 10*v**2 - 17242*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 9*k**2 + 7*k + 6. Let a be g(8). Let b be (-5)\/a + 3\/6. Solve -3*r - 13 = -b*i + 5, -r - 1 = 4*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 38. Calculate the least common multiple of 2 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0 + 0)*(3*m + 0*m - m) + 6*m**2 + 25*m - 3*m**2 - 9*m to the form i*m + o*m**2 + s and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 25 = -1. Suppose -q*u = k - 262, 0 = 4*u - u - 4*k - 404. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let f be q(-3). Suppose -9*a + 22 = -8*a. Let t = a - f. Solve 0 = t*l - 5*i - 15, 3*l - 4 = 4*i + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/9054612 and -61\/882.\nAnswer: 9054612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2 = -14. Let b(c) be the second derivative of 3*c + 1\/12*c**4 - c**m + 0 + 0*c**3. What is the first derivative of b(o) wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 - 64257016*c**3\/3 + 688160727042052*c**2 - 8257927953420448*c\/3 + 8257927696392392\/3.\nAnswer: (c - 64257014)**2*(c - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10231 (base 10) to base 11.\nAnswer: -7761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10)*-2 + 4. Suppose g*v - 5 - 1 = 0. Let b = -0.141 - -0.141. What is the second smallest value in b, -1\/5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d = -111*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*n - 3333 - 5115 = 548*n. What is the greatest common factor of 13632 and n?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001101001110000 (base 2) in base 5?\nAnswer: -32101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 136 - 80 - 57 + o**2 + 27*o**3 - 2*o**4 as f*o + r*o**4 + z*o**3 + a*o**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -82*f + 40*f + 1 + 40*f - 1. Let g(j) = 48*j**2. Calculate a(g(b)).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -1, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 66*n**3 + 20*n**2 - 34*n - 13. Let s be f(2). Calculate the highest common factor of s and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*q**2 - 132*q - 65*q - 99*q**2 - q**3 - 2 - 290*q as r*q**2 + i*q + y + m*q**3 and give i.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.53 and -3.4.\nAnswer: 1.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -145, -28, -1, -3 in ascending order.\nAnswer: -145, -28, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2336 + 2337. Is t less than -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75261939.\nAnswer: 3, 1361, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 78004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 5*g + 15, 2*g - 6 = 5*y. Suppose w - 4 - 11 = y. Find the third derivative of 2*t**2 + w*t**5 + 3*t**2 + 3*t**5 - 10*t**5 wrt t.\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:27 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22161422.\nAnswer: 2, 61, 373, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1989511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - 8 - (111 + -93)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -7) - (-11 + 14 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -2\/7, -0.8, -7, -51\/5, -4?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9245 is divided by 3041.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 + -59 + 34 + 12 + -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 4*i**2 - 3*i - 2. Let n be l(-2). Suppose 45 - 221 = -2*m - 4*u, -u = n. What is the greatest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, y: 4}. Give prob of sequence ybyb.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -332898, -5.\nAnswer: -332898, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 16*j**2 + 8*j - 1. What is the hundreds digit of b(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c + 28. Suppose -c = 2*r + 35. Let s be 3\/(-2)*2\/r. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + w - 21, -2*w = j + 13. Let f = -0.2 + 0.4. Sort j, 3, f.\nAnswer: j, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/13, -1\/2, 3\/8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -0.11?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 28, 64, 124, 214, 340, 508, 724?\n\"Answer: u**3 + 3*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 630009531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445350661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 13*j**2 - 17*j - 115. Let o be n(-13). Let p = o - -781. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3393971 is divided by 130.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*84\/(-210)*(-6 - -6). What is the closest to 1 in 5, -122, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5549 = -2*z + 1081, 9943 = 3*z - 4*d. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p + 6 + 12 + 0*p - 5 - p**2. Let k be t(-8). Sort 51, 3, k.\nAnswer: 3, k, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l + 4 - 4)*(l**2 + l**2 - 3*l**2) - 4*l**3 + 3*l**3 + 0*l**3 + (-l**2 + 0*l**2 + 2*l**2)*(-2*l + 4 - 4).\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -10, p = 2*l - 2*p. Let j(a) = 6*a**2 + 3*a - 3. Is j(l) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 49. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3318, 6566, 9814, 13062, 16310?\n\"Answer: 3248*o + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/2 - 37*o**3\/2 - 146*o**2 + 2240*o + 15744 = 0. Calculate o.\nAnswer: -8, 12, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4114687, 4 in descending order.\nAnswer: 4114687, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*s + 4*w - 271, 0 = 2*s + 2*w - 102. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(3\/2)\/3. Suppose -6*c + 64 = m*c. Let l be ((-12)\/(-27))\/(4\/18). Solve -c = 2*i + 4*b, -l*b - 3 = -b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2102610 - 175\nAnswer: -2102785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3934 + -3931. What is the biggest value in -2\/11, d, 1\/3, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45936088 = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 5*u = 0. Let y = u - -3. What is the third derivative of 4 + 2*c**2 + 5 - c**y - 9 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a century in months?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 7*j. Let y be s(-4). Suppose 5*i - y = -3*k + 54, 0 = -k + i + 46. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 967 or 969?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 - ((-9 - -12) + 18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.003, -0.1, -1\/4, -0.4?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12663)\/216*(-30)\/120*32\/28.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + ((-3)\/3 - 0). Suppose 0 = -s - 3 - 1. Find the common denominator of (1\/m)\/(s\/(-111)) and -85\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/9, -2, 13, -0.4, -7 in increasing order.\nAnswer: -7, -2, -0.4, 16\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*x + 36. Let p be -1*(-2 - (-10)\/x)*0. Solve -i = 2*c - 4, 5*i - c + p*c = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4613*x + 1308. Is w(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1 - 6*b - 4 + 3 - 3. Suppose d - 23 + 16 = 0. What is the remainder when m(-6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - ((28 - -1 - -21) + 6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:13 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) -0.4 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = -35. What is the smallest common multiple of 4 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4 - 28*n**3 + 1686. Factor c(u).\nAnswer: 4*u**2*(u - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 10. Suppose 0 = v + 4, 2*v + 128 = p*o - 3*o. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/16, 6, -2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -128 (b) 1.4 (c) 4 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 230b8a?\nAnswer: 230b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -30*n**2. Let y(r) = 33*r**3 - r**2 - r + 3. Let h be y(1). Let f(o) = -5*o**2. Let x(c) = h*f(c) - 6*d(c). Let z(q) = -q**2. What is z(x(g))?\nAnswer: -100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {x: 3, g: 2, e: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 36 = -4*o. What is the third derivative of -53*t**4 + 40*t**4 - 11*t**2 + 37*t**o wrt t?\nAnswer: 576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) 4 (b) 5 (c) 0.5 (d) -0.24 (e) -11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 7*h + 7*h + (-254*h**3 + 200*h**3 + 312*h**3)*(-4 + 0 + 1) to n*h**3 + g*h**2 + r*h + f and give n.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let b be n(4). Suppose a - 7 = b. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -2\/7, 911?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/15)\/(-4)*-2)\/((-708)\/12390)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -2, 0 = 2*s - 5*a - 32. Let u(j) = -5 + 221*j**2 + j + 0*j - s*j. Is u(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1297 = 5*v - 678. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 + 207. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 45, 49.4, 4?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67817042.\nAnswer: 2, 19, 1784659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*c - 92 = 4*c, 3*p - 5*c = -61. Let j be 4\/p - (-2)\/11. Which is smaller: -2\/31 or j?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -37*m**3 - 10*m**2 - 5*m + 117. Let r(j) = 38*j**3 + 8*j**2 + 4*j - 119. Let f(o) = 4*n(o) + 5*r(o). What is the derivative of f(w) wrt w?\nAnswer: 126*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 41*a**3 + 6*a**2 + 123*a - 783. What is the tens digit of s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i + 7*i + 107 + 63 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427610 divided by 85522.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -403 in 2.2, -0.5, 284?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 9*j - 1 = c, -2*c = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 - 2*y - 7. Let x be a(5). Suppose -6*s + 7*s = 2. Suppose 131*j + 1377 = 510*j + 80*j. Solve 5*i = -4*r + x, -r - i = -s*i + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.612 + -5045.388. Let i = b + 5046.99896. Let p = i + 5. What is p rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31\/3? (a) 2 (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*h + 8 + 19, -h - 2*b + 2 = 0. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36367 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3831.\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-2)\/(-4)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 56 - 32. Suppose 3*i - 1 = 2*i, -i = -5*b + w. Solve -b = -t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-9))\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a - 30. What is b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let s be j(-7). Let b = 146 - 142. What is the highest common factor of s and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xggxg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.65 - -0.29. Let z = u - 3.64. What is the closest to 2\/5 in 2\/15, z, -0.05?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhahaiiixxgagi. What is prob of sequence zx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740 and 220?\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433100314400 - -4?\nAnswer: 1433100314404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 24818436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65269727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3809206 from 848304.\nAnswer: -2960902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -4. Put g, -4, 1 in decreasing order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 1. Suppose -3*j - 6 = 3*d + 27, 3*j = -12. Let z = -22 - -24. Let n(t) = -4 + 0 + z + 4 - 4*t. What is d*w(i) + 3*n(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/((-9)\/61))\/(40\/(-24)) and -9\/109.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/417 and -65\/12?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 20*p**2. Let i(l) = 3*l. Calculate i(k(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 2*b - 135 - 10*b)*(-6*b**2 - 11*b**2 - 22*b**2).\nAnswer: 468*b**3 - 39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2054 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t + 9. Let f be 14\/6 + (-1)\/t. Let l be -39*(-4)\/48*4. Solve -f*o = 2*p - 4, -p + 0*o = -2*o + l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11313312313 (base 4) to base 11.\nAnswer: -961726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*d + 5480 = -1438 + 133 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 127*v**5\/10 + v**4\/12 - 8*v**3 + 7*v**2 + 135*v. Find the second derivative of y(w) wrt w.\nAnswer: 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*r + 20, 31*a + 3353 - 3309 = -9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*q**3 - 10*q**2 + 554*q wrt q.\nAnswer: -144*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Let m(t) = -4*t - 39 + 39 - 9*t. Calculate m(j(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6594\/191, 0.11, 4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -169015, -1, 4, 0, -1\/4?\nAnswer: -169015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153108849?\nAnswer: 3, 37, 1379359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4774.08 - 5039. Let n = y - -0.92. Let j = 264.000347 + n. Round j to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:38 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 11\/((-44)\/24). Solve 5 = -j*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 3*m - 7*m + 2 + m - 2 - 2*m + 3*m - 2*m - m + 1 - 1 + m + 2 - 2 + (3 - 3 + 2)*(m - 3 + 3) + 3*m + 3 - 3.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 8:07 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.76 + 3.76. What is the second smallest value in 1\/36, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - -1 - (-2 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27041*h**2*l**2*o - h**2*l**2 - 21378*h**2 - 2*l**2*o - 2*o wrt o.\nAnswer: -27041*h**2*l**2 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:55 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -8, 0, 306 in ascending order.\nAnswer: -8, -4, 0, 6, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 11 + 6 + 2 - 2 + 1 - 2 + 5 - 2 + (4 - 2 - 3)*(-1 + 1 + 2) - 1 - 1 + 4 + 0 + 0 + 1 + (1 - 3 + 3)*(2 - 5 + 2))*(0*x**3 - x**3 + 6*x**3).\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -152.\nAnswer: -3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((66\/27)\/(-11))\/(132\/(-27) - -5)*13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*i + 15 = 0, -o = 2*o - 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s**2 + 3*s + 3. Let g(o) = 2*o**3 + o**2 - 2*o - 4. Let h(n) = 5*n + 79. Let p be h(-15). What is p*l(b) + 3*g(b)?\nAnswer: 2*b**3 - b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -10, 7*c - 9*c - 29 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6*(-3)\/(-9))\/(36\/(-378)))\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3573749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, 134, 31 in decreasing order.\nAnswer: 134, 31, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2. Let x(l) = -25*l - 7. Let z(s) = -5 + 26*s + 28*s - 140*s + 31*s + 30*s. Let w(r) = -2*x(r) + 3*z(r). Determine w(k(u)).\nAnswer: 50*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6510 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*p**3*y**3 + p**3*y**2 + 13*p*y**3 - p - 3 wrt p.\nAnswer: -1038*p*y**3 + 6*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 487217645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 54. Suppose b*i - 45*i + 29608 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 21, 4975*r - 19 = 4972*r - 4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -0*s + 5*s, 3*s = 2*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -424. Find t, given that t - 555*t**3 - 2*t**2 + 3*t**2 - 3*t**2 + 556*t**o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 5, d: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6851, 6858, 6863, 6866, 6867?\nAnswer: 6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l**(-1\/6))**(7\/5)\/((l\/l**(-7)*l)\/l**(-1\/2))**47 assuming l is positive.\nAnswer: l**(-1339\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + (0 - ((15 - 22) + 7 + -20))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/7, 5, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.06 (c) -222 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34321 is divided by 1493?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 - 5*z**2 - 2*z + 4. Let i be h(-4). What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 872*x**4 + 195256*x**3 + 2249760*x**2 + 6656400*x.\nAnswer: x*(x + 6)**2*(x + 430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21403 * -39.09.\nAnswer: -836643.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85236 * 2.3.\nAnswer: 196042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*g - 87*g = 45*g - 6385068. List the prime factors of g.\nAnswer: 2, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/327 + -212\/981. What is the second smallest value in 0, -10, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98548406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13195 - 13194.7. Which is the smallest value? (a) s (b) 5\/4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + -4 + 0 + (-3 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3480, 3477, 3474, 3471, 3468, 3465?\n\"Answer: -3*h + 3483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 716 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5058423428?\nAnswer: 2, 19, 66558203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 91\nAnswer: -37\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.219554ns in hours?\nAnswer: 0.000000000020338765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykkeekykekeeeeykk. What is prob of sequence eyke?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 3 = 28*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2774 + 131 = -4*i, 0 = i - 2*w - 658. Let x = i - 470. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -697.6106264 + 5.6226864. Let o = 698.988 + k. Let a = 7 - o. Round a to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a + -10?\nAnswer: 20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 305256946 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a2 (base 13) to base 8.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72584.2666 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from plzllpntbnzl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 4)*1 - 22. Let m = y - -14. What is the biggest value in -2\/5, -8, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186.4 and 0.15595.\nAnswer: -29.06908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 2. Suppose 0 = 29*v - 30*v. Suppose -7*b - 2 - 19 = v. Give l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k = -59*k - 71*k - 3210 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -15.3. Let b = 8.4 + h. What is the fourth smallest value in 1, b, -4, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6)**15 assuming z is positive.\nAnswer: z**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/22*(-68 + 79)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52004 (base 6) to base 13.\nAnswer: -31c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177.4 - -177. What is the smallest value in 0.3, 2, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -828 + 827.99261. Round g to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 7216 = -12*j + 2*r, -4*j + 9623 = -r. What is the remainder when 7218 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let a(r) be the third derivative of 1\/24*r**4 + 0*r**3 + 0*r - 2*r**2 + 0. What is f(a(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15327 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3178222 and 2240386.\nAnswer: 136663546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4687.03 + -3388.\nAnswer: -8075.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/7 - 2514*f**4\/7 - 146458*f**3 - 147693038*f**2\/7 - 6839263440*f\/7 + 6987984200\/7 = 0.\nAnswer: -514, -115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 7*f + 11. Let l be i(5). What is the units digit of ((-4)\/10)\/((3\/(-1425))\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -985 or -48591?\nAnswer: -48591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97849458 divided by 2?\nAnswer: 48924729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 13*m**2 + 3. Let i be s(13). Suppose -v + 90 = i*r, -2*v + 81 = -2*r - 83. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*s + 692, 822 = 4*f + 4*s + 262. Suppose 3*y + 46 = f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135328133.\nAnswer: 53, 757, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*x + 786*x + 78 = 9*i, -4*i - 4*x + 8 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 + 3*y. Let m(t) = -t**3 - 10*t**2 - 4*t. Let i(z) = -3*m(z) - 4*s(z). Find the third derivative of i(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -9, 4, 2.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 1, -p + 3*p = -2*l + 14. Suppose -5*q - 12 - l = 0. Let o = 11 + -11. What is the third smallest value in o, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -946.4145 + 939. Let b = -7.4 - w. What is b rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(26\/8 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.01 - 37. Sort g, 3, -1\/2 in ascending order.\nAnswer: -1\/2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 - 40*t**3 - 125*t**3.\nAnswer: -176*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/170 - m**4\/34 - 14*m. Factor z(v).\nAnswer: 2*v**2*(v - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1 + (0 - 16). Let k = -8 - g. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 7*y**2 + 7*y + 6. Let u(p) = 8 - 8*p + p**2 + p - p. Let d be u(6). Is 13 a factor of j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*w - 125*w + 280*w)*(w**3 + 48*w - 48*w).\nAnswer: 34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i + 2*y - 14, -2*i = y - 9. Solve -p - 3 = i*z, -2*p - 4*z + 5*z + 14 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-18)*94 - 8\/(-6). Suppose -16*t - v = -l*t - 10, -3*v = 2*t + 25. Let u(m) = 5*m**3. Let r(k) = k**3. What is t*r(w) + 2*u(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217470 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 + 3*q**3 + 21011*q**2 + 3*q**3 - 7027*q**2 - 6995*q**2 - 6989*q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 27*v = -10*v - 215. Solve -l + 9 = -2*p, -5*p + v = -2*l + 64 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/168 + (-498767)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:08 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52*94.\nAnswer: -48.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1674 and 55728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947.\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 5*y + 6*y - 3*y - 4*y - 16*y + 0*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/38 - -89\/76. Let g = -0.125636 - -1.125636. Which is the closest to 1? (a) g (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let w(y) = 112*y**2 - 5. Determine c(w(h)).\nAnswer: 112*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f + 1. Let x be l(3). Let n(i) = i**3 - 14*i**2 + 11. Let d be n(14). Let z = -7 + d. Solve 0 = -4*h + 2*u - x, -18 = z*u - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -2. Let z = 2 - 1.5. Let n be -8 + 9 - 5\/4. What is the nearest to h in n, z, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:23 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35009 and 39.\nAnswer: 105027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-162)\/14 - 6\/14. Let x = q - -14. What is the derivative of h - 4*h**x + 3 - h - 1 wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25 - 6) + 28)*(9\/3 - (-847)\/(-84)).\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**3 + 0*n**2 + 7*n**3 + 6*n - 5*n**2 + 0*n. Let t be u(4). Suppose t*d = 6*d + 16. Solve 13 - 3 = -3*a + 5*o, 2*a = 4*o - d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 22\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 50. Suppose 5*b + m - 719 = 0, 2*b - 230 - 62 = q*m. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**16)*h)**27 assuming h is positive.\nAnswer: h**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*m + 53, 3*v - 13 = v - 5*m. Calculate the highest common divisor of 152 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 8.1.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, -1\/6, 17, 0.5, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -35*y**2 + 40695*y + 11630 = 0?\nAnswer: -2\/7, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*r + 71*r + t = -15, 0 = 3*r + 3*t + 21. Factor -50\/7*i**r - 286\/7*i + 338\/7 - 2\/7*i**3.\nAnswer: -2*(i - 1)*(i + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26254, -104521, -234964, -417583, -652378?\nAnswer: -939349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -899 + 934. What is the smallest common multiple of 91 and f?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4679 = -619. Round j to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -6. Suppose w = -1 + 6. Calculate the greatest common divisor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800)*2 + sqrt(1800))\/(sqrt(6) + sqrt(192)\/sqrt(2)))**2*-2 + (5 + sqrt(12)\/((2*sqrt(40))\/sqrt(10)) + 4)**2.\nAnswer: -537\/4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 51*z**2. Let l(k) be the third derivative of k**5\/30 - 21*k**2 + 2*k. Give l(v(u)).\nAnswer: 5202*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 9:16 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13307 by 186.\nAnswer: -13307\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92362103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/(g**0*g)*g**(-1\/4)\/(g**(2\/5)*g))\/((g**2*g)\/g*(g\/(g**(-5\/3)*g))\/g)**(-28\/3) assuming g is positive.\nAnswer: g**(3103\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/230*(-48)\/21?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-9\/2))\/((y*y**(17\/4))\/y) assuming y is positive.\nAnswer: y**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 (base 15) in base 14?\nAnswer: -2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-6.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296279*h**5 - 2955*h**2 wrt h.\nAnswer: -17776740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 0 + 121\/4*p + 1\/4*p**3 + 11\/2*p**2 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -49. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 2. Let h be 2\/4*(5 - -5). Let x be i(h). Is 10 a factor of 2*(16 + 7 + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-770)\/20))\/(2\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 1\/420*k**5 + 1\/84*k**4 + 1\/42*k**3 + 0*k - 5*k**2. Factor y(b).\nAnswer: (b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 19 = 3*g, 0*q + 3*q + g = 3. Let p(m) be the first derivative of 8*m**2 + 16 + 5*m**q + 6*m**2 - 18*m**2. Let z(f) = 13*f. Calculate p(z(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4. Let g(c) = c + 4. Let d be g(-13). Let h(x) be the second derivative of -12*x - 1\/6*x**3 - 9\/2*x**2 + 0. Calculate d*w(m) - 4*h(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 189182540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(1\/(-1)))\/(7\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/108 and 1151\/(-792) - (-102)\/68?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2128\/4256)\/(-1*(-3)\/(-204)*9\/(-18))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 7. Let f(w) = 3*w - 14. Let t(m) = 2*f(m) - 5*y(m). What is the units digit of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let k = s - -9. What is the highest common divisor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = 3*u - 2, -8 = -4*u. Suppose 0 = 2*a + 2*h + 28, -2*a + 3*h = 6*h + 26. Let q = 24 + a. What is the highest common factor of q and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*q = 2*k - 247, -3*k = -2*q - 245. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*h - 4 = -314*h, 2*f = 2*h - 54. Suppose -18 = -3*o + 2*o. Let x = o - f. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Calculate the lowest common multiple of -2 - -3 - -11 - 0 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 21, 0 in descending order.\nAnswer: 21, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (176\/(-10))\/((-28)\/70)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5237 divided by -1\nAnswer: -5237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3532 - -110?\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4\/5, -1\/4, 0, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -85723\nAnswer: -2\/85723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*r - 485, 4*c - 2*r - 106 = 3*c. Let v = -704\/7 + c. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*z + 5492, 0 = -5*x - 11*z - 3658 + 9234. What is the smallest common multiple of 342 and x?\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 39 = -12*f. What is the second derivative of 39*a**f - 5023*a - 323*a**3 + 3 + 5103*a wrt a?\nAnswer: -1704*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -10. Let q = j + 4. Suppose -5*w + 0*w + 3 = u, 4*w = q*u - 34. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*n + 3, -3 = n - 0*a + a. Solve n = 2*c - 5*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3356 - 1.4356. Which is the second biggest value? (a) y (b) -4474 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 597240 and 341280.\nAnswer: 2388960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 3 (c) -2\/9 (d) -0.8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 65, 94, 123?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12740 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i**2 + 215*i - 116. Let w be c(26). What is the highest common divisor of 10296 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 8. Suppose 4*j + x + a = -0*x, 1 = -3*j - 5*x. Let w = j - -4. Solve 2*t = w*y, 3*y = t - 0*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**2 + 3 - 14*b**2 - 36*b**2 + 19*b**2.\nAnswer: -82*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4772 = 7*t - 5*t, 1192 = x - t. Suppose -x = m - 1196. What is the highest common divisor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - x - 4. Let b be v(-8). Suppose -o - 9 = -16. Calculate the remainder when (b\/(-3))\/(1\/(-15)) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c + 1. Let i = 2656 + -2658. Calculate l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 29*u**2 - 15*u + 6. Give a(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4)*(0 - -14). Suppose 34 = -2*j + a, 2*j + 2*a + t + 8 = 0. Calculate the least common multiple of 2 and -4*1\/(-4) - j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**3 - s. Suppose 4*f = -0 + 4. Let t be p(f). What is the third derivative of 4*i**3 + 0*i**3 - i**2 - t*i**3 wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1\/6*n**6 - 3\/10*n**5 - 5\/2*n**3 + 2*n**4 + 0*n + n**2 + 87. Solve r(t) = 0.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 5 = -2*p - 13*u, -13*u + 18*u = 17*p + 321 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - ((-342)\/45 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d**2 + 103*d - 85. What is x(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 703\/2620 - 12\/655. Let m = 2.3 - -1.7. Which is the nearest to 4.7? (a) m (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127, -467, -1015, -1771?\n\"Answer: -104*t**2 - 28*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 + -109. Calculate the remainder when 828 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:03 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/1 + 142\/71. Let s(x) be the first derivative of 27\/5*x + c + 9\/5*x**2 + 1\/5*x**3. Factor s(h).\nAnswer: 3*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-135)\/6 + 3. Let j(u) = u**3 - 5*u**2 - 2*u - 4. Let f be j(6). Let d = t + f. Are 0.1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 - 32*g**3 - 1023*g**2\/2 + 32*g + 512.\nAnswer: -(g - 1)*(g + 1)*(g + 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from yyyppypppypypyppypy.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let w = -438 + 457. Put p, -2\/17, w in descending order.\nAnswer: w, -2\/17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 6}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13915 times 2\nAnswer: 27830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -39, -87, -155, -243?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkmkmkmkmmmmkkkkkmm. Give prob of picking 1 m and 2 k.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52402868 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 956600 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7182.355 litres?\nAnswer: 7182355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -969*o + 3888. Calculate h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2183*f - 1064*f = 1063*f + 1008 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/w)**(-11)\/(w**(-24)\/w)**(-2\/3) assuming w is positive.\nAnswer: w**(-281\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 12*d**2 + 13*d - 5. Give w(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 28177*k - 138 = -28178*k, 0 = -q - 3*k - 4 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 760\/304*(-6)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*r + 0*r - 40 = 0, -r - 5 = -2*h. Let n be (-12)\/18 - (-1)\/(3\/2). Solve n*k + 20 = -h*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -35. Let n = 20 - f. Suppose -72 = -n*m + 3*x, -3*m - 32 = -6*m - x. Calculate the lowest common multiple of 2 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1372) + ((sqrt(1372) + 1 + sqrt(1372))**2 - sqrt(1372)) + 5 + -3*(sqrt(567) + -4*(3*sqrt(567) - sqrt(567)) + sqrt(567))**2.\nAnswer: -55742 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = -15. Suppose -3*d = -p*d + 120. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5*3*sqrt(1872) - (-3*sqrt(1872) + 1)) + 1))**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 170*o - 899. What is the remainder when f(11) is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2016 + 2016.5762. What is g rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-1 - (-10 - -1)). Let a = 22441\/18 - 1242. Find the common denominator of ((-2)\/16)\/(m\/(-76)) and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6821 + 13267. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78696571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-275))\/((-4)\/(-60))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 85 = -r. Calculate the highest common divisor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -552752440*j**4 + 86089921*j**2 + j.\nAnswer: -13266058560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 + 54*t**4 + 168*t**3 - 576*t**2 = 0.\nAnswer: -12, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20694*i*r**2 + 8*i*r + 5627079*i - 3*r**2 wrt r?\nAnswer: 41388*i*r + 8*i - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 2, -9.57, 5?\nAnswer: -9.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387372 to the power of 1\/2, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 400574269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 0. Find the common denominator of -1*9*-4 - l and (-27)\/6*8\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*(-150)\/5)\/((-4)\/6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 0, i + i - 5*w = 172. Let d = i - -18. Suppose 4*t = d + 23. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117.2 - 118.4495. Let m = x - -0.0895. Is 1\/6 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 20*n + 51*n + 5*n**2 - 45 - 70*n as c + s*n**2 + a*n and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiaa when four letters picked without replacement from {i: 2, a: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -210, -249, -324, -447?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-544)*17*(-2)\/13*2\/(-4)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 9. Let b = -2163 + 2171. Calculate the remainder when x is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7593?\nAnswer: 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252864 and 384.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599499 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/3 - 10*i**4 - 48*i**3 - 152*i**2\/3 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 12*z - 3*z)*(6 - 3 - 2)*(-1 - 3 + 5) + 0 - z + 0.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 35510 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b, -8*b - 1031 = -2*s - 3*b. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 26490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 237766 divided by -54\nAnswer: -118883\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10152, -20311, -30472, -40635?\nAnswer: -50800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 717, 0.191, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f + 2. Let d be s(0). Which is smaller: 70\/59 or d?\nAnswer: 70\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 6. Calculate t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 147. Let i(g) = -3. What is 147*i(q) + 3*v(q)?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/4*14\/(-3)*(-5884)\/41188.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 31 = 4*h - 25*g, 2*g = -4*h + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**2\/7 - 4800*g\/7 + 960000\/7.\nAnswer: 6*(g - 400)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let o(m) = -4*m**2 + 2*m + 8. Let c(a) = 5*a**2 - 3*a - 16. Let p(x) = 2*c(x) + 3*o(x). What is p(n(s))?\nAnswer: -32*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2513, -5140, -7769, -10400, -13033, -15668, -18305?\nAnswer: -20944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27421184561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49719 + 12213 = -21*g. What is the highest common divisor of g and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 384226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 + 732 = -100*n - 1666 - 71 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let x = 4 - -1. Let l be (-8)\/x - -2*1. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + -134 + 65 + 128.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14537 - 0.03463. Which is smaller: m or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 - 7*r - 7. Let k(u) = 2*u + u**2 - u - 1 - 2*u. Let t(f) = -2*i(f) + 14*k(f). Let j(p) = 9*p. Give t(j(o)).\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 4, s: 2, q: 12}. What is prob of picking 2 s and 1 k?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/2 (b) 11.6083 (c) 0.4 (d) -255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u**2 + 29*u**2 + 33*u**2 - 21*u to the form b*u + k + l*u**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2616 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 376, 858, 1536?\nAnswer: 2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - l + 2*l)*(0*l + 2*l - l) - 7*l**2 - 8*l + 5*l - l to the form c + h*l**2 + f*l and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 558.0243 centuries?\nAnswer: 55802.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - o + 5 + 1 = 0, 2*o + 12 = 2*j. Suppose 0 = j*i + 2*i - 610. Let p = -53 + i. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 45. Suppose f + 4*w - q = 10, 5*f - 20 = -5*w. Let g be (-2)\/17 + 3552\/(-11424). Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slu when three letters picked without replacement from skful?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*(sqrt(162) + 1) - ((sqrt(162)*-1 + sqrt(162) + sqrt(162) - sqrt(162)) + 0)))**2*-4 + -3)*6.\nAnswer: -62610 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -355722, -711434, -1067146?\n\"Answer: -355712*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0*3\/(-9). Suppose 3*n - 5*b + 0*b - 5 = l, 0 = 4*n - 3*b - 14. Suppose -c = -n*g + 2*g - 5, 2*g + 5*c = 8. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -5, -24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 7. Let w be n(-5). What is the third derivative of -6*x**5 - 3*x**2 + 302*x**3 - 302*x**w wrt x?\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1079, 2448, 4375, 6866?\nAnswer: 9927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 25 - 32*o - 4 - 11 - 14. Let n(d) = -6*d**2. Calculate g(n(r)).\nAnswer: 192*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 13 = -1. Let d be (-78)\/18 - (-4)\/(-6). Let n = j - d. Calculate the remainder when 55 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87490.26 weeks to hours.\nAnswer: 14698363.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83352 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5371867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p**2\/15 - 201134*p\/15 + 19156\/5 = 0 for p.\nAnswer: -14367, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300234213321 + 3?\nAnswer: -300234213313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*q**2 + 0*q + 26*q**2 + 0*q in the form n*q + b*q**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*3 + sqrt(136))*-3*6)\/(-2*sqrt(392)*-4).\nAnswer: -9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.77 - -11.42. Let y = p - 0.53. What is y rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 9) to base 3\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, 1 i, and 1 p when four letters picked without replacement from pzaavill?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37556\/(-13648) + 3 + 1\/(-4). Let u = -2189\/274666 - g. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 51*p**2 + 57*p**2 - 111*p**2. Let v(n) = -2*n**2. Calculate v(k(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 2*u**2 + u**3 + (2*u**3 + u**3 - 4*u**3)*(-5 + 4 + 5) + (-2 + 2 + 10*u)*(-u + u + 2*u**2).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1\/4 (b) 0.4 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-2)\/(1*-1). Let t(b) = -2*b**3 + 11*b**2 + 5*b - 7. Let l be t(6). Let p = l - -25. Solve -3*f - r = -2*f - 3*k, -4*k - p = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39.15265 and 0.0455.\nAnswer: -39.10715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445?\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 112, -2\/3, 5\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from jjmjjmjjjjj?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-21)\/7. Let i(p) = -1 + 4 - 27*p + p**g + 23*p. Is i(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 25*y**2 - 12010*y + 169. What is l(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194.96 - -195. Let s = 5\/7 + -41\/28. Let h(d) = 2*d**2 + 14*d + 24. Let v be h(-2). What is the second biggest value in t, v, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.524423 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and -14\/107.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5853822159?\nAnswer: 3, 1951274053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*g - 120*g + 27*g to the form v*g + w and give v.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.108? (a) -7 (b) -0.3 (c) -1 (d) -2\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3381 and 57\/3367.\nAnswer: 1626261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -138564.0724 to the nearest ten.\nAnswer: -138560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4008349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1236, 1228, 1218, 1206, 1192, 1176, 1158?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -80474+-1318\nAnswer: -81792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**3 - f + 3. Let p(c) = c**3 - c**2 + c - 1. Let m(y) = -d(y) - p(y). Suppose 0 = -86*a + 60*a + 26. Is 3 a factor of m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 + 4*z + 1. Let a be j(-4). Suppose -4*r + 28 = -0*r. Suppose -r*u = -3*u + 20. Put a, u, 2 in decreasing order.\nAnswer: 2, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99476.\nAnswer: 2, 13, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 18*n**2 + 21*n + 75. Determine s(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0335 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 111\/(-9))*6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 5*x**4 + 10*x**3 - 2 - 17*x**3 - 3*x**4 - 12*x**3 to d*x**4 + v*x + h*x**2 + g + o*x**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4750, -18301, -40872, -72445, -113002, -162525, -220996?\nAnswer: -288397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 34. Suppose -w*q = -0 - 12. Solve q*t + 5*n + 26 = 0, -6*n = -3*t - n - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3 + 2*x**2 + 75*x + 6*x**2 + x**3 - 71*x. Calculate w(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68144.57 decades in months?\nAnswer: 8177348.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051333 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 + -607212?\nAnswer: -607261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667745821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*v - 76 + 57 = 0, -2*h - 3*v = -43. Solve 5*t + 21 = -4*o, h = -4*o - 40*t + 39*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + 1 + 1 - (4 + (0 + sqrt(28))*-1)) + -1.\nAnswer: -4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -7. Is -2*(69\/(-2) - j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(51))\/sqrt(3) - sqrt(17))*-3)**2 + (sqrt(51)\/((sqrt(3) - sqrt(288)\/sqrt(6)) + sqrt(3)))**2.\nAnswer: 629\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 17295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -80. What is the second derivative of -2*o**3 + 80*o - y*o + 5*o**3 - 2*o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*t - 38, -242 = -24*q - t for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -111, -1\/8.\nAnswer: -111, -4, -1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1)*-6*2 + (sqrt(1539) + sqrt(1539) + (sqrt(1539) - (2 + sqrt(1539) + 3)))*1)**2.\nAnswer: -1260*sqrt(19) + 153949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 17 - 7 - (-61 - 13)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 4. Let p be l(-4). Solve p*d + d + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5718 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 15, 20 = 5*k + t + 3*t. What is the second derivative of -49*f**2 + 8*f - k*f**2 - 9*f + 6*f wrt f?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9924 - 0.0376. Let m = 0.03 + p. Let r = -11.9 + 12. Which is the third biggest value? (a) 0.5 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, t: 4, n: 1, m: 2}. Give prob of sequence nc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 38. What is the least common multiple of 12 and c(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*m = 20 - 0, 2*p = 4*m + 18. Let h = 277\/2 + -132. Find b such that 17\/2*b**3 + 2*b**4 + 12*b**2 + p + h*b = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 5*r - 11. Let z(w) = w**2 + 11*w + 13. Let s be z(-8). Does 14 divide f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/783?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3452613 - -4?\nAnswer: -3452606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2201, -2485, -2769, -3053, -3337, -3621?\nAnswer: -3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601981 (base 12) in base 3?\nAnswer: -112001102021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/332 and (-2)\/5 + (-4 - (-1315)\/(-150)).\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1389 by -29.\nAnswer: -1389\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 9 = 22 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + g = 41, -3*t = -g + 35 - 12. Let y = 11 - t. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**2 - 62*p + 54. Let v be w(24). Suppose 2054 + 5491 = 5*f - 5*q, v = 4*f + 5*q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 z, and 1 o when four letters picked without replacement from {k: 3, y: 2, t: 1, z: 2, o: 2, m: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(4 + r**4 - 5*r - 5 - 1).\nAnswer: r**4 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 53640 = -40*y - 43100. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.586 + 3.669. Let u = -24 - i. Let o = u - -3.083. What is the second biggest value in -1\/9, 1\/10, o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/60 - 2*c**5\/5 - 11*c**4\/12 + 2*c**2 - 29*c. Factor w(f).\nAnswer: -2*f*(f + 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + (-684)\/361. Let b = -1.377 + 1.3. Let q = -3.077 - b. What is the third biggest value in j, -0.03, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73548 + 74099.59. Let o = w - 554. Let s = o + 0.41. Is -9 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -96*x + 2665. What is o(26)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c*p**3*u - 13325*c*p**3 - 4*c*p**2*u - c*p*u + 2*c*u + 2*p**3*u - 18*p**2*u + 432*p*u + u wrt p?\nAnswer: -78*c*u - 79950*c + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -790, 1\/4, -138, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9500 + -3829. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312781, -625561, -938331, -1251085, -1563817, -1876521?\nAnswer: -2189191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 9. Let u be r(4). What is the second derivative of -2*h + 2*h - 5*h - u*h**3 - h wrt h?\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438 and 3504.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10922 is divided by 779.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2834 and 19170266?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 7, 0.706?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -141. Let j be (r\/(-3) + 2)\/((-4)\/(-168)). Factor 5*i**4 - j*i - 11*i**3 - 4*i**2 - 3*i**4 - 10*i - 16 + 17*i**3.\nAnswer: 2*(i - 2)*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 7 + -34 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*k - 260*k + 1249*k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 12 = t, -11*t = 3*a - 6*t + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111160.\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75317816389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2367 divided by -2367.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361680 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpoopopbxpobpop. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23071*m + 2*m**2 + 23076*m - 3*m**2. Determine o(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*d - 108 = -112*d. Suppose -n + m + 635 = 189, -d = -4*m. Is n a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -436352, -436337, -436322, -436307?\n\"Answer: 15*i - 436367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115, 216, 317?\n\"Answer: 101*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87808.26 millilitres in litres?\nAnswer: 87.80826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/9 + 3326*a**4\/9 + 666388*a**3\/3 + 56087460*a**2 + 4826502450*a + 4770636750 = 0.\nAnswer: -495, -177, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33220250 + -11?\nAnswer: 33220237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-9)\/27*6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = y, 21*p - 4*y - 1 = 22*p. Solve t + 8*f + 9 = 5*f, 5*f + 1 = p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 + 2. Let y(x) be the third derivative of 0 + 7\/120*x**6 + 0*x - 2*x**2 - 1\/60*x**5 + 1\/12*x**4 - 1\/6*x**3. Give y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-7)\/7)*(-1)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589761 is divided by 117950?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 1. Let a(s) = -s + 3. What is -a(g) - 5*c(g)?\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27820*l**5*n**2 - 1200*l**3*n**2 + 109576*l*n**2 - 2477*l*n wrt l.\nAnswer: 556400*l**3*n**2 - 7200*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10744 = -400*v + 1074 + 2513 - 1131 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5017 times 9197.1?\nAnswer: -46141850.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 168. Suppose c = 4*q, -13617 - 16336 = -5*d - 4*q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 7*k**2 + 11*k - 6. Let c be s(6). What are the prime factors of (2\/(-2 + c\/(-206)))\/(-1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 714*x**2 - 3 + 3 - 297*x**2 - 373*x**2 - x**4 - x**3 - 2*x as v*x + u*x**4 + c + j*x**3 + t*x**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2049183844 to the nearest integer?\nAnswer: 45268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1098 and 1?\nAnswer: -0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -14\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918004.\nAnswer: 2, 19, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1.0135.\nAnswer: -0.10135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 1\/2, 4\/5, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 - q**2\/2 - 2*q + 127. Let r(x) = 4*x**2 - 7*x + 6. Let f(s) = -3*c(s) - r(s). Calculate f(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 0*i**2 + 36*i**2.\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, 10 in decreasing order.\nAnswer: 10, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 + 5*y**2 - 6*y + 2. Suppose 186*n = -2070 - 348. Let f(g) = 17*g**3 - 10*g**2 + 12*g - 4. Give n*k(q) - 6*f(q).\nAnswer: 2*q**3 - 5*q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1653? (a) 0.2791 (b) -0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sis when three letters picked without replacement from {s: 5, i: 3, u: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 + -455. Suppose -10 - 18 = -4*n - o, 2*n = -2*o + i. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(9\/4))\/(n\/((n\/n**(3\/5))\/n)*n) assuming n is positive.\nAnswer: n**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*g - 11508 = -340*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23058 is divided by 11166.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 94 = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*k + 4*d + 147, 4*d + 68 = k. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3515208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 - 11481272.\nAnswer: -11481270.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:52 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(18\/(-4)) + (-228)\/(-171). What is the second derivative of -135*r**3 - 63*r**3 - 55*r**b + 55*r**2 - 35*r + 48*r**3 wrt r?\nAnswer: -900*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 v, and 1 u when four letters picked without replacement from {v: 2, n: 2, b: 1, u: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from dzdzzggzzgzggdd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 87*d. Let r(z) = -8*z**2. What is w(r(f))?\nAnswer: -696*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 35*i**2 - 54*i - 10. Give h(-33).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 81*l - 140 = -44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*s + 696 - 677, 45 = 5*s + 4*w. Solve -s*p + 21 = 8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 5*s**3\/2 - s**2 - 45*s. Let r(v) = -1 - 14*v + 13*v + 0. Let t(q) = -3*f(q) - 24*r(q). Differentiate t(x) with respect to x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**4*h - 781*b*h + 820*h - 3 wrt b.\nAnswer: -12*b**3*h - 781*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(10\/7)*(b\/(b\/(b*b**(-7)))*b*b)\/(b*(b**(-6\/7)*b)\/b) assuming b is positive.\nAnswer: b**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/1086*12*(-5)\/(-4). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let d be j(-11). Let t(z) = z**2 + 10*z + 8. Let k be t(d). Which is smaller: -0.2 or k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 340, 528, 736, 970?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*z + z - 3*z)*(0*z + 9*z - 6*z + 24).\nAnswer: 3*z**2 + 21*z - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5386.8 - 5387. Which is the biggest value? (a) 0.1 (b) x (c) -1 (d) 0.963\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 435947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934426399?\nAnswer: 3, 191, 2017, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hblpephg. What is prob of picking 1 g and 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d**2 + 159*d + 5. What is j(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/2))**(1\/11)*o**13\/o**(-7\/4))**(-33) assuming o is positive.\nAnswer: o**(-1917\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 9*b**2 - 8*b + 6. Let c be k(8). Suppose o + d = 4, -4*d + d = -c. What is the second derivative of -m**2 - 4*m + m**2 + o*m - 3*m**3 wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 108*h**5 + h**2 - 3*h - 111*h**5 + (-32 + 27*h**3 + 64 - 35)*(-2*h**2 + 2*h**2 + 2*h**2).\nAnswer: 51*h**5 - 8*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16376674 divided by -503\nAnswer: 32558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5413*g**2 + 5413*g**2 + 10*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**6\/720 - v**4\/12 + 8*v. Let u(n) be the third derivative of x(n). Let f(k) = 3*k. Calculate f(u(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.02 (b) 15 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:51 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 748988166 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 29. Suppose 2*s - 6*s + 204 = u. Calculate the remainder when s is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**4\/y))*y*y**6*y*y*y**(-1\/5)*y*y\/(y**5\/y)*y*((y\/(y*y*y*y*y*y**(2\/5)*y))**(3\/7))**(-2\/3) assuming y is positive.\nAnswer: y**(432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.6591 centuries to years.\nAnswer: 12165.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*y - 19 + 165 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18050.3148 to the nearest 10.\nAnswer: -18050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = s + 66, -s + 212 = -5*s - 3*g. Let k = s - -48. Let w = k - -101. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 4*s - 7*s = 2*c - 50 - 27, -20 = -5*s - 0*s for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(704)*3 + 1)*6)**2 - (-3*(sqrt(704) + 2) - (-1 + sqrt(704))*-2)**2.\nAnswer: 15424*sqrt(11) + 2052420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/96 and 115\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, -4*z + 3*n + 80 = -0*n. Suppose -2*r = -3*r - 2*c + 46, -4*c = -z. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**4 - v**3 + 1. Let x(z) = 486*z**4 + z**3 - 5598. Let w(b) = h(b) + x(b). Find the first derivative of w(g) wrt g.\nAnswer: 1976*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16128 is divided by 1611?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/((-93)\/124)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -9b?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -118, -255, -454, -721, -1062, -1483?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 + 2*o**3 + 7*o**2\/2 + 6*o - 7. What is the units digit of w(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -1 - 17 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f + 56*f - 5*l - 23 = 0, 0 = 4*f + 12*l + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3.2. Suppose 3*z - x = 4*x - 8, 2*z + 3*x = 1. What is the closest to 1\/4 in z, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-170))\/((-28)\/140)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14600+-0.768\nAnswer: 14599.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 4*b + (2*b - 1 + 1)*(-45 - 8 - 49))*(-7646 - b**3 + 7646 - 2*b**4).\nAnswer: 404*b**5 + 202*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 569, 1143, 1947, 2981, 4245?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 12. Let s be (-2)\/2*(j + -8). Put -4, -5, s in increasing order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(70)*1 - sqrt(70)) + sqrt(70)))\/((2*sqrt(120)*1)\/sqrt(12)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9751808 to the power of 1\/2, to the nearest integer?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 61*z**2 + 250*z - 31. What is the tens digit of y(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 28\/294*64?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0303 - 0.0093. Put 0.4, -1\/3, k in ascending order.\nAnswer: -1\/3, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 17*u**3 + 13*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156432 (base 13) to base 7.\nAnswer: -4326231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9196 - 10841 + 25105. What are the prime factors of p?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -5*a + 4*y, 3*a + 2*y = 5*y + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3\/49, 0.3 in increasing order.\nAnswer: -8, 3\/49, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-9855)\/(-25))\/1 - (-12)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7672 + 11013 + 11119 + 16308 = -1048*d for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 78094*o**2\/9 - 9706720*o\/9 - 100382216\/3.\nAnswer: 2*(o - 39171)*(o + 62)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = 33*f - 3*h + 7, 3*f + 3 = 3*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*d - 4656, -12*d - 6978 = -3*o - 9*d. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 307293437*x**3 + 4896453*x**2 - 6.\nAnswer: 1843760622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -32786, -1, 8.95, -1\/6, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 777 - 777 + 47*r**2 - 5*r**3 + 185*r**2 + 3*r**3 - 678*r = 0.\nAnswer: 0, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by 142?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 16. Let s be o\/3*(-3)\/(-2). Let r be s + 21*6\/9. Solve -v = b + r, 2*b + 6 + 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388637 is divided by 388637?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*m - 15 = 0, 7*m = 5*g + 4*m + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from cybbbbyyyrb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 - (-14 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 292?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*r + 389*r + 111*r.\nAnswer: 353*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-122)\/4)\/((-2)\/(-4)). Let d(i) = 11*i - 14. Let u be d(4). Let l = u - j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, 3\/5, 5\/4, 3 in decreasing order.\nAnswer: 645, 3, 5\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 + m**2\/2 + 14*m - 5. Let k be c(5). Let l(i) = -4*i + 2*i**2 - 2 + 9*i - i**2 + 3. Give l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 82. Let s(x) be the second derivative of -1\/2*x**2 + p + 2\/3*x**3 + 1\/6*x**4 - 2*x. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/2 - -21. Let s(a) be the first derivative of 1 + 5*a + t*a**2. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**7*r)\/(r*r**(4\/5)*r))**47)**(-4\/3) assuming r is positive.\nAnswer: r**(-4888\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*1\/(2\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 42*m - 13*m = 594 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - (8 - (-20 - (-12 - 1)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7258 * -3330\nAnswer: -24169140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let p(i) = -2*i + n*i + i + 2*i**2 - i. Suppose -g - 5 = -2. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427590 and 137400.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -980 by 4097.\nAnswer: -980\/4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 4. Let u(j) = -6*j + 1. Determine u(t) - x(t).\nAnswer: -5*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.504\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 168.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -21. What is the tens digit of (-54)\/((-9)\/2 + c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346178814 to the power of 1\/2, to the nearest integer?\nAnswer: 18606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13554 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6620*d**3 - 2*d**2 - 4*d + 4068.\nAnswer: 39720*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, -2 in decreasing order.\nAnswer: 29, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**3 - 45*u**2 + 244*u - 7. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1, l: 1, v: 2, u: 1}. Give prob of picking 1 u and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -g + 60, -33*i + 18*i + 16*i + 2*g = 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/9 + -5\/9. Let g = -4.2 + 4. What is the third smallest value in i, 1\/5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 36*k - 25. Suppose 2*z = -3*z + k. Solve 5 = -y + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3120557\nAnswer: 5\/3120557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3800 + 5596. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 11. Let c(u) = u**3 - 5*u**2 + 4*u - 12. Let d = 18 + -13. Let f be c(d). Let h be z(f). Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1628 and 349052?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:51 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 108, 392, 960, 1908, 3332, 5328, 7992?\n\"Answer: 16*r**3 - 2*r**2 - 10*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 32*t = 15. Solve 2*f + f = t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k + 24*k + 4*a - 14, -5*k = -5*a - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let v(s) = s**2 + 245970. Give v(g(m)).\nAnswer: m**4 + 245970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -2, 2, 17, -2558, 1\/5.\nAnswer: -2558, -2, 1\/5, 4\/7, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 8*h**2 + 10*h + 21. Let f be j(9). What is the greatest common divisor of 120 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -327, -325, -323, -321?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 38 = -6*t. Suppose 5*f + t*f = 1166. Calculate the greatest common factor of 106 and f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 4*i**2 - 16*i + 11. Is 22 a factor of g(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26594023 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q = 56886 + 38994. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(t**4 - t**4 - 4*t**4) + 3 - 3 - t**4 + (-1 - 2*t + 1)*(2 - 2 + t**3).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + n = 39, -5*n + 41 - 6 = 5*v. Let c(l) = -2*l + 10. Calculate c(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 4*f + 129)*(-2*f**2 + 5*f**2 - f**2)*(0*f + 0*f - f).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*o - 174*o + 64*o - 69*o.\nAnswer: -624*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + -6. Let v(a) = -46*a + 277. Let h be v(6). Put p, h, -1 in ascending order.\nAnswer: p, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*c + 36022 = -352*c - 15938 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 41838 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.074 - -0.008. Let n = z - -0.06674. Round n to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (0 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1048 + -3?\nAnswer: -104b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.43577 millennia in years?\nAnswer: 58435.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1672376142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 1)*5 + sqrt(1300) + 3*sqrt(1300)*3)**2.\nAnswer: 1500*sqrt(13) + 292525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.24664 times 0.4\nAnswer: 0.098656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 1.2 (c) -0.5 (d) 85 (e) 0.03 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let f(l) be the third derivative of 0*l**4 + 0 + 0*l + 1\/10*l**5 + 0*l**3 - 34*l**2. Give n(f(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (283 - 344) + (115 - 9).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*t + t + 20 = 0, -j = -5*t + 20. Solve -5*y - 14*b + 17*b + 21 = j, y = -2*b - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6665 rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 8) to base 2.\nAnswer: 1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 18*q**2 + 17*q + 8. Let h be a(-17). Suppose 4*u = h, 3*t - 102 = -3*u + 66. Let p = t + -50. Solve -16 = -p*w, 2*k + 0*k - 3*w = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4 - 4 - a + 2*a + 0*a + 0*a - a + 3*a - 3*a + 4*a - 2*a + (-2*a + 2 - 2)*(2 + 2 - 5) + 0 + 0 + a + 2 + 2*a - 2)*(2 - 2 + a**3).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*g + 9, 0 = -2*o - 2*g - 0*g + 6. Suppose -h = o*h - 68. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1508104 and 136?\nAnswer: 1508104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 + s**2 - s - 2*s**2 + 1. Let w be a(-7). Let t = -7 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53387, 212121, 476199, 845621, 1320387, 1900497, 2585951?\n\"Answer: 52672*l**2 + 718*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-195)\/(-84)) - 6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 292009846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/385)\/(2\/10). Let l = 17 - 17. Suppose -3*q + 0 - 6 = l. Put -1\/2, g, q in ascending order.\nAnswer: q, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-115) + 48\/(-23)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 73 = 3*g. Calculate the smallest common multiple of g and (88\/(-14))\/((-2)\/(-35)*-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25074.91m?\nAnswer: 25074910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 27 = -5*z, -3*z + f - 6*f - 11 = 0. Let k be z - (0 + -1 + 0). Suppose 2*q - 14 = q - 3*i, -5*q = k*i - 48. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let g = 97 - 677\/7. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 15*w - 14. Let q(v) = v + 141. Let o be q(0). Suppose 0 = 8*y - o + 13. Calculate the remainder when 9 is divided by m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o + 3. Let v(w) = -16*w - 3. Let t(r) = -5*u(r) - 4*v(r). Let b be (-1 - -2)*(-2 - 5). Give t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gww when three letters picked without replacement from {f: 3, g: 1, t: 1, w: 5, q: 3}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (8 - 6 - (4 + -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 136\/12 + (-4)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 7. Let p(x) = 5*x. Let i(m) = -6*m - 1. Let s(c) = -4*i(c) - 5*p(c). Let l(b) = 4*k(b) - 7*s(b). Let y = 5 + -4. Determine l(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 98*b**3 - 2*b**2 - 59*b + 181906?\nAnswer: 294*b**2 - 4*b - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.02.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 + 11*v**2 - 8.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4 - -1) + (-3485)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 2, j: 3, d: 3, g: 2, o: 1}. Give prob of picking 1 z, 1 g, and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*m**5 - 2363791*m**3 + 231535375*m**2 wrt m.\nAnswer: -1980*m**2 - 14182746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-49))\/(16\/(-128) - 1*77\/392)?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-230)\/25)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121, -227, -575, -923, -1271, -1619?\n\"Answer: -348*y + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from ygeweylgllglelyweyy.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576\/3432*150\/(-8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1700))**2 + -2 + (sqrt(17) - (sqrt(17) + sqrt(612)*5)**2) + sqrt(17)).\nAnswer: -73195 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -q + 2*m, -4*q - 527 = 3*m - 548 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nszzwvznvbnz. Give prob of picking 1 z and 1 v.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -38180.268 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 144 = 136. Suppose -w*l - l - 46 = -u, 0 = 5*u + 20. Let z be (3 + (-10)\/4 - 2)*l. Solve -z = k - 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100111111110001 (base 2) to base 5.\nAnswer: 21344210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m. Suppose m = 3*h - 0*h - 105. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a + -6a?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 + 16 = 5*f, -3*c = f + 1. Suppose s + 2*s - 602 = 5*h, -f*h = -s + 199. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.131 * -605.914.\nAnswer: 79.374734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p - 73*p - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418777428.\nAnswer: 2, 3, 34898119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161cda (base 15) to base 16.\nAnswer: 10515d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550425 = -223*n - 546411 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-6)\/11*-2 + (-4405302)\/141691).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11830 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462341 is divided by 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2\/9 - 14089696*k\/9 + 98628068\/9 = 0. Calculate k.\nAnswer: -3522431, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/60 - l**4\/24 + 4*l**2. Let d be 28\/6 + (-1)\/(-3). Suppose d*q + 30 = 2*z, z + 3*z - 12 = -2*q. Give i(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-13))\/4*-13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 4. What is j(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8534 is divided by 2719.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:07 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/21 and -88\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/7 - 282*f**3\/7 - 555*f**2\/7 - 276*f\/7.\nAnswer: -3*f*(f + 1)**2*(f + 92)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 3)*(-6 - 8 + 5)*(-10 + 10 - 6*d)*(-15 + 35 - 86) in the form f*d + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - s + 2. Let t be j(2). Suppose 0 = 2*d + 2*l - 16, t*l = 4*d - d - 45. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425123 (base 6) to base 14\nAnswer: -c999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z + 4*c, -2*c = 6*z - z - 16. Suppose q = z*i + 2*q - 1939, i + 3*q = 482. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17171 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*q - 207, 0 = -15*q + 14*q + 2*m + 72. 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: In base 9, what is 78110 + -2?\nAnswer: 78107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -1\/4, -12, -0.16, -0.5, -0.004?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 1. Let c(k) be the third derivative of 3*k**4\/8 + k**3\/2 + 148*k**2. Give 2*c(v) + 7*r(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20502019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 2392*l - 74539. What is h(32)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(2 + sqrt(2299)))**2*-4.\nAnswer: -11938752 - 228096*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, z: 10}. Give prob of picking 1 z and 2 f.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*k + 2*l - 216482 = -137*k, 0 = -l - 5. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 794, -5, 62, 1, -4 in decreasing order.\nAnswer: 794, 62, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 48*g - 36. Give y(-19).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000052739 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 5, u: 9, g: 1, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-4)\/(12\/(-27))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9276, -25986, -53842, -92850, -143016, -204346, -276846, -360522?\n\"Answer: -b**3 - 5567*b**2 - 2*b - 3706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 - -9?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = o - 4*o. Suppose 0 = 4*i - o - 7. Suppose j - 74998 = -i*x, -x - x + 4*j = -30008. Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1624, 15064, 0 in increasing order.\nAnswer: -1624, 0, 2, 15064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - y + (-5*y + 0 + 0)*(4 - 7 - 1) to i + c*y and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**2 + 4. Let r(i) = 2 + 2 - 5*i**2 - 1. Let d(j) = 3*c(j) - 4*r(j). Let q(o) = 3*o. What is d(q(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 3 - s**3 + 0*s**3 - 2*s. Let k be 1\/8 + (-12)\/96. What is g(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -85 + 100 + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a + 272. What is x(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(0 + 6\/(-15)). Let s(i) = 2*i**2 + i. Suppose 70 - 2 = 4*l + 2*h, -5*h = l - 26. Calculate the remainder when s(m) is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15741 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p - 4 = 5*i, -5*p = 5*i. Suppose -p*m - 2 = 6, m + 439 = o. What are the prime factors of o?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5502*j**2*t + 236217*j**2 - 53*t wrt t.\nAnswer: 5502*j**2 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1232, 1877, 2550, 3257, 4004?\nAnswer: 4797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 1:18 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/(-96) + 18\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/28*(2 - (-5)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3751)\/(-3)*-3120. Suppose -9*l + h = -8*l. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 12:53 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 967.2076 decades?\nAnswer: 9.672076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 9*m**2 + 8*m - 4. Let p be u(8). Let t be 4 + p + 0 - -18. Calculate the highest common divisor of t and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 u when three letters picked without replacement from {p: 1, u: 3, f: 1, w: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/16 - 43\/(-4). Suppose 4*j - 23 = 9. Let x = d - j. Which is the third biggest value? (a) 2\/9 (b) x (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b + 17321 - 19646 = 0 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -22*v + 21*v + 29, 0 = v - 4*d + 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2\/2 + 2. Let l be b(-2). Solve -34 + 6 = -5*t + l*r, -3*t - 3*r = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133521 + 3?\nAnswer: -1133514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 393 + -2 + 1*2. Is 2\/8 + i\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18200*z**2 + 8492*z**2 - 9153*z**2 - 19115*z**2 + 3235*z**2.\nAnswer: -34741*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -5) + (-25 + 0 - (-17 + 17)). Let v be 8\/(-6) - (-3)\/3. Which is the nearest to h? (a) v (b) -3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*c = -323*c + 65. Let i be (-246)\/(-10) - 2\/(-5). Solve z + 2*z = c*u + i, -3*u + 3*z = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60964076029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 22, 3 in descending order.\nAnswer: 22, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 10*l**2 - 2*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.5. Let w = u - 0.2. Is -2 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4683, 9373, 14061, 18747, 23431?\n\"Answer: -i**2 + 4693*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, n: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.847752 litres in millilitres?\nAnswer: 1847.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/(-77))\/((-64)\/(-168)). Suppose 4*n = 5*n. Let 0*c**2 + n*c - p*c**5 + 0 - 1\/4*c**4 + 0*c**3 = 0. Calculate c.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - (-123)\/(-9))*(-2658)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from xpsxspyxssa?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/((-27)\/(189\/28))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/7 - 151*x**4\/7 - 3139*x**3\/7 + 6745*x**2 + 55866*x\/7 - 14256 = 0.\nAnswer: -27, -2, 1, 11, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 75. Let y be a(15). Let z(o) be the first derivative of 0*o**3 - 1\/6*o**4 + 0*o + 1\/9*o**6 + y*o**2 - 5 + 0*o**5. Factor z(h).\nAnswer: 2*h**3*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 3 (c) 0.3 (d) -0.017 (e) -5 (f) -0.4 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30 + 42\/(-70)*-55. Suppose 4*v - v = 6. Put 0.4, r, v, 0.1 in descending order.\nAnswer: r, v, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/154 and -65\/7728?\nAnswer: 85008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -3\/109, 2, 3\/14, 0.3, -0.5, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 258*d**2 - 258*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275045 is divided by 485?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -53*z**3\/2 + 2*z + 2875. Let w(m) = -47*m. Give s(w(p)).\nAnswer: 7473*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (844*t**2 + 3567*t**2 + 2451*t**2)*(-6*t**2 + 3*t**2 + 0*t**2).\nAnswer: -20586*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -322208*l**2 - 335416 wrt l?\nAnswer: -644416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + 16*v - 37. Calculate m(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -611*z - 60.\nAnswer: -611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1 - (sqrt(50) + 1)) + -1.\nAnswer: -3 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6)*(-r**4 - 4*r + 4*r) - 4*r**4 + 262*r - 262*r + 2.\nAnswer: -8*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 182*y - 6. Let f(t) = 10*t**2. Calculate g(f(b)).\nAnswer: 1820*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 19*x + 12. Let n = 78 - 12. Let u be (2*3\/x)\/((-3)\/n). What is the highest common divisor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a + 4. Let x be t(-2). Let y = -22 - x. Suppose -y*k = -5*k + 24. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = y + 2, -2*o + 140*y - 144*y - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 0*c**4 + 3*c**4 + (3*c**2 - 3*c**2 + 2*c**2)*(3*c**2 + 2*c**2 - 3*c**2) + (0 - 3*c + 0)*(-2*c**3 + 3*c**3 - 2*c**3).\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.34 (c) -0.5 (d) -3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2385646?\nAnswer: 2, 1192823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g**5\/5 + 126592*g**4\/5 + 50620*g**3 - 379704*g**2\/5 = 0. Calculate g.\nAnswer: -31642\/3, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 45*s + 47*s = -468, 2*s = 12. Calculate the smallest common multiple of a and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**5 + 3*h**4 - h**3 + h**2 + 1. Let s(l) = 12*l**5 - 54*l**4 + 1310*l**3 - 9186*l**2 + 23958*l + 10. Let m(v) = 2*s(v) - 20*u(v). Factor m(j).\nAnswer: 4*j*(j - 11)**3*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0 (c) 2 (d) -182 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3880 and 179\/330.\nAnswer: 128040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let f(r) be the second derivative of -2*r**3\/3 - r. Let k(q) = q**3 + 42*q**2 + 33*q - 352. Let p be k(-41). Give p*w(l) - 5*f(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13178448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 2*y + 7*y + (-2 + 3 - 2)*(-2 + 2 - 2*y))*(4 - 3 - 3*y + 4*y)*(2*y - 4*y**2 - 2*y) to p + n*y**2 + j*y + b*y**3 + q*y**4 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*w + 6148 = -2302. Solve -w - 227 = 42*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*f**2 + 119*f**2 + 116*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -61) + (-2 - (12 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 1568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855282240?\nAnswer: 2, 3, 5, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 301.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9852 rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + -1 + (5 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 64*l - 61. Let h be c(-65). What is the closest to -0.2 in h, -4\/11, -0.5, -4\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 - 14*c + 14. Let i(j) = -j**2 + 41. Let z be i(6). Calculate the remainder when 54 is divided by d(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 119*w**3\/6 + 37*w**2\/2 - 50*w. Differentiate m(x) with respect to x.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36*1*(-30)\/585*-13)\/(105\/28).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/3 + 22654*u**3\/3 - 22658*u**2\/3 - 22654*u\/3 + 7552 = 0. Calculate u.\nAnswer: -11328, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -451 + 451. Solve 8 = 8*z - r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12396*m + 61980. Let x(k) = k + 4. Give -r(p) + 15495*x(p).\nAnswer: 3099*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7\/3 - (8\/(-6))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9266712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -2 - (-59 + 43) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 9*i**2 - 10*i + 7. Let d(t) = 3*t - 5. Let w be d(5). Calculate the remainder when 20 is divided by v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -15*l - 1960000. Round l to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(2) - (sqrt(162) - (sqrt(162)*2 + sqrt(162)))))**2 - (sqrt(84) + sqrt(84)*1*4 - sqrt(84))\/(2*sqrt(972)).\nAnswer: -2*sqrt(7)\/9 + 63\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -94, -135, -204, -307, -450, -639, -880?\n\"Answer: -a**3 - 5*a**2 + 3*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/54 and 73\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 657749953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 + 4. Let z be k(-4). Let r be (-5)\/15*4*(-1 + z). Let l(f) = -f - 3. Calculate l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1724 and 991.\nAnswer: -170.8484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and (-2)\/3 + 13\/(195\/1420).\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869770 rounded to the nearest one thousand?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 + 4*m + 36. Let a be n(10). Let c = -512 - a. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 19*m**2 + 18*m - 32. Let n be q(-20). Let u be (2\/4)\/((-2)\/(-16)). Suppose u*a + a = 320. Calculate the highest common divisor of a and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z + 16 = 0. Suppose -z*b + 3*b = 0. Suppose 2*l + 4 = -b*l - 5*a, -4*l = -2*a - 16. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:52 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -11. Let s(v) = v - 11*v**2 - v - w*v**2. Let k(l) be the first derivative of l**2\/2 + 73. What is s(k(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 9*l**2 + 8*l + 3. Let g be p(8). Solve 5*o - g*c + 37 + 3 = 0, 4*o = -4*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 0*h**5 - h**5 + (-20 + 6 - 3)*(4*h**2 + h**5 - 4*h**2) + (h**2 - 2*h**4 - h**2)*(3 - 3 - 3*h) - h**5 + h**5 + h**5.\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727330?\nAnswer: 2, 3, 5, 90911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 163\/7333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffflffflffllffffl?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.973 + 56. What is c rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209725 to the power of 1\/2, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 10) to base 12\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 12. Let w(f) = -11*f - 25. Let i(t) = -9*j(t) + 4*w(t). Let g(r) = -r - 6. Let x be g(-6). What is i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -0.094\nAnswer: -0.00376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5184\/(-165) + 1\/(44\/(-8)). Let v = 32 + h. Which is the closest to 0? (a) 1\/7 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7 + 6 + a - 5. Let k be m(6). Suppose k = 4*j - 2*j - 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7525 = 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2. Let c(d) = 20*d**2 - 8*d**2 - 9*d**2. Give c(a(f)).\nAnswer: 75*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c = 3462 - 450, -5*j + c + 3758 = 0. Let i = 765 - j. Calculate the highest common factor of i and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370232?\nAnswer: 2, 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23820 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/4)\/7 - 4\/(28832\/(-1866)). Is v greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/140)\/6)\/((-9765)\/(-91140)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*n**2 + (5*n - 2*n - 5*n)*(-563 + 440 - 489)*(n - 4*n + n).\nAnswer: -2446*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7226*s = 8127*s + 4505 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 64. Suppose -4*q + 170 = -238. Let u = -38 + q. What is the greatest common divisor of i and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 338.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*a - b - 148, 10*a = 6*a + b - 39 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13483834*m. Let t(b) = 13*b. What is t(c(y))?\nAnswer: 175289842*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*w - 10, 0*w - 2 = w. Let v be ((-11)\/14 - (-38)\/133)\/(3\/(-24)). Solve -v*h - c = -12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 340*k + 28416. Calculate x(-192).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 11*o**2 - 12*o - 18. Let c be n(-10). Solve c = q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 3}. What is prob of picking 2 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13408a8 (base 14) to base 3.\nAnswer: 122111101222202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3304256 and 8416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 18 (b) 1\/40 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 (base 8) in base 13?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78115, 78089, 78045, 77983, 77903, 77805?\nAnswer: 77689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 0*d**2 + 0*d**6 + 0*d**4 + 0 - 2*d + 1\/2*d**3 - 1\/21*d**7 + 0*d**5. What is the second derivative of q(o) wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 2, k: 7}. What is prob of picking 2 k and 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 - m + 7. Let g be 18\/4 + 2\/4. Let y be q(g). Find the second derivative of -3*l**2 + 3*l**2 - y*l + 2*l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6958 + 10834. List the prime factors of f.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/79 (b) 5 (c) -13 (d) 1 (e) -5 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9083 - -354218\/39. Let v = w + 32\/39. Sort -18, v, -1\/8 in ascending order.\nAnswer: -18, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let g(l) = l - 6. Calculate the smallest common multiple of q and g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-6)*2*1. Let g(z) = z + 6. Let x be g(6). Let m be 98*3*2\/x. What is the highest common divisor of m and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749579729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8987 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 - s - 13. Give p(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 6 (c) -0.2 (d) 3 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-4)\/(-12)*-3. Let q be -1*((3 - 7) + k). Suppose 2*g = -3*w + 23 + 19, -q*g = -5*w - 44. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 30*l**3 + l**2 - 4*l + 7. Let x be g(2). Let d = x + -111. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137091 is divided by 180.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3889 + 3822 + 42 + (1 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74660 and 240?\nAnswer: 895920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29707, -22201, -9685, 7847, 30401, 57983, 90599?\nAnswer: 128255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (0 - 16)*(-2 - (-1)\/(-4))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29800 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101110100 + 1?\nAnswer: 1010101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 34, 42, 50, 58, 66?\n\"Answer: 8*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*r = 150*r + 6320. Let u be (r\/12)\/((-55)\/(-33)) + 1. Find m such that -32\/5*m**4 + u*m - 8*m**2 - 4\/5*m**5 + 72\/5 - 16*m**3 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76133 and 620635.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 11. Let g = 91 - z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 403572 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = s + 2*s. Calculate the greatest common divisor of 44 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/228 - 449\/1596. Let h = -0.6 - 0. Let k = h + 1. Which is the nearest to z? (a) 3 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(230\/4))\/((-8)\/300).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 0. Let g(y) = -1 + 0 - y + h. Let b be (3 - 2 - 1) + -4. Give g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30184 divided by -343\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 2*m - 1. Calculate the remainder when 44 is divided by a(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5015 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -74*q + 6. Let p(m) = -m - 1. Let c be p(-10). Let g be u(c). Round g to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192522652 and 90?\nAnswer: 192522742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 438 = -1360*p + 1361*p, 5*p - 3*b = 1994. What is the remainder when 414 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2643818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: Work out 1979 + -0.5.\nAnswer: 1978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/2 + 130419*z**4\/2 + 710504181*z**3 + 38931651717*z**2 + 1107133274835*z\/2 + 1030690849347\/2 = 0?\nAnswer: -21709, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**2 + 7*z + 2*z - 5*z**2 - 5*z**2 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 0*l**3 + l**3 + 20 + 15*l**2 - 20*l. Suppose 2*b + 9 + 142 = -7*n, 0*b + 4*b = -8. Calculate p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 45. Solve 6*a - 5*a - 1 = f*g, -2*g - a + 1 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0*s**3 + 0*s**5 + s + 0*s**4 + 0 + 3\/10*s**6 - 15\/2*s**2. Find the first derivative of q(w) wrt w.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-18)\/(-4) + 9\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 18. Suppose -5*n = -3*x + o, 0 = -3*n + 6*n. Suppose x*y**4 + y**5 - y**5 - 2*y**5 + y**2 - 4*y**3 = 0. Calculate y.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00069274 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5324 (base 6) to base 13.\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1565 (base 8) to base 14\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 235 (b) -3 (c) 28 (d) -2\/147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 72. What is the least common multiple of 219 and s(-6)?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 283 + 401 = -33*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 449815 times -0.06?\nAnswer: -26988.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167723790757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5772147 - -0.576. Round v to five dps.\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 - (4 + -14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 116. Suppose -42 = -4*r + u. Do r and 24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 5*m + 2. Let p be u(-2). What is the smallest common multiple of 7 and -23*((1 - 6) + p)?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13862619 rounded to five dps?\nAnswer: -0.13863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -226*w**3 + 3*w + 3. Let f be r(-1). Suppose -f = -z + 405. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7496610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 6644.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -225. Suppose -4*g - 660668 = b - 2139664, 5*g + 4437005 = z*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(396) - (-2*sqrt(396) + 3) - (-3 + -1*sqrt(396)))**2 + (((sqrt(891) + 4*1*sqrt(891) + sqrt(891) - sqrt(891)) + -5)*4)**2.\nAnswer: -7200*sqrt(11) + 363141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500502?\nAnswer: 2, 439, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10861786 = -4*o + 5*o, 4*o + 43447160 = 4*u. Let x = 6861788 + o. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 127.992?\nAnswer: 2175.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1)*(0*r**4 + 4*r**4 - 3*r**4 - 3) + (2*r**4 - 2*r + 2*r)*(-5 + 1 + 2).\nAnswer: -7*r**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4910432 by 1227608.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33107 + 111709 = -16*c. Let k = -162811\/18 - c. Find the common denominator of k and -4\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + 87. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*5\/15 - (1 + 0). Is 63 a factor of (417*1)\/(3\/s) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 1, g: 2, a: 3, w: 1}. What is prob of picking 3 a and 1 w?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5))**(-23)*(a\/a**0)\/a*(a*a**7*a)\/a assuming a is positive.\nAnswer: a**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5487408 and 24.\nAnswer: 5487408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29477361772886 - 54.\nAnswer: -29477361772940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - 2.08. Let v = 3.9 + k. Which is the third smallest value? (a) -2 (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, m: 2, o: 6}. What is prob of sequence kmo?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2267530*p + 11337647. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + p**4\/4 + p**2 - 2*p + 47. Suppose 0 = 3*x - 6*x. Suppose -3*q = -x - 9. Determine f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.23 - 0.03. Sort h, -5\/3, -0.2 in decreasing order.\nAnswer: h, -0.2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2254*z + 2533*z + 11 - 11.\nAnswer: 279*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:56 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29568*v + 436*v**2 - 2181*v**2 + 29568*v - 1099*v**2.\nAnswer: -2844*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*g - 1)*(24 + 40 - 57) to q + a*g and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*x**3 - 46*x**3 + 26*x**3 + 23*x**2 - 3*x**6 wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkknkkzkkkmkkkzk. What is prob of picking 2 k?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.568711 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (36938\/220)\/(-73) + 45\/20\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5575.155 millennia to years.\nAnswer: 5575155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381441?\nAnswer: 3, 53, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.8 + -2.1. Let i = 12.9 + c. Let n = -0.1 + -0.1. What is the nearest to n in 4, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 18051616*c - 20366302513216.\nAnswer: -4*(c + 2256452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -35. Suppose c - i*o - 73 = 0, 2*c + 2*o = -2*c + 202. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9587881 + -14677881. What is q rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -30*w. Let d be j(7). Let t be 4\/14 - 66\/d. Suppose 3\/5*z**2 + 0*z - t = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104806825 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:04 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30126, -27568, -23300, -17322, -9634?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9225617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 226852575 divided by 4\nAnswer: 226852575\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 2. Let r(f) = -7*f + 5. Let i(t) = -5*c(t) - 2*r(t). Let m(b) = -2*b - 3. Let j(s) = -4*s - 7. Let u(g) = 3*j(g) - 7*m(g). Give u(i(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/10645?\nAnswer: -2\/10645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 33 = -9. Let x = -48 - -20. Let h = 27.7 + x. What is the biggest value in 4\/3, h, l?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/7)\/b)\/b)**(-8\/7) assuming b is positive.\nAnswer: b**(48\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 2*z - 171.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.8 and 273.\nAnswer: -2402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t)\/(t**(-2\/11)\/t)*(t\/(t\/(t*t**1*t))*t)**(-2\/9)*(t**0*t*t*t**0)**(-2\/5) assuming t is positive.\nAnswer: t**(1729\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136814233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, g: 4, f: 3}. Give prob of picking 3 f and 1 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16204591.\nAnswer: 13, 29, 53, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let q be (-2)\/4*(d + -6). Suppose q*a = -4 + 14. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2247.107km?\nAnswer: 2247107000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61770 - -3970?\nAnswer: 65740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -13360, -3, -4, -2 in ascending order.\nAnswer: -13360, -5, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1155)\/60 + 18 - (-58)\/8. Suppose 4*t - 4 = 8. Which is the biggest value? (a) 2 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1693*f + 17434 + 40128 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -1\/12*m**4 - 1\/10*m**5 - 1\/60*m**6 + 0*m - 1\/2*m**3 + 0 - m**2. Is 15 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 13020 = -12*q. Suppose -2*z - 2*z = 5*g - q, -15 = 5*g. Suppose 5*j - z - 270 = 0. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2499 + 2501 + 0*q - 2*q + q. Suppose 1 = 3*c - 5. Let j be 3*3\/9*6. Let p(b) = -1. Calculate c*i(n) + j*p(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16537\/2338 + -2\/1169. What is the common denominator of (-3)\/(-912)*-74 + 1\/(-4) and a?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**7\/84 + 17*v**6\/12 + 1929*v**5\/40 + 5207*v**4\/24 + 1681*v**3\/6 - 3578*v. Solve g(s) = 0.\nAnswer: -41, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.335679ml?\nAnswer: 0.009335679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 3*o**2 - 2*o + 2. Let t(m) = 2*m**3 - 8*m**2 + 5*m - 5. What is 8*i(h) + 3*t(h)?\nAnswer: -2*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000105401 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3772516 by -4.\nAnswer: 943129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. What is the closest to -0.1 in r, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4919 - 35167 - 10286 - 3*c.\nAnswer: -3*c - 50372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3\/7 + 30*g**2\/7 - 38*g\/7 + 12\/7 = 0?\nAnswer: 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -591848, -591848, -591846, -591842, -591836, -591828?\n\"Answer: f**2 - 3*f - 591846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z**2 + 613*z + 74. Give k(20).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 9*q = -76. Let k = -30 - -52. What is the smallest common multiple of k and q?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61222, 122266, 183310?\nAnswer: 244354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4081 by -53.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 15. Let k be u(17). Suppose 0*o - 483 = -5*x - k*o, -396 = -4*x - 4*o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2134 divided by 476.\nAnswer: -1067\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3.9788.\nAnswer: 7.9576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/16 and (-8)\/14 + 4758\/13692.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1020*w - 339*w + 19 - 334*w - 340*w. Let m(l) = -4*l - 10. What is 10*m(p) + 6*x(p)?\nAnswer: 2*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 112152421 (base 7) to base 8\nAnswer: 32111347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (2\/(-4))\/(1\/(-56))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(9\/2)*n)**(-10)*(n*n\/n**6*n)**(3\/16) assuming n is positive.\nAnswer: n**(-1049\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -47 - 42 + 8*v**2 - v**3 + 86. Determine k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l - 3. Let a = -9 + 12. Let k be n(a). What is the tens digit of k*(1 - -1) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 - a - 1. Let b(o) = 42*o**3 + 35*o**2 - 5*o - 5. Let c(d) = 6*b(d) - 30*f(d). Find the third derivative of c(h) wrt h.\nAnswer: 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4 - 11*t + 2*t + 3*t + 2*t**2. Calculate r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(36\/(-5)))\/((-30)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(2\/1 - 1). Let p be (-1 - 3\/b) + 1. Is 1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/(-42)*(-6)\/5. Let p(a) = 18 - f - 16 + 4*a. What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -8, -22, -56, -116?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 36*o**2 - 304*o - 13152. Calculate t(-33).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151497?\nAnswer: 2151497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1146615 (base 7) to base 4\nAnswer: 203233320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - 3*f + 46. Let a(g) = 8*g**3 + 10*g - 138. Determine -3*a(v) - 10*p(v).\nAnswer: 6*v**3 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*x + 10*x**3 + 186*x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56562 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**3 - 121*a + 132*a - 14*a**3.\nAnswer: -32*a**3 + 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -134*r**2 - 5*r + 90. Let d(a) = 49*a**2 + 2*a - 30. Determine 8*d(s) + 3*k(s).\nAnswer: -10*s**2 + s + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 60*f = -284 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21004860 and 5100?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4214*r = 4221*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -737\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -4, 0, 7\/302?\nAnswer: 7\/302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o + 2*m, 9*o - 25 = 4*o - m. Solve -o*x - 28 = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25468 is divided by 199.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/264 - (-4)\/(-22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96350 to the nearest one thousand.\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 - 14172?\nAnswer: -14008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l + 3*l - 235154 - 213964. What are the prime factors of l?\nAnswer: 3, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (sqrt(208)*-2)**2.\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*m + 863 + 347 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*b - 13 + 13)*(1 - 1 + 4).\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -910 - 779*d**2 - 726*d**2 - 234 - 646 + 159 wrt d.\nAnswer: -3010*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84056, 84037, 83992, 83909, 83776, 83581?\n\"Answer: -2*g**3 - g**2 - 2*g + 84061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(121) - -1*sqrt(121))\/sqrt(11) + 2)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 21 - 5. Suppose -4*c - 4*o + 632 = 0, -4*o = -b + 20. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -2112112?\nAnswer: -2112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2. Let t be ((-102)\/85)\/(36\/(-120)). Let l(i) be the second derivative of 0 + 0*i**2 + 17*i + 1\/4*i**t + 0*i**3. Determine x(l(f)).\nAnswer: -45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19914 is divided by 6625?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from zeerererkzzjzznz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/23040 and -137\/18.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670770 divided by -9.\nAnswer: 74530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/4 + (-5)\/1. Suppose -161*q = -829 + 185. Let g be 1\/(-8) + 1 + (-204)\/160. Which is the nearest to 2\/5? (a) d (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42715538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407124200?\nAnswer: 2, 5, 7, 290803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - (0 - -13)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = -f, 5*i = -13*f + 11*f - 9. Calculate the greatest common divisor of 1845 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(15\/12)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300333131 + 121?\nAnswer: 300333302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 452519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 15*d**2 - 33*d - 11. Give w(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19161, 42380, 65599, 88818, 112037, 135256?\n\"Answer: 23219*a - 4058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 = -0. Let k(g) = 13*g - 17. Let d be k(i). Suppose -m + 2*m - d = 0. Calculate the remainder when m is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1802, 1798, 1808, 1844, 1918, 2042?\nAnswer: 2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702420?\nAnswer: 2, 3, 5, 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14007 = -13766*t + 14028*t - 11931 for t.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-369*c + 369*c - 46*c**2)*(0*c + 0*c + 2*c)*(2 - 3 + 2) to n*c**2 + d*c + p*c**3 + y and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z + 4. Let b be j(5). Let l be 4 - (-2 + (-2)\/b). Suppose -2*r = -3*o + 3*r + 44, 0 = l*o - 3*r - 77. Solve 3 = 5*y + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*q + 36 = -201*q. Solve -5*a - q = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52176 divided by -3.\nAnswer: -17392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30 = 5*q + 1, b + 3*q + 12 = 0. Let s be (7 + -4 + 3)*2\/4. Find the second derivative of -12*f - b*f**2 - 5*f**2 - s*f**2 wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 11*m + m)*(2 - 2 + 4)*(0*m + 9*m + 0*m)*(-m + 3*m - m).\nAnswer: 396*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*w = -16, 0 = -4*k - 4*w - 16 + 90 - 25 - 24 - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - s - 128 = z, 0 = z + 5*s - 36. Let h = z + -23. Let i be 15000\/16*(-30400)\/h. Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddpdpdpd. What is prob of sequence pdp?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1221021001001 (base 3) to base 14\nAnswer: 1cac2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 710 and 7576126.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11466 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-8)\/4 + 3). Let g(h) = 26*h**3 + h**2 + h. Let k be g(r). Let p be 1088\/26 - 4\/k. What is the highest common divisor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 - -5. Let g be (-2 - (-11)\/5)*3. What is the second smallest value in 0.2, l, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 37786111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*w - 2*w. Suppose 61 + 27 = w*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by -57526\nAnswer: -163\/57526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -513776\nAnswer: -1\/256888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnfn when four letters picked without replacement from {f: 5, n: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 1 in increasing order.\nAnswer: -5, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9. Let q = s - 2. Solve 3*d + q + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - -174?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/189)\/(((-655)\/(-393))\/(5\/1))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 17*r - 27. Let m be d(15). Solve -4*t + 5 = -m*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9*d = 9. Which is the nearest to 0? (a) -0.02 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 0.1, -43\/60, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 5. Let d be y(-6). Let t = -22 - d. Let i be 2\/t - 477\/324. What is the biggest value in i, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.086 + 15.\nAnswer: 14.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 0.03, 3, -13, 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1248 or -1249?\nAnswer: -1249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 21. Suppose h - 121 = -z*a + a, 4*a = -4. What are the prime factors of h?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*k + 1204*k + 150*k in the form j + q*k and give q.\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 7*x**2 + 29*x - 37. Give a(-11).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/23, -4, -0.4, 3, 8, -3 in increasing order.\nAnswer: -4, -3, -0.4, 4\/23, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49470, -59022, -68574, -78126, -87678, -97230?\nAnswer: -106782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17940 = -v + 2*k, 13*k = -2*v + 18*k + 35874. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 2, e: 7, v: 1, a: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 2*c**5\/3 - c**4\/24 + c**3\/6 + 8*c**2. Let d be q(1). What is the greatest common factor of 60 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 9. Let x(i) = -i + 2. Let a(d) = -f(d) - 6*x(d). Let h be a(0). Sort 1, -5, -17, h in ascending order.\nAnswer: -17, -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1001 + -2?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(25)\/sqrt(5) + sqrt(80)\/sqrt(4).\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9*t - 9*t + 19*t = 38, -1213 = 3*u - 26*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2 = -2*r - 13, 5*r + 21 = 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -177, 50, 405, 918, 1619, 2538, 3705?\nAnswer: 5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12089569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*w + 74, 2*w + 2*n + 34 = 3*w. Suppose -w = -4*t + 40. Let m = 54 - t. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/960)\/((-22)\/(-16) + -1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 34*d**2 - 71*d + 72. Let r be x(-32). Let s = 346 - r. What is the greatest common factor of s and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 = -2*p - 4*z, -6 = -3*z. Let o be -32*(-16 - 504\/(-32)). Solve o*h = p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence born when four letters picked without replacement from {z: 1, o: 8, r: 3, n: 1, f: 2, b: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, 36, 242, 542, 942, 1448, 2066?\nAnswer: 2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177609?\nAnswer: 3, 73, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 10*s. Let p(f) be the third derivative of f**4\/12 - 70*f**2. What is p(l(b))?\nAnswer: 4*b**2 - 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, -6.77, -1\/2 in decreasing order.\nAnswer: -2\/33, -1\/2, -6.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31223301 (base 5) to base 2\nAnswer: 111110111110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 6. Let o be d(2). Solve -3 = 2*w - 3*w - 2*c, 0 = 2*w + o*c - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -638, -1025, -1410, -1793?\n\"Answer: i**2 - 390*i - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.27998148 - 5.28. Round o to seven dps.\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157207092 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/8*-6*(-18)\/12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a - 5. Let u(q) = 143 - 50 - 95 + 5*q. Determine -4*n(w) + 9*u(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 32132.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45070044 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*f + 115116 = -164410, 0 = -5*t + 2*f + 349391. What is the ten thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -24.625?\nAnswer: -9.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 36 = -4*o + 5, r + o - 21 = 0. Suppose r*h - 1235 = 4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10638996 is divided by 954.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 3\/8, 953, 0.34, 0?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l**2 + 14*l. Let g(q) = q**2 + q. Calculate 10*g(n) - z(n).\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (4 - 7 - -7 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119692 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let z be x(-8). Calculate the common denominator of (2052\/(-16))\/z + 2 + -1 and 2 + -1*(-108)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2763*f**2 - 1359. Let a(d) = 69*d**2 - 34. Let q(w) = -162*a(w) + 4*u(w). Find the first derivative of q(s) wrt s.\nAnswer: -252*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3182151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51021.\nAnswer: 3, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30534*j*k**3 + 2345*k**3 - 16*k**2 with respect to j.\nAnswer: 30534*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167022 is divided by 55667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 2*p - 460*n + 455*n, -3*p + 3*n - 66 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - 4\/(-8). Suppose m = 5*b - 3 - 52. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24064928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7342?\nAnswer: 2, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-39047.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-250)\/(-4) + (-2)\/4 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9008, -2\/3, -29310, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*a - 3*a. Let p = -3 + a. Suppose 2*g = 2*n + 13 + p, 3*n = -5*g - 8. Let h(u) = -u**3 - 7*u**2 - 5*u + 7. Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let n(r) = 18859*r**2 - 55*r - 10. Let c(v) = -179160*v**2 + 528*v + 96. Let k(t) = -5*c(t) - 48*n(t). Give m(k(g)).\nAnswer: 177925248*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5178.3 - 5178.360947. Let h = l + 0.061. What is h rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1658*v - 1 + v**3 + 2*v**2 + 1658*v - 3*v**3 - 2*v**3. Let k(w) = -9*w**3 + 5*w**2 - 3. Calculate -2*k(s) + 5*r(s).\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 573.3789 micrometers?\nAnswer: 573378.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3, -4*v - 5*d + 0*d + 235 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from ggiiu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - c + 35 = -3*n, 4*n + 4*c = 68. What is the smallest common multiple of n and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -3.39\nAnswer: 47.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 + -11)*1\/((-9)\/99). Solve -q = -w - 4*z, 5*w - 25*z + 23*z = 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b - 77*b + 2*y - 9 = 0, 0 = 4*b + 48*y - 236 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*u + 10 - 52 = 0, -u = 4*x - 128. Suppose -4*w + x = -69. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 44. Let n be q(20). Let k be ((-30)\/(-18) + -3)\/(3 + 0). Which is the closest to k? (a) -2\/11 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, o: 7}. Give prob of picking 3 c and 1 o.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122032211 (base 4) to base 8.\nAnswer: -1321645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -119. Solve u = -w - 3*q + 8, -5*q = 2*w + w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let t(d) = d**2 + 60*d + 61. Let g be t(-59). Are m and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6097, -24406, -54923, -97648, -152581?\nAnswer: -219722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42911 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g + 1 = 0. Let f(h) = -5 + 4*h - h - 2*h - g. Let c be f(10). Solve -6*v = -c*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 - 8*g**2 + 19*g - 37. Is m(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 + 8*l**2 + 4*l - 17. Let d(z) = 15*z**3 + 33*z**2 + 14*z - 69. Let k(i) = 3*d(i) - 11*r(i). Give k(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -36. Which is the closest to -6\/7? (a) u (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kuvkkkykv.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 199*j**3 - 5*j**2 + 6*j + 42. Let l(i) = -i**2 + i. Let u(h) = c(h) - 6*l(h). What is the third derivative of u(p) wrt p?\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9 + 3 = 0. Let c(j) = -x*j - j + 4*j + 2*j. Let k(n) = 10*n + 12. Let f(i) = -i - 1. Let s(w) = 12*f(w) + k(w). Determine c(s(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*u + 4, -2*k = 2*k + u - 14. Let b = 239.43 - 239.73. What is the third biggest value in b, 2, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 - 97*w + 574. Give a(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 15, -2\/5, 0.614, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22123 + 102102?\nAnswer: 130231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 406, 401, 394, 385?\n\"Answer: -v**2 - 2*v + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 5*n**3\/3 + 3*n**2\/2 - 457*n. Give l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -114.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070070862?\nAnswer: 2, 19, 54475549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 803972666 divided by -4\nAnswer: -401986333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 12996 + 636. Suppose 4*f - f - p = -3*j, 4*f = 3*j + 3275. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -19*x - 8 - 5*x + 5*x - 63*x + 0. What are the prime factors of n(-14)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -498 - 654. What is the greatest common divisor of 72 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (122 + -121)\/(2\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 2. Let s be m(1). Let i = 62 + -36. Let f = i - 25.9. What is the closest to f in 0.2, s, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 5*w + 5. Let q be o(-5). Let z = q - 25. Solve -3*r = -2*v - 25, -v + 6*v - r + z = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*p**2 + 883 - 883 + 0 + 0 + 2*p**2 - p**2 - p**2 + 0*p**2 + (-3 + 3 + p**2)*(1 + 1 - 3) + 2*p**2 + 4*p**2 - 10*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - j + 4*j**2 + j**3 + 8*j**4 - 9*j**4 - 4*j**2.\nAnswer: -j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 15 - 6. What are the prime factors of (-91)\/g + (-2)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1 + 1)**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 10*v**2 - 9*v + 16. Determine m(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x + 5 = -1, 0 = 4*w + 4*x - 12. Solve -5*h + w = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79867 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = -5*t, -y - 2 = -2*t - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*i = -1, 3*q - 12 = 5*q + 3*i. Let z be (-7 - q)*(-1 + -1). Let y = 3 + -2.8. What is the closest to -2\/5 in y, z, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = -2*c. Let g(b) = -b - 1. Let y be g(c). Calculate the remainder when 55 is divided by 165\/9 + 4\/y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*l**3*q*x - 2*l**3*q + 15*l**2*q - l*q*x + q*x wrt l.\nAnswer: 162*q*x - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-1))\/3)\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -438. Let j be 3\/(-2)*84\/18*-3. Solve 5*s + 2*t = -0*t + u, 5*s - j = -t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 3. Suppose -4*f = i + 13 + 4, 0 = 5*i - 2*f - 25. Is x(i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 5}. What is prob of sequence ii?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose 4*j = 3*k + x*k + 79, -5*j + 2*k + 103 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16145941?\nAnswer: 7, 43, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let f(n) = 16*n**3 + 9*n**2 + 3*n - 10. Let l(d) = f(d) - 4*r(d). What is the units digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -1830559.5.\nAnswer: -1830559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/39)\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 17, n: 1}. What is prob of sequence cccn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 2 (c) -242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -7 - -28) + 7 + -22 + 8\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 17*k + 40. What is p(-18)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 0.2, -1\/9.\nAnswer: -1\/9, 0.2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*j**3 - 4*a**2*j**2 - 15*a**2 - 157*a*j**4 wrt j?\nAnswer: 6*a**2 - 3768*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t + 88. Let u = -16 - t. What is the remainder when 37 is divided by (-3)\/(-1*u\/40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -7992385\nAnswer: 103901005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 8*y - 22. Suppose -5*c - 3*l + 33 = 4, -2*c = -5*l + 7. Calculate s(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2279170 to the nearest ten thousand.\nAnswer: -2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15050 - 15045. Which is the third biggest value? (a) 2\/15 (b) s (c) -1\/26 (d) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25979 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20 + (0\/1)\/(-5). Let z be (24\/b*-5)\/1. Let p be 14\/z + 18\/(-54). Let r(k) = -2*k**2 + 3*k - 2. What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/11))\/((n\/n**(-2\/5))\/n))\/(n**(2\/3))**(-1\/23)*(n\/n**(1\/2)*n\/(n**(-5\/2)\/n))\/(n*n**(-2)*n*n*n**(-4)) assuming n is positive.\nAnswer: n**(33437\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544208 divided by -1.\nAnswer: 544208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 13*u + u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:46 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12838?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 826816865081+0.3\nAnswer: 826816865081.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 59. Find the common denominator of (-2)\/8 - 202\/l and 55\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -101?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 + 3. Let l(h) = -h**3 + 1. Suppose 18 = n - 11. Suppose 0 = 2*x + 17 - n. Determine x*l(u) - 2*c(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-12412)\/(-20) - 4\/(-10). Suppose 0 = -p + 6*p + 5, -2*p + v = 4*j. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h + 3. Calculate o(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*a, -y - 2*a - 4 = -1 - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*t = 11, 2*t = -3*t - 25. Let i be g\/3 + (-1 - -26). Let v = -12916 - -12942. Do i and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5968 and 215221?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258000 and 1161?\nAnswer: 2322000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(136) + sqrt(136))\/sqrt(8) + sqrt(136)\/(-5*sqrt(8)*-2) + 5 + 5.\nAnswer: 21*sqrt(17)\/10 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3321)\/738*7\/27)\/(7\/(-5))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2167022073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 4*v**2 + 2. Let i be (-3)\/9 + (-11)\/3. Let u be d(i). Find the second derivative of -w + u*w + 3*w**4 - 5*w**4 wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f. Suppose 5 = l, w - 35 = -2*l - f*l. Suppose -h + t + 5 = 0, -h - 3*h = -5*t - w. Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52272 and 108.\nAnswer: 52272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1292713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = -5*u + 11, -u = -2*r + 9. Let n be (18\/r)\/3*104\/39. Let p(i) = -i**3 + 4*i**2 + 2*i + 3. Calculate p(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*n = -m - 36, -2*n + 27 = -3*m. Let o(b) = -1174*b**2 - 8*b + 22. Let r be o(m). What is r rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1002204*g**2 + 3006581*g**2 - 1002160*g**2 - 1002211*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2798, -2985, -3204, -3449, -3714, -3993, -4280, -4569?\n\"Answer: n**3 - 22*n**2 - 128*n - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 886679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 58.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.248 - -0.052. Put -2\/11, h, -2, -0.1 in decreasing order.\nAnswer: h, -0.1, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (1355 - 1384).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + 18) - (5 - 3) - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 0*w + 2*w)*(24*w**2 - 65*w**2 + 17*w**2) - w**3 + 2*w**2 - 2*w**2 to the form r*w**3 + m + g*w + u*w**2 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 55*h + 588 = 178*h. Let u be 3\/(2\/(-4) + 2). Suppose -2*d + 3*r - 6 = 0, 1 = -u*d + d + r. Solve 0 = d*k + 3, 10 = 2*i - h*k - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8250539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*s - 94, -4*o - 36 = 3*s + 71. Let b = 60 + o. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 23, 11, -3?\n\"Answer: -b**2 - 7*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.425 in 1, 5, -5, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*x - 6. Let z = x - -23. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(l - l - l) + (-2 + 3 - 3)*(219 - 219 - 290*l).\nAnswer: 578*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-194026)\/(-18) + 3 + -1 + 532\/(-2394) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.374635 to the nearest integer.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105986887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -1796\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 796, 3178, 7146, 12700, 19840?\n\"Answer: 793*q**2 + 3*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3970 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-4)\/16)\/(-3 + 2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20938 and 6707?\nAnswer: 7391114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = -5*h - 168 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1070 + -3176\/3. Let m(j) be the first derivative of 4*j - q*j**3 - 7*j**4 + 3 - j**2. Factor m(x).\nAnswer: -2*(x + 1)*(2*x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2866*i*u**2 - 2*i*u - 19615*u wrt u?\nAnswer: -5732*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + 5 - (-9 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8028 divided by 2676\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wloxlwzn. Give prob of sequence zx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008191724 to 7 dps.\nAnswer: -0.0000819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:37 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6125*f**5\/3 + 10850*f**4\/3 - 7640*f**3\/3 + 2672*f**2\/3 - 464*f\/3 + 32\/3.\nAnswer: -(5*f - 2)**3*(7*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 23, 67, 135, 233, 367?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117947 is divided by 16673.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 20*r**2 - 32*r + 788. Give q(18).\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 15. Let q(k) = -k + 3. Let t be q(6). Let m be (-1)\/t + (-2)\/6. What are the prime factors of u(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 308 - -4?\nAnswer: 30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:41 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*s - 49, -2*m + s - 15 = -42. Suppose -f = m - 14. Solve n - f = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -579 in -367, -2, -1?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -880 bigger than -881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 13*b + 5. Let c be i(6). Find the second derivative of 4*g**5 + 77*g**2 - c*g - 77*g**2 wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**3 - 1236*f**2 + 72*f - 2068612 wrt f.\nAnswer: 18*f**2 - 2472*f + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726812?\nAnswer: 2, 109, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -1\/36*s**5 + 0*s + 0 + 1\/72*s**6 + 0*s**3 + 107*s**2 + 1\/126*s**7 - 5\/72*s**4. Factor k(h).\nAnswer: 5*h*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 757 + 68. Calculate the smallest common multiple of 21 and b.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - 2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 1. Let u be (2\/4)\/(-4 + 14\/4). Let i(k) = -5*k**3 - 2*k - 6. What is u*i(r) + 6*t(r)?\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/120 - p**5\/60 - 121*p**2. Let y = 1 + 0. Give g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -90.\nAnswer: -19\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.2733ng in tonnes?\nAnswer: 0.0000000000007242733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 5284557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -280*l**3 + 41985*l**2 + 1573330*l + 84165 = 0. Calculate l.\nAnswer: -31, -3\/56, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 433\/2, -103, -369 in descending order.\nAnswer: 433\/2, -0.1, -103, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 13*s + 9. Give y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244299521.\nAnswer: 79, 3092399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = 14*y - 1969. Suppose t + 23 = 4*v + y, -3*t = -4*v - 483. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2)\/((-12)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c. Let v(q) = -q**3 + q**2 + q. Let d(r) = 2*r**3 - 4*r**2 - 4*r + 4. Let y(w) = -d(w) - 3*v(w). Give y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1521 and 7127991?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 + 1518*h\/5 - 9216\/5.\nAnswer: 3*(h - 6)*(h + 512)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1691956\/17 - 99438. Is k less than or equal to 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 + x - 23 - 9*x**2 + 36 - 28 + 53*x**2.\nAnswer: 62*x**2 + x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10875*a**4 + 10*a - 4780 wrt a.\nAnswer: -130500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(423\/45) + (-1 - 2) + 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -v, -30*v + 130 = 5*b - 25*v for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 72. Suppose 5*f - 9*f + 28 = r. Solve 2*l = f*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5473, -240 in decreasing order.\nAnswer: 2, -240, -5473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27 = -0*o. Suppose 6*m + 2*g = 3*m + 59, 4*m - 5*g - 94 = 0. Let f = m - o. 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: Let d(f) = -2*f**2. Let u(p) = -4138*p. What is u(d(y))?\nAnswer: 8276*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87001\/6 + 14492. Is t >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -647, -661, -675?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3392*w**2 + 117*w - 128. Is r(3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-165)*20*3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 55 = 393. Let q = -115 + o. Let i = 109 + q. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 600 - 600.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3553?\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-14)*(-1362)\/(-30645).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132246.\nAnswer: 2, 3, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 - 3. Let q = -0.1 - p. Let j = -17 - -12. Sort 0.1, q, j in decreasing order.\nAnswer: q, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -2*f, 18 = 4*f + p - 17. Suppose -5*w + 11 = o, -2*w = o - 7 - 1. Let q be (-1)\/3 + 434\/o. Calculate the greatest common factor of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - d = a + 3, 10111*d - 9*a - 11 = 10107*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - -33. Suppose 2*l + 115 = 5*q - 0*l, 5*q = -l + d. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2715, 3408, 4101, 4794, 5487, 6180?\nAnswer: 6873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17707?\nAnswer: 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272910 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 248836.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 586 - 557. Calculate the greatest common factor of 725 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 607, 606, 605, 604, 603, 602?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 16. Let l be t(-11). Which is the closest to -0.2? (a) l (b) 1\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 70. Let r(j) = -j**2 + 11*j + 7. Let i be r(9). Let x = b + i. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 2*n - 2. Let d be f(3). Let z = 70 - 208\/3. Let r = 0.4 + -0.3. What is the second biggest value in d, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 64. Suppose y + 7*i - 3*i - n = 0, -5*i + 23 = 2*y. Suppose 3*z - 25 = 5. Solve 2*p = z, y*t = 3*t - p + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6)*87\/2. What is the highest common factor of 58 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -12 (c) 4286 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) -3\/10 (c) -4 (d) -0.5 (e) 6922\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b + 4*b - 33*b)*(3414 - 426*b - 3414).\nAnswer: 17040*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/9))**(-6\/17) assuming o is positive.\nAnswer: o**(-26\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 69, 106, 143, 180?\n\"Answer: 37*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1287 + -1198.1. Let p = w + -94. Let l = 5 + p. Put 0.3, -2, l in ascending order.\nAnswer: -2, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 7*j + 22. Let t be 16\/6 + 2\/(-3). Let h(a) = -1 + 1 - 3*a**2 - 2*a**3 + 2*a**t. Determine h(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124951, 249900, 374875, 499888, 624951?\n\"Answer: 2*r**3 + r**2 + 124932*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42000341 (base 5) in base 8?\nAnswer: -1237446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**11\/a)\/a)\/a)\/a**(-1\/4) assuming a is positive.\nAnswer: a**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + k**3 + k**2 + (21*k**2 + 12*k**2 - 3*k**2)*(3 + k - 3) - 10*k - 10*k - 2*k - 2*k**3 as n*k**3 + x*k**2 + h + c*k and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-602)\/924 - 25\/(-30). Suppose 4\/11 - 2\/11*s**3 - 4\/11*s**2 + g*s = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 2*o + 4*o)*(2 + 0 + 0)*(-o**3 + 0 + 0 + 2*o**3 - 2*o**3 - 2*o**3 + (1 + o**2 - 1)*(-2*o - 3 + 3)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 5*u - 3*r - 2, 0 = -5*u - 5*r + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 159.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*h - 62 + 103, -3*r + 34 = h. What is the remainder when 178 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. Let r = -4 - -8. Let m = 4 - r. Which is the nearest to 0.1? (a) -1 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(144)\/sqrt(8) + sqrt(2))*1.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:33 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 32 = -138. Let f = 286 + v. Suppose -51 = -3*j - 2*n + 37, -4*j - 2*n = -f. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553583163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -43, -48?\n\"Answer: -5*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/42*(-348)\/(-29)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.9. Suppose 2*n - 4*h = -n + 22, -3*h - 3 = 0. Let u be (525\/30 + -15)*n\/100. What is the biggest value in -0.5, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**15)**18\/((m\/m**15)\/m**(-1\/28)) assuming m is positive.\nAnswer: m**(-6161\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let z(h) be the second derivative of -17*h**4\/2 + h**3\/3 + h - 3. Determine z(i(c)).\nAnswer: -102*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + t + 2, -6 = -2*m - t. Let j(h) = -m*h + h**2 + 2*h**2 - h + 3. What is the units digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*z + 171*z - 82*z = 82652. List the prime factors of z.\nAnswer: 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -32, 4, 14 in decreasing order.\nAnswer: 14, 4, 2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 q when four letters picked without replacement from {u: 9, q: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 9. Let f be c(-5). Let l be f\/(-8) + (-29)\/(-2). Suppose 468 = 3*p - 2*i, 2*i = -p - 3*i + 139. What is the greatest common factor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313513819?\nAnswer: 31, 10113349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*k + 2929 = 7*p + 2911, -3*p = -4*k - 8*k + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((9493\/(-2515645))\/((2\/15)\/(-1)))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshjwdr. Give prob of sequence drs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*j - 5192 = 8489 + 9677 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 17748*y**2 + 283392*y - 1132800 = 0. Calculate y.\nAnswer: 8, 5900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 24*x**2 + 14*x + 32. Let v be o(24). What is the greatest common divisor of 46 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/9)\/a)\/a**16 assuming a is positive.\nAnswer: a**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1746, 3505, 5278, 7071, 8890, 10741, 12630, 14563?\nAnswer: 16546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -363*x**2 + 120*x**2 + 122*x**2 + 119*x**2. Let l(u) = 1271*u**2. Determine h(l(p)).\nAnswer: -3230882*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 15*q - 4. Let f = 4600 + -4599. Determine v(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8944 and 0.024.\nAnswer: 8944.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66.7211 and 8978256?\nAnswer: 8978189.2789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/(-2))\/4)\/(-1). Differentiate 1 + o*z - 3*z - 4 with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-286655201\nAnswer: 114662080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7642*h**2 + 13937*h**2 - 6303*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by -296.\nAnswer: -71\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 5, 4, 9234 in descending order.\nAnswer: 9234, 7, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -149547.\nAnswer: -1\/49849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 146.683 and -19173.05.\nAnswer: -19026.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 295014, -0.5, -3, 5, 1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - 342. Let p = -268 + 57. Let t = p - s. What are the prime factors of t?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v - v**2 - 26 - 38 + 41*v - 3*v = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-12)\/(-8) + -1) - (-15)\/(-6). Let s(o) = -5*o**2 + 3*o + 2. Determine s(a).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22411 * -50.\nAnswer: -1120550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*q**3*w**3 - 2*q**3 - 2*q - 2*w**2 wrt w?\nAnswer: -468*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 31*z**2 + 16*z + 6. What is b(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a1a3 + -4?\nAnswer: 22a19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 1, q: 2, d: 2, z: 1, f: 2, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 553.6 - 556.6. Which is the third smallest value? (a) f (b) 0.5 (c) 241 (d) -3\/2 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110110000000 (base 2) to base 14\nAnswer: 5a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 6. Let t be n(-3). Let f(j) = -j**3 + 2*j**2 + 2*j + 47. What is the tens digit of f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 123*m - 246*m - 22 + 7 + 126*m - 5. Calculate c(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -54. Suppose w = 24*u - 77. Calculate the greatest common divisor of 120 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j**2. Let q(o) be the first derivative of -o**2 - 32. What is d(q(w))?\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2948970413 - 2948970584.99999852. Let z = r + 172. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/3 + (-28)\/7. Let m = f + 13. What is the closest to 3 in m, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11 = -i - 4, 5*v = -3*i - 51. Let m(f) = -22*f + 101. What are the prime factors of m(v)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.862 + -0.038. Let q = 0.1 - o. Let z = 1.2 - 1. Which is the second biggest value? (a) q (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-3)*(-6 - -3). Calculate the remainder when 39 is divided by ((-6)\/j)\/((-3)\/(-50)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttitttitttttt. What is prob of sequence itti?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 16*k**2 + 27*k + 8. What is o(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20416108 divided by -13.\nAnswer: -20416108\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 66. Let l = -30 - p. Which is the smallest value? (a) -3 (b) 1 (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y**(-1))\/y))*(y**6\/y)\/y)**(2\/5))**5 assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*u - 585 = 0, 2*u - 3*u - 234 = 2*i. Let r = 83 + i. Let b = 56 + r. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 40, -32887 in ascending order.\nAnswer: -32887, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((2 + -3 - -62) + (32 - (14 - -11)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -1\/12*m**4 + 0*m + 0 - 3*m**2 + 0*m**3. Let y(l) = 2*l. Calculate w(y(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*j - 8*j - 9, -4*j = 4*f. Let p = -246 + 245.995. Which is greater: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -31, -234, -4 in descending order.\nAnswer: 238, -4, -31, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(-2 + 1 + 2)*(1 + 2 - 2)*(1904 - 1904 - 16*u) + 25*u - 25*u + 7*u**2.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d - 5*s = 56, 0 = 4*d + 2*s + 56. What is the hundreds digit of (d\/16)\/(1\/(-156))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*s**3 - 2*s**2 + 5*s*x**2 + 289*s + 5792*x**2 + 6*x + 2 wrt s.\nAnswer: 24*s**2 - 4*s + 5*x**2 + 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474\/7*(-70)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158995, -317843, -476543, -635095, -793499, -951755?\nAnswer: -1109863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 339696 and 9072?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4637 (b) 0 (c) 1 (d) 0.07 (e) 1\/8 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1964103 is divided by 327349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13004 - 8947. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 934932.959 to the nearest 10000.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301231 (base 5) to base 6.\nAnswer: -112142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 16. What are the prime factors of s(13)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165246*d**4*y + 2*d**3*o*y + 4551*d*o*y - d*o - 4*o*y wrt d.\nAnswer: 1982952*d**2*y + 12*d*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1192 = -2*p, 3*p - 4 + 16 = 0. Suppose -289*x = -d*x + 70. Suppose 4*q = 476 + 284. What is the greatest common divisor of x and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/5 + 1832*h**2\/3 - 3499118*h\/15 + 2328676\/15 = 0.\nAnswer: 2\/3, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201116 and 91750?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 114. What is the smallest common multiple of m and 1\/(1\/(-2)) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*n**3 + 26*n**2 - 8*n - 25*n**2 in the form x*n**3 + l + f*n**2 + i*n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 418, 372, 324, 274?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 1 - 4 + 42 + 5. What is the units digit of z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*i - 5*i + 155 = 0, 0 = 4*i - 20. Suppose 2*s - 378 = k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4072.26124 - -3.046\nAnswer: -4069.21524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234.12 + -233.88. Let x be (-3)\/(-12) - (-62)\/8. Is d <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. Solve 5*q + 5 = 2*o, 3*o - b*o - q + 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lphmhub. What is prob of picking 1 u, 1 l, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 5587?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4993 times 703\nAnswer: 3510079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 51 = -3*u. Suppose u = 5*l + 36. Let f(b) = -b**3 + 3*b**2 + 5*b - 5. Let d be f(4). Put d, 1, l in increasing order.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2534172418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8354, 8353, 8352, 8351, 8350, 8349?\n\"Answer: -i + 8355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887303?\nAnswer: 179, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2990 = -63*y + 178*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - 6) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from doops.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 371 - 213. Let p = g - 238. Let s be (0 + p)*12\/(-30). What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 232131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j - 21. Calculate i(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47943, -191676, -431223, -766584, -1197759, -1724748?\n\"Answer: -47907*b**2 - 12*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(3*c - 8*c + 12*c) + 2 - 4 - c + 6*c to the form t*c + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -130.7. Let n = w + 5.3. Let v = 12 + n. Which is the third smallest value? (a) 1\/5 (b) v (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1699549 - 0.17. Round l to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -3*v, 0 = 3*h + v + 80 - 72. Put 1, -3, h, -53 in decreasing order.\nAnswer: 1, h, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100 + -10010001001?\nAnswer: -10011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.351 rounded to the nearest integer?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzxzczczcxz. Give prob of sequence cx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*r**3 - 31*r**3 - 28*r**3 + 67*r - 1 to h*r**3 + t*r + u*r**2 + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 39. Let a(o) = -3*o + o**2 - 3 - 2 - 3. What is the tens digit of a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**3 - i**3 + 3 - 3*i**3)*(5*i - 4*i + 45*i) in the form v + g*i**2 + n*i**3 + c*i**4 + a*i and give a.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) + 1 + -1. Which is the second biggest value? (a) 1\/4 (b) -0.5 (c) -0.06 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/114209147 and 35\/9.\nAnswer: 1027882323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -1187, -4156, -9955, -19532, -33835, -53812, -80411?\nAnswer: -114580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.241 + -0.041. Let t = b - 4.37. Let w = 0.03 - t. Sort -0.1, w, -0.4.\nAnswer: -0.4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*i + 16 = 0, 5*w + i + 1 + 3 = 0. Suppose w = -2*x + 2 + 6. Suppose -q = -0*q + x*l - 211, 3*q = 4*l + 633. 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 34*k - 8*k**3 - 34*k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -126\/11 (b) 2 (c) -1283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d + 5. Let m(q) = 2*q**2 - 7*q + 9. Let t(p) = -11*c(p) + 6*m(p). Let g be ((-46)\/184)\/(59\/(-20) + 3\/1). Give t(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 4:37 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (7 - 198\/6)*1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86969, -89529, -92087, -94643, -97197, -99749?\n\"Answer: g**2 - 2563*g - 84407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959 times -0.8?\nAnswer: -3167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14274.4403 or -0.1?\nAnswer: -14274.4403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/782, 56.\nAnswer: -1\/782, 0.2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/24)\/((-2)\/(-12)). Let k = d - 5. Let r(n) = -n**2 + n + 3. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*-1*(sqrt(399) + sqrt(399)*-2)\/sqrt(7))\/((-6*(sqrt(27) - sqrt(3)) + 1*sqrt(300))*-2).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - ((-15)\/6 - 2). Suppose 5*m = q + 18 + 3, 2*q = p*m - 12. Suppose 3*v = 2*d + 46, 6*d - q*d - 8 = 0. Solve -4*i + v = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 - 202. Suppose -3*p - 242193 = -i*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p + 42. Calculate m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -9*b + 13. Solve 2*f + b = h, f - 3*h = 2*f - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*-2*(2 + sqrt(180) + sqrt(180) + 1*(-1 + sqrt(180)) + sqrt(180) + 2 + 5)**2.\nAnswer: -17663 - 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -22*s + 2717. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*j**2 + 149*j**2 - 92*j**2 + (0 - 4 + 1)*(-2*j**2 + 3 - 3) + 4*j**2 - 5*j**2 - j**2 in the form x*j + i*j**2 + w and give i.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*w - 6*w - 4*w + 16*w.\nAnswer: 51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*u + 13 = 0, 84231*z - 84235*z = -5*u - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {x: 2, b: 2, n: 6, q: 2, i: 2}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 14, x: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 311837 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(700))*-1)**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33044\/189 in -0.2, 3, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 + 574?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.6 - 4.6. What is the closest to 1\/6 in t, -1\/4, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.91*0.02.\nAnswer: -0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:57 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 107. What is the common denominator of l\/35 - (-755)\/(-50) and 63\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3663 - 65977\/18. What is the common denominator of n and ((-33)\/(-825))\/(12\/(-710))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0*u**3 + u**3 - 5*u**2 - u**2. Let s(v) = v**3 - 5*v**2. Let t(o) = -5*m(o) + 6*s(o). Determine t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 107*g**2 - 2. Let t(w) = -2*w**2 - 4*w + 109. Calculate t(h(l)).\nAnswer: -22898*l**4 + 428*l**2 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13090406 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k + 1. Let s(i) = -i. Suppose -11*x - 44 = -15*x - 2*p, 0 = 5*x - p - 41. Let v = 0 + x. Let w be -3*(v\/3 - 2). Calculate w*s(d) - 2*n(d).\nAnswer: -2*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 7406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 151. Let i be f(-29). What is the units digit of (-2 + -4)\/(i\/468) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/23896 and 5\/114?\nAnswer: 1362072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1778, -1778, -1780, -1784, -1790?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7\/4)\/a*a)\/((a\/(a*a**(-1\/3)))\/a))**(-5))**42 assuming a is positive.\nAnswer: a**(455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 165\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 21*q + 27. Let j be d(-22). Suppose 0 = -5*l - 0*l + 1800. Suppose j*o - o - l = 0. What is o rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/509 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -343069 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 142501*m**2\/2 - 4*m - 6. Let g = -1 - -5. Let i be t(g). Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -58. Solve -9 = 4*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(-2*w + w + 0*w) - 5 + 5 + 3*w**2 + 2*w**2 - w**2 + 7 + 0*w**2.\nAnswer: 6*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.95 + 40. Let f = d - 0.05. What is the closest to f in -4\/7, 3\/7, -3\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*d. Suppose -d*a - 4*z + 146 - 21 = 0, 2*a + 2*z - 80 = 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379348.\nAnswer: 2, 419, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 - 0.15. Let u = 10.8 - 10.831. Let s = u + 3.031. What is the second biggest value in k, -3\/2, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a - 38 = -4*q, a = -5*q + 16. Let k = 6 + 13. Let m = -8 + k. Calculate the remainder when m is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713767*h - 713849*h - 747 - 1139 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2\/3 + 71885680*g - 775132648359360 = 0.\nAnswer: 21565704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.423 and 0.3?\nAnswer: 3.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 86*z**7\/105 - z**6\/120 + 309*z**5\/20 - 516*z**2. Find the third derivative of f(u) wrt u.\nAnswer: 4128*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.85 + 3.15. Let u = j + -2. Let i = -3 + 2.7. What is the closest to u in -5\/2, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*g**3 - 25*g**3 - 22*g**3 - 1077*g**2 to w + h*g**2 + l*g**3 + o*g and give h.\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -5*a**6\/144 + a**5\/12 - a**4\/12 - a**3\/6 - a. Let f(h) be the second derivative of b(h). Factor f(u).\nAnswer: -(5*u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -222 - 3328. What is the highest common factor of w and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27, -8\/11 in descending order.\nAnswer: 27, -8\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -44. Suppose s*g = 7*g - 1260. What are the prime factors of 10*4\/(-3)*g\/40?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*f - 142 = 0, 5*f - 546 = -5*j + j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t. Let y(j) = 3*j**2 + 13*j. Suppose -606*i + 608*i = 5 + 3. Give i*x(b) + y(b).\nAnswer: -b**2 + 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y*y*y\/y**(-22)*y)*y*y**14\/y*(y*y**(-2\/27))\/y**14 assuming y is positive.\nAnswer: y**(-623\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:22 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-148597)\/(-9852) + 2\/8. Let o = w + 1\/2463. Find the common denominator of -1\/4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 21. Let l(i) = -3*i. Calculate l(g(n)).\nAnswer: 6*n**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/5410 and -57\/80068.\nAnswer: 400340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0249286288 rounded to 3 dps?\nAnswer: 1.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.1 (b) -16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 1. Let h = 71 - 51. Suppose f = 5*f + h. Determine w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629625751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*o - 52 - 1581 - 1777. What is the smallest common multiple of o and 1555?\nAnswer: 17105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u + 153 = 70*u + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059237003 to the power of 1\/2, to the nearest integer?\nAnswer: 32546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2. Let k(i) = 4*i. Let h(o) = -o. Let v(z) = 22*h(z) + 6*k(z). Calculate b(v(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540728 by 2.\nAnswer: -270364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665266737 to the power of 1\/2, to the nearest integer?\nAnswer: 51626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/70 and -17\/1162.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 1. Let f be r(-9). Suppose -i - f = -5*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, h: 1}. Give prob of sequence wv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - z**2 + 0*z + (18 + 8 - 19)*(5*z**2 - 2*z**2 - z**2) + (6 - 4*z - 6)*(3*z + z - 5*z) to the form x + a*z**2 + n*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7264 and 2234?\nAnswer: -16227776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38308, 76627, 114946?\n\"Answer: 38319*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 9}. Give prob of sequence nns.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 3 (b) -61 (c) -1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 74 - 6*m**5 - 33 - 1 + 5*m - 2*m**5. What is the first derivative of d(w) wrt w?\nAnswer: -160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5614506, 5614505, 5614504?\n\"Answer: -w + 5614507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579 and 70684899?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -104 + 108\/11*h + 2\/55*h**5 + 1\/2*h**4 + 30\/11*h**3 + 81\/11*h**2. Let f(y) = 0. What is y?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*w + 57, 2*w - 26 = -a - 0*a. Let g(z) = z**3 + 15*z**2 + 4. Calculate the lowest common multiple of g(-15) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 4*t - 6, -2*r - 2*t - 17 + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:28 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582 divided by -3?\nAnswer: -4582\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26678 - -2?\nAnswer: -26676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 - 18*t - 24. Suppose -i - 3 = -5*s, -4*i - 29 = -0*i - 3*s. List the prime factors of n(i).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)\/c)\/c)**44 assuming c is positive.\nAnswer: c**(-484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 150, 295, 440, 585, 730, 875?\n\"Answer: 145*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*t**4 + 97*t**4 + 108*t + 76*t + (-3*t**3 + 4*t**3 - 3*t**3)*(-4*t - 2*t + 4*t).\nAnswer: 5*t**4 + 184*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 5. Let b be f(10). Let o(v) = -4 - 3 + 3 + v. What is o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 62095*h - 309804. What is j(5)?\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 1309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5 + 5 + 15*x**2. Let h(m) be the second derivative of m**4\/6 + 2*m + 2. What is h(v(d))?\nAnswer: 450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-2))\/((-1)\/2). Let h be (-6)\/8 + (979\/(-4))\/y. Let r be (-10)\/35 - h\/7. Solve -2*f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = 109*j - 30. Let n = 8 + -7.2. Let t = n + -1. Which is the second biggest value? (a) j (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -137. What is the common denominator of 142\/66 - (3 - i) and 71\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 20 = 0, -154*t + 157*t - d = 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 60 = -76 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -4 (c) 45 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/((-18)\/45). Suppose 4*o = g*k - 290, -k = 4*o - 0*o + 281. Let d = o + 127. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 5 - -23) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16609 in -28, -5, 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 418240.89 - 55.26.\nAnswer: 418185.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*n + 66 = 206, 0 = -4*k - 4*n + 144. Suppose 4*x - i - 25 = 0, 5*x - i - 2*i - k = 0. Solve 8 = -4*y + f - 3*f, -8 = x*y + 2*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 138639 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*r**3*t - 21*r**2*t + 9390*r**2 - 18412*r*t - 76*r - 4*t + 1 wrt r?\nAnswer: 444*r*t - 42*t + 18780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 42. Suppose 4*y - 42 = j - 0*j, -2*y + j + 20 = 0. What is the greatest common factor of v and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3062945?\nAnswer: 5, 612589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19655066 and 17590.\nAnswer: 3518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59967, -239514, -538637, -957336, -1495611?\n\"Answer: -59788*t**2 - 183*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 - 14642*k**3 - 53597041*k**2 = 0. Calculate k.\nAnswer: -7321, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let p(g) be the first derivative of 6*g - 2*g**2 - 2 - 6*g. Determine p(a(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -17 - 31 - -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3744) - sqrt(3744)*3)\/((sqrt(4)*2 - sqrt(4))\/sqrt(2)))**2 + ((1*sqrt(312))\/sqrt(8))\/sqrt(3) + 1 + sqrt(1573)*-2.\nAnswer: -21*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -5*j**4\/24 + j**3\/2 - j**2. Let o be n(-3). Suppose -2*w = -4*z - o, 0 = 8*w - 3*w + 3*z - 6. Solve -w*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 38*b**2 - b. Let p be (-2 - 0)\/(2 + 0). Let o be a(p). Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -4, 3, -29, -13 in decreasing order.\nAnswer: 3, -4, -13, -29, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19949235 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 50*t - 6.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhwwhwxwlhhwwwowl. Give prob of picking 1 w and 2 x.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -137624, -550710, -1239192, -2203076, -3442368, -4957074?\n\"Answer: -v**3 - 137692*v**2 - 3*v + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 132*v + 5 + 2 - 228*v - 321*v - 1.\nAnswer: -417*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 1003842?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.051 from -6249.\nAnswer: -6249.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*v - 23 - 24, 3*v = -2*q + 16. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 787\/2 - 3193\/8. Let v = 96\/25 + -6\/275. Calculate the common denominator of v and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s + 61. What is b(-18)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 562886 and -278.\nAnswer: 562608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 38. Let b be t(25). Let u = b - 62. Let c be (-6 + 8)\/(1 + u) + -6. Let l(w) = w - 1. What is l(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -826, -828, -830?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3025 divided by 275.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 - -1?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134 - 529. Let a = -398 - w. Let n = -0.4 - 3.6. What is the biggest value in a, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*9\/(2700\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 - -3813. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and 70054055568.\nAnswer: 70054055568.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34520260, 34520258, 34520256?\nAnswer: 34520254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35716, 4, -44, -3 in descending order.\nAnswer: 4, -3, -44, -35716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 12*m**3 - 2*m**3 - m.\nAnswer: 10*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {j: 3, m: 5, u: 2, o: 2, g: 3, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20006 - 272 = -1794*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0) + (-36)\/(-9). Suppose -2410 = -2*r + 3*r + b*x, -2*x + 10 = 0. What is r rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 1. Let l(k) = 3*k + 700. Let g(a) = 6*a + 1282. Let c(d) = -6*g(d) + 11*l(d). What is c(b) + s(b)?\nAnswer: -4*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*o + 23, 2*z + 5 = -4*o - 9. What is the units digit of (-3 - -1)\/(o\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b = -22*b - 4. Suppose -4 = -b*j, 0 = -5*y + 2*j - 5*j + 4328. List the prime factors of y.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 + 24 = 0. Let m(l) = -13*l**2. Calculate m(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g - 174 - 18 = -140*g - 1266 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831060 smaller than 1831061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 24 - 27 - 8)*(0*m**3 - m**3 + 19*m**3).\nAnswer: -1476*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2952, 5400, 7848?\n\"Answer: 2448*n + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -800.07 to the nearest ten.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 1643, 0.3, 7, -0.2, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -4*g + 5*n, -3*n + 2*n = -2*g + 183. Calculate the remainder when g is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-234))\/((-130)\/(-117))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952 and 4?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5063\/896 or 7?\nAnswer: 5063\/896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -107, -3 in descending order.\nAnswer: 1, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2311272*y + 96 = -2311277*y, 5*q + 3*y = -52 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64872 take away -2.30617?\nAnswer: -64869.69383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 95495 divided by -6\nAnswer: -95495\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:22 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55478696 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 2*x**2 - x - 1. Let h be z(1). Suppose h*i + 0*t - t = 114, -2*t - 54 = -i. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100144112 (base 6) in base 8?\nAnswer: -54716454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = -5*z + 3*v, 2*z + 102 = 5*v - 71. Let b be -1 + (-32)\/2 - 0. Let c = b - z. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301\/8 - 49\/(2352\/30).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:07 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1307, 2415, 3533, 4667, 5823?\n\"Answer: m**3 - m**2 + 1104*m + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 41*q**2 - 54*q - 61. Determine j(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21211511*y**2 + 7517889 wrt y.\nAnswer: 42423022*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + u - u)*(2 + 2 - 2)*(-u - 4*u + 3*u)*(u**2 + 0 + 0).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/(-5))\/((3\/(-7))\/(255\/(-595))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4277 divided by 7\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54\/5 of a centimeter?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Suppose -3*g + 19 = -2. Suppose -g - 17 = 4*f. Calculate z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3 - 15, -3*t - 5*b + 62 = 0. What is the highest common factor of 84 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-3))\/4)\/(((-192500)\/(-315))\/(-110))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21605165 - 14?\nAnswer: -21605212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 40*b**2 - 29*b - 40. What is n(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/30)\/(252\/324).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*l - 4*h - 8, 0 = -2*l - 2*h - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 2*w + 0*w + (4*w - 2*w + 5*w)*(-4 + 2 + 4) - 4*w + 4*w + w to the form u*w + a and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -15, -19, -19, -15, -7, 5?\n\"Answer: 2*x**2 - 14*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/2737 or 0?\nAnswer: -60\/2737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -149. Let v be (10 + -1)*h\/(-6). Let s = 49 + v. What is the remainder when 53 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 24346*m + 2677767. What is z(111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/51, 2, 0.1, 3 in decreasing order.\nAnswer: 3, 2, 0.1, -1\/51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1853, -2, 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/(((-4756)\/205)\/(-29)*2\/(-172)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -55\/24*l**6 - 38\/15*l**5 + 0*l**4 + 0*l**3 - 84*l + 0 - 2*l**2. What is the third derivative of h(x) wrt x?\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28672 and 3776?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361*s - 200*s + 76*s to the form a*s + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112548925 is divided by 3291?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 2*j**2 - 7*j - 20. Let x be a(5). Suppose 0 = x*u - 3715 + 675. What is the remainder when u is divided by 45?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/4451 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrm when three letters picked without replacement from irzvhmzm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2696 and 0.\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 - -69. Let n = x - -154. Suppose 4582 = m + v, 0 = 5*m + n*v + 5207 - 28119. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 4*q + 1. Let y = 2 - -1. Suppose -4*a - 3*v = -y, 7*v = -5*a + 2*v. What are the prime factors of j(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -7*t**4\/12 + 13*t. Let o(c) be the first derivative of 1\/3*c**3 + 14 + 0*c**2 + 0*c. What is o(n(z))?\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6974 and 69248016?\nAnswer: 761728176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086008.\nAnswer: 2, 7, 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 97692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6633 - 10*t**2 + 102*t + 109*t - 208*t.\nAnswer: -10*t**2 + 3*t - 6633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(-6*sqrt(2057)*-4 + sqrt(204)\/sqrt(300) + (sqrt(17) + -2)*-5))**2.\nAnswer: -342671664\/25 - 62208*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-4\/15))**(-41) assuming i is positive.\nAnswer: i**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + -1*sqrt(1331) - (-2*sqrt(11) + -1 + (0 + sqrt(11))*-4)) + -2)**2.\nAnswer: -1704 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 21453017.3?\nAnswer: -21453017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/175*(-525)\/42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 17171.\nAnswer: 8585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**7*h*h)\/h**0)\/((h**(1\/3)*h)\/(h\/h**1)) assuming h is positive.\nAnswer: h**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 868, 864, 858, 850, 840, 828, 814?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 - -9.7. Let g = v + -6. Let f be 2 + (-14)\/(-8)*-2. What is the closest to 0.1 in g, f, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - v = -35, -2*d + 37 = -0*d + 5*v. Let w be (-2)\/((15\/d)\/(-5)). Suppose -55 = w*f - 9*f. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2080*h - 103. What is the thousands digit of n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -55363?\nAnswer: -12\/55363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + 9 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00537716 rounded to 5 decimal places?\nAnswer: -0.00538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33102 + 33099. What is the closest to 2 in 149, 0.03, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330 + -301. Suppose n*z - 32*z = -1896. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1fd2bf?\nAnswer: -1fd2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 63*l**2 - 126*l + 313. Give i(-23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20176*r**3*t - r**3 - 10*r**2*t + 2*r**2 - 617*r*t + 6*r - 562*t wrt r.\nAnswer: 121056*r*t - 6*r - 20*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93894565 or 93894567?\nAnswer: 93894565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(12\/1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 3*d)*(16*d**3 + 89*d + 112*d**3 - 89*d).\nAnswer: 256*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/8 - 7*l**3\/3 - 6*l**2 - 3. Let b(q) = -2*q + 9. Let m(w) = 7*b(w) + 5*r(w). What is m(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n - 1. Let a(r) = 9*r**2 + 11*r + 5. Calculate a(u) + 4*l(u).\nAnswer: 5*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13588*d - 11671*d = 145692 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:24 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/5 + 3\/5. Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 341?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 + 30*w**2 + 81*w - 108 = 0. What is w?\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 + 4\/15*n**5 + 2\/105*n**7 + 0*n - 2\/15*n**6 + 0*n**4 + 0*n**3 - n**2. Suppose s(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (12\/9 - -3))\/(3626\/147)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - -9 - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*a = -67, -3*a - 219 - 49 = -4*l. Suppose 3*y + 16 = l. Solve -4*z = -r - y, -5*r + z - 4*z = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136000 (base 7) to base 5\nAnswer: -14044332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 25*d**2. Let x(o) = 19227*o - 5. What is x(z(t))?\nAnswer: 480675*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180.86 - -15.46. Let c = p + 165.39109. What is c rounded to 4 dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1451*a**3*p**2 + 244*a**3 + 3*a*p**2 - 12*a - 1 wrt p?\nAnswer: 2902*a**3*p + 6*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {v: 1, u: 1, r: 2, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-15)*118\/1770*-270.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3682924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k - 2. Let q(a) = a**3 - a**2 + 6*a - 2. Let j(h) = -2*o(h) + 3*q(h). Determine j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/(-520) - (9 + 148\/(-32)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 0*y**3 - 5*y**3)*((2*y - 5*y - y)*(1 - 2 + 2) + (-2 + 12 + 4)*(-y + 3 - 3)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117219 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 667 = -81. List the prime factors of d.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q - 24 = 0. Let i be 2\/6 + q\/(-3). Differentiate 6*w**3 + w**3 - 4*w**i + 2 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5 + 11\/2*i**2 + 0*i**3 + 0*i**4 - 11\/5*i**5 + 0*i. Find the second derivative of h(r) wrt r.\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1.374, -8716, 1 in descending order.\nAnswer: 1.374, 1, 0.3, -8716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.34509 years to months.\nAnswer: 760.14108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 267053379 - 0.0438\nAnswer: 267053378.9562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 20, 16, 10, 2, -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let i(v) = 43758*v + 405. Let f(s) = 653*s + 6. Let w(a) = -135*f(a) + 2*i(a). Give l(w(q)).\nAnswer: -408321*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.43 + 0.03. Let o = i - -4.4. Let k = 13342 + -93392\/7. Which is the nearest to 1\/3? (a) o (b) 0.7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 43 = 3*p. Let n(f) = p*f + 25*f - 50*f. Let u(g) = -3*g. Determine u(n(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-1)*-1 + -1. Put -1, s, 8 in ascending order.\nAnswer: s, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 159, 158, 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83\/65 in -1\/4, 4\/7, 5, -60?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.062 (c) 132\/73 (d) -1\/212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2 + p + 0)*(-18 - 2*p + 18).\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 + 23*a**5\/12 + 9*a**4\/2 - 12*a**2 + 1. Find the second derivative of v(j) wrt j.\nAnswer: 6*j + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 5*d = 11*f - 43, 10 = f - 2*d. Suppose f*r = 3902 + 2278. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33308?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.9257759\nAnswer: -0.9257759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13988*a + 391657. What is s(28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2\/5 (b) -4\/15 (c) -3 (d) -39.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 2*f**2 + 9*f + 2396 - 2395)*(-2*f - 2*f**2 + 2*f).\nAnswer: -6*f**4 - 18*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 7. Let c be z(7). Let o be (c - 246)*(-2)\/3. Let b = o + -97. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/2 - (-1 - -3). Suppose h*p - 92 = 2*p. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (68\/8)\/(6\/33 - (-98735)\/(-543466))?\nAnswer: 17, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 + 6 = 3*h, 2*y = 5*h + 15. Suppose -5*o + 4*t = -2*o - 88, -t = y*o - 116. Suppose 0 = 23*l - o*l + 15. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125080 + 1?\nAnswer: 125081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/112 - 2\/7. Suppose b = 100*z - 107*z + 2296. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:00 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 7615168*s + 3624423979264.\nAnswer: 4*(s - 951896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/417 - -3781\/1529. Calculate the common denominator of l and 37\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 9. Let n be i(-6). Let t(m) = 10*m**2 + 4*m + 1. Is t(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.582829 weeks in hours?\nAnswer: 97.915272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*a - 64 + 4, -2*z = a - 30. Suppose -q + 56 = -a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4058, -4059, -4060, -4061, -4062?\n\"Answer: -y - 4057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011111010111 - -1?\nAnswer: -101010011111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1584, 1570, 1556?\n\"Answer: -14*x + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -162\/5 - 216*o - 540*o**2 - 600*o**3 - 250*o**4 = 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 104320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (-215243)\/(-56) - (-3)\/8 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3326926s to nanoseconds.\nAnswer: 332692600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 4. Let u = p - -11. Suppose 3*h = 15, u*q - 71 + 11 = -5*h. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:04 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sooosssssssosossss. Give prob of picking 4 o.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 3. Let s(q) = -28*q**3 - 20. Let n be ((-3)\/8)\/(6\/(-48)). Give n*s(v) - 20*l(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.878 + -1.87789376. Round y to 6 dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b91 (base 12) to base 2.\nAnswer: 11010111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1167 and 1\/778.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 - u**2)*(2*u**3 + 2 - u**3 - 1 + (-u**2 + 2*u**2 + 4*u**2)*(-u + 2*u + u)).\nAnswer: -11*u**5 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4355.303 hours?\nAnswer: 261318.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 18 = -0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 36 = 0. Suppose 7*l - a = 4*l. Let i be (0 - 69\/l)\/((-5)\/(-10)). Which is bigger: -22 or i?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3423\/8 - 427. Let k = -47\/72 + w. What is o in k*o**3 + 0*o + 8\/9 - 2\/3*o**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87.2455 and 4.\nAnswer: -83.2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + 1*sqrt(11) - sqrt(44)*3) + 3)**2.\nAnswer: 20*sqrt(11) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**2 - 5*w - 5. Let p(v) = -12*v**2 - 4*v - 4. Let t(m) = 5*p(m) - 4*q(m). Let c(k) be the third derivative of k**5\/30 - 5*k**2. Give c(t(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhz when four letters picked without replacement from hhhhhzzhzzzzzzzhhhz?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-4878)\/(-336582))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/7)*h\/(h\/(h\/(h\/h**(-1)*h)))*h**(-1\/10)*h**(-4)\/h*((h**(-2\/5))**40)**13 assuming h is positive.\nAnswer: h**(-15087\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - o + 258 = 0, -133 - 244 = -3*p + o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 3. Let i(w) = -2*w**3 + 5. Suppose 21 = -5*k - 4. Determine k*f(r) + 3*i(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = -2*h - 4*i, -4*h - 11 = -3*i. Suppose 1 + 19 = -5*a, 5*a = -3*f - 47. What is the smallest common multiple of 22 and (18\/f)\/(h\/10)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:23 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 39*p + 636. Is b(18) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3 - 5) + 28)*1. Suppose -p + 201 = 5*r. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.571 - -0.071. Which is the nearest to -1? (a) 1\/8 (b) q (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 75*b + 800.\nAnswer: -(b - 10)*(b + 160)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a factor of 1193347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-115)\/138 + (-95)\/(-6). Solve c + w = 3*m, -3*m - m + 22 = -2*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from ieiqhaqqqqqaqqiaeha?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {s: 3, d: 1, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (52 + -3 - -5) + (-3 - -1 - 9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27325, -109279, -245869, -437095, -682957, -983455?\n\"Answer: -27318*j**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g*i*z**4 + 141*g*i + 88*z**4 + 2*z wrt z.\nAnswer: 32*g*i*z**3 + 352*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 - l. Let y(m) = -21*m**3 - 6*m**2 - 6*m. Calculate 6*u(t) - y(t).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 483 - 476. What is the units digit of 4256\/f + 15 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*v + 23274831 - 23270387 for v.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) 17 (c) -2.6235 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-three quarters of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11252717.\nAnswer: 7, 67, 23993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18601)\/33 - 14)\/(4\/12). Are p and -1730 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 5632.\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 62900 = 4*c, 2*c + 78645 = 5*r - 3*c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.558861 - 0.35895. Let j = r - 0.2. What is j rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 7, -94, 2\/9, 171?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c)*(-c + 3*c - 3*c)*(0*c + c - 3*c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*t - 6 + 4, 2*i + 3*t = 3. Let v = 5 + 6. What is the smallest common multiple of v and 3 + i + -3 + 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7055, 14237, 21419, 28601, 35783?\nAnswer: 42965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79048.5l to millilitres.\nAnswer: 79048500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 4*p. Let f = 3497 + -3503. Let j(m) = -m**2 + m. Calculate f*j(y) - r(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2042747 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*q + 1247*q - 6 = 4*y, 5*q + 4*y + 13 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/42)\/(3\/6 + -1).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from {t: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, i: 3}. Give prob of picking 1 g and 2 i.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 14. Let y be z(15). Suppose y + 10 = -u. Suppose 0*r = 3*r + 6. Put -5, u, r in descending order.\nAnswer: r, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057055 is divided by 3377.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112397 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e + 0?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 951, 1945, 2953, 3981, 5035?\nAnswer: 6121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w - 3. Suppose -11*q + 26 - 15 = 0. Find the common denominator of -59\/2 and w*8*q*18\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(132\/(-12))\/154.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6533 = -12047. Suppose -9*c + 4*c = -z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/43)*o**(-4\/13)*o*(o**5)**(-33))**5)**(-2\/7) assuming o is positive.\nAnswer: o**(918740\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 42*w - 41. Let o be u(-8). Let a = o + 558. What are the prime factors of a?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let y(r) = h*r + r + r. Let x(m) = -35 + 8*m - 36 + 71. Determine y(x(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7219477?\nAnswer: 37, 195121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -20, -12*k + 9*k + 516 = -3*f. Let z be f\/(-32)*(-4)\/110*-10. Factor -4\/3*w - 1\/6*w**z - 8\/3.\nAnswer: -(w + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**4 + 176*d**3 + 120*d**2.\nAnswer: -2*d**2*(d - 30)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 618*n**4 - 271585*n + 230 + 271585*n wrt n?\nAnswer: 2472*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:56 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/55)\/2)\/(-49*(-192)\/(-70560))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*r - 52*r**2 - 44*r + (-1 + 0 - 1)*(-r**2 - 2 + 2) - 3*r - 4*r + 1 - r**2 - 13*r.\nAnswer: -51*r**2 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let l be (g + 1 + -8)\/(-2). Suppose 12 = -l*f, 2*f - 76 = -7*q + 4*q. Solve 0 = -4*d + 3*w - q, 4*w - 22 + 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -594 bigger than -0.119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**4 - 2*w**3 - 1329*w**2 - 20506*w.\nAnswer: -48*w**2 - 12*w - 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1159 + 1174. Solve -134*y + p = -137*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1290784 or -1290791?\nAnswer: -1290791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 277. Let h = 1 - 1. Let q be o(h). What is q rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23805636 and 2226678.\nAnswer: 11658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29185373 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 2*b**3\/3 - 21*b**2\/2 - 7*b. Is 5 a factor of p(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104004 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -80db?\nAnswer: -80d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29081.\nAnswer: 13, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-18)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 235?\nAnswer: -8\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100110011 (base 2) in base 4?\nAnswer: 230303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*b**2 - 4*b + 6*b + 176*b**2.\nAnswer: 13*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.02, -3, 173, 0.3, 5?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*o**2 + 3*o**3 + 233*o**2 + 2*o**3 as l*o**2 + z*o + t + b*o**3 and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4483 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, -1\/4, -1\/3, 0.3, -4\/818993?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 7*d - 3. Let b be y(6). Differentiate -5 - 15 + 16*m**b - 4 + 6 wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6)*(5*l**2 - 3*l**2 - l**2)*(4 - 4 - l + (l + 0*l - 3*l)*(-4 + 3 - 1) - l + 4*l - l).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19201 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-69 + 65).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b8811 (base 12) in base 8?\nAnswer: -6476615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 16347696*x**3 + 3*x - 16347717*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((9\/3)\/(-3)). Suppose f = -l + 1 + 17. Let k = l - 11. Solve 0 = 4*s + k + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 700\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.09637 and -1\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5.96. Let m = v + 0.01. Let z = 0.05 - m. Which is the nearest to -1? (a) -1\/2 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 8. Suppose -5*o - 5*q - 30 = 0, -3*o + 5*q + 9 = -o. Let g be v(o). Which is smaller: g or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(-2\/7)*t))\/t*t))**(1\/47))**(-43)\/((t**1*t)**21\/((t\/t**(-6))\/t*t\/t**(2\/17))) assuming t is positive.\nAnswer: t**(-200068\/5593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/170*18)\/(2\/(-73565)). Let u = z - 11685. What is the common denominator of u and 83\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a7 + -26b93?\nAnswer: -2767a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -3 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35589\/4 + 254351\/28. Let q = 187 - o. Factor 4\/7*j + 0*j**2 - 2\/7 - 4\/7*j**3 + q*j**4.\nAnswer: 2*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 39*n**4\/2 + 169*n + 35. Find the first derivative of q(t) wrt t.\nAnswer: 234*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*t**3 - 1692*i**3 + 338*i**2*t**2 + 2*i**2*t + 3*t**3 wrt i.\nAnswer: 12*t**3 - 10152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 - 65 = -p + a, 4*p - 2002 = -2*a. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299485403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -g - 10*n + 2, 10 = 5*g - 4*n. Suppose -6 = -2*p, -2*p - p + 3 = 2*q. Let h be 5*(9\/q + g). Put -2, -3, h in decreasing order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1141 + 1141 - 125*q**2. Let r(p) = p**2. Determine r(z(i)).\nAnswer: 15625*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w - 34. Let x(h) = 3. What is a(o) + 4*x(o)?\nAnswer: -9*o - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -5)*(-1)\/2. Suppose 7*x = 2*x - 3*l + 135, 0 = d*x + 5*l - 54. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (0 + sqrt(171))**2 + 4.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 8*d**2 + 3*d)*(5557 - 638*d - d**2 - 5557) as s + g*d + f*d**2 + u*d**4 + q*d**3 and give q.\nAnswer: -5104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797392.6 nanometers to micrometers.\nAnswer: 797.3926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272) - (0 + sqrt(272)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6601 (base 8) to base 3\nAnswer: -11202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 (base 16) in base 3?\nAnswer: 2120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63336\/(-1015)*(-10)\/4. What is the highest common factor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 56232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 6. Let o be n(-5). Let c = 29 - o. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 201 + 194. Suppose 0 = -2*k + p + f, 12*k = 13*k + 3*p - 36. Calculate the remainder when k is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -9728 - 4152. List the prime factors of j.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/4, -122, 0.3, -1, -5, 2\/49?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 5:58 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.6. Let y = j - 3. Put -1\/10, y, 0 in increasing order.\nAnswer: y, -1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 + (-4664)\/(-72). Suppose 0 = 7*d - i - 33. Is 43 a factor of (341 + -1)\/(d\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 1.6. Let y = q + 1. What is the second biggest value in 4, 5, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -331, -37, 257, 551, 845?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/851 and -13\/26197?\nAnswer: 969289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -f, 2*f + 4*w - 3*w = 4. Find the third derivative of 11*q**3 - q + 8*q**2 + 2*q - f*q + 7*q**2 wrt q.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73940 and 214910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**5 - 484*z**4 - 155356*z**3 + 11117328*z**2 + 135765648*z - 228135744 = 0. Calculate z.\nAnswer: -141, -12, 3\/2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -1198 in descending order.\nAnswer: 0.2, -1, -1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqz. Give prob of sequence qd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-27)*-5*12\/40*3\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y - 2*o - 13, 5*y = -5*o - 40. Let h be -3*(-2 - -4) - -2. Suppose 3*d + d + 4 = 0. Put y, h, d in ascending order.\nAnswer: h, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)\/g)*g**(-9))\/(g**(5\/6)\/g*g*g**(-3))*(g**(-1\/2)\/g**(-1\/6))**(-2\/57) assuming g is positive.\nAnswer: g**(-1307\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.94 - -0.04. Let f = 5 + z. Suppose 3*d - 13 - 2 = 0. Which is the biggest value? (a) f (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.7 + -13.3. Let m = 73.906 + d. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 98905 = -47596 - 108099. List the prime factors of v.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-3 - -18) + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/6)\/(10\/(-12)). Let i = 12 + -7. Which is the closest to z? (a) i (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Suppose 4*f + 5*p - p - 112 = c, p + 102 = 4*f. What is the remainder when f is divided by ((-9)\/(-2))\/3*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-16))))\/y)**(-1) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 7192 and 7200 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274045, -548096, -822147, -1096198, -1370249?\nAnswer: -1644300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m. Let o(c) = -4*c**2 + 44*c + 21. Give o(j(i)).\nAnswer: -100*i**2 - 220*i + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 82*o - 1. Let i(c) = c - 19. Determine i(h(f)).\nAnswer: 82*f - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*l - 594*l - 1098*l - 1047*l - 2113*l.\nAnswer: -5057*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -20\/7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 246*k + 65340 = 871*k for k.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24966397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -57 - -35) + 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 8. Give x(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + d + 44, 4*o + 5*d - 39 = 2*d. Solve 6*x = 3*x - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - d)*(-7*d**3 + 6*d**3 - 6*d**3)*(5 + 6 + 8)*(-6 + 3 + 12)*(1 + 1 - 3).\nAnswer: -2394*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8807*d**2 - 8807*d**2 - 34*d**3.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 2, o: 11}. Give prob of sequence dwoo.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420985 = -f - 3*v, 2*f + 5*v = 493858 + 348117. What is f rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.13 or 4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 105061590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11972965 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -585 divided by 86?\nAnswer: -585\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*p - 7 = -0, -9 = -4*y + 3*p. Suppose 0 = y*a + 4*i - 17, a - 4*i = i - 7. Suppose a*h = 2*h + 26. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) - (sqrt(108)*-3 + sqrt(108)))\/sqrt(6))\/(-6*2*sqrt(36)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.91 - 4.36. Let i = -4.55 + y. Sort i, -6\/5, 0.07.\nAnswer: i, -6\/5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = 4*j - k, 17*j - 36 = -k - 37 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -745*y**4\/6 + 179*y**3\/6 - 473*y + 2. What is the second derivative of j(p) wrt p?\nAnswer: -2980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -104. Let n = 92 + h. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 + 153 - 26 + 42073*w to a*w + o and give a.\nAnswer: 42073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*(d*d**(-2\/9))\/d))\/(d**(-1\/2)*d*d))\/(d*d\/d**(-1\/5)*d)**(2\/111) assuming d is positive.\nAnswer: d**(-1117\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 2*r)*(4*r - 3 + 6*r**3 - r + 0*r**3).\nAnswer: 12*r**4 + 6*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 4*k + 0*k)*((k + 4*k - 6*k)*(-2 + 2 - k) + 3*k**2 + k**2 - 3*k**2 + 5*k - 4*k**2 - 5*k) to d*k**3 + p + b*k**2 + r*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4389416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n - 35 + 77 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63\/2 + 31. Let w = -4 + 2. Let i be (-2)\/5 - w\/5. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/15)\/g**(-1))\/(g*g**(-1)\/g)**(30\/11))\/((((g*g**(-6))\/g*g)\/(g\/(g\/(g\/(g**(4\/5)*g)*g))))\/(g**(-2)\/(g*g**4))) assuming g is positive.\nAnswer: g**(296\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 22\/20)\/(-15*(-20)\/600).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 4. Let u be f(-5). Let q be (-1 + u)\/(1\/(-1)). What is c in -2\/7*c**4 - 2\/7*c**3 + 2\/7*c**5 + 0 + q*c + 2\/7*c**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)\/sqrt(2))\/(sqrt(32)\/sqrt(128)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (297\/(-7) + 7 - (-159)\/371).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14754 - -14732. Let p = -2.6 + -0.4. Which is the nearest to 1\/4? (a) q (b) 2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)*t**(-2)*(t**0)**44)\/((t*(t\/t**5)\/t)\/t**(-3\/5))**(-7) assuming t is positive.\nAnswer: t**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 23*d**2 + 3023*d + 817. What is i(-131)?\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4849618 to the nearest integer?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/5 + 4972*h**2\/5 - 452762*h\/5 - 2603876 = 0. Calculate h.\nAnswer: -2573, -23, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2143, -4239, -6327, -8401, -10455?\nAnswer: -12483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51574459?\nAnswer: 53, 281, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 65*a - 138 = -67*a, -5*a = -5*i + 105 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b)**46\/(b*b**(-1\/3))**18 assuming b is positive.\nAnswer: b**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -282*h + 10641. Give f(42).\nAnswer: -1203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9*(-4 - 2). Suppose 2*o = -y*o. Let h be (6\/(-4))\/((-2)\/4). Solve -9 = h*z - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + 35*z**2 - 6*z. Let d(p) = -p**2 + p. Let h(y) = 6*d(y) + o(y). What is the third derivative of h(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.238 - -0.238. Which is the nearest to -1? (a) 2\/29 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 + k**4\/4 - k**3\/3 + 7*k**2\/2 - 9*k - 2. Let m be v(3). Solve 4*t = -5*c + 16, -m - 7 = -2*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/522 and 16\/1305.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761640 divided by -76164.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5477.769nm to centimeters.\nAnswer: 0.0005477769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**2 - 9*d + 10. Let x be i(-7). Let a = 361 - x. What are the prime factors of a?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 2*b + 3*b)*(6 + 0 - 3)*(2*b - 9 + 9) to the form c + r*b + s*b**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(605) + sqrt(5)) - 5*(sqrt(98) - sqrt(2)))**2 + -5.\nAnswer: 128521\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 82*n + 18 - 436 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 2. Let s be x(7). What is the second derivative of -s*t + 12*t - t**4 - t**4 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0*(k*(k**3\/k)\/k)\/k)\/(k**(-1))**(-21) assuming k is positive.\nAnswer: k**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.78113333?\nAnswer: 3.12453332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kssk when four letters picked without replacement from {s: 16, k: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -4296.\nAnswer: 68736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n + 469. Determine h(-28).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -82440758 greater than or equal to -247322270\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 - 7*n + 1. Let p be b(8). Let f(r) = 7*r**3 - 4*r**2 - 4*r - 4. Let d(c) = -15*c**3 + 9*c**2 + 9*c + 9. Give p*f(j) + 4*d(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 7*n**4\/12 - 5*n**3\/3 - 2*n**2 - 15*n. Let v be j(-8). Let b = v - -1847. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 18*b**2 + 33*b - 14. Let y be f(16). Factor 69*s - 31*s**y - 96 + 188 - 94 - 29*s**2 - 7*s**2.\nAnswer: -(s - 1)*(67*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156837141.\nAnswer: 3, 571, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 41286 - 36546 = -9389*u + 81560 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:28 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126 or -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 487*o**2 - 65*o**3 - 10627*o**2 - 9653618000 - 198*o**3 - 15947422*o - 1189178*o + 261*o**3 = 0.\nAnswer: -1690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/144012 and 97\/52368.\nAnswer: 576048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111111110010111010 (base 2) to base 4.\nAnswer: -12333302322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291646.\nAnswer: 2, 145823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00943 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/6 + 8005*q**2\/6 - 1627700*q\/3 + 20489170\/3.\nAnswer: -5*(q - 794)**2*(q - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 84 = 32*a - 71, 3*a - 25 = 2*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1678)\/(-2275) + 2\/13. Let w = -8\/25 + m. Let z be ((-1)\/(-3))\/(4\/12). Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27664 and 25844?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -103, -306, -613, -1036, -1587, -2278, -3121?\n\"Answer: -2*z**3 - 34*z**2 + 5*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + a**2 - 134*a + 81. What is the thousands digit of o(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by 555395.\nAnswer: -21\/111079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8007722mg in nanograms?\nAnswer: 800772.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8542806700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 254 = -7*d. Let p = -24 - d. Suppose 4*k + 5*b = 2*b + 432, p = -5*k - 5*b + 540. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaanaanaaaaaaannanaa. Give prob of sequence anan.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*x - 5, 2*x + 19 = 5*x - 2*d. What is the second derivative of 10 - 5 - q**3 - 5 - x*q wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3388) - (sqrt(3388) - -3*sqrt(3388))**2)*-2 - (4 + sqrt(1372) + 1)).\nAnswer: -58*sqrt(7) + 108413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -n - 3, -5*n - 9 = 4*q + 1. Let s = n + 12. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 - 62?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -69*y**3 + 5108*y**2 - 159*y + 813. Determine p(74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -j - m = 9 - 11, 0 = 4*j + 3*m - 9. Suppose b = 4*b - u*f - 27, 5*b - j*f = 44. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(1\/(3\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.6 (b) -0.086 (c) 11.761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -9.65.\nAnswer: -28.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 4*l**2 + 2*l - 6. Let k be j(4). What is the third derivative of 35*a**2 + 7*a**4 + 31*a**2 - 9*a**4 - 61*a**k wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*u*v**6 - 14*u*v + 10445*v**6 + 11*v**2 - 600*v wrt v.\nAnswer: 12360*u*v**3 + 1253400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (72 - (-13 + 75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16455*g**2 - 567392*g - 48220*g + 71811 + 47253*g**2 + 3*g**4 + 24558 - 525*g**3 + 488967 = 0 for g.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*n + 6. Suppose -3*l - 3*d - 8 = -2*d, n*l - d = 2. Let f be (-1)\/(-2)*(8 + -6). Does f = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 899 - 35 = 0. What is the lowest common multiple of 2160 and v?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-120))\/((-52)\/8)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 6:55 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*b - 4 = 0, 5*b = -5*j - 0*b. Solve 0*c - j = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 22100*p + 22098.\nAnswer: 2*(p + 1)*(p + 11049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71\/3 - 23. Let o = -1.2 + 1. Let w = 0 + 4. What is the nearest to -0.1 in o, w, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*j - 80 = 0, -1117*q + 11*j = -1121*q + 140 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1472*3\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 - 647*q**2 + 188*q**2 - 19*q**3 + 192*q**2 + 267*q**2.\nAnswer: -43*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -525 + 644. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133) + sqrt(133))*-6*-3)\/((sqrt(70) + (-2*sqrt(70) - sqrt(70) - sqrt(70))*3)\/sqrt(10)).\nAnswer: -54*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**7*p)\/p*p)\/p*p**1*p*p**(4\/7)\/p*p\/p**(-1\/6))\/((p**(1\/4)*p)**(-17)*p**(-4)*p*p**(2\/5)*p) assuming p is positive.\nAnswer: p**(13687\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j**(-11)*j))*j)\/(j\/j**(1\/10))*(j**(5\/4))**34)**27 assuming j is positive.\nAnswer: j**(4671\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 181899954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 - -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/30 + 914*m**5\/15 + 1831*m**4\/6 + 1832*m**3\/3 - 28*m**2 - 10*m + 2. Suppose w(q) = 0. Calculate q.\nAnswer: -1, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -6, 49, 5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77749 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + 102?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 5*i = 3*s - 6, 10*s = -3*i - 39 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 59 in descending order.\nAnswer: 59, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, u: 3}. Give prob of picking 2 u and 2 w.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekgu. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -56*u + 2187. What is the smallest common multiple of 1 - 1 - (-6)\/1 and n(39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y**3 + 4*y**2 - 4*y + 3. Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 36, 42, 54, 72?\n\"Answer: 3*l**2 - 9*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b24 (base 15) to base 4.\nAnswer: -20001310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679.309ns in microseconds?\nAnswer: 1.679309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2 - -1) + 6. Suppose q = 4*y - 4. Solve 0*t - t = y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 58 = -5*u. Suppose 6*i - i - 20 = 0. Let v = u - i. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 6456 = -4*z - 13*o, z - 1625 = -2*o. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11878.797857 minus 3?\nAnswer: 11875.797857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -10) + -9 - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**3\/3 + 2*n**2 - 16*n - 7. Let y(u) be the first derivative of o(u). What is y(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1166250?\nAnswer: 3498750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -23. Let p(g) be the second derivative of g**4\/12 + 4*g**3\/3 + 9*g**2\/2 + 321*g. What is p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -1\/6*y**4 - 1\/2*y**2 - 4*y - 3\/2*y**3 + 0. List the prime factors of p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 96*g + 31. Is s(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 50, 13, -13?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*a + 39665 = 0, 5*r - 20962 = 4*a + 18706. What is the greatest common divisor of r and 1024?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**4 + 15*t**3 - 33*t**2 - 33*t + 9. Let s(b) = -2*b**4 + 8*b**3 - 17*b**2 - 17*b + 5. Let r(q) = -5*h(q) + 9*s(q). Factor r(j).\nAnswer: -3*j*(j - 2)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -30, -56, -86?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/39*118\/(-413).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 15 + 30 = 0, 3*j - 5*n = 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186098115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*b**3 - 149*b**3 - b**2 + 86*b**3 - 2 to the form m + n*b**2 + y*b + u*b**3 and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 169*a - 2445. Determine q(-153).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 31*s**2 + 218*s - 39. Calculate l(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)\/2 + (18 - 23). What is the smallest value in -0.6, 2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -63. Let i = 3 - j. Solve 5*q = q - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7 - 3*m**3 + 6*m**2 + 4*m + 2*m**3 + 4*m. Let n be h(7). Let c = -6 + n. What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19\/(-114))\/((-2)\/(-13) + (-50)\/156). Let u be (-1)\/(-2) - 95\/198. Does g = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/173, 18, 17?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/6325*-10)\/(21\/(-140)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 108*v - 1. Let f(w) = -8*w**2 + 327*w - 4. Determine -2*f(l) + 7*p(l).\nAnswer: 2*l**2 + 102*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 29*t + 12 = 25*t, 0 = -4*c - 3*t + 22. Suppose 0 = u - c*a + 10 - 18, 4*u + 4*a = 12. Solve -5*f - 2*w + 6*w - 9 = 0, u*f + 32 = -3*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 14) to base 8.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -1) + -31 + -37 + 8 + 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 2. Let d(o) = 3*o**2 + 4*o + o**3 - 2*o**2 - k*o**2 - 1 + 0*o**3. Is d(3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162416 and 53680?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctccchchcthc. What is prob of picking 2 t and 2 c?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4164979 = 280*n - 22*n. Is 97 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112019256 divided by 2414\nAnswer: 46404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/1636 or -1?\nAnswer: 19\/1636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-540)\/(-33))\/(71978\/(-638) + 113)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 2) + -2)*1\/(-26)*2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11192 divided by 2\nAnswer: -5596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195270 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 783\/5 + -156. Let o be 23\/(-18) + 70\/9 + -8. Let f = -10 + 5. Which is the biggest value? (a) f (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -240?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 9039191.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((0 + sqrt(180) + sqrt(180))*-3 - (sqrt(180)*2 + 1))*-2 + 0)*-6.\nAnswer: -576*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 9. Let z be p(-4). Solve 3 + z = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0687, -1\/4, 0.3, 0.484?\nAnswer: -0.0687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 17, -293 in ascending order.\nAnswer: -293, 17, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 4*t - 1025 + 2043 - t - 1018.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = 8*p + 4153. Let t = 619 + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*796\/244 + (-442)\/(-34) - (-19 + 19).\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4070941.\nAnswer: 7, 59, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 4.84, 0.4, 68?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*w - 41*w + 169*w)*(1 + 4 - 4)*(522*w**2 - 522*w**2 + 8*w**3 - 3*w) in the form c + b*w**4 + d*w + z*w**2 + j*w**3 and give b.\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 7:54 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*g**3 + 97*g**3 + 16*g + 621*g**3 - 13*g - 3868 - 6*g with respect to g.\nAnswer: 1953*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5491781377 rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-2\/3)\/p*p)))**(-20)*(p**(2\/7)\/p*p)**(-1\/74)*((p\/(p*p**0*p))**(-3\/38))**(-21) assuming p is positive.\nAnswer: p**(344615\/29526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = 43*o - 38*o, -3*o = 3*g + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 - d + 1. Let u(w) = w**3 - 7*w**2 + 5*w - 4. Let f(m) = -2*l(m) - u(m). What is the remainder when 99 is divided by f(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, -2, -31, -60, -89, -118?\n\"Answer: -29*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 11 = -3*n - 1, n + 2 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 21 = -49. Let s = z + 36. What is the remainder when 37 is divided by (1 - 1)\/s + (0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 30 = -5*q, 21*k - 5 = 20*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(171)*-2 + 0 + -1*sqrt(171))**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*d - 4, -4 + 7 = 3*d + p. Suppose 0 = -2*s + 5 - d. Factor 15\/7*n + 6\/7 - 9\/7*n**s.\nAnswer: -3*(n - 2)*(3*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2088368 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333246?\nAnswer: 2, 29, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 127*t**2 + 501*t - 541. Calculate s(1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, -1, -663\/8, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ourrourrrrjrjrourrrr. What is prob of sequence ojuo?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 1269 = 2760. Let w = -186 - l. Sort -2, 1, w in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035153413 (base 6) to base 12.\nAnswer: -38a5869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/2 + 307*d**4\/2 - 299*d**3 - 1823*d**2 - 4265*d\/2 - 1525\/2 = 0.\nAnswer: -1, 5, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 471*z - 1. Let k(m) = -1928*m. Give j(k(t)).\nAnswer: -908088*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17741467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.53 + -0.13. Let y = c - -2.6. Sort -0.1, y, -3\/7 in descending order.\nAnswer: y, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 892, 3669, 8320, 14887, 23412, 33937, 46504, 61155?\n\"Answer: 7*t**3 + 895*t**2 + 43*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171810881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-2))\/((-2)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 5*w**4\/4 + 445*w**3\/3 + 860*w**2 + 1700*w + 1911. Factor m(b).\nAnswer: 5*(b + 2)**2*(b + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 3516, -2365.\nAnswer: -2365, -0.02, 3516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3380, 8135, 21044, 46187, 87644?\nAnswer: 149495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 14*q**2 - 13*q - 3. Let c = 31 - 24. What are the prime factors of l(c)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-21)*3\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -22*z + 1583. Let h be d(0). Let b = 2474 - h. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 48. Calculate the smallest common multiple of d(-17) and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 12*j + 17. Suppose -2*v + 6*n = 5*n + 15, 4*n = 3*v + 10. Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 4. Let f be 6 + -1 - (5 - 2). Let j be 31\/f - (-2)\/(-4). Suppose -4*w = -3 + j. Give r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*(sqrt(1125) + 0) + sqrt(1125) + 4 + (sqrt(1125) + 1 + sqrt(1125))*2 + (sqrt(1125) - (sqrt(1125) + (sqrt(1125) + 0 + sqrt(1125))*3)))**2 + 3).\nAnswer: 1080*sqrt(5) + 13617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, 0, 5, -2\/17, 0.7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 438576513\/7337 - 59776. Let n = -33349\/7337 - i. Let j = -7663 - -76529\/10. What is the common denominator of j and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -2*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82 - 148 + 70 + 2*i + 2*i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 9 - 29. Let y be r\/16 + 742\/8. Suppose 2*b - 14 = -4*p, 4*b - 6*p - y = -p. Calculate the greatest common factor of 51 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 497?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o. Let f(v) be the third derivative of -5*v**2 - 5\/8*v**4 + 0 + v + 0*v**3. Calculate 6*f(t) + 13*k(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:54 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -51374\nAnswer: 15\/51374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*m**3\/2 + 45*m**2 - 24*m - 16.\nAnswer: (m + 4)*(5*m - 4)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -0.3 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:31 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and 423 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.4? (a) 2 (b) -1\/33 (c) 3 (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25*k**2. Let r(l) = 31*l**2 - 22*l. Let i(p) = 6*p + 212. Let w be i(-35). Let d(s) = -6*s**2 + 4*s. Let q(u) = w*r(u) + 11*d(u). Calculate q(n(m)).\nAnswer: -2500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/(1\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16267 is divided by 1015.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16438?\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846 divided by -13?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 38*r**2 - 3*r. Let g(h) = 37*h**2 - 4*h. Determine 3*g(d) - 4*w(d).\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*f - 68*f - 6092. List the prime factors of f.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((-9 - 3) + 34)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*f - 9*f + 11*f + 554904. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46225 is divided by 926.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 3 + 29*z**2 - 28*z**2 + 2. Let c be i(-6). What is the greatest common factor of c and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {p: 1, k: 2, f: 1, e: 2, r: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13581 - -13569. Let n(d) = d - 1. Let z(h) be the third derivative of -h**4\/4 + 2*h**3\/3 - h**2. Calculate w*n(k) - 3*z(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.071686.\nAnswer: -1.071686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1070 + -1068. Calculate the smallest common multiple of 980 and y.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*f**3 + 526*f**3 - 202*f**3 + (-2 - 4 - 16 - 1)*(-4*f**3 + 5*f**3 - 3*f**3) as p*f**3 + n + k*f**2 + w*f and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 12188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 - 966822122 + 966822122.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 8 = 14*q. Solve o = -z - 4, -3*z + 5*o + 8 + 4 = q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:38 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12)*9\/(-6). Let r(q) = 7*q - 85. Let n be r(12). Put g, -3, -2, n in decreasing order.\nAnswer: g, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*p - 9, 89*p - 3*d + 27 = 90*p. Solve -p*j - 856 + 844 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683.0799 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0275.\nAnswer: 0.01375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b. Let u(h) be the third derivative of 2\/15*h**5 + 0 - 61*h**2 + 0*h + 0*h**4 + 0*h**3. Determine x(u(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 358*v**7\/7 - 16*v**3\/3 + 8*v**2 + 717. Find the third derivative of n(l) wrt l.\nAnswer: 42960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:49 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1545 by -1123.\nAnswer: -1545\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*u**2 - 24*u**4 + u - 38*u**4 - 287*u**2 wrt u.\nAnswer: -1488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11. Let c(b) be the third derivative of v + b**2 + 1\/8*b**4 + 1\/120*b**6 + 1\/20*b**5 + 0*b + 1\/6*b**3. Factor c(f).\nAnswer: (f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b - 3*b)*(5 + 4 - 3) - 3*b + 0 + 0 - 2*b - 2*b - 2 + 6*b.\nAnswer: 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*f + 16, 2*f + 20 - 7 = 3*i. Suppose -6*o - 10 = 2*h - 2*o, -i = h + 3*o. Let x = -53\/3 - -215\/12. What is the nearest to 0 in 1\/3, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and -4104.951?\nAnswer: 4106.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132826*z + 307 = -132716*z + 1517 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -10) + (8 - 7) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 16) + (-10 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 990 divided by -10\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -27, -42, -61, -84?\n\"Answer: -2*w**2 - 5*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22*0.66\nAnswer: 14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 9*n**5 - 4*n**3 + (3 - 3 + n**5)*(-4 - 3 + 5).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-2) - 34974\/(-2349). Which is the third biggest value? (a) s (b) -41\/5 (c) -1 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iknnnnnnn. What is prob of picking 2 n and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171745761.\nAnswer: 3, 11, 23, 41, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 41 + 147 = 0. Let o = d - -59. Find the common denominator of 2 - 2 - o\/7 and 47\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4878 + -3209. Suppose -7*u - 8 = -5*u, 5*u + k = c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*l - 14, i - 5*i = -2*l - 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 3222650984*h - 649092460292260516.\nAnswer: -4*(h + 402831373)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11165290 a multiple of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 2\/17, -4.5, -10.7, -40, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(5\/(390\/(-18)))\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5\/2 - 477*d**4\/2 + 1623*d**3 - 4134*d**2 + 4572*d - 1824 = 0.\nAnswer: 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3869\/146)\/((-3)\/3 - 9165) and 71\/22?\nAnswer: 201652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*j - 154952 = 723*j - 2178*j - 1115*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.2 (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/300470 and 1\/2433807.\nAnswer: 24338070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 1284*y**3 + y**2 + 641*y**3 + y + 644*y**3 in the form l*y + c + a*y**2 + o*y**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*a*z + 2*z + 80 wrt a.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.5. Let m = -0.04975 - 0.05025. What is the nearest to m in u, 1\/3, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 18. Let n(k) = k**3 + 6*k**2 + 5 - k + 4*k + 3*k. Let m be n(v). Solve m = 3*w + 1 - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0, 2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 7*f - 8. Let w(m) = 10*m - 4. Let l be w(4). Let q(s) = 12*s - 58. Let i be q(5). Suppose 0 = d - 2*o - 12, 9*d - l = 4*d + i*o. Give k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.482 greater than -2\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267061970 divided by 3815171.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -39*q**3\/4 + 25955*q**2\/8 + 4048*q + 1169\/2 = 0.\nAnswer: -14\/13, -1\/6, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -2*g**6\/15 - 4*g**5\/5 + 11*g**4\/3 - 4*g**3 + 2*g - 205. Factor i(f).\nAnswer: -4*f*(f - 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)*(-1 + 0). Suppose -l - 7 = -2*l + 3*s, 0 = p*l + s - 1. Suppose -4*t = -q + 6*q, -3*t = 3*q. Is l at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (10 - (-8 + 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 17 - -7 - (-2 + 1 - 13)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -46 - 158. What is the remainder when q is divided by ((-78)\/(-15))\/((-1)\/(-5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 + 11454*k - 11452 = 0.\nAnswer: 1, 5726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -10, 14, 46?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67360, 134295, 201230, 268165?\nAnswer: 335100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*w + 8, -4*h + 196 = -w + 204 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (455*h**3 + 986*h**3 + 161*h**3)*(-3*h**2 + 6*h**2 - 2*h**2).\nAnswer: 1602*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2346, -4181, -6020, -7869, -9734, -11621, -13536, -15485?\n\"Answer: -n**3 + 4*n**2 - 1840*n - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n*n)\/n**4)\/((n*n**(-5))\/n**(-1))*((n\/((n**(-2)*n)\/n))**(1\/8))**(-25) assuming n is positive.\nAnswer: n**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -223096?\nAnswer: 223096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3488047 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0029 (b) 4\/5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(((-1116)\/(-2511))\/(10\/(-3)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67 - 36*s**2 - 46 - 41*s**2 + 5*s**2 - 3*s - 42*s**2 wrt s?\nAnswer: -228*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + (sqrt(120) - 6*1*sqrt(120)))\/sqrt(10))\/(3*(sqrt(4)*-3 - sqrt(4))*-1))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 21864 = 2920. Let c = o - -2244. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17067 + 17069. Sort t, 10, 1\/6, -3, 12 in decreasing order.\nAnswer: 12, 10, t, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 3*a**4 - 2*a**3 + (a - 2*a + 2*a)*(2*a**3 + 0*a + 0*a) - 5*a**4 + 2*a**4 + 0*a**4 to the form p*a + y*a**4 + w*a**2 + n*a**3 + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(15\/(-6)) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 21 = 22*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -1, 62, -4, 2.14?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833836 is divided by 611137.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2*l + 6*a, -5*l + 5*a - 29 = -104 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0, -2\/3, 50, -8, 0.11 in decreasing order.\nAnswer: 50, 2\/3, 0.11, 0, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 12*v**2 + 6*v + 6. Let q be r(-12). Let x = q - -71. Let f(s) = 2 + s**3 + x*s + 2 - 6 - 3*s - s**2. What is f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14562\/5 >= 2913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -35496 != -1019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/10)\/((-22)\/(-110)). Solve n = -4*x - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007176446647 to five dps.\nAnswer: 0.00718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 6 - 4*s**2 + 7\/3*s**3 + 1\/4*s**4 - 12*s. Let d be v(-8). Sort 5, d, -3 in descending order.\nAnswer: 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -2. Let d be ((-46)\/(-3))\/x + 44\/(-66). Suppose -774 = -4*r + 5*n, 2*n + 754 = 4*r + d*n. List the prime factors of r.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/15 (b) 2\/69 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 50*u**2 + 384*u - 936 = 0. Calculate u.\nAnswer: 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1 - 4*w + 12*w**2 + 3 + 0. Let k(m) = -35*m**2 + 13*m - 7. Let o(y) = -11*g(y) - 4*k(y). Let s(a) = 9*a**2 - 9*a + 7. Calculate -7*o(l) + 6*s(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 5*s**3\/6 - 3*s**2\/2 - s. Is 2 a factor of f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 15, 5, -1408 in ascending order.\nAnswer: -1408, 5, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-4*-6 + sqrt(77))*4*-4)\/((sqrt(6336)*1)\/(sqrt(4) - sqrt(400)*1)).\nAnswer: 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683905831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yipy. Give prob of picking 1 p and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 3 (c) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**5 - 37*y**4 - y**3 - y**2 - 1552 wrt y.\nAnswer: -120*y**2 - 888*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1898 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let w be 1*(-92)\/(-28) - b. Sort -0.1, -3, w in descending order.\nAnswer: w, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/921855 and -17\/27135?\nAnswer: 1667635695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-812)\/252 + 3)*(-7)\/((-126)\/(-891))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1074, -940, -802, -660?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/62 - (-1)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:14 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1217336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304568 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 1, 3*q + 5*d = 155730005. Round q to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h - 5*f - 28 = 0, -f + 40 = 3*h. Suppose -k = -4*k + h. Let s = 1\/18 - -13\/90. Sort 1, 1\/4, k, s in descending order.\nAnswer: k, 1, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 3}. Give prob of sequence yy.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m - 107. Suppose 5*i = k + 118 - 123, i + 13 = -k. What is x(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2220301 in 1\/6, 3\/5, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u - 2*u)*(-1 - 2 + 4)*(-4*u - 3*u + 5*u)*(-21*u - 25*u + 36*u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*111\/592*((-224)\/(-20))\/(-2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 40 - (3 - 1 - 6 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -28, -3, 32?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 18. Suppose 10*i = z*i - 74. Let s = i + 39. Which is bigger: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/640 and 31\/6592.\nAnswer: 65920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.2, -1\/2, -1.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 19*c - 7*c + 651*c**2 - 12*c.\nAnswer: -2*c**3 + 651*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -26. Let c = -27.9954 - j. Round c to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 231, 796, 1889, 3684, 6355?\n\"Answer: 29*t**3 + 3*t**2 - t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 - 96. Suppose 7 + 32 = j*x. Solve 11 = x*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 21*i**2 - 20*i + 38. Let r be p(-22). Let y = r + 20. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36622 and -1261.12678.\nAnswer: 35360.87322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 881, 1491, 2115, 2759, 3429, 4131, 4871, 5655?\n\"Answer: i**3 + i**2 + 600*i + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuqzvhqvcvqq. What is prob of sequence cqh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 141 = -4*t, -5*k - 13 = 2. Solve 2*l = t - 34 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6 + 14\/(-21). Let f(r) = -6*r + 1. Calculate f(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156840 divided by -6.\nAnswer: 26140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 660+0.3\nAnswer: 660.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.5. Suppose 4*s - 5 = -s. Let q be -1 + s*2\/(-2). Which is the third biggest value? (a) q (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by ((-728)\/(-65) + -10)*25?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 16190\nAnswer: 283\/16190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 25*m**2 - 30*m + 78. Let c be (6 - -7)*(2 - -8)\/(-5). What is the smallest common multiple of 6 and z(c)?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101010?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 6108495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11431*i + 8*i**5 + 11431*i - 90*i**2 wrt i.\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19258, 19259, 19260, 19261, 19262, 19263?\nAnswer: 19264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56 and 15366534119.\nAnswer: 15366534175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose s*o + 6 = 14. Suppose o*l + 5 = 7*l. Solve d + 0 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 21. Let a be -2*(f - (-97)\/(-2)). Suppose -2*v = x - a, -473 = -5*x - 5*v + 32. Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87324 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19200 is divided by 211.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 16*l + 20. Let n be y(-9). Solve 0 = v - n*p + 5 - 3, -2 = v + p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -2, 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:26 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**2\/2 - 5*u + 5. Let x(z) = -2*z - 3. Calculate 6*a(s) - 10*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 374 - 367. Solve -3*w - y = -d, -1 = 4*d - 7*d + 4*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g - 72 = -20*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 5*j**5\/12 - 31*j**4\/24 + 53*j**3\/6 - 33*j. Let y(v) be the second derivative of p(v). Differentiate y(x) with respect to x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5540335?\nAnswer: 5, 43, 73, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 2*c**2 - 2*c**2 + 143*c**4 - 122*c**4 - 114*c**4 + (2*c + c**2 - 2*c)*(2*c**2 + 1 - 1) as s*c + i*c**3 + w + f*c**4 + y*c**2 and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 at least as big as 314\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 9*l**2 - 5*l - 8. Determine z(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 175 + -126 - (-14 + -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**3 - 7*t**2 - 6*t + 4. Let x(u) = -36*u**3 + 36*u**2 + 30*u - 21. Let b(p) = 21*k(p) + 4*x(p). Let b(m) = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/2 + 9694*z**3 - 388854*z**2 - 5712768*z - 18184608 = 0. Calculate z.\nAnswer: -19428, -6, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1672, 3, -1, 467 in ascending order.\nAnswer: -1, 3, 467, 1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from pqqqqppqqqqpqp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*n + x = 231*n - 202 + 213, -2*n + 9*x - 163 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79635697.\nAnswer: 367, 216991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 + 12*b + 32. Calculate g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623 = 91*z + 199 + 361 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:18 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 63*f**2 + 17*f - 77. Is s(63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 553*i - 868 - 5768 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2213 in -3, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 61 = 3*u, 9*v - 13*v = -2*u + 40. What is the remainder when 491 is divided by (-2)\/9 + v*(-40)\/36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**4 + 6477*h**3 + 4851*h**2 = 0. Calculate h.\nAnswer: -539, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195954753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/14*((-56)\/10)\/((-9219)\/(-2634)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-1092))\/(3\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160700 - -33747137\/210. What is the common denominator of -28\/885 and q?\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 18441?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -117681.088442773 and -0.02?\nAnswer: 117681.068442773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + q**3 + 0)*(q + q + 0*q) + (-586*q**4 - 449*q**4 + 871*q**4)*(0 + 0 - 2)*(-1 + 1 - 1) to the form u*q + y*q**2 + n*q**4 + i*q**3 + f and give n.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2550 and 38400.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 17*l**6\/20 + 48*l**3 + l**2 + 281*l. Differentiate p(r) with respect to r.\nAnswer: 306*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 + s + 6. Let o be y(6). Let r = 62 + o. Factor 6*c**2 - 9*c**2 + 3 + 6*c**r - 2*c**2 - 4*c.\nAnswer: (c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090000 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-906)\/4 + 2\/(7 + -11). Let k = l - -1592\/7. Sort k, 5, -0.2, -0.1 in decreasing order.\nAnswer: 5, k, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8 - 3.6. Let m = g - 6.6. Sort m, -0.1, -2\/11 in decreasing order.\nAnswer: -0.1, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and 401704427549.\nAnswer: 401704427548.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 489 + -484. Calculate the smallest common multiple of w and 444.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from ppappppaaa?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -0. Let j be x + (-1 + -1 - -6). What is the second derivative of j*g - g**2 - 5*g + 5*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6522438355.\nAnswer: 5, 6529, 199799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2427*t - 87 = -2422*t - 3*m, 5*t = m - 79 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -44?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 4. Let u be w(0). Let o(c) = c + 1 + 9*c**2 - 11*c**2 - 1. Let l(x) = x. Let y(p) = u*l(p) - o(p). Find the second derivative of y(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*u = -121*u. Let v(r) be the second derivative of 1\/5*r**5 + u*r**2 + 0*r**4 - 2\/3*r**3 + 0 - 9*r. Solve v(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3471556 divided by -22\nAnswer: 157798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 2. Let x be v(5). Suppose -x*w - 104 = -1028. Let d = w - 271. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7794 - 13143. Let k = -12739 - t. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/58*(-81)\/(-135). Which is the third biggest value? (a) 4 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61804 is divided by 60112.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(2 + 36\/(-8)). Find q, given that g*q + 0 + 1\/5*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 48 = -419*j + 421*j, 4*c - 32 = 0. Let t(r) = -12 - 4 - 7 + r. Calculate t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -0.24. Let x = k - 4.8. Which is the second smallest value? (a) x (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26141 + 26150. Calculate the lowest common multiple of 282 and q.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14690707, -14690710, -14690713, -14690716, -14690719?\n\"Answer: -3*d - 14690704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*a**4*t + 12*a**4 - 539*t wrt a.\nAnswer: 88*a**3*t + 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*u - 94 + 21, -126 = -5*a - 4*u. Suppose -21*t + a*t - 1185 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -2*m. Let v(b) be the second derivative of 0 + 5\/6*b**3 - 1\/12*b**4 - b**m + 3*b. Calculate v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700 divided by -140\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 261681?\nAnswer: 261678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 3, i: 2, c: 5}. What is prob of picking 2 b and 1 c?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30 + 2 + -8)\/(18\/(-228)). What is the greatest common divisor of x and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5935*l - 2 + 5942*l - 3. Calculate p(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 divided by -393?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1077*y - 65762. Calculate g(61).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -165. Let z = -55 + k. Suppose 3*b - 889 + z = 0. Calculate the greatest common factor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49661 (b) -5 (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b - b - 88*b + 25*b - 129*b.\nAnswer: -237*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450222935 take away 0.2?\nAnswer: -1450222935.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (sqrt(33)\/sqrt(3))**2 + (3*sqrt(66) + sqrt(66))\/sqrt(6)).\nAnswer: 36 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 30 + -29 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 5*i**2 + 4*i**2)*(4 - 4 - i + 3*i - 2*i + 0*i + (-1 + 2 - 4)*(i - 2*i + 2*i)) + (-4 + 4 - 2)*(1458*i - 1458*i + 15*i**3).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let j(a) = 12048347*a. What is w(j(k))?\nAnswer: 48193388*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -35*b + 33*b - 7. Let q = 5.9 - -1.1. Let r = 1 - 5. Sort r, b, q.\nAnswer: r, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 105 - 41 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.525 - 2.53. Let c = 0.065 + l. Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -444 (b) 0.03 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57575 and 460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*w + 5*x, 0 = w + x + 40 - 30 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.145 to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 z, and 1 q when four letters picked without replacement from {z: 2, l: 3, p: 3, q: 7}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = 20*o - 2407. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.05, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510 - -502) + 6 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 250\/(-180)*(-5 - -1) + -5. Let t be (2\/3)\/((-2)\/(-3)). Let b be (2 + -3 + 1)\/t. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*d + 288*d + 1465*d.\nAnswer: 2648*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8832413.526 rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -12. Let w be (n + 27)\/((-2)\/(-11)). Is ((-347)\/6*4)\/((-22)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-2 + 4 - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1421\/630 - 3) + (-354)\/54 + 7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 57938322?\nAnswer: 57938322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 116*t + 820. What is z(-8)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.4 * -0.0075.\nAnswer: -0.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5199*f - 5193*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*t**3 - t**2 - 48782*t - 1322384 wrt t.\nAnswer: 18*t**2 - 2*t - 48782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 7. What are the prime factors of (265\/i)\/(2\/6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 7470?\nAnswer: 97110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56407 is divided by 3317?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -31*a + 8784. List the prime factors of z(85).\nAnswer: 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**3 - 91*c**2 + 8*c + 5589. Determine l(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11082 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/7 - (35 - (29 + 0\/14))\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 0) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (((sqrt(567) + 0 + sqrt(567))*-1 - sqrt(567)) + sqrt(567) + (0 + sqrt(567))*1 + (sqrt(567)*1 + sqrt(567) - sqrt(567))*1 + -4)**2)*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u + 104. Let f be (-6)\/u + 14\/91. Let i = f - -665\/26. Calculate the common denominator of i and 57\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -25*c**2 - 2*c - 18. Suppose 10*z + 53 = 273. Let o(h) = 126*h**2 + 11*h + 91. Let u(k) = z*n(k) + 4*o(k). Find the first derivative of u(q) wrt q.\nAnswer: -92*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 16. Let r be u(-3). Let w be r\/24 - 124\/(-24). Solve 0 = 3*q - 2*p - 0*p + 8, -w*q + 3*p = 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = x, -4*x - 5*h - 10 = 2. Let c(f) = f**2 - 3*f**x + f**2. Let y(z) be the third derivative of -z**4\/12 - 2*z**2. Calculate c(y(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46.239 - 35.\nAnswer: 11.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, 60, 1 in increasing order.\nAnswer: -13, 0, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/142314?\nAnswer: 7\/142314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/1*(-707)\/(-6363).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011857 + 37.81.\nAnswer: 37.821857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -185*d + 160*d + 1926725. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 439, 1509, 3589, 7015, 12123, 19249?\nAnswer: 28729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from qjjhhmjhqq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2955 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36141 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-147))\/((-40)\/(-20))*456\/152?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.2052009km?\nAnswer: 20520.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7053814 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1\/3*b**3 + 1\/6*b**4 + 36*b - b**2 + 0. Determine x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2409*j - 5344*j + 225662 = -1328*j - 134138 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-247515)\/(-58). Do 2845 and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rarx when four letters picked without replacement from {r: 2, f: 2, x: 1, h: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9261 or -8959?\nAnswer: -9261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 252128751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 13 + (7 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 36*y - 22*y + y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 135\/7, 3642.2, 1\/4?\nAnswer: 135\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -987*z - 21. Let a(k) = 205*k + 4. Let y(t) = -24*a(t) - 5*i(t). Let q(x) = 14*x + 8. Determine -5*q(h) + 4*y(h).\nAnswer: -10*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46552)\/(-1587)*18\/32)\/(0 + 3\/18)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 8*m**2 - 7*m + 4. Let n be z(-7). Is 3\/(-5) - n\/10 - -878 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o)**(-11)*(((o\/(o\/o**(-2\/7))*o)\/o)\/o)**(5\/12) assuming o is positive.\nAnswer: o**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1638 divided by 78?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/22*-37 + 42\/231. Suppose -51*h + b*h - 9 = 0. Suppose -h*n - 4 = 8, 839 = 5*m + 4*n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.71 - 0.29. Let h = w + 25.3. Let n = h + 0.7. Which is the closest to -1\/3? (a) -4 (b) -2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/35 and 113\/8670.\nAnswer: 60690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -183. Let l(x) = 8 + 4 - 12 - v*x**2. Let p(r) = -r. Determine l(p(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2816*g = -2802*g + 14. Let z = -8 - -7.68. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 54. Let w = p - -32. Sort -4, w, -2, 6 in descending order.\nAnswer: 6, w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -1.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:23 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 8*m**2 - 9*m + 2. Let c be o(9). Suppose c*t - t = 133. Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 8.25, 1\/3, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/221 + ((-46157)\/1717 - -27)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 17666*t - 7.\nAnswer: 17666*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:28 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.755 + 0.105. Let n = 0.791 - t. Let k = 6.131 - n. Round k to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 34 = -p, -8611*m + 8614*m + 34 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 17*a**3\/3 - 6. Let i(f) = f**2 + f + 1. Let l(u) = 8*u**2 + 7*u + 7. Let y(n) = -14*i(n) + 2*l(n). Calculate y(v(t)).\nAnswer: 578*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 46*o**2 - 41*o + 14. What is the units digit of d(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 267 (c) -2\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.297099 decades to months.\nAnswer: 1115.65188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9746 minus -17.135?\nAnswer: 9763.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-9)\/3)\/(-6). Let q = g - -7. Solve 0 = -4*o - q*c - 18 + 3, 3*c + 9 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfpa when four letters picked without replacement from lptfppllpltpllla.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 1. Let d be 4\/g - 2\/12. Let m = -0.1 - 0.9. Which is the closest to -0.3? (a) m (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -6, -3, 13, 292 in decreasing order.\nAnswer: 292, 13, 4, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 1. Let a(i) = -i**3 + 9*i**2 + 23*i - 13. Let s be a(11). Give g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1385 - 1385 - 1058*f**2)*(-f**3 - 3*f**3 + f**3).\nAnswer: 3174*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*x + 2, -3*a + 139*x = 138*x - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21481 + -21441. Which is the closest to -3\/2? (a) x (b) -0.4 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1 = 0, -200*t + 204*t + u - 9 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14038*p + 2*j = -14035*p + 41, -3*j - 32 = p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1746)\/99)\/((-360)\/(-396))\nAnswer: -97\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-1)\/(-6) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkbb when four letters picked without replacement from oogogbkwwgbokg?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + j**2 - 7*j**2 - 5*j - 1 + 6. Let q(i) = -8*i**2 - 14*i + 14. Calculate 5*q(b) - 14*t(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229\/55 - 48\/11. Which is the nearest to 0.2? (a) j (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1167, 2337, 3507, 4677?\n\"Answer: 1170*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.194 - 0.194. Which is the closest to 1\/2? (a) -1\/3 (b) -6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.1 (b) 7 (c) -0.1662\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -16, -0.4, -2\/25, 35\/8 in descending order.\nAnswer: 35\/8, 2, -2\/25, -0.4, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2968965993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c + 1 - 2*c)*(1 - 2 + 2)*(0*c - 11*c - 7*c)*(3*c - 7*c + 2*c).\nAnswer: 72*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 o when four letters picked without replacement from wtfwiitiiiwiotjioo.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 6*v - 4. Let a be j(4). Let l be ((-5)\/2)\/((-1)\/2). Suppose -50 = -o - o - a*s, l = -o + 4*s. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -9*m + 127. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826*z**2 - 826*z**2 + 27*z**3.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9381 + 9385. What is the smallest value in -4, 3, 0.371, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 4 in descending order.\nAnswer: 4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Suppose -44 = -3*s + w*s. Let k = s - -32. What is the least common multiple of k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2556 - 0?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-832)\/6*6\/(-4). Find the third derivative of -6*f**3 + s*f**2 - 376*f**2 + 197*f**2 wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8*d. Solve -8 = -d*r + 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -12, -3*i = -4*l + i + 12028. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352731468 a multiple of 4601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 3*h**2 - 5*h + 8. Let u be n(4). Let i(m) = -m + 5*m + 2 - u - m - 5. Give i(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.3, -1\/4, 0, 10, -104, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(-4491)\/90*-5*1 is divided by 204?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18d834 (base 15) to base 10\nAnswer: -1210099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 993*(-3)\/(-45) - (-1)\/(-5). Suppose 8 = -h + 2*m - 5, -2*h - 4*m - t = 0. Sort -4, 1, h in decreasing order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12192 = 3*t, 135*l - 139*l + 2*t = -24400. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/54*-9)\/(1\/6). Factor -4\/3*t - 1\/3*t**c + 5\/3.\nAnswer: -(t - 1)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let v(m) = 2*m**2 + 7*m - 2. Let c be 0\/(0\/4 - -1). Suppose c*s - s = 6. Determine s*b(o) + v(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41422 is divided by 812.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 + 0*m**2 + 0*m**2)*(6 - 40 - 3)*(-25*m**2 - 2*m + 2*m) in the form d*m**4 + v*m**3 + q + o*m**2 + c*m and give d.\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 2053166 = 2053412 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -19. Let c = -17.6 + 17.7. What is the third smallest value in -1, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 + 1)*-1. Is 9\/5 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t + 3*t - t + 3*t + 3*t + (-2 + 2 - 2)*(-t + 0*t - t) + 3*t + t - 5*t + 2*t + 1 - 1)*(8*t**2 - 29*t**2 + 19*t**2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3495667285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13006 at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 3*o - 3. Let n be l(5). Suppose n + 8 = -8*q. Sort -6, q, 2, -1 in increasing order.\nAnswer: -6, q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w + w + (-3 + 0 + 2)*(-2*w - w + 2*w) + w - 2*w + 3*w + (2 - 4 + 3)*((-2*w - 2*w + 3*w)*(1 - 3 + 0) - 2 - 69*w + 12*w - 20*w).\nAnswer: -71*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 38*z - 37. Give k(36).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 27. Let j be y(-11). Let g(n) = 48*n**2 - 16. Let t(k) = 16*k**2 - 5. Let c(s) = j*g(s) - 16*t(s). Let f(p) = -p**2. What is c(f(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = w + w. Let l(v) = -v - 10. Let n = 31 + -44. What is the remainder when w is divided by l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -234, -240, -250, -264, -282?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-4) - 60\/48)*834. Let o = b - -1048. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 145*c - 860. Calculate t(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q - 129*q = -52*q + 165*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 - 1372*j**3 - 234540*j**2 - 10943424*j - 111041280 = 0?\nAnswer: -72, -14, 1530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2176 - -2320. Calculate the greatest common factor of 414 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 17*u**2 - 2*u + 35. Determine b(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.72974 + 0.27026. Let x be 20\/6*(-6)\/(-25). Which is the third biggest value? (a) j (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - -2) - (-2 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3194?\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -818 + 835. What is the remainder when 81 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2\/5 (b) 0.3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29285, -29673, -30061?\n\"Answer: -388*t - 28897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 4*r - 58. Let h be l(13). Let v = -60 + h. Let z(c) = -2*c. Let d be z(v). Solve -d*b = -3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -36, -64, -108, -174, -268, -396, -564?\n\"Answer: -t**3 + t**2 - 14*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 22*k**2 + 7*k - 22. Let s be a(22). Let y = -91 + s. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1866 and 146481.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*7\/(392\/24)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m**4\/7 - 44*m**3\/7 - 558*m**2\/7 + 864*m\/7 + 864\/7 = 0 for m.\nAnswer: -4, -12\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w. Let s = -11 + 14. Let b(p) = -2*p + 5*p - 2*p - s*p. Give b(l(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3.5, -3, -2\/7, 0.01, 8, 0.\nAnswer: -3, -2\/7, 0, 0.01, 3.5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 + l**4\/12 + 160*l**3\/3 + 46*l**2. Suppose -3*i - 15 = -3*r, -4*r + 30 = 5*i + 10. Is 42 a factor of b(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -833 + 832.94. Let w = -0.18 - -0.28. Which is the closest to w? (a) o (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*x + 222*x - 347 - 43 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 233 + 0 - (10 - 15). Suppose -4*u + 388 = 4*y, 2*y = 5*y + 2*u - 296. What is the greatest common factor of p and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (0\/1)\/5. Let k be 22590\/(-15)*(-2)\/o. Suppose 5*b - 2*b = k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 192, 199, 216, 249, 304, 387, 504?\n\"Answer: z**3 - z**2 + 3*z + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22135 (base 7) to base 16.\nAnswer: 15bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 92080950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1\/16 (c) -28 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 + 0*w**3 + 0*w**4 - 1\/60*w**5 + 11*w**2 + 0*w. Let n(u) = -3*u. Calculate n(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-3 + sqrt(405) + -2 + sqrt(405) + sqrt(405) + 2*sqrt(405) + -2 + sqrt(405) + -3)**2*-4 + 4).\nAnswer: -17280*sqrt(5) + 234868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*x - 25, 27*z + 3*x = 25*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -79*b + 94. Let i be z(4). Let r = i + 222. Solve 10 = -5*f - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l. Suppose l = 5*g - 5*j - 15, 0 = -2*g - 3*j - 9. What is the tens digit of (-19)\/2*(g - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 57956 - 57956.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2928*t**3 - 5*t**2 - 2*t + 2. Is r(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-160)\/55 + 3)*1. Let u = 64.32 - 64. Let g = 0.32 - u. What is the smallest value in g, -2\/7, 6\/13, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262.58 - -0.58. Let y = 259 + n. Let q be (240\/27)\/4 + -2. Which is the nearest to -1? (a) q (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1748 - 1748 + 14*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 65*k**2 - 738*k - 3897. Determine m(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(14)\/sqrt(2)*-3 - (4*(sqrt(112))**2 + sqrt(7))) + (sqrt(1260)*-1)\/sqrt(5) + 0.\nAnswer: -2240 - 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -659, -1312, -1961, -2606, -3247?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a349 (base 14) in base 2?\nAnswer: 10001010001010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Let q = 16 + -13. What is the derivative of -2*z**3 + l*z**3 + 1 + 7*z**4 - 4*z**q wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177.5 + 194. Let f = -16 + m. Which is the fourth smallest value? (a) f (b) 0 (c) 2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 15983?\nAnswer: 207779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2082 + -0.7918. What is the closest to 2\/3 in p, -0.1, 2, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-28)\/(-5))\/(2\/40). Calculate the common denominator of ((-102)\/o - 1)*114\/16 and -81\/104.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -7*g**3\/3 - g**2\/2 - 2*g + 271. Determine v(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d - 2. Let f(v) = 6*v - 3. Let j(i) = -4*f(i) + 3*t(i). Factor j(u).\nAnswer: 3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -120. Solve 5*d - k = 0, 0 = 4*b - 0*d - 3*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = -29. Solve 2*w + 16 = n*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*k + 78. Suppose -a + 477 = 5*i, -6*i + i - 3*a + 471 = k. Suppose -6*l + i = 6*l. Solve 6*b - 31 = l*b - 5*z, 20 = 4*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/727453 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 74*q**2 + q. Let x(a) = 18*a - 4*a - 7*a - 5*a. Calculate l(x(h)).\nAnswer: 296*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -259, -500, -713, -898, -1055?\n\"Answer: 14*c**2 - 283*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 2. Suppose 4*x = 6*x - 8. Let t be i(x). Let d be -1*(-110)\/5 + (2 - 3). Calculate the greatest common divisor of t and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 7*m**2 - 3*m - 6. Let d be v(4). Let x = d - -38. Factor -6*s**5 + 9*s**x + 4*s**2 - 4*s**5 - 18*s**3 + 15*s**4.\nAnswer: -2*s**2*(s - 1)**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 28) + (-11613)\/395.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.778075 centuries?\nAnswer: 0.6778075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754398097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 21*p + 156. Solve 0 = -10*g - g + p*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-9)\/(o\/((o*(o**(-5\/4)*o)\/o)\/o*o)*o*o\/((o*o*o*o**4)\/o*o)*o))\/((o**4\/o**(1\/3))\/(o\/o**(1\/3))**37) assuming o is positive.\nAnswer: o**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201094565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cooc when four letters picked without replacement from {c: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/44 - 10*(-10)\/40. What is the third smallest value in u, -5, 1, 2.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -2664?\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 2. Let y(t) = 6*t + 3. Calculate -9*h(a) - 5*y(a).\nAnswer: -3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 1. Let i be (414\/12)\/(-23)*(2 - 4\/6). Determine m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28150 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 18, 170\/57, -2\/3.\nAnswer: -5\/2, -2\/3, 170\/57, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -587 + 773. Calculate the highest common divisor of h and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -889928 - -181029. Let c be 1\/(-7) + b\/84. Let m = 8445 + c. Find the common denominator of 131\/18 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*(-7062)\/535.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 8. Let x(a) = -6*a + 44. Let t(c) = 11*l(c) + 2*x(c). Let s(n) = -3*n + 3. Give -s(b) - 2*t(b).\nAnswer: 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, d: 3, i: 2, a: 6, y: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**6\/3 - s**3 + 73*s**2 + 44. Find the second derivative of p(c) wrt c.\nAnswer: 40*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*c = -593*c - 836 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(0 + 1 + sqrt(2736) + (-1 + sqrt(2736))*4) + 2)*5.\nAnswer: -7500*sqrt(19) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*g*y**2 + 30*c*y**2 - 16*c - g*y**2 + g + 5448*y**2 + 1906*y wrt y.\nAnswer: 2*c*g + 60*c - 2*g + 10896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 80*l - 2172. Calculate s(26).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 0*p = 4*p + 7, 0 = 4*p - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(2 - 3 + 3)*(5*u - u - 2*u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -16*y + 3*y + 5*y - 9 - 3*y - y**2 + 0*y. Let t be l(-2). Solve 0 = 3*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 90 = -5*r. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1)*(-3 - -4). Which is the second smallest value? (a) -3\/4 (b) 1\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*g - 2390, 0 = 2*n - 4*g - 932 - 22. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210100101 + -2?\nAnswer: -210100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -17 - 7 - (7 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/(-8) - (6\/2)\/12. Suppose -11*a = -r*a + 125. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.8 (b) 445 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.4 in -3\/8, -2\/3, -966, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by -3.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -30. Suppose -200 = -15*u + q*u. Suppose 0*c - 2*p + 967 = 5*c, 5*p + u = 0. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1029*j**4 + 2053*j**4 - 15*j - 1029*j**4 + (-2*j**2 + 0*j + 0*j)*(0*j**2 + j**2 - 2*j**2).\nAnswer: -3*j**4 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(-2*i + 0*i + i)*(-4*i**4 - 13 + 13) - 32*i**5 - 29*i**5 + 15*i**5.\nAnswer: -58*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/220 + m**4\/132 + 8*m. Factor f(w).\nAnswer: w**2*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -47. Let o be ((-3)\/(-4))\/((-3)\/12)*t. Is ((-1795)\/o)\/(1\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.23 in -0.21, 1\/4, 0, 3, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 8*u = 12*u - s - 3, -85 = -10*u + 3*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6481.\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/304 and -65\/532.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 - (-3)\/9. Let p(m) be the second derivative of 0*m**2 + o*m**4 - 1\/9*m**3 + m - 1\/30*m**5 + 0. Factor p(w).\nAnswer: -2*w*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -4. Find the first derivative of 3*m - 4 + 6 + 0 - n wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 14*m**2 + 3*m + 35. Give y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 - 15 - 11 + 28 - 2*j as c*j**4 + v*j**2 + n*j + m + g*j**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + (sqrt(832) - (1 + sqrt(832)))*3 + sqrt(832)*-2 + -4)*-3 + 2).\nAnswer: 84 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and 76\/561.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5229 - 5222. Let i(n) = -2*n**2 + 11*n + 3. Calculate i(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 25*p**2 + 53*p - 4. List the prime factors of f(26).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2)\/(14\/826). Suppose v = -4*b + w, v - b + 4*b = 63. Let c = v - 66. What is the least common multiple of 3 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(0 + u + 0 + (-10*u + 5*u - 9*u)*(34 + 22 - 36))*(3 - 3 - u)*(-1 + 1 + 2).\nAnswer: -1674*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 5*t - 84, 4*t = -4. Let s = -59 - p. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240, 698, 1154, 1608, 2060, 2510?\n\"Answer: -d**2 + 461*d - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:41 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7596 and 20.\nAnswer: 37980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10148, -10145, -10142, -10139, -10136?\nAnswer: -10133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6146)\/(-49) + (-4)\/(-7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 + i - 2. Let o be r(4). Suppose 2*d - 8 = 4*w + 10, -3*w - 15 = 0. Sort 4, d, o in descending order.\nAnswer: 4, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*w + 144, 2*x + x = w + 132. Sort -3\/4, -1, x, 1 in ascending order.\nAnswer: -1, -3\/4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/96 - 1\/3. Let s be ((-45)\/(-54))\/(35\/14). Which is the second smallest value? (a) 0.2 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-125)\/(-4))\/((-11)\/(-44)). Let s = -71 - -68. What is the smallest value in w, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9627\/20 + -2408\/5. What is the closest to 2\/7 in g, 2\/3, -0.4, 196?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9. Calculate l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let t(r) = -34*r - 36*r + 69*r. Let n(i) = -13*t(i) + 6*z(i). Let u(g) = 28*g**2. Calculate u(n(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 4, w: 1, k: 11}. Give prob of picking 3 k and 1 w.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*y = 30, 30*l - 26*l - 3*y - 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753920980 a multiple of 4507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(3 - 5 + 0)*(3*t**3 + 2*t**2 - 2*t**2).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 26. Solve -a*l = -0*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 - 82393*s**2 + 60759*s?\nAnswer: 12*s - 164786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48667645 divided by 13.\nAnswer: -3743665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*r - 5*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -370557203\/364 - -1018015. Let n = p + 4\/91. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26611187*b**5 + 887167975*b**2 wrt b.\nAnswer: 1596671220*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 10, l: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3816 bigger than -3816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/133245 and -79\/97713.\nAnswer: 1465695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.06. Let g = -0.14 + n. Which is the nearest to g? (a) -2\/11 (b) -3\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let m = 7 + x. Solve -5*y - 2*g = -3*g - 13, 5*y + m*g = -2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -24*o + 141. What are the prime factors of v(0)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-160)\/120)\/(1\/(-129)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -q. Let w = 5 + q. Solve 20 = -w*k + 3*k - 2*m, -5*k + 8 = 3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3803768t to nanograms.\nAnswer: 380376800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439.9 + 620. Let f = w - 180. Let d = 0.2 + -0.24. What is the third biggest value in -2\/3, d, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -n + 20. Let t = -13 + n. Solve -t*u + 0*u = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 4*l**2 + 0*l**2)*(6 + 12 + 42) + l**2 + 0*l**2 - 5*l + 2*l.\nAnswer: 61*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-2*b**2 + 4*b**2 - b**2) - 58*b - 4741*b**2 - 3939*b**2 + 60*b - 2753*b**2 as v*b + j*b**2 + n and give j.\nAnswer: -11431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-880)\/48)\/(2\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdrvdvddevsuse. What is prob of sequence errr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002183 to 5 dps.\nAnswer: 0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.18 (b) -2\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-890)\/(-20)*(-1 + -1). Let f = 135 + g. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/2)*(r*r**(-32))\/r assuming r is positive.\nAnswer: r**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-7\/3)*g)*g*g**(-1\/4))**(-13) assuming g is positive.\nAnswer: g**(-481\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0781874 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4402840?\nAnswer: 2, 5, 13, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -63 (c) 3\/7 (d) -52 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(1113\/(-42)))\/(-64)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 28*u + 11. What is the tens digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 486 + -39. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11073*h**2 - 22144*h**2 + 11075*h**2. Let d(x) = x + 150. Determine b(d(v)).\nAnswer: 4*v**2 + 1200*v + 90000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 8*k. Let g(m) = 4*m + 705. Is g(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -397*x + 2816 + 1948 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190*i**3 + 385*i**3 - 97*i**3)*(-1 + 1 - i) + 3*i**4 - 3*i**4 + 3*i**4.\nAnswer: -95*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 178.0044g?\nAnswer: 178004400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -235*h**3 + 6*h**2 + 86*h + 511. Is k(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*s + 18 = x, -4*s = 16. Let g(v) = 16*v. Let t(k) = -3*k. Let f(j) = x*g(j) + 11*t(j). Let c(h) = -h**2. What is c(f(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*a + 388. Suppose 28*g - 6802 = -10*g. Calculate the remainder when g is divided by a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 4*h + 9, w - h = 2*h + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 638, 955, 1272?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 34 - 11*d + 17 + 5*d in the form l*d + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, w: 2}. What is prob of picking 1 x and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 0*b - 3 = -3*z, 3*z + 22 = -2*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24765 (base 8) to base 3.\nAnswer: 112201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 70*n + 531. Calculate the lowest common multiple of 682 and w(8).\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50, 49, 36, 5, -50, -135?\n\"Answer: -k**3 + 6*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 7:52 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00407489 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/19*3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7015, -8458, -9901, -11344?\n\"Answer: -1443*d - 5572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let m = 22 + -19. Which is the nearest to r? (a) -19 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/40)\/(7\/((-1428)\/9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*x - 137714 + 4914, -i - 79666 = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8215330 is divided by 631947.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*j - 32, -j - 3*p - 10 = 2*p. Suppose 0 = 2*x + 5*f + j, 5*x - x + 3*f = 11. Solve 0 = 3*c + h + 14, x*c + 4*h - h = -22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a6175 - 0?\nAnswer: -3a6175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -8*l - 114. Suppose 0 = -30*q + l*q + 165. Sort q, -6, 1.\nAnswer: q, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-36))\/(1734\/(-64802)). Let b = g + 75\/289. Let o = 9401\/10096 + 4\/631. Calculate the common denominator of b and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16096.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 16*d**3 + 9*d**2 - 3*d - 13. Calculate s(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/5 (b) 0.3 (c) 2\/195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24666262 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10974211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -18.9. Let r = 0.4 - t. What is the smallest value in 3, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15702, -15938, -16174, -16410, -16646, -16882?\nAnswer: -17118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 4. Let o(d) = -37311*d + 21 + 37306*d - 6 - 12. Calculate -2*c(h) - 3*o(h).\nAnswer: 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -52. Let y be (-2)\/(-3) - 175\/z. Let r(c) be the third derivative of -c**4\/24 + c**3\/2 - 206*c**2 - 3*c. Calculate r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - 4*k + 2 + 304*k**3 - k**2 - 3446961*k**4 + 3446962*k**4 in the form p*k + u*k**2 + h*k**3 + i + v*k**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(15\/4)\/(r*r**(-4\/13)*r)*(r\/(r**(6\/23)*r*r)*r)**(-7\/6) assuming r is positive.\nAnswer: r**(2825\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 4. Let g be b(-3). Let v = g + -1. Suppose v = 3*u, 3*u - 195 = -2*d - d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g - 24 = -2*j, 5*g = -2*j + 28. Let s be 3 - (2 + g\/4). Suppose s = -13*o + 14*o - 20. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51568 + -26870. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 59400442704*i + 59400442704*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4706, -4715, -4724?\nAnswer: -4733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, -23.7, 2\/13, 334?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-44 + 11826\/270)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6898519 centuries to months.\nAnswer: 827.82228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -9 + 27. Suppose 2*l + h = -c, -5*l = 3*c - l + 10. Let f(v) = -v**3 + 10*v**2. Let p be f(10). Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 111. Solve -n*q = -15 - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 14) in base 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*k + 45, -4*n - 4*k - 2 + 38 = 0. Suppose -n = -3*x - 4. What is the tens digit of 1*(x - 3)*-14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose -1 = l*v - 3*k, 4*k + 1 + 23 = -v. What is the units digit of (-82)\/(-4) - v\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/30 - 16*z**2. Let a(b) be the second derivative of b**4\/2 - 2*b. What is n(a(g))?\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from ncncccncncccnccncc.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**20*q)\/(q*(q\/(q**21*q))\/q)*(q**(-2\/7))**(-6) assuming q is positive.\nAnswer: q**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623.\nAnswer: 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, p: 2, k: 2, x: 1}. What is prob of sequence kl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4817695331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 563745.8 rounded to the nearest one thousand?\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221591 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24705 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 n(a) = -a**2 - a + 19. Let x be n(0). Let m = -83 + 131. Let r be m\/72 - 336\/(-9). Calculate the greatest common divisor of x and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -87. Suppose 388 = 2*s + m*y, -s + 4*y = -79 - 145. Suppose i = -3*i + s. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219\/280 - 1\/56. Which is the third smallest value? (a) r (b) 1\/2 (c) -5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1009\/494 - 75\/26. Let v = a - -603\/152. What is the common denominator of 55\/6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 4. Let z be g(-9). Let a(o) = 3*o. Determine a(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/14 - -3)\/((-6)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -230. Suppose 5*g + 3*d = 110 + 700, -3*g + a*d + 486 = 0. What is the greatest common divisor of 36 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537 - 536. Solve -f + 7 - b = -2*d, 5*f - 25 = 5*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*o = -21, 10*v + 2*o = 9*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123600378 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4\/7 - 31868*k**3\/7 + 62522996*k**2\/7 + 3796924028*k\/7 + 7343501064\/7 = 0 for k.\nAnswer: -57, -2, 4013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (sqrt(1900) - (sqrt(1900) + -1*sqrt(1900))*-5 - sqrt(1900)) + 1 - ((2*sqrt(1900) + sqrt(1900) - sqrt(1900)) + -1 + -4*-2*sqrt(1900)))**2.\nAnswer: -200*sqrt(19) + 189999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39256*l - 5 - 11302*l + 4.\nAnswer: -50558*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 222, 474, 726, 978, 1230?\n\"Answer: 252*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (-23 + 20 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5787114 and 0.147.\nAnswer: 5787114.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -179*t**2 - 195*t**2 + 100*t**2 + (-2*t + 3*t + 2*t)*(t - 4*t + t).\nAnswer: -280*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:13 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - 20*b**2 - 153*b + 104. What is u(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127154745, -127154740, -127154735?\nAnswer: -127154730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11372 = -40*u - 10932. Solve -u*q - 9*q = 40 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/40 - o**5\/12 - 5*o**3\/6 - o**2 + 3078*o. Let p(z) = -8*z**3 - 4*z**2 - 14 - 8*z**2 + 2. What is 12*n(m) - 5*p(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*m - 4*f, -5*f = m - 2*f - 7. Suppose 0 = -5*g + 20 + m. What is the greatest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -34*i - 2. Give l(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93 + 145 + 4)*(-3 - k + 3) - 3*k - 2*k + 4*k + (0 - 2*k + 0)*(3 - 1 - 4) + 2*k - 2*k + k to the form j + l*k and give l.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135984031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 8:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.09719 * -975.\nAnswer: 2044.76025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.7 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-1\/3))\/m)\/m)\/(m**(1\/5)*m))\/((m**1*m*m)\/m)**(-23) assuming m is positive.\nAnswer: m**(652\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 273488*a**2 + 70904080*a - 4604371200.\nAnswer: 4*(a - 68112)*(a - 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 6705*n**3 - 6690*n**3 + 3*n.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c + 55 + 845 = -28*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 23974225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 + 13*z + 14. Is x(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1 - -1*(9 + 1). Let l be 4 + (4\/4 - -2). Calculate the highest common factor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2355 (b) 0.1 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -29, -10, 33, 106?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043775 to 3 decimal places.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*p**3 - 105*p**2 + 2?\nAnswer: 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69318437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16412 + -27765. Let x = i + 44170.00032. Let b = x - -7. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82\/85 + -30\/17. Let d = 0.17 - 2.37. Let m = d - -0.2. Which is the nearest to 0? (a) y (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30479 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*w**3\/3 + 103967*w**2\/3 + 104197*w\/3 - 76 = 0.\nAnswer: -1, 1\/458, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -41 + -5 - -41.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(66)\/sqrt(2))\/sqrt(3) + sqrt(11) + sqrt(539)*1 + -3) + (1*(sqrt(275) + sqrt(275)*-1*5) + 0)**2.\nAnswer: -54*sqrt(11) + 4418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((21 + -18)\/(3\/(-14)))\/((-5)\/(-135)). Which is the closest to h? (a) -1 (b) -3 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18915258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7 = 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrx. Give prob of sequence xxrx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**3 + 3 - 33*g**3 - 3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 + 649 = -2*s + 4*g, 3*s - 84 = -2*g. Calculate the remainder when 426 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 161. Determine b(-29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = -5*v - 61, 52 = 3*n - 5*v. Let b be 29\/n + (-2)\/9. Suppose 10 = y + 3*f, -b*f + 16 = 5*y - 10. Solve -5 = c + y*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**5*(q\/((q\/q**(-4\/11))\/q*q))\/q**(-1\/9) assuming q is positive.\nAnswer: q**(965\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/262393 and -71\/88132?\nAnswer: 11545292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 9. What is the closest to 0.1 in -3, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758065577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59759657 is divided by 1071?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2243*f**3 - 2*f**2 + 6382*f**3 + 2*f**2 - 8560*f**3.\nAnswer: 65*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (-12)\/18. Factor 0 + k - x + x**2 - 2.\nAnswer: (x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2\/2 + 5*s - 12. Let b be y(6). Let v be (-6)\/(-63) + (-5616)\/(-567). Are b and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(550\/90) - 180\/(-150).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 3*p**2 + 9*p**2 + (-p - 4*p + 3*p)*(-2*p - 3*p + 4*p) + p**2 + 0*p**2 + 0*p**2 - p**2 - 3*p**2 + 7*p**2 to t*p**2 + c*p + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8716817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 197*b**2*d**2 - 332*b**2*d + 2776*b + d**2 wrt b?\nAnswer: 394*d**2 - 664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 4*b - 2*b - b**3 + 7593 - 7589 + b. Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/10*-46)\/((-11)\/4939) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1176*s - 36. Let f(z) = 16465*z + 510. Determine -6*f(l) - 85*j(l).\nAnswer: 1170*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 153.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 12*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -6587, 22, 1\/4 in descending order.\nAnswer: 22, 1\/4, -2\/5, -6587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1160418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(7056) - sqrt(49))\/(sqrt(28) + sqrt(112)\/sqrt(4) + sqrt(28)) - (1*(-2 + sqrt(252)) - -3*(0 + sqrt(252)))**2.\nAnswer: -4038 + 587*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 22.957?\nAnswer: 6.8871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 - 51*a**2 - 413*a - 1508. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -24. Let l be -4*3\/(-72) - 220\/(-120). Solve 0*n - l*n + r = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*t + 44 = 0, -98*m + 4*t - 68 = -95*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312 - -1?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43502251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w + 26 + 20 - 647*w**2 + 38 - 71 wrt w?\nAnswer: -1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 325*u = 328*u - 408780, -p = -u - 136262. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 19 (c) -0.02318 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 746 = -7*b. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 890*n - 25054 - 25061 + 50115. Let p(k) = -2*k**2. Calculate q(p(l)).\nAnswer: -1780*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(3\/24). Suppose -d + l = d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618086858 to the nearest integer?\nAnswer: 24861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*q - 77*q + 1680. Suppose 6*d + q = 20*d. Calculate the remainder when d is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + -3 - sqrt(13) - (5*sqrt(65)\/sqrt(5) - sqrt(13)) - -5*(-6*(1 + sqrt(13)) + -3*1*sqrt(13)))**2.\nAnswer: 3234*sqrt(13) + 32302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 4 - 4) + -104 + 120.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4255791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -512.91 bigger than -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - 4)*(20*p**2 + 9*p - 9*p) in the form r*p + y + l*p**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 4*h + 13. Let y be u(-6). Suppose -4*s + 1705 = -w - 2394, s - 3*w = 1022. What is the greatest common divisor of y and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.8 take away -1?\nAnswer: -69.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68d8518 - -5?\nAnswer: -68d8513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 29 - 4 + 6 + 1)*(-41*k + 15*k - 21*k)*(1 + 0 - 3) as w*k + d and give w.\nAnswer: 4324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 2 + 0 + 4. Let m(w) = -1 + 4*w + 4*w - w**3 + 3*w**2 - j*w. Determine m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5359 - -5356)*(-8)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7170519.6 microseconds?\nAnswer: 0.000082992125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -8*j + 43\/6*j**3 + 0 + 0*j**2. Let y(f) = -f**2. Determine r(y(q)).\nAnswer: -43*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1574 + 0.0126. Let s = -2938182.829897 - -2938185. Let o = z - s. What is o rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 179261*t + 2. Let r(n) = 2*n. Give r(d(f)).\nAnswer: 358522*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + s - 7 - 9, -5*i - s = -26. Let o(h) = i*h - 4*h - 4*h. Let v(d) = 3*d**2. Calculate v(o(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32896, 64097, 95298, 126499, 157700?\n\"Answer: 31201*x + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/37453301 or 1?\nAnswer: 14\/37453301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009184204 rounded to seven decimal places?\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 190.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 2, u: 1, h: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u**2 + 4*u**2 + 0 + 0 + 2*u**2 + (-4*u + 2*u + 0*u)*(3 - 3 - 2*u) + u**2 + u**2 - 3*u - 6*u**2 - 8*u**2 - 12*u**2 + 5*u**2.\nAnswer: -10*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 14*r - 11. Let j be g(15). Suppose 0 = 2*f - 4*w + w - 12, 0 = -j*w. Is 0\/f - (-74 + -1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, 0.16, -2, 2\/15, -2\/13, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.1 + -22. Let y = -1.1 - q. Let r = y - 1.55. Round r to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let r(m) = 5234*m - 4876. Let w(g) = 6*n(g) - r(g). What is the first derivative of w(j) wrt j?\nAnswer: -5234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(1 - 1 - n) - 15*n - 6*n + 2*n + 2*n - 6*n + 2*n as p + y*n and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385.4 - 385. Which is the nearest to -0.2? (a) 1 (b) 3\/4 (c) m (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9 + (-2475)\/(-132) + (-17061)\/188?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 218, 73907, -5, 0.5.\nAnswer: -5, 0.4, 0.5, 218, 73907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03604752 to 4 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/36)*n**13)**(-7\/4) assuming n is positive.\nAnswer: n**(-3269\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 25*x**2 + 48*x - 46. Give m(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 4*f**3 + 2*f**3 + (-f + f + 11*f**2)*(-4*f - 2*f + 5*f) + 2*f**3 + 3*f**3 - 4*f**3 to the form c*f + q + p*f**3 + u*f**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4*m - 4. Let h be y(6). Solve 3*n = 7*n - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 360. Is b\/15 + 2\/(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 10. Give n(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*p + 22, -18 + 11 = -p - 4*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 + 9*r**3 + 5*r**3 - 3*r**3)*(-147*r - 257*r - 12*r) to the form y*r**3 + s*r**4 + z + n*r**2 + a*r and give s.\nAnswer: -2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165484, 165539, 165594, 165649?\nAnswer: 165704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6327 - 6331. Sort -41, 4, n, 3.\nAnswer: -41, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knndqdddddqddddd. Give prob of picking 2 d.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (18\/12)\/(2\/(16\/6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose 39 = 5*x - 2*j, 0*x = 4*x + 5*j - 51. What is the highest common divisor of p and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 + (-3 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.9. Which is the closest to -0.1? (a) f (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78097856 is divided by 156823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 + 86*y + 928. Let g(c) = -29*c**2 - 180*c - 1856. Let j(d) = -2*g(d) - 5*q(d). What is the first derivative of j(a) wrt a?\nAnswer: -24*a - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3269*i - 36 = -3263*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**3 + 3*t - 7. Let p be 6\/45 - 12\/90. Suppose z - 3*z + 6 = p. Let i(a) = 8*a**3 - 4*a + 8. Let r(s) = z*i(s) + 4*q(s). Differentiate r(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/17 and 44\/21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f - 232*f + 87*f.\nAnswer: -189*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -7*n**3\/6 + 9*n**2\/2 - 2437*n + 2. What is v(10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -130. What is the lowest common multiple of 28 and (t\/2)\/((-1)\/8*-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6461*w. Let t(m) = 50*m + 1. What is t(z(h))?\nAnswer: -323050*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = s, -5*b + 5*s + 23 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120)\/100*((-3)\/2 + -1). Solve -s - 4*w = -10, -7 = -s - t*w - 0*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - 6*p + 2. Let v(h) = -h**3 + 7*h - 1. Let u(f) = -4*i(f) - 3*v(f). Let q = 49 - 25. Suppose 4*r = -8 + q. Give u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3*p - f**3 + 203*f**2*p - 33 wrt p?\nAnswer: 2*f**3 + 203*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5677595 divided by -11\nAnswer: -516145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 - (-7 - -5). Let h be 1 + (5 - (-1)\/((-2)\/(-4))). Let g(y) = 1 - 2*y + h*y**2 + 15*y**2 - 16*y**2. Calculate g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12862, -25819, -38992, -52489, -66418, -80887, -96004, -111877?\n\"Answer: -18*s**3 - 12831*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/11 - 2\/11*k**4 - 36\/11*k**2 - 14\/11*k**3 - 40\/11*k.\nAnswer: -2*(k + 1)*(k + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.86 - -18.3. Let b = -49.46 - -49. Let x = b - q. What is x rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 1, z: 6, h: 4}. What is prob of picking 2 q and 1 f?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let n(t) = -750*t + 12. What is -n(b) + 7*r(b)?\nAnswer: 743*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:52 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 5*f**2 + 43*f - 8. Calculate l(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 4:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 30301?\nAnswer: -30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*h - 38139, 84*h = -4*d + 89*h + 30462. List the prime factors of d.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from stttsvtpvtsstv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -183, -186, -189?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60052, 60073, 60108, 60157, 60220, 60297, 60388?\nAnswer: 60493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1827\/9744)\/(((-14)\/32)\/7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116437 = -1384*u - 85989 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/4 - (-1)\/(-2). Suppose -2*t - 5*p - 669 = 0, 5*p + 1503 - 170 = -4*t. Let x = -179 - t. What is the greatest common factor of x and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 226, 211, 196, 181, 166?\n\"Answer: -15*n + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222011101111 (base 3) in base 11?\nAnswer: -1210808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t. Suppose 40*f + 32 = 48*f. Give u(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/6*-6*(27\/(-6) - -5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10 - w**3 - 2*w + 8*w**2 - 3*w + 0*w**3. Calculate l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/13 + 11334*g**3\/13 - 16040430*g**2\/13 - 48223350*g\/13 = 0 for g.\nAnswer: -3, 0, 2835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnnwwwwwwnwwww. Give prob of picking 2 w and 2 n.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37539439.4 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 2:53 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*8\/(-44) + (-282)\/(-22). Suppose -j*x + 413874 = 5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 8*v. Suppose u = -v*u + 100. Suppose 0 = -53*z - 80*z + 57*z + 380. Calculate the highest common divisor of z and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n + 111*n + 310 = -36*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 772167 and 37063985\/48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110000 (base 2) in base 8?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34707292, -34707284, -34707276, -34707268, -34707260, -34707252?\nAnswer: -34707244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 341243?\nAnswer: 341234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 3*q**2)*(-95 + 53 - 242).\nAnswer: -568*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k - 4. Let r be 1*(3 - -2)\/(-1). Let x be j(r). Let y = -11 + x. Are 0 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s - 15. Let r be z(-10). Let j = -374 + r. Let n = 192 + j. What are the prime factors of n?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 80606477\nAnswer: 3\/80606477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.061263902.\nAnswer: 0.030631951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*r = 559*r - 2660 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0.016409\nAnswer: -0.983591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.3 (c) -8 (d) 7344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 4. Let m be n(4). Suppose 8*f - m = 4*f. Suppose f*z - 4 = 21. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/924)\/((-8)\/22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2259 and 2008.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from pppzpzpzzpzppp.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose -3*m = -a*m - 12. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/11074880 and 127\/1590.\nAnswer: 33224640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16654?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 2*n, -5*i = 4*n - 15 - 1. Suppose i = -5*g - 38 + 113. What is the greatest common factor of g and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -10644420?\nAnswer: 10644375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -477, -714, -951, -1188, -1425?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 72. Let w = -41 + u. Let p = -0.06 - -3.06. What is the biggest value in w, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4325 in increasing order.\nAnswer: -3, 2, 4325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = w - 4*n, 3563*w + n + 80 = 3553*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1098 and 13947894.\nAnswer: 13947894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccaacaacraa. Give prob of picking 3 a and 1 c.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4571 divide 309171363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 691760623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by -42484\nAnswer: -15\/2236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 41\/5, -9977?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-3)\/sqrt(12))\/(-2*sqrt(108)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16994 divided by -3.\nAnswer: -16994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -4 (c) -1.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(22 - -8) + 4\/(-160)*-142. Is 0 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000609384276 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2704\/77 - -814049\/23100. What is the common denominator of a and 167\/420?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 34*n - 3*t, 0 = 2*n + 3144*t - 3143*t + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 + 7*p. Let t(s) = 6*s**2 - 6*s. Suppose -22*g = -16*g + 30. Give g*t(a) - 4*n(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shtsb. Give prob of sequence bss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1355 and 0.173543666918?\nAnswer: 1355.173543666918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 612118 at least as big as 612121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 18. Let i = 13.11 - x. Let t = 1.11 - i. What is the third smallest value in t, 2\/5, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptbvpbptppvpbwv. What is prob of picking 1 p and 2 v?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {i: 6, r: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234806 is divided by 270?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = -4*i. Suppose i*r - 9 = -0. Suppose 0 = -3*a + 9, r*v - 6*v - 23997 = a. Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -2*l. Let z(m) = 3*m**2 - 3*m - 4. Let r be z(l). Is 1\/7 + 48432\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = -s + 3, 5*u = 3*s + 30. Solve u = h - 0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 - 9805*a - 4786740 = 0.\nAnswer: -1044, -917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 32*u**2 - 153*u - 36. Give a(26).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 18983072346 - 18983072346 - i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/11 (b) -5 (c) -29 (d) 1\/2 (e) 1\/8 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -0.6, -2, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2013211102 (base 4) to base 15.\nAnswer: -ae831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/3 + 3*a**2\/2 + 2*a. Let b(c) = -c - 2. Let s(y) = 3*b(y) + 2*p(y). Let j(d) = -3*d**2. Determine s(j(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1889 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1901855, 3803730, 5705605, 7607480?\nAnswer: 9509355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -349, -514, -597, -592, -493, -294?\n\"Answer: o**3 + 35*o**2 - 277*o - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/41)*a\/((a\/(a\/a**17))\/a)*(a*a\/(a*a\/(a\/(a**23*a)))*a)\/(a**(3\/10)\/a))**7 assuming a is positive.\nAnswer: a**(-101171\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 483*d**2 - 480*d.\nAnswer: -3*d*(d - 160)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1 (c) -0.1 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 4*i**2 + 4*i - 11. Determine m(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = -6. Suppose 3*g = -t + 7*g - u, -5*t + 17 = -4*g. Suppose 0 = t*i - 3*n - 221, 6*i - 4*n = 3*i + 126. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9628*s**2 - 1607*s**2 - 1604*s**2 - 1603*s**2 - 1633*s**2 - 1607*s**2 - 1570*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovqmmwoqoommoqo. What is prob of sequence mvw?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 26*v - 23*v - 14727 = 0, -8 = -2*v. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 93*y**2 - 51*y + 238. What is the hundreds digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 22*m**2 + 18*m - 2. Let a be d(21). Let h = -31 - a. What is the greatest common divisor of 374 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f + 2*f + f)*(3*f**2 - 5*f**2 + 3*f**2) + 2*f**3 - 4*f**3 + 0*f**3 - 2*f**2 + f**3 + 2*f**2 + 0 - f**3 + 0)*(-6*f - 1 - 1 + 8*f).\nAnswer: -8*f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4887 + 4096 - 8310 + 2*r)*(-3 + 2*r**2 + 3).\nAnswer: 4*r**3 + 1346*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3911068774 to the nearest integer?\nAnswer: 62539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1090, 1092, 1094, 1096, 1098?\n\"Answer: 2*p + 1088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Let i = 19 - 34. Suppose -31*x = 121 + 34. Let r(s) = -6*s**2. Let c(m) = i*p(m) + x*r(m). Let f(n) = -n. What is f(c(h))?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = h + 3*t - 13, -3 = t. Suppose 0*j + h = 5*j. Is 15\/j*1*4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 + 0*n + 0*n)*(-83 - 343 + 97) + (n + n**2 - n)*(-1 + n + 1) - 5*n**3 + 2*n**3 + n**3 - n**3 + 3*n**3 - 4*n**3.\nAnswer: -1648*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 96*n**2 - 522*n + 16820.\nAnswer: -2*(n - 10)*(n + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1242)\/(-552)*(-8)\/(-2) + 3. Solve 4*z = -c, 2*g - 13 = 5*z + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.119 * -76.07\nAnswer: -9.05233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 6 + 5)*(-3*t - 4*t + 3*t) - 7 - t + 7)*(t - t + 2*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*v + 13*v. Suppose 568 = -v*c - 568. What is c rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -49. Suppose 2*a = i*a - 1. Is -3 + 64\/(a + 3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15*(-65)\/(-13))\/(5\/(-81))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114.94 - -115. Let h = 1.06 - 0.06. What is the nearest to h in d, -0.7, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:48 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 160?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44778869 to the nearest integer?\nAnswer: 6692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 447925872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from pataaattpataaa.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-30)\/55 + 112894\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121135 - 623?\nAnswer: -122061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*72\/(-128)*-4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -5)*(1 + -2). Let v = 11 + b. Suppose -4*z + 4 = g + 3*g, 3*z + v*g - 2 = 0. Calculate the highest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 7. Let t be l(0). Let o be -1*(-2)\/15 - (-74)\/(-555). Suppose 5*m = 18 + 7. Solve 0*b - 4*b = -a - t, -2*a + 5*b - m = o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 12*d - 4. Let m be 9 - 8 - (-2 - 2). Let q be z(m). Let l(h) be the first derivative of -h**4\/4 + 2*h**3 + h**2 - 4*h - 6. Calculate l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 225749967 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7015133 (base 8) to base 15\nAnswer: -265a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*d - 514*d**2 + 3 - 6 + 1397*d**2 wrt d?\nAnswer: 1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19760, 58257, 134232, 266423, 473568, 774405, 1187672, 1732107?\n\"Answer: 3123*b**3 + b**2 + 16633*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/8 (c) -1\/2 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31102103 (base 4) to base 6\nAnswer: 1055535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457236*i - 20*i**3 + 457236*i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 + -204. Suppose b - 3 + 0 = 0, 0 = 4*a - 4*b - 4. Suppose -a*r + 9 + 1 = -u, 3*r - 12 = 0. What is the greatest common factor of y and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1876)\/7035 - (288\/(-20))\/(-6)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrrrrrg. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 + 3*n + 11. Let f be o(0). Let l(m) = 8*m. Let a(t) = -4*t. Calculate f*a(j) + 6*l(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3 - 10*u - 3*u - 2. Let t = -4149 - -4139. What are the prime factors of c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1107*3*(3 + -1)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 552 - 377. Suppose -j = -x + 142. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7398.6 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*b - 1, -2*r - 4*b = 3*r - 6. Let g(o) = -6*o - 1. Let c be g(-1). Suppose l - 47 = 4*k, 0 = c*l - 0*l - r*k - 199. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(5\/20). What is the second derivative of 107*v**q + 117*v**2 - v**5 + 43*v - 252*v**2 + 2*v**5 wrt v?\nAnswer: 20*v**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.70549 seconds in hours?\nAnswer: 0.140751525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - 6 - (2 + -21). Let p be (a - 0) + -1 + 1. Solve 5*v - p = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -15, 1\/2, -0.063?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60725, -121450, -182175, -242900, -303625?\n\"Answer: -60725*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -u - 1092098, 4*u - 3*d + 4368395 = 0. Let s = -282101 - u. What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Let n be 4\/h*(-1 + 7). Let r(m) be the second derivative of -m**5\/20 + m**4\/4 + m**3\/6 + 3*m**2\/2 - m. What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l*l*l)**30)**(-16\/7) assuming l is positive.\nAnswer: l**(-1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -390354*g**3 - 638533*g wrt g?\nAnswer: -2342124*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/2 + 36535*f**2\/2 - 475293*f = 0.\nAnswer: -36561, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from ddmmeecdcccddmm.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 y when four letters picked without replacement from ryarrrafycrcryyc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -3479.\nAnswer: -15\/3479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/7 (c) 3080.985 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 22 = 2*o. 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: Solve a = 5*i - 104, -578 = 5*i + 152*a - 70 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*p = -84, 2*k - 3*k + p = -35. Let m = 11 - 7. Suppose m*d - 5*d + k = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**2 + 4*x**2 + 4*x**2 + (7*x + 5*x - x)*(-2*x + 4*x - x) + 4*x**2 + x**2 - 4*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-5*sqrt(429)\/sqrt(11))\/(sqrt(21)\/(-3*sqrt(7))*-1)*-3*-2)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12779 + -18969. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37856517*n + 75715934*n - 37857978*n.\nAnswer: 1439*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 7) to base 14.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 460 - 459.88. Let t = 529\/3 + -176. Put o, 1, t in increasing order.\nAnswer: o, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7261 is divided by 169.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**5 - 1\/120*m**6 - m**2 + 0 + 0*m - 1\/4*m**4 + 0*m**3. Find the second derivative of s(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23134 and 444926?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -87?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -506*v + 511*v. Suppose 2*c - 64 = 2*k, -24 + 93 = 2*c - 3*k. Calculate the remainder when v is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**5\/10 + y**4\/4 + y**3\/6 + y**2\/2 + 4*y. Let m be h(-2). Is m <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 7*a**5\/10 - a**4\/6 - 8*a. What is the third derivative of s(n) wrt n?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.2, 0.17, 18, 0.4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19776 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-1) + -6 + 2. Suppose 6*j - 12*j + 72 = a. Suppose -4*y + j + 8 = 0. Let k(h) = -h + 1. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-28*d - 35*d - 68 + 61*d).\nAnswer: -4*d - 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5*36\/30)\/(14\/392*-63)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*b + 19, -2*i + 21*b = 26*b - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*k - 11242 = -29482 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -124433 (base 6) to base 16\nAnswer: -2c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 - k**5\/60 + k**4\/24 + 2*k**3 + 3*k**2. Is 12 a factor of n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124054 (base 6) in base 8?\nAnswer: -161102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5455 - -5463. Let v(z) = -2*z**3 + 16*z**2 + 2*z - 7. Determine v(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 550, 509, 452, 379?\n\"Answer: -8*t**2 - 17*t + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - f**4 - f**5 + (-f + 5 - 5)*(0*f**4 + 2*f**4 - 4*f**4).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 - 14*i**2 + 17*i + 6. Let u(p) = -p**3 - 5*p**2 + 6*p + 2. Let n(t) = -4*f(t) + 11*u(t). What is n(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 + 3*h + 1. Let l be o(-2). Suppose 9*p = 10*p - 14. What is the smallest common multiple of p and 23 - (l\/1 - -2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimmmmmqymjqmj. What is prob of sequence qym?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.991198 - 20938?\nAnswer: -21065.991198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 8*y + 2. What is the remainder when g(-14) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = n - 661, 0 = -5*n + h + 4 + 3285. What are the prime factors of n?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5827 - 1755. Is u a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8250723 centuries?\nAnswer: 0.08250723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/12 + (-57)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (0 - (1 + 3))*3*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13657, -54564, -122743, -218194, -340917, -490912?\nAnswer: -668179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, -3\/2 in decreasing order.\nAnswer: 51, 1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**3 + 0 + 0 + 85*w**3 - 241*w**3.\nAnswer: -210*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 + -1.59. Let x = -1.6 - d. Which is the second smallest value? (a) -0.2 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*v + 183*v + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/15 - 2\/15*m**2 - 6\/5*m.\nAnswer: -2*(m + 1)*(m + 8)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 16. Suppose 11*s - 63 = 14. Sort s, y, 1, -5 in decreasing order.\nAnswer: s, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3216 and 21\/2?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316876?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 292099493 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u**3 + 24*u**3 - 11*u**3)*(2 - 2 - 2*u) + 0*u**2 - 2*u**4 + 0*u**2 to c*u**2 + t*u**4 + o*u + h + g*u**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 607.\nAnswer: 607.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -13. Let d = -10 - l. What is the second smallest value in -0.4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15140 + -5?\nAnswer: 15131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -155, -3, 4, -106 in decreasing order.\nAnswer: 7, 4, -3, -5, -106, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(6\/30) + 3. Which is bigger: d or -2\/57?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*k + 11 - 18 + 7 + 4)*(3 - 1 + 0 + (-1 - 4 + 3)*(-4 + 0 + 2) - 1 - 1 + 1 + 1 + 3 - 2 + 0 - 2 - 2 + 1 + 0 + 1) to the form y + m*k and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 4. Let c(k) = 8*k + 4. Let q(x) = -4*c(x) + 5*l(x). Let o be q(4). Let m = o + -53. Solve 0 = -a + n + 6, -3*n + 11 = m*a - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2394 - 2391. What is the nearest to 2\/3 in 0.3, 64, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/(-15)*((748\/51)\/(-22))\/((-4)\/18)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 10*z**2 + 7*z - 13. Let p be o(-9). Let l be p\/1 + -1 + 24996. Suppose -19*y - l = -14*y. Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.6 and 450.32.\nAnswer: 444.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511\/19 - 27. Let f be ((-2)\/4 + 0)*0. Is a > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 14*k + 12. Let v be l(-6). Suppose 0 = 4*o - 3*z - 214 - 21, 3*o + 4*z - 145 = v. 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: What is -6.193 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Let v be 18\/4*(-2)\/(-3). Let h(q) = -q**2 + 2*q + 1. Let g be h(v). Put -1\/2, j, g in increasing order.\nAnswer: g, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 10*p = -7*p + 45, 0 = -24*v - 3*p - 99 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 3, z: 2, f: 2, w: 4}. Give prob of sequence wty.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r + 5. Let s(m) = m - 1. Let t(f) = 5*s(f) + z(f). Let d be t(-3). Suppose -v = -d*v + 70. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-9))\/(22\/(-1188)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 - 5*r + 2*r + 2*r. Let m(v) = -v + 2. Let p(q) = -1. Suppose 3*x - 12 = x. Let t(d) = x*p(d) + 5*m(d). Calculate -2*t(g) + 9*z(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**3\/6 + 8*v**2 - v. Let q(t) = t**3 - t**2 + 3*t - 4. Let l be q(0). Does 6 divide d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47\/172 + 1\/43. What is the common denominator of -19\/4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 + 3235*g + 5092*g - 2 to b*g + i and give b.\nAnswer: 8327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 - 117*h + 471\/2.\nAnswer: -3*(h - 2)*(h + 314)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**6\/360 - w**4\/8 - 13*w**3\/3 - 243*w**2. Let d(u) be the second derivative of v(u). Let b(s) = 7*s**2 + 6*s. Give b(d(q)).\nAnswer: 28*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 133, 90, 27, -56, -159?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 7.551?\nAnswer: 0.7551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 211 = -101*h + 96*h, -3*h = 3*j - 75 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = 0, 5*g - 21 = -f. What is the highest common factor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let o(b) = -2*b - 3. Let r be o(-5). Factor -5*x + 26*x**3 + 4 - r*x**4 + 3*x - i*x**4 - 18*x**2.\nAnswer: -2*(x - 1)**3*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, 1, 78, 255, 568?\n\"Answer: 6*v**3 - 4*v**2 - 17*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2588*b + 1 + 5626*b + 33958*b.\nAnswer: 42172*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 57. Differentiate -u*w + 70*w + 17 + 20 - w**3 with respect to w.\nAnswer: -3*w**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-2)\/(2 - (-903)\/(-448))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*4\/(-5 + 3). Let w = 11 + q. Let p = 0 - -1. Solve 0 = -5*h + y + 15, p - 24 = -4*h + w*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/s*s*s**(-3\/4))**(-2\/133) assuming s is positive.\nAnswer: s**(1\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62501917 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d*k**2*m + 456454*d*k + 14514*d*m**3 - d*m + 6*k**2*m**2 - 21*k*m**2 wrt m?\nAnswer: 87084*d*m + 12*k**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 1. Let c be j(1). Suppose c*d + 2*k - 46 = 126, 232 = 4*d + 2*k. Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(76)*-2)**2.\nAnswer: 8*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1727201, 1727203, 1727205?\n\"Answer: 2*b + 1727199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.65096+0.387\nAnswer: -0.26396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 - 14*r + 24. Let k be z(5). Let v(q) = -6*q**3 + 2*q**2 + 4*q - 5. Let w(u) = 17*u**3 - 6*u**2 - 11*u + 14. Give k*w(c) + 11*v(c).\nAnswer: 2*c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3762178 or -3762179?\nAnswer: -3762179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 421*v + 22594. Determine o(63).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1741257 and -1.\nAnswer: 1741257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -357 * 1.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.18\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.9 in -2, 0.1, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -208*k**2 - 2*k - 2. Let c(o) = -209*o**2 - 2*o - 2. Suppose 0 = -3*r + 3 + 3. Let x(u) = r*s(u) - 3*c(u). Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3762783789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 608a (base 12) to base 14\nAnswer: 3b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 8)*36\/(-90). List the prime factors of (-12345)\/(-105) - b\/7.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 - (1 + -1). Suppose 5*n = -4*g + 120, -2*n - g + 15 = -6*g. Let m = -58\/3 + n. Is l bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3.91, 0.2 in increasing order.\nAnswer: 0.2, 0.4, 3.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-57)\/(-950))\/(4\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -17, -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 1805 - 2617 = 0. What are the prime factors of g?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11725 + 11724.8. Which is the nearest to -1? (a) 0.06 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3 + 36\/8). Let q be (-1)\/(2\/(x - 0)). Let n be (-36)\/(-15)*q*10. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - -90. Let w = a - 1643\/7. Factor 2\/7*h**3 - 2\/7*h**2 - 2\/7*h + w.\nAnswer: 2*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-8 - ((4 - (19 + 4)) + 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 317829*h\/2 + 14632830.\nAnswer: -3*(h - 92)*(h + 106035)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + c = -17, 11*a - 39 = 8*a + 10*c - 34 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:43 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**2 - 10*n + 9. Let v be o(-7). Suppose 27*k = v*k - 30. Solve f - 2 = 3*d + k, 3*f = -2*d - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o**3 + 15*o**2 - 3. Let f(m) = -29*m**3 + 31*m**2 - 7. Let h(r) = -6*f(r) + 15*z(r). Determine c, given that h(c) = 0.\nAnswer: -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 + 15*j. Let h(v) = 10*v**2 + 15*v. Let y(q) = -4*h(q) + 5*k(q). Find the second derivative of y(w) wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -46 + (3 - 5) + 0. Let z = -16 - r. What are 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 product of 26 and 0.34757?\nAnswer: 9.03682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffmflfmlffoffoomf. What is prob of picking 3 f?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 15*o - 3*o)*(-2 - 2*o + 2 + (4 - 1 - 1)*(4*o + 0*o - 2*o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13117562 at least as big as -13117562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 214461823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*v - 17, -v + 63 = 2*v + 3*y. Let u = -9 + v. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 11:52 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210564 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 3, c: 1, k: 4}. What is prob of picking 2 a?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -31 - 26. Suppose b - 5 = 0, k - 47 = -i - 4*b. Suppose -3*w + 5 = 2*w. Calculate the highest common divisor of w and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 30, 50, 76, 108, 146, 190?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + 0.2. Let n = -0.13 - o. Which is the second smallest value? (a) 0.5 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836*t**3 + 749*t**3 + 4296*t**3 + 2319*t**3.\nAnswer: 9200*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2972*u - 29735. What is k(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000819288704 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a factor of 4260354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14796 and 333047?\nAnswer: 35969076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y - 4. Let k(m) = -2*m**3 - m**2 + 10*m - 8. Let w(l) = 2*k(l) - 5*t(l). List the prime factors of w(7).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -689*u + 3953. Calculate k(6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*b + 64 = 0, 2*a - 3*b - 1878 = 5*a - 1956 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4\/3*d**2 - 18*d - 1\/6*d**4 - 80\/3 + 3\/2*d**3 = 0.\nAnswer: -2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2098*d**6 - 267*d**5*z**2 + 3*d**2*z**2 - 6*d**2*z + 40*d**2 - 152*d*z**2 + 2*d wrt d.\nAnswer: 251760*d**3 - 16020*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -25. Suppose o = 4*w - z*w + 13, 0 = -4*o + 20. Let r(t) = -t - 1. Let h be r(w). Solve 0 = h*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304502 divided by -152251?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 4) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 245 in descending order.\nAnswer: 245, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19965)\/(-1452))\/((-130)\/624)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 81*s - 567. What is h(-26)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.000581ml?\nAnswer: 0.005000581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -19*f + 7, -281*a + 276*a = 4*f + 56 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -12 - -9 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3700083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.48823 * 13.1.\nAnswer: 6.395813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*u - 182*u - 2160 = 0. What is the remainder when 976 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b1 (base 16) in base 2?\nAnswer: 11000110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -82*m - 896. Calculate q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.727 - -0.273. Which is the second biggest value? (a) y (b) 11 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.5, 162, -210, -1\/37, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*2 - sqrt(110)))*-2 - (5*1*sqrt(110) + sqrt(110)))*-1)\/((2*sqrt(90))\/sqrt(9)*6*-1).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + 2 + sqrt(117) - (4 + sqrt(143)\/(sqrt(22)\/sqrt(2)) + -4*(sqrt(13) + sqrt(52)\/sqrt(4)))) + 4.\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3521\/35 + 9\/(-15). Find the common denominator of 16\/3 and 1 + 0 - g\/(-70).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let y(a) = 1. Let j(f) = -f - 1. Let c be j(-4). Let w be (-2)\/(-1)*(-2 + c). Suppose -2*z - 4 = -w. What is z*u(t) + y(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -154009188065 and 42.88.\nAnswer: -154009188022.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 297328 + 22 - -13 - -16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 475599323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 436266569 to the power of 1\/2, to the nearest integer?\nAnswer: 20887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4372 * 1898.\nAnswer: 8298056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(1\/4))**(1\/67) assuming k is positive.\nAnswer: k**(1\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -40, 26, 479, -36 in decreasing order.\nAnswer: 479, 26, 5, -5, -36, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 5*o + 1143 = 0, -4*o = 16. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2991 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -7\/5392 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Suppose b*n = 228 - 88. Let t(r) = -r**3 - 2*r**2 + 2*r + 4. Let a be t(-3). What is the greatest common factor of a and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + (sqrt(1900) + -4)*2)**2 - (sqrt(513)*2)\/(sqrt(3)*-1*-6)).\nAnswer: -30544 + 964*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 - 3*h + 6. Let c be l(3). Suppose 48*y = 45*y + c. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-12)\/8 + (-6)\/(-12)). Suppose 5*u + 5 = -o*f - 1, 0 = 2*u - 4*f - 20. Solve u*t - 5*n = 5*t - 2, 0 = t + 2*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411634810 by -19.\nAnswer: 21664990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(44)\/sqrt(4)))\/(sqrt(8) - -6*sqrt(128) - sqrt(8)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*g**3*t + 230*g**3 + 1380848*g**2*t wrt g?\nAnswer: 1194*t + 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z + (-2 + 2 + 2)*(3*z + 5*z - 4*z) + (-z - 1 + 1)*(1 + 0 + 0))*(-224 + 36 + 13).\nAnswer: -875*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 5*z**8\/336 - 3*z**7\/14 + z**6\/12 + 4*z**5 - 253*z**2. Determine k so that r(k) = 0.\nAnswer: -2, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -64*g - 64*g + 155*g - 28*g + 2. What is n(16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -4*c**3\/3 - 7*c + 17. What is the first derivative of t(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 2*g - 8. Let v(p) = 24*p**2 + 27*p - 108. Let d(a) = -27*t(a) + 2*v(a). Let k(c) = -1 + 5*c + 1. Give k(d(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -44042?\nAnswer: 44112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -104. Suppose -2*g = 2*j - 1370, 0 = -5*g + j + 1381 + 2062. Calculate the highest common divisor of g and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 45, 64?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84355.\nAnswer: 5, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 1:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 75 = 34*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7730 - -13503. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 23236036?\nAnswer: 23236036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*2)\/(sqrt(36)\/sqrt(108)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-1 + sqrt(2352) + 3)*-1)**2 + 0)*1*-5.\nAnswer: -11781 - 560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 4. Does 4 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2 - (-2)\/(-1). Let y be (-5)\/((-10)\/u) + -2. Let a(l) = l**3 - l**2 - l - 7. What is a(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -894840 (base 12) to base 10\nAnswer: -2185392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12062562 (base 8) to base 16.\nAnswer: 286572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16850707 is divided by 5616902.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64507, -259473, -584417, -1039339, -1624239, -2339117, -3183973?\nAnswer: -4158807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6*x - 46 = x, 2*x = 2*v - 104. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 4*w - 2*w**3 + 6*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 7 + 3. Suppose -3*z = -8*z - 20. Let l = z - -11. Solve -k*d + l = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + d - 2)*(-24 + 45*d - 89*d + 43*d) as j*d + s*d**2 + u and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22985, -45965, -68945, -91925?\nAnswer: -114905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 191.04146?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -12*f + 3\/2*f**4 - 3\/5*f**5 + 53 - 6*f**2 + 3*f**3. Determine u, given that g(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11*z**4\/4 + 13127*z**3 + 28655*z**2\/4 - 13127*z - 7161 = 0?\nAnswer: -1, -6\/11, 1, 4774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*m + 22, -6 + 2 = m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 2. Suppose 0 = -4*b + 5*i - 12, -5*b - 3*i = j*i - 30. What is the common denominator of 97\/34 and 259\/112 + 2\/b?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 + 171820154*v**4 + v**3 - v**2 - 15*v - 51210 wrt v?\nAnswer: 60*v**2 + 4123683696*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2388 + -1463. Let u = -601 + j. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 746 - -320. Let g = -426 + t. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -186*f**2 + 1030*f - 1030*f + 0*f**2 + 2*f**2 - 6*f**2 + (-6*f + 4*f + f)*(3*f + 3*f - 5*f).\nAnswer: -191*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/35675, -1, 1, -2, 10\/3 in ascending order.\nAnswer: -2, -1, 16\/35675, 1, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-55)\/((-10780)\/126))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4060?\nAnswer: 1\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0 = 2*d - 3, 2*n - 18 = -4*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5*3\/(-30)*0)\/(5 - (5 + 1)). Let d(u) be the third derivative of u**4\/24 - 3*u**3\/2 + u**2. Calculate d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51.045 - 51. Let p = s + -0.545. Which is the third biggest value? (a) 0.2 (b) -2\/15 (c) p (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -3086482409.\nAnswer: -3086482410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 3*g - 2. Suppose -k - k + 8 = 0. Let y be c(k). Suppose -3*t + 2*t = -y. What is the highest common divisor of 16 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -105?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59 + b**2 + 14*b**3 - 28 - 31 wrt b.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(102)\/(sqrt(6) + sqrt(6) + sqrt(24)) + (sqrt(51)\/sqrt(3) + -1)**2)*6.\nAnswer: -21*sqrt(17)\/2 + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-3)*1\/4. Suppose 5*t + 5*f - 155 = 0, g*t - 4 - 155 = 3*f. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 - 417 = 0. Suppose n = 5*w + 218, t = n + 5*w - 144. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 5*v**2 - 2*v - 1. Let b be s(-5). Let z = 15 + b. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 0*f**3 - 6*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322134 (base 5) to base 16.\nAnswer: 67b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64356, -65831, -67306, -68781, -70256?\n\"Answer: -1475*w - 62881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02922988 rounded to 5 decimal places?\nAnswer: 0.02923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 + -249. Let f = 432 + k. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8205.965 + 8215.9650075. Let r = d + -10. What is r rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -33, -153, -395, -801, -1413?\nAnswer: -2273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = q. Let j = -116 - -67.2. Let m = 49 + j. Put q, m, 3 in decreasing order.\nAnswer: q, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.091.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-8)\/(48\/(-18))*-7).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 984639594*l + 784003424?\nAnswer: 984639594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:46 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3878.55 - -1953?\nAnswer: -1925.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(-3*f + 3*f - f**3).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4325*p - 2*c + 2440 = -4209*p, 0 = 5*p - c - 103 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -22 (c) 2\/15 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1389*k**2 - 4. Suppose 10 = 4*b + b. Let t be ((-1)\/b)\/(1\/(-12)). Let i be c(t). What is i rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c + 219. Let m be z(32). What is the smallest value in m, 4, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8 + (-9 - -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 - 13*x - 63. Determine h(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z - 7*z + 0 - 1. Let x be u(-1). Suppose 2*d = x - 5. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 3559673700*m - 3559673700*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271811.\nAnswer: 271811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 15*h - 40 = 0. Solve 12 = -5*u - 4*l - 3, h*l + 12 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 51*w**2 - 6*w - 3. Let z be r(-1). Calculate the highest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfuf when four letters picked without replacement from ffffuffffvuffufu?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:49 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/6*(-18)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830452?\nAnswer: 2, 3, 235871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2506 divide 17328990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 + 166695*u**2 + 3000024*u.\nAnswer: 3*u*(u + 18)*(u + 111112)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z - 12. Let s be o(13). Suppose -2*x - 3*l + s = 0, x = l + 38 + 14. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48689 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1765*t - 3536. Calculate o(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11001000012110122?\nAnswer: -11001000012110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 12. Let u(s) = s**2 - 1. Let j(w) = a(w) + 6*u(w). Differentiate j(o) wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-114)*3\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39737 - 19737. Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12))\/(51\/(-204))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 95*o**3 - 3*o**2 - 21*o + 187. List the prime factors of i(7).\nAnswer: 2, 3, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536\/6 + (-30)\/3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29991, 59979, 89967, 119955, 149943, 179931?\n\"Answer: 29988*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 197*f**2 - 7*f + 59. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, o: 5, g: 2}. Give prob of picking 1 o and 1 k.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/18*p**4 - 2\/9*p**3 + 0*p + p**2 - 1\/360*p**6 + 1\/180*p**5 - 4. Let m(k) = 0. Calculate k.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -201 + 7*n + 201 + (0*n - n + 2*n)*(2 + 0 - 1) - 2*n + n + 6*n + (-3 - 2*n + 3)*(1 + 0 + 1)*(-1 - 4 + 3).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -843208 and 0.4.\nAnswer: -843207.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14894 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/4 - 97*g**2\/4 + 101*g = 0. Calculate g.\nAnswer: -101, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 82*g**3 + 9014*g**2\/5 - 132*g\/5 = 0. Calculate g.\nAnswer: -22, 0, 3\/205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 178 = 46. Let q be 12\/(-15)*(-411621 + h). Round q to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 3*o**3 - 4*o**3 - 8*o**3 - 128*o**2.\nAnswer: -15*o**3 - 128*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggvgggjggggohv?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let y(p) = -17*p**2 - 15*p**2 + 3*p**2 - 5*p**2. Determine y(l(s)).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83432893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12823719 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from vqvdvvvdvvvvdvqhdvqd.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 2. Let f = 0 - -5. Let m be j(f). What is the highest common divisor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 6. Let c(f) = -7*f + 12. Let g(w) = -4*c(w) + 7*x(w). Let y(o) = -20*o + 17. Give 17*g(n) + 6*y(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 3*d + 3*d)*(99*d + 2 - 114*d + 24*d) to the form k*d**2 + o + g*d and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**24\/v*v*v)\/((v\/(v*v\/(v*v**(-2))))\/v) assuming v is positive.\nAnswer: v**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1565 or -1563?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. Let k(c) be the second derivative of 1\/18*c**4 - 1\/30*c**6 + 0 + 1\/6*c**2 + 1\/6*c**3 - 1\/126*c**7 - 1\/30*c**p + 3*c. Factor k(h).\nAnswer: -(h - 1)*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 3 + 3)*(4 - 2 - 3) + (-3 + 5 + 7)*(-6 - 9 + 2)*(167*y + 163*y - 355*y) to the form g*y + k and give g.\nAnswer: 2927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2609213, -2609212, -2609211?\n\"Answer: i - 2609214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1586715 by 79.\nAnswer: 20085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345486556*n**4 - 5739*n - 42317.\nAnswer: -4145838672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 + -28)*1\/(-1). What is the remainder when 105 is divided by (o - (-4 - 0))*2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-x - 2*x - x) - x + 2*x + 0*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5156\/239, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50927782501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3332 - 3331.9997613. What is u rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 1 + 1 + (2 - 2 + 3*m)*(-5*m**2 + 4*m**2 + 4*m**2) - 217*m**3 - 38*m**3 + 34*m**3.\nAnswer: -215*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - h - 7. Does 44 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/12*u**2 + 1\/3*u + 1\/12*u**6 - 1\/6*u**4 - 1\/3*u**3 + 2\/15*u**5 - 13. Solve q(w) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4536511, 25, -4.\nAnswer: -4536511, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*t**6 + 18*t**5 + 8*t**3 + 368*t**2 + 56*t?\nAnswer: 1320*t**3 + 1080*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 3*m**2 - 2*m + (1 - 1 + m)*(3*m + 3*m - 1 + 0*m) + 8*m**2 + 25*m - 25*m to q*m + i*m**2 + k and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:27 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6217893 divided by -5973.\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5.125, -0.09766, -2?\nAnswer: -0.09766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015364321 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j = 34*j + 270. Calculate the remainder when 179 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddjqzqqadhjjaaqaq. What is prob of picking 3 d and 1 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 37. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27095, 27094, 27093?\n\"Answer: -d + 27096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v. Let t = -61\/255 + 2\/51. Let h = 8.5 - 8. Which is the third smallest value? (a) v (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/191 (b) 0.3 (c) 7808 (d) -6 (e) 3\/7 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 14 - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 + 2*b. Let u be c(2). Suppose t = -q - 2*q + 12, q - u = 5*t. Suppose t = 3*s - 5*s. Solve 5*z = 25, -40 = -5*m - s*z - 3*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5685 + 9227 = -2*d, -3*c + 3*d = -11181. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.018 * -1.16\nAnswer: -0.02088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 times -1.83\nAnswer: 0.6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34931, 69917, 104907, 139901?\nAnswer: 174899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 4726117*q - 4726117*q - 711*q**2 + (-q + 3*q - 4*q)*(-2*q - 1 + 1)*(-4*q + 2*q**2 + 4*q).\nAnswer: 10*q**4 - 711*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 72. Let z = r + -67. Let x = z - -34.7. Which is the closest to 2? (a) -0.5 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-2)\/(-12)*-34. Let l(s) = -24*s**2 + 173*s**3 - 349*s**3 + 3*s + 174*s**3 - 8*s**2 - 16 + 17*s. What are the prime factors of l(q)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-12) - (-6)\/(-36). Let x(l) = -10*l + 1. Give x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/21 - 84906\/(-63). Round i to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.1284459 to 1 decimal place.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 46*y**2 + 36*y + 3705. Give n(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -0.4 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212.5 - 212.52. Let q = 292\/5 - 59. Which is the smallest value? (a) -1.2 (b) q (c) 0 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/13)\/f**(3\/4)*(f*f**(2\/15))\/f**(-2\/17) assuming f is positive.\nAnswer: f**(4603\/13260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 - 3*x**3 + 2*x**3)*(0 + 2*x + 0) + (2*x + 0 + 0)*(0*x + 3*x**3 + 0*x) in the form g + b*x**4 + l*x**2 + z*x**3 + h*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01786481 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (((7 - -4) + -4 + 19 - 8) + 8).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/730 and 13\/186734.\nAnswer: 933670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 184. Let n be l(26). Suppose -2*r + 0 = -6. Let v be r\/2*80\/30. Solve n*b - v*b - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 345.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 158\/(-3)*(-5 + -7). Let y = j - -108. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3796456 or -3796455?\nAnswer: -3796455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (108\/405)\/((-3)\/(-45)). Solve x*j + 5*m = -11, 4*m + 7 - 23 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -495, 0.142, -3 in ascending order.\nAnswer: -495, -3, 0.142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**7\/42 - 2*s**6\/15 - 3*s**5\/20 + s**4\/3 + 2*s**3\/3 - 255*s. Factor g(r).\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 14*p + 2. Let s be h(14). Suppose -13 - s = -5*j. Suppose -4*g - 4*d = 0, 3*g + j*d - 14 = 7*d. Solve g*w + 3*w = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 + 4*c**2)*(3*c**3 - 2*c**3 - 2*c**3) + 10*c**4 - 10*c**4 + 10*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 6*b + 6*b - b**2 + b**4 - 2 to the form m + d*b**4 + i*b + u*b**2 + w*b**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/2 + 244*a**3 + 11547*a**2\/2 - 6508*a - 12038 = 0. What is a?\nAnswer: -463, -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 40 = 16*i. Let o = -10 + 4. Let z = 22 - 17. Sort 1, o, i, z in descending order.\nAnswer: z, i, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 68*h + 55. Let v be a(-4). Let i = v - -504. What is the remainder when i is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, -8, 5 in descending order.\nAnswer: 5, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 7*k - 3*k - k**2)*(9 - 8 - 5).\nAnswer: 4*k**2 - 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3314 + 1232809\/372. What is the common denominator of -127\/24 and x?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 + -2844559956.65\nAnswer: -2844559954.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 181, 358, 535, 712?\n\"Answer: 177*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/6 + 6*c. Let m(w) be the second derivative of 11*w**3\/6 + 8*w - 45. Calculate y(m(x)).\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141602239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077437.\nAnswer: 3, 263, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4b4909 (base 14) to base 5\nAnswer: -1130232441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 5808?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -554*x + 565*x - 132. Calculate the lowest common multiple of x and 5566.\nAnswer: 38962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -15618996 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 13 = 3*q + 6, -37*w = -3*q + 24*w - 79 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49a0426 (base 12) to base 8\nAnswer: -66714136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182\/3 + 60. Let i = -19.66 + -530.84. Let r = -551 - i. Which is the fourth biggest value? (a) r (b) -0.2 (c) f (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273.8 + 271.8. Sort 2\/11, 4, i, 0.4 in increasing order.\nAnswer: i, 2\/11, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 8*z - 3. Calculate the smallest common multiple of v(-9) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10 - 39 + 9 - 26 + 21*c. Let n be h(-14). What is n rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + 3 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 576677\/6 - 97171. Let c = -152004314\/142185 - 62\/9479. Let d = b - c. What is the common denominator of -22\/5 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3820859, -5, 35 in decreasing order.\nAnswer: 3820859, 35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/13175 and -149\/115940.\nAnswer: 579700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66865120 and 20.\nAnswer: 66865120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6817515 and -0.5.\nAnswer: 3408757.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:01 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*a - 23275 = -805*a + 189*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3. Let n(m) = 6*m**3 - 6*m**2 + 4*m + 5. Let c(b) = -n(b) + 5*q(b). Let o be c(5). Solve o*p - p = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*m - 5*m + 1465, -4*a = 2*m - 586. Let x = -201 + m. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800 and 14?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/21 (b) 0.5 (c) 0.2 (d) 2 (e) 7\/5 (f) 0.0934\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 302, 0.1, 2, 0 in descending order.\nAnswer: 302, 2, 0.1, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/25)\/2)\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -33) + -11 + 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (547 - 556) + (-36 + 0 - (-7 + 7)) + 0.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16374047 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzs when four letters picked without replacement from {m: 1, z: 6, s: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 280. Let u(v) = -212*v - 2. Let d be u(-1). Suppose 5*n - d = -n. What is the highest common factor of f and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91531 and 4823.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -0.5 (c) -74 (d) 12 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 2338.16861216.\nAnswer: 2338.06861216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 228, 144, -16, -276, -660?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = a - 2*a, 0 = -5*i + 4*a + 8. Let c be (4\/10)\/((-2)\/(-10)). Let w = -12.61 + 15.61. What is the closest to 0 in i, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 37. Let f be l(12). Solve w + f = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45834 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.15278426 to two dps.\nAnswer: -4.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583 and 6022577?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80884 and 5263.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {k: 2, s: 7, m: 1, p: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57940 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*((sqrt(162) - -4*(0 + sqrt(162) + sqrt(162))) + -4 + -2 + sqrt(162) + 0)*-2)**2.\nAnswer: -3888000*sqrt(2) + 58449600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41583*k**2 + 41631*k**2 + 41629*k**2 - 208113*k**2 + 41638*k**2 + 41633*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -766*g*s**2 - 2775*g - 179897*s**2 - 23*s wrt g.\nAnswer: -766*s**2 - 2775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -7*f**5\/20 + 73*f**2. Suppose 9 = -5*j + 24. Let x(p) = -2*p - j*p + p + 2*p. Give x(a(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vezzdeszezvezls. What is prob of picking 2 s, 1 l, and 1 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349427875.\nAnswer: 5, 2795423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -54, -25425 in ascending order.\nAnswer: -25425, -54, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6\/11 (b) -6.4 (c) -0.5 (d) 53.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 13219157.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqqqbqqqqq. What is prob of sequence qb?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090 - 6178 = -32*f - 124*f for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(17) + 4*(sqrt(17) - (1 + sqrt(17) - sqrt(17))).\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 542004*d**4 + 89503479*d**3 + 12017763*d**2 + 433632*d + 1980 = 0. Calculate d.\nAnswer: -165, -2\/31, -1\/188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r**2 - 30*r - 1. Let v be s(-2). Let l be 40\/50 + (-5 - v). Factor 8\/5*q - 2\/5*q**3 - l*q**2 + 16\/5.\nAnswer: -2*(q - 2)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.6. Let d = 55\/2 + -27. What is the closest to 1 in -3\/5, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 1539113 = -1537538 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let y = p + 0. Let k = -1.4 + 1.9. What is the biggest value in 0.3, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -11.8. Sort q, 0, -0.4 in descending order.\nAnswer: 0, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205754.3 times 16\nAnswer: 3292068.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 8*c - 8. Let t be (-250)\/(-8) - ((-38)\/8 - -5). Suppose k + 6*o - 5*o + 11 = 0, 0 = 5*k - o + t. Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/24428?\nAnswer: -11\/24428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 - 1221?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 1, o: 1}. What is prob of picking 2 y and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from {v: 9, b: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 2 = -m, -l + 4*m - 7 = 0. Calculate the remainder when 54 is divided by l\/(0 + 2\/28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 16 = -0. Let o(s) = -3 + 0*s + 15 - 7 - s. Let i be o(b). Solve 0 + i = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-7 - -8) + -10 + -20 + 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1259?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/53294677 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3292464, 6584872, 9877170, 13169304, 16461220?\n\"Answer: -9*d**3 - d**2 + 3292474*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 0*b - 288 = 0. Let c = b - 31. Solve -c*h = 8 - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 843*t**2 - 18429*t - 19275.\nAnswer: -3*(t - 257)*(t - 25)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 13 = d, 32*d - 4*d + 2*l = 4*d - l - 114 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 931 divided by 2\nAnswer: 931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15262243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -2\/2441?\nAnswer: -2\/2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 + 274. Let f be 33\/(6 + o*68\/12). Calculate the highest common divisor of f and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 2, r: 2, n: 5}. Give prob of sequence hhf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -7*p**6\/3 + 2*p**2 + 7. Find the second derivative of b(f) wrt f.\nAnswer: -280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5073 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 32*v**2 + 33*v + 60. Let n be j(-31). Let q = -9.01 - -0.01. Sort n, q, 4 in decreasing order.\nAnswer: 4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (-1 - 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -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: -0.24 * 0.7\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/3369 - 3840772\/23583. Let q = -4553\/28 - o. Suppose 1\/2 - q*n**2 + 3\/4*n**3 - 3\/4*n - 1\/4*n**4 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5425\/1550*96\/7.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 6*p**2 - p + 1. Let q be r(3). Solve 0 = 4*v + v - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83950*p**4 - 13795*p - 4.\nAnswer: 1007400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/315)\/((17\/(-153))\/(1 + -2)). Let r = -0.14 - -0.04. Which is the nearest to r? (a) -0.6 (b) 1 (c) g (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 553, 1637, 3549, 6505, 10721, 16413, 23797?\n\"Answer: 36*r**3 + 90*r**2 - 50*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3416, 14303, 32670, 58523, 91868, 132711?\nAnswer: 181058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869500129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 863 divide 15204334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222555\/35 + (-44)\/154 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 303098, 606693, 910288, 1213883, 1517478?\n\"Answer: 303595*m - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)\/(x*x\/(x\/(x*(x*x\/(x\/(x\/x**(-1\/3))*x))\/x*x))))\/(x**(-12\/7)\/x**(-9)) assuming x is positive.\nAnswer: x**(-383\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:36 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2848 or -2980?\nAnswer: -2980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -1467724.\nAnswer: -14677240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0045 + 0.1045. Which is the third smallest value? (a) y (b) -1.7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 10093\nAnswer: -4\/10093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, 5, 35\/2 in ascending order.\nAnswer: -2\/7, 0.5, 5, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 5 (c) -1\/149115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 68. List the prime factors of k(-22).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7274, 14553, 21832, 29111?\n\"Answer: 7279*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/13 - 6)\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/811 and -42\/10543.\nAnswer: 10543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s. Let l(v) be the first derivative of v**5\/60 + 8*v**2 + 9. Let w(c) be the second derivative of l(c). Give t(w(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, -74, -305, -626, -1031, -1514?\n\"Answer: z**3 - 54*z**2 + 20*z + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 88467480*v\/11 - 265402458\/11.\nAnswer: 2*(v - 3)*(v + 44233743)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42328)\/(-962)*2\/8*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millisecond in microseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -12, 14 = -v - v - 4*l. Which is the closest to v? (a) -4 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 99539360?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870504 divided by 11946?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(8\/7))**(-20) assuming h is positive.\nAnswer: h**(-440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 5 (b) -3\/5 (c) 0.2 (d) 101 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -3, -2\/613, 5 in ascending order.\nAnswer: -3, -3\/8, -2\/613, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003882331 rounded to 5 dps?\nAnswer: -0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m - 1. Let g(r) be the second derivative of -3*r**4\/4 - 4*r**3\/3 - 4*r**2 - r. Let h be (-4896)\/208 + (-90)\/195. Calculate h*j(k) + 3*g(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**6\/120 - 3*q**5\/20 - 9*q**4\/4 + 16*q**3\/3 + 4*q**2 - 16*q. Let c be z(13). Let d(n) = 2*n - 11. Give d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-3)\/((sqrt(14) - (sqrt(14) - (2*sqrt(14) - sqrt(14)) - sqrt(14)))\/sqrt(2)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 8*j - 1822 + 1862. Calculate the remainder when t(-17) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2085*x - 8207. Calculate the remainder when 12899 is divided by m(4).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*s + 23, 5*s - j + 2*j - 15 = 0. Suppose s*u = -f - 3*f - 12, -4*f + u - 17 = 0. Is f at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 times -0.06978?\nAnswer: -5.30328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 670416\/1637 or 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.064 - -0.264. What is the third biggest value in -0.3, 0.3, j, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*j + m + 4*m, 4*m - 12 = 0. Let h = -3 + j. Let v(n) = 2*n**2 + 4*n. Is 6 a factor of v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7682 - 7680. Solve -4*l + 7 = l + 3*s, -4*s + 18 = -u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 2 + 2)*(-o + 0*o + 10*o)*(0 + 2 + 1) to f*o**2 + h + j*o**3 + s*o and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:31 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*p = -0*p - 12, 5*p - 18 = -4*u. Put u, 3\/8, -7 in increasing order.\nAnswer: -7, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17783511 is divided by 568.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6417 divided by 31?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031757186 rounded to 4 dps?\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1038, 4442, 10112, 18042, 28226, 40658, 55332?\n\"Answer: -k**3 + 1139*k**2 - 6*k - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 700*c**3 + 82 - 82 + (3 - 3 + 2*c)*(-4*c**2 - 4*c**2 + 6*c**2).\nAnswer: 696*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*g = 12872 - 12893, -72 = -4*p + 4*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (527 - 114 + 571 + 95 - 2 + 69)*(0*r**4 - 4*r**4 - r**4).\nAnswer: -5730*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -42, 5 in descending order.\nAnswer: 23, 5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6862, 6850, 6838?\nAnswer: 6826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36330768 and 30294?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, d: 5, e: 1, s: 3, m: 1}. What is prob of picking 3 d and 1 h?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7444 divided by -1861?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59946, -59942, -59938?\n\"Answer: 4*x - 59950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 4 (c) 0.22079 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 2184.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -12. Suppose -3*l = 3*b - 114, l - 3*b = -b + r. Suppose -5*f - 630 = -12*f. What is the highest common divisor of l and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4 and 61\/124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) 0.5 (c) -2 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 23*a + 15. Calculate the common denominator of 127\/24 and d(25).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:16 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*s - 15 = 0, 6*s - 3*s = -2*m + 25. Solve m*u = -2*k + 15, 2*u + 2*u - 10 = -2*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479020872?\nAnswer: 2, 3, 11, 1814473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c - 7. Let q(j) = 5*j - 4. Let w(l) = -11*q(l) + 6*v(l). Let d be w(-2). Let o(n) = -4 + 5*n**2 + 3*n - 4*n**3 + 3*n**3 - 2*n**2. Calculate o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7362*d**4 + 2535*d**3 - 2535*d**3 - d**3 + d**4 + d**3 + (3 + 1 - 3)*(0*d**4 + 2*d**4 - d**4) as u + n*d**4 + i*d + q*d**3 + k*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 3. Let r be j(-7). Let k = 45 - r. Let m(z) = z**2 + z + 82. What is the units digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2 - y + 2*y)*((y + 4*y - y)*(0 + 0 - 1) - 1 + 2*y + 1 - 2*y + 4*y - 3*y).\nAnswer: -12*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 154 + 154.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 2. Let t be (3\/(-2))\/(-1 - 33\/(-24)). Let z(b) = -9*b - 5. Let v(h) = t*z(h) + 11*i(h). Let j(r) = 3*r. What is j(v(f))?\nAnswer: 9*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0331072 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001688251 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 127\/1016 - (-245)\/(-40)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 239 = -2*b. Suppose 3*u - b = -4*y, -y + 22 = 5*u + y. Solve 0 = 5*d - 3*p + 18, -3*d + u*d + 2*p = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -324*a - 44. What is y(-1)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o**2 + 11*o - 7. Let h(v) = 38*v**2 + 31*v - 20. Determine 6*h(j) - 17*q(j).\nAnswer: 7*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 - -17.64. Let x = 17 - u. Which is the closest to -1\/2? (a) -0.5 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4458624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -172. Suppose k*l - 50*l = 85. Calculate the remainder when 100 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29902889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2830 and -0.08679?\nAnswer: 2829.91321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -72, -71, -58, -27, 28, 113?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-6)\/9)\/((-5)\/3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 11) to base 6\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -56, 0.3, -845?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*i + 58*i + 52*i + 5695*i**3 + 8124*i**3 + (-2*i**2 + i**3 + 2*i**2)*(-5 + 0 + 3).\nAnswer: 13817*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/340 - (-2 - 21\/(-15))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1574 and 48.\nAnswer: 37776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 22, 0.01, 0.5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25927 and 3486411.\nAnswer: 3460484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = 3*u. Suppose u = 4*a - 1. Find the second derivative of -3 + 3*q**3 + a + 10*q + 2*q**3 wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 754110 + 754108 - 50*d**2.\nAnswer: -48*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/248 or -1?\nAnswer: 23\/248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105719 + 0.93.\nAnswer: 105719.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 18*q**3 - 67*q - 5*q - 3*q + 17*q**3 to the form z*q**2 + i*q + f*q**3 + r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 925, 1279, 1587, 1867?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161318 and 4266?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 11\/835823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 39*l - 33*l - 48, 7*l - 3*l - 17 + 1 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -265250\/37 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 2. Let w = m - -3.5. What is the closest to -2\/5 in 2\/9, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -129*u**4\/4 + 59*u**3 - 67. What is the third derivative of y(q) wrt q?\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276 + -157. What are the prime factors of v?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = -0*w. Find the third derivative of -w*q**2 + q**4 - 4*q**4 + 6*q**2 wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2513?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/360 + 1)\/((-6)\/15)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, 4, -685, 2\/3, 0.7, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16224*s + 1768. Let x(r) = -55*r - 6. Let z(d) = -6*p(d) - 1768*x(d). Let c(g) = 2*g. Calculate c(z(w)).\nAnswer: -208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -160*x - 3512. Determine h(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o - 1. Calculate g(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.401 (b) 1380 (c) 2\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -29 + 30 + 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -470224 - -853456528\/1815. Calculate the common denominator of w and 62\/363.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/124*-1*8\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -41*f + 43*f. Suppose 27*k - 1580 = -3*m + 28*k, -4*k = f. List the prime factors of m.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4718*x**2 - 9. Let c(w) = 473*w**2 - 1. Calculate -21*c(m) + 2*v(m).\nAnswer: -497*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0370076676 to 6 dps.\nAnswer: 0.037008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*d**3\/5 + 589*d**2\/5 - 12*d\/5.\nAnswer: -d*(d - 12)*(49*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3031*l**2 + 3112*l**2 + l**3 - 6143*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -3 + 3 - (48\/(-96))\/(2\/44708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(544\/53) + (-124)\/(-527).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-16)*152\/19*77\/(-175).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2, -27 in decreasing order.\nAnswer: 2, -25, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.49 and -5408?\nAnswer: 5406.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*2\/4)\/((-9)\/84). Let r = -10 + f. What are the prime factors of (4 + -7 + r)*91?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13834.65l to millilitres.\nAnswer: 13834650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 (base 9) in base 7?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7426)\/1833 + ((-4)\/12 - -1).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*v + 27. Suppose -32*i - 110 = -27*i. Sort 3, v, i.\nAnswer: i, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 162 = -3*u, 3*u - 243 = -3*w - 2*u. Let l = w - 23. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 + 1, 0 = -5*a - 3*c + 7. Suppose -a*q - 3*q = -50. What is the smallest common multiple of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.2. Let w(f) = -f**3 - 3*f**2 - f. Let v be w(-1). Let u = 4\/107 + 178\/963. Which is the closest to v? (a) 2\/7 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 2)\/((-3)\/(1 + 2)). Let h = -3 - -12. Factor -11 - q**3 - 14*q**2 + 10*q**2 + h - d*q.\nAnswer: -(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 18 - 92 = -3*o, -i = -4*o + 93. Solve -5*v = x - 26, 4*v - o = -3*x - 0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggv when three letters picked without replacement from geevgeeggvggeg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58080, -116168, -174264, -232374, -290504, -348660?\n\"Answer: -a**3 + 2*a**2 - 58087*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.04. Sort -5, w, 2 in decreasing order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 40*l - 0. Let z(i) = -2. Suppose -3*v + 1 = -2*v. Let x(k) = v + 0 - 3*k + 4*k. Determine l*z(y) - 2*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4406 = -4*h + 3*b + 4369, -h - 5*b = 15 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/12 + 8*k - 10. Let o(d) be the first derivative of v(d). Let q(i) = 6*i**2. Calculate o(q(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s + 12. Calculate q(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/240 - 2*y**2 - y. Let r(f) be the first derivative of u(f). What is g in r(g) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - s - s - 41 = 0, -3*s - 70 = 5*h. Let x = -14 - h. Solve 0 = d - c + x*c + 1, 0 = 5*d + 4*c + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1452 + -0.6452. Let z = 31.3 - 31. Let s be ((-6)\/(-8))\/((-36)\/(-32)). Which is the smallest value? (a) z (b) s (c) p (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10870022 is divided by 350?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 - 1\/4*m**4 + 1\/60*m**5 + 0*m + 15*m**2 - 4\/3*m**3. What is z(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2416, 2432, 2458, 2494?\n\"Answer: 5*h**2 + h + 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/350 and 141\/4340?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 + 8 = 0. Let k(y) = -12*y. What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -2*n**2 - 2. Suppose 3*h = -4*h + 14. Let d(a) = 35 + h*a**2 - 35. Calculate d(s(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2918 - 2900. Let f(a) = 4*a + 50 + 3*a - 2*a. What are the prime factors of f(k)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-9)\/(-6)*322\/(-1449)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433691 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 2 + 0*f**2 - 5*f - 4*f**2 - 2*f**3 + f**2. What is the units digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 34 = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from ruqeaqqecuueuru.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (10 - (0 + 4)\/(-2)). Let i be 8\/n - ((-120)\/(-27))\/(-4). What is the closest to -0.9 in i, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 936*k**4 + k**2 - 8*k**3 - 12*k**3 - 730 + 14*k**3 + 6*k**3 wrt k.\nAnswer: 22464*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 211 - 7451*l - 68 - 64)*(-2*l + 7*l - 4*l).\nAnswer: -7451*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829375149 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578610 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2169048 and 34\/525.\nAnswer: 54226200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693768?\nAnswer: 2, 3, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:02 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 791440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/8, -42, -385\/4, -2\/13 in ascending order.\nAnswer: -385\/4, -42, -2\/13, 1\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 2734283485 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: What is the ten thousands digit of 52928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4a3 (base 15) to base 2\nAnswer: 10000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 11. Suppose -2*k - 3*f + 25 = -0*k, f + 21 = 3*k. Calculate the remainder when m(k) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1011101101100110100?\nAnswer: -1011101101100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 - 17003*u**2 + 887426*u + 904424 = 0.\nAnswer: -3452, -1, 262\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8920 + 71449\/8. What is the common denominator of x and 0\/(-1) - 142\/(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2654979\/(-151)*3*157654\/162. Let a = -51332853 - w. Let q = 10\/151 + a. What is the common denominator of 65\/9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x - 12. Let q be d(6). Let p(r) = -42*r**3 - 4*r**2 - 11*r + 6. Let s be p(q). Suppose 0*b = -b - s. Round b to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 500, 440, 346, 206, 8, -260?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*x - 1, -6*x - 12 + 8 = 4*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, -2\/7, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-10 + 4 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:21 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-8)\/(-6) - (-4 - -7). Suppose 0 = -k*m - 204 + 659. Let z = 168 - m. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*-2)**2 - ((sqrt(11) - (sqrt(44) - sqrt(11))) + 1 + ((sqrt(66)*1)\/sqrt(6) + sqrt(11) - sqrt(11) - sqrt(11))).\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + -20 + 26 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 3. Let r be v(9). Let g be (0 - -2)\/(r*(-2)\/(-30)). Solve -4*d - g*k = 3 + 7, d - 3 = -4*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/9 (b) 21 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -3 - 1\/60*m**5 + 0*m + 0*m**2 - 2\/3*m**3 + 5\/24*m**4. Let s(h) be the third derivative of f(h). Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 43099990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -6 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-35)\/(-10))\/((-20)\/(-30))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395002 and 155434?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (306*-1)\/(-3) + -2. What is the highest common divisor of h and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let l(v) = 14*v + 4. Let o(g) = -l(g) - 5*q(g). Is o(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3926313468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 12. Let v be z(-9). Suppose 4*f - 2*o = -1 - 3, 5*f = -v*o - 27. Is 14 a factor of (f - (-162)\/(-30))\/((-1)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897, -1787, -2681, -3579, -4481, -5387, -6297?\nAnswer: -7211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649593 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2032 - -1976. Is b at most as big as -223\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 28 (b) 0.8 (c) 2\/17 (d) 48 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -46, -34, -18, 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4987724, -4987723, -4987722?\n\"Answer: s - 4987725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + m)*(0 + 2*m + 0 + 6*m + m - 5*m + (2 - 3 + 0)*(-m + 3*m - m) + (-2*m + m + 0*m)*(-4 + 2 + 1)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8838280 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/1315171 and 20\/351109.\nAnswer: 77595089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/19, -0.03, 475 in descending order.\nAnswer: 475, -0.03, -10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9*d = -420. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 154. Suppose q = 2*y - 3*x, 0 = 4*x + 38 - 26. What is the remainder when y is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 - d**5\/12 + d**4\/24 - 4*d**2. What is the units digit of h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let o be q(0). Suppose o*d - d - 5*z + 1 = 0, 3*d = -4*z + 36. What is the remainder when 47 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 11) in base 4?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*y - 7*y + 9*y)*(5 - 2 + 1 + (1 + 1 - 4)*(0 + 1 - 3))*(16 - 16 - 6*y).\nAnswer: -240*y**2 - 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12505, 83470, 276093, 651202, 1269625, 2192190?\nAnswer: 3479725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*u + 200 = 252*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 27*z**2 - 10*z + 69. Let s be a(-14). Solve 0 = -s*l - 365 + 313 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - 3 = 0. Let k = -7 - -5. Let b(g) = g**3 + 2*g**2 - g - 2. Let y be b(k). Solve y*w - j*w - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*c + 28, -b + 31 = -0*c - 5*c. Let t(k) = k**2 + 3*k - 4. What is the remainder when 26 is divided by t(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173684.8929 + 173694. Let g = r + -9.1. What is g rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 + -11)\/(-4) - (-4 - 0). Let s(d) be the first derivative of -1\/2*d**a - 15*d + 8. What is the derivative of s(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 - -185) + (-4 + 0 - (-10 - (1 + -2)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*l - 2*l + 5 = 0, 2*o - 5*l = 16. Let a be 30 + o\/3 + 0. Suppose 2*y - 4*y - a = -r, -4*r = y - 106. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, 416, 63\/29?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.400664ml in litres?\nAnswer: 0.000400664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Suppose t*y + 2 = -8. Is y\/15 + (-4656)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*r - 20 = 145*r. What is the highest common factor of 745 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (78\/12)\/(1\/2). Suppose -2*h + 33 = t. Is (-56)\/(-10) + 7\/(175\/h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.574 to the nearest integer.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -45. Let w be (-26)\/(-8) - 2\/8. Suppose -1 = w*i - 25. What is the highest common divisor of i and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80)\/(sqrt(16)\/sqrt(4))*4)\/(4*(sqrt(4) - (sqrt(36) - sqrt(4) - sqrt(4))) + (sqrt(32)\/sqrt(2))\/sqrt(4)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-2*-4 + (sqrt(180) - (-1 + 2 + sqrt(180) + sqrt(180))) + 3*(sqrt(180) + -1 + 5)*1)**2 + -4.\nAnswer: 1320*sqrt(5) + 18117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 5 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2. Let q(b) = -9*b**2 + 4*b**2 + 4*b**2. Calculate f(q(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 561*b**4*x + 2*b**2*x**3 + 2190*x**3 wrt b?\nAnswer: 2244*b**3*x + 4*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971264.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -265, 2, -2, 3, -126 in descending order.\nAnswer: 3, 2, -2, -126, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x + 435. Let k = -81 - x. Let s be (4\/30)\/(k + 85\/(-15)). Which is greater: 0.12 or s?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28723.57 - 0.\nAnswer: 28723.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/107 or -1?\nAnswer: 7\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 308114 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 z(r) = 3*r**2 - 2*r. Suppose -5*l = 3*b + 37, b + 3*b + l = -21. Let f(n) = 2*n**2. Let t(i) = b*f(i) + 2*z(i). Suppose t(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**2 + 3*v. Let j(r) = 7*r**2 - 2*r. Let a(f) = -f + 7. Let g be a(9). Let b = -7 - g. Determine b*o(z) - 7*j(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + (-130)\/(-15) + (-2)\/(-8) and 3\/(-12)*62\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -4*h**2 + 631. Let g(a) = -3*a**2 + 128*a. Determine o(g(c)).\nAnswer: 24*c**2 - 1024*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46572.56 nanograms?\nAnswer: 0.00000004657256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let f(x) = 4*x**2 - 33*x - 51. Determine f(c(k)).\nAnswer: 16*k**2 - 66*k - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 740 = 8*m, 0*m = 2*p - m - 1497. What is the remainder when p is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(833)*-4 - (sqrt(272) - (-1 + -3 + sqrt(272))))**2.\nAnswer: 1120*sqrt(17) + 333216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -136*u + 139*u. Suppose u*a - 10*a = 5135. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) -988 (b) 0 (c) -0.012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621019619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 63227220.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.327153 rounded to two decimal places?\nAnswer: 2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13.7*-9\nAnswer: 123.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**3 + 82*d**2 + 12*d + 117. Determine r(-11).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -22.336514?\nAnswer: -25.336514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207366551 and 3059.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 2*n - 11*n**2 + 8*n**2 - 63 + 2*n**2 + 2*n**2 to j*n + o + l*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (68\/(-17) - 1) + 25 and 796?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110001 - -1001000111?\nAnswer: -11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 - 9822*b**3 + 312000*b**2 - 2489856*b = 0.\nAnswer: 0, 16, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165805 or -165531?\nAnswer: -165531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 987 + 459*c - 333*c - 125*c in the form h*c + b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*h**2 + 4 - 2 - 6*h**2 to z*h + m + d*h**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1502 + 0.1500395. Round f to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 1.5. Let x = 1\/111 + 326\/777. Let s = -3 + 2. What is the nearest to 1 in h, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.904911 months to years.\nAnswer: 2.07540925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 9. Suppose 12 = -s*t + 6. Let u(a) = -a**2 - 7*a - 3. Let j be u(-7). Is t > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6569 = 74*m - 8567 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254791332 by -349508.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 487232041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0778986977 to five decimal places.\nAnswer: -0.0779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f - 10. Let o be v(-8). Calculate the highest common divisor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/463 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88, 2\/15, -4, -3, 1\/57, 1\/5, 0.1?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*g*t**3 + 7*f*g*t**2 + f*t**2 - 2*g*t**3 + g*t**2 + 4*t**3 - 5 wrt t?\nAnswer: -12*f*g - 12*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 26 - -37 - -17?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - f**2 + (-2*f - 2 + 2)*(2*f + 0*f + 0*f) + 251 - 252 + 294*f**2 - 86*f + 87*f to the form h*f + p + a*f**2 and give a.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470, -471, -472, -473?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ixixiixxxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzzx when four letters picked without replacement from xkxzkzxkzzzxkzzx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 881704293.5 and 56.\nAnswer: 881704349.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or 8363?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/97708382 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -98 (b) 1\/3 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*i + 5 = 0, -20 = -5*d + 5*i - 0. Let w(j) = -d - 4*j**3 - 3 + 5*j**3 + 7*j - 6*j**2. List the prime factors of w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 641*r**2 + 12323859*r - 134582 = 0.\nAnswer: -19226, 7\/641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, 115, 158, 181, 178, 143, 70?\n\"Answer: -y**3 - y**2 + 67*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 305348303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -212333?\nAnswer: 212324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 11. Suppose 2*k - 5*k - 3*v = 396, 0 = 4*v - d. What is the least common multiple of 21 and (k\/(-10))\/(2\/12*3)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 8*c - 3. Let t(y) = 6*y**2 + 10*y - 3. Give 5*n(l) - 4*t(l).\nAnswer: -4*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*f - 75 = 5, -66*b + 316 = -8*b + 2*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -4 (b) -0.09 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by (-2)\/2*-6 + 0 + 95?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 17403*k - 104496. Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15197, -13\/31, 3\/5 in ascending order.\nAnswer: -13\/31, 3\/5, 15197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(3\/(9\/2)). Let j(v) = -3*v - 6. What is the smallest common multiple of j(h) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 22. Let q be 2\/(-5) - 47\/l. Suppose -q*a + 6*a = -423. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, p: 2}. Give prob of picking 1 p and 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10710573 divided by 10.\nAnswer: 10710573\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1024 + -1014 + (1 - -1 - -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 6*d + 0*d + (d + d - 3*d)*(-5 + 0 + 3) - 4*d + 3*d - 2*d)*(-60*d - 226*d + 132*d).\nAnswer: 462*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110 or -51818?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445 + 458. Let y(t) = 138*t**4 + 8*t**3 + 4*t + 206. Let f(l) = -413*l**4 - 26*l**3 - 13*l - 618. Let v(g) = p*y(g) + 4*f(g). Differentiate v(k) wrt k.\nAnswer: 568*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -24943189?\nAnswer: -24943189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-1645)\/420)\/47)\/((-12)\/11808)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8733*x - 742306. Give a(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -95 (b) 4\/7 (c) 0.1 (d) -14 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*q + 9, -2*q - 25 - 11 = -5*z. Suppose -z*p - 4 = -8*p. Let t(j) = 2 + 2 + 1 + j**p + 1 - 9*j. What is t(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Suppose -5*k + 17 = 12. Calculate the remainder when k is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*n + 7*l = -455*n + 206, l + 8 - 26 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*o + 5128 - 5243 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -6996.864.\nAnswer: -6992.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/6 + 3934606*a - 23221686562854 = 0.\nAnswer: 11803818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d + 145 - 390 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26325 and 2963025?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52719270?\nAnswer: 2, 3, 5, 1757309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*d + 1661*d - 97*d + 1236*d.\nAnswer: 2147*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 6*x + 7. Suppose l + 12 = 5*l. Let n(k) = -2*k**2 + 3 + 0*k**2 + 2*k + k + 0*k**2. Let p(s) = l*t(s) - 7*n(s). Determine p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164874032*u - 153695114 wrt u.\nAnswer: 164874032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2986836 rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52519516*0.9.\nAnswer: 47267564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-980)\/(-40) + (-3)\/2. Suppose m = -4*h - 1. Let y(w) = 10*w**2 - 2*w + 6. Let i(a) = 31*a**2 - 5*a + 17. Let u(l) = h*i(l) + 17*y(l). Factor u(b).\nAnswer: -4*b*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 157.6854 meters?\nAnswer: 15768.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5\/7 + 9*t**4\/7 + 145*t**3\/7 - 1965*t**2\/7 + 6696*t\/7 - 972 = 0.\nAnswer: -14, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 4. Let d(x) = 12*x. Let y be d(1). Suppose -j - 15 = 5*b + 3, y = -5*b + j. What is the units digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30)\/(-2 + 492*(-6)\/(-360)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.62 - 78. Let w = x + -0.6199929. What is w rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464654.\nAnswer: 2, 1232327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 6*g**2 - 282*g - 500. Calculate w(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -295979.1 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -6 (c) -7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16895, -16862, -16827, -16790, -16751?\nAnswer: -16710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22655546 (base 7) to base 4.\nAnswer: -13213212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-234*a**3 + 306*a**3 + 149*a**3)*(7*a + 25*a - 6*a) to the form c*a + b*a**3 + g*a**2 + f + v*a**4 and give v.\nAnswer: 5746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z + 27*z = -38*z + 1213625. What is the greatest common divisor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03356974*13\nAnswer: -0.43640662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3*z + 4*z)*(1 + 2*z - 1)*(-2*z**3 + 0*z**3 + 0*z**3).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 2. Let a be g(3). Suppose 5*d - 84 = a. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1882 + 416 + 1772)*(3*f + 0*f - 2*f + 0*f - 3*f + 2*f + (-1 + 2*f + 1)*(2 - 4 + 1)) to w*f + t and give w.\nAnswer: -8140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*j + 9*d**2 - 20*d*j + 2*d - j wrt d.\nAnswer: -12*d*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6830339?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 46*x**2 + x + 36. What is o(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22329 by 55.\nAnswer: -22329\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and 0.3?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 1, -770, -2 in increasing order.\nAnswer: -770, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 76*g**2 + 239*g - 86. What is the least common multiple of 152 and v(79)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -709*i + 1417. Let u be s(2). Which is the third biggest value? (a) 2 (b) -2 (c) u (d) -0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 63. Let b be o(-23). Solve 0 = 2*c - 15 + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*d**2 + 2*d + 43*d**2 - d**4 - 2*d**4 + 3*d**3 - 9*d**2 - 11*d**2 as t*d + a*d**2 + g + s*d**4 + h*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -936 (b) -2\/11 (c) -84 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgr when three letters picked without replacement from {z: 2, r: 2, j: 3, s: 4, g: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47345577219 - -0.5?\nAnswer: 0.02654422781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -4. Suppose 0 = -3*j - 14*j. Let x be 20\/5*(-1)\/4. Sort j, 1, l, x in descending order.\nAnswer: 1, j, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let j(t) = 179*t**2. What is y(j(i))?\nAnswer: -358*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 13 + 54 + 6\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 + k**4\/3 + 2*k**3\/3 + k**2\/2 + 26*k. Let m be i(-1). Suppose 0*q - 2\/3*q**m + 0 + 2\/3*q**3 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 68, 78, 90, 104, 120?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - 0.2. Let f = 0.8 + o. Which is the smallest value? (a) -5 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(84) + (sqrt(84) - -1*sqrt(84))) + sqrt(84) + (sqrt(84)*-1 + sqrt(84) - sqrt(84))*4)\/((-1*sqrt(12)*4 + sqrt(12))*-4))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1486920*u**5*x - 3*u**2*x - u**2 - 13*u*x + 900*u wrt u.\nAnswer: 89215200*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485491039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -41*i**5\/4 + i**4\/12 - i**3\/3 + 7169*i**2\/2 - 79*i. Differentiate h(p) wrt p.\nAnswer: -615*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 11:15 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**2 + 13*k + 172 - 212 + 4*k**2 + k**3. Let g be n(8). Solve g = -5*i - 3*c - 13 - 21, i - c = -2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 34*f**2 - 37*f - 8. Does 19 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*h + 26, 0 = 3*p - h + 19 + 28. Let g = p + 31. Suppose t + t = -g. Let o(n) = -n**3 - 9*n**2 - 8*n + 1. Calculate o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -4*g - j + 362, 0 = -4*g + 4*j + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/95 - 3531\/380. Let p = -251\/28 - l. Determine r so that 4\/7*r**4 - 4\/7*r**2 - p*r + 0*r**3 + 2\/7*r**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 26 + 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 26 - 26. Solve -8 = 4*x, 3*p = 5*p - 3*x + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343111 (base 6) in base 15?\nAnswer: 351d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m**3 + 233465*m**2\/3 - 11656*m = 0. What is m?\nAnswer: -1128, 0, 31\/207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 284293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4 - 258*j**3 - 9684*j**2 - 80504*j + 201840 = 0.\nAnswer: -58, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*m**2*p - 38*i**3*m*p**2 + i**3*m + 28*i**2*m + 3*i*m**2*p**2 - i*m**2*p wrt i?\nAnswer: 6*m**2*p - 228*m*p**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 0 (c) 48 (d) 89 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/12)\/5)\/((-776)\/(-291)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8713 is divided by 218.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j + 70. Let l be d(-11). Suppose 0 = -9*z + l*z - 3*q + 1116, -2*z = -5*q - 434. What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/((-2)\/(-78)). Suppose 3*f + 0 = 30. Calculate the remainder when 5*(3 + m\/5) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1605 in 0.4, 2, 1\/7, -11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/20 + d**4\/6 - 7*d**3\/3 + 5*d**2\/2 + 16*d - 12. What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -530.66 + 11.66. Let k = s - -519.00209. What is k rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13569309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2607\/(-440) - -6)*327\/(-9) and -83\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 52. Calculate the lowest common multiple of h(-10) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 6. Let k be n(-4). Suppose -3*f + 3*m - 11 = 7, 5*f + 38 = m. Let t = 4 + f. Put -3, k, t in increasing order.\nAnswer: t, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1709 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 87\/11?\nAnswer: 87\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 2) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244320 + -3130?\nAnswer: -303000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 8 = 0. Suppose -n*b + 8 + 8 = 0. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099878 divided by -177?\nAnswer: 6214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*n + 2*r + 4, 0 = -4*r - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 17. Let m(q) = -q - 1. Suppose 0 = -5*k + 1 + 4, -2*w + 13 = 5*k. Let i be m(w). Let g be d(i). Solve 16 = g*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000488427744 to 6 decimal places.\nAnswer: -0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -144. Suppose -4*a + 3*r + 341 = 0, -a - 3*r = -6*a + 427. What is the remainder when a is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.442532425+14\nAnswer: -84.442532425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 409 + -401. Is 16 a factor of (i\/12)\/(6\/1152)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/7 + 2*s**3\/7 + s**2\/7 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 16*g - 1244. Calculate the highest common divisor of g and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*8\/(40\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(85))\/(sqrt(180)*5).\nAnswer: 4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1, -0.02, 2, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65849306, 65849302, 65849298, 65849294, 65849290?\nAnswer: 65849286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeedggdpped. Give prob of sequence gd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 166*v - 2975. Determine z(-14).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 98901 divided by -1\nAnswer: -98901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v + 58. Let g be t(0). Let b be (16\/(-2))\/(-3 + 1). Suppose -2*q + b*q = g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 33322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89803862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225 - 676\/3. Which is the fourth biggest value? (a) 9 (b) -1\/2 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42519 is divided by 1646.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -6. Let h = t + -4.6. Which is greater: h or -19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(12\/154*(-123)\/(19188\/1144)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -266*b**2 - 28*b - 1. Let s(x) = -4*x. Determine 2*i(q) - 14*s(q).\nAnswer: -532*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1561*13.6\nAnswer: 21229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 548.81 and 0.228.\nAnswer: 125.12868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.045 and -2.\nAnswer: -20.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2255, -1\/3, -2\/9, 7, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwqnp. What is prob of sequence rq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/5 + 326*p**4\/5 - 27213*p**3\/5 + 104972*p**2\/5 - 103684*p\/5 = 0. Calculate p.\nAnswer: 0, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from cpzicooy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**5 - m**3 + m**2. Let h(q) = 5*q**3 + 2*q**3 + q**5 - 8*q**3. Let b(x) = -3*h(x) + 3*r(x). What is the third derivative of b(z) wrt z?\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/28 - 6\/14. What is the smallest value in d, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 times -950\nAnswer: 76000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13610)\/(-7) + 5 - 4\/14. Suppose -3*z - 15 = -0, n = 2*z + i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(5*4\/(-250))\/(-1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + -287 + 255?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 - -14.4. Let d = f + -17.2. Which is the smallest value? (a) d (b) 7\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -706959 + 23?\nAnswer: -706936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + 2*n + (4 - 1 - 4)*(0*n + 0*n + n))*(608 - 570 + 1016).\nAnswer: -3162*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2340800 and 18?\nAnswer: 21067200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35265 and 7011.\nAnswer: 82414305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183210 or 183209?\nAnswer: 183209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(972) - sqrt(20)\/(sqrt(256) - sqrt(4)))**2.\nAnswer: 20\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 - 48*u**2 = 0. Calculate u.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239643 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38\/6)\/(4\/12). Let f(k) = -p*k**2 + 21*k**2 - 13*k - 5 + 4. Is f(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2 + 3. Let n(d) = d. Let u = 4 - 5. Let w(x) = -4*x. Let m(r) = u*w(r) - 6*n(r). Calculate m(z(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 613410073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16265.9 - -16266. What is the nearest to q in 2, -82, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1216, 2447, 3648, 4813, 5936, 7011, 8032?\n\"Answer: -v**3 - 9*v**2 + 1265*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/762)\/((-31)\/890475*25) - -3?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.281453l to millilitres.\nAnswer: 1281.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 13. Let i = d + 29. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2 - 2)*(-4 + 6 - 3)*(-494*u + 348*u + 834*u) to p*u**2 + i*u + a and give p.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/((sqrt(300) + (sqrt(300) - sqrt(300)*-2) - sqrt(300)) + sqrt(300)) - (sqrt(2299) - (1 + sqrt(2299))*4))*-6.\nAnswer: -1983*sqrt(19)\/10 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27209.\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139041 and 494368.\nAnswer: 4449312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 1\/6*c**3 + 9\/2*c - 3\/2*c**2 + 6. Factor p(r).\nAnswer: (r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5 = 5*b, -2102*l = -2100*l - 4*b - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2914 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o. Let x(l) = -3*l. Calculate 3*j(s) + 5*x(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 24 (b) 2144 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.15183t to grams.\nAnswer: 13151830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12*(y\/y**(-1\/36))\/y assuming y is positive.\nAnswer: y**(433\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 47, 29, 5 in descending order.\nAnswer: 47, 29, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3328 and 9152.\nAnswer: 36608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 605, 1065, 1321, 1379, 1245, 925, 425?\n\"Answer: w**3 - 108*w**2 + 777*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 - 2. Let w(q) = -7*q**2 - 47 + 46 + 9*q**2 + q**3. Give -3*l(u) + 5*w(u).\nAnswer: 2*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3570 and 612.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 33*z - 20. Let g be n(4). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -663*i**2 + 736*i**2 - 3*i + 3*i. Let o(j) = 2*j**2. Give t(o(c)).\nAnswer: 292*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23764, -47535, -71306?\nAnswer: -95077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3819a54 + -18?\nAnswer: -3819a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 67. Find the second derivative of -i*t**5 - 76*t**5 + 150*t**5 + 13*t**2 + 56*t wrt t.\nAnswer: -20*t**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 13*k - 21. Let w(y) = 1717*y. Give w(v(p)).\nAnswer: -3434*p**2 - 22321*p - 36057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p**4 + 2*p**2 + 6*p - 19550 wrt p?\nAnswer: 16*p**3 + 4*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (5*sqrt(16)\/sqrt(4))\/(sqrt(8)\/(1*sqrt(4)) + sqrt(2))))**2.\nAnswer: -180*sqrt(2) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -2976\nAnswer: 196416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 16*h + 4*h**2 + 16*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*u**4 + 1787*u**2 + u.\nAnswer: -6672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-14))\/(4\/(-14)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8*(3 + -11). Suppose 36 = k*g - 5*p, 2*g + 4*p + 0 + 8 = 0. Solve r + g*r = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-12))\/(2\/(-6)). Let d(p) = -2*p - p - 4*p - 9 - n. List the prime factors of d(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 0*i + 13*i + 0*i + i - 3*i + (1 - 1 - 1)*(3*i + 3*i - 4*i) - 2 - i + 2 - i + 2*i - 2*i + 84 - 3078*i + 6158*i - 3077*i.\nAnswer: 11*i + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 6*a**2 - 35*a + 10. Let r(v) = -3*v**3 + 4*v**2 - 22*v + 7. Let g(b) = 5*k(b) - 8*r(b). Let x(j) = -2*j**2 - 5. Give -2*g(t) + 3*x(t).\nAnswer: 2*t**3 - 2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 29. Let o be m(7). Let j be (-15*3\/o)\/((-6)\/(-8)). What is the highest common divisor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 + 221 - (-2 - -2 - 9).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1214220 and -47\/242844.\nAnswer: 1214220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8e9c (base 16) to base 9.\nAnswer: 55064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 30505 and 30502 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 68*a**2 - 15*a - 106. What is the units digit of k(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63781 - -63783. Suppose 0 = -4*l + r, l - 2*r - 6 = -l. Put z, 1, l in descending order.\nAnswer: z, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j - 65. Let i be n(18). Solve 0 = 4*p - 12, -10 = 4*g + p - i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12723 - 229007\/18. Find the common denominator of v and -34\/403.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {z: 3, k: 1, o: 6, q: 2, w: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 839 + 828 = 4*v, -3*g = 5*v + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-55)\/(-143))*((-7)\/(-1) - (-475)\/38)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4)*1*3. Suppose 5*f - 20 = -3*a, -f - 2*a - 2 + 6 = 0. Solve -3*h = 5*y - c, 5*h + f = -y + 19 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 19 = -3*h. Let w = h - 10. Calculate the remainder when ((-104)\/(-6))\/(6\/w) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -7, -4, -66, 0 in decreasing order.\nAnswer: 0, -1, -2, -4, -7, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(4\/10 - 6419\/20960).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29240039927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4928 divide 23930368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 5*n + 1. Let c be o(3). Suppose 2*h - 5*h = 5*s - 362, 289 = c*s + 3*h. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3*(-2)\/(-84)*-7 + 0. What is the nearest to 0.1 in -11, a, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doq when three letters picked without replacement from ddnxdedodddqnxdddd.\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241696 > 38108852\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) -0.14 (c) -5 (d) -3 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*k, -3*k - 4*a + 18 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:32 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 10. Let y be a(7). Let r = 2 + y. Let q be 6*3\/((-27)\/(-24)). Solve c + q = r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c963 + -5?\nAnswer: 6c95e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -24. Let c(w) = -29 + n*w + 29. Let f(h) = -4*h**2. Give c(f(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 6. Let r(j) = -3*j - 1. Let k be r(-4). Calculate the least common multiple of 1 and d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1881*f + 4. Let t(o) = 69600*o - 150. Determine -75*c(z) - 2*t(z).\nAnswer: 1875*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**3\/2 + 2*w. Suppose -z = -4*z - 15. Let n(x) = x - 4. Let y(i) = i - 5. Let g(o) = z*n(o) + 4*y(o). Calculate u(g(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 3*m**4 - 5*m**4)*(-2 + 9 + 2)*(60*m - 33*m + 23*m).\nAnswer: -2700*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 57*l + 216. Let d be c(4). Solve 265*j = 267*j - d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-27)\/(-12)) - -7. Let s(t) be the first derivative of 0*t + 1\/2*t**2 + 3\/5*t**5 + c + 0*t**3 + 0*t**4. Find the second derivative of s(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173\/101 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkkoooookokooiooo. What is prob of sequence iook?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**7\/70 + o**4\/8 + 2*o**2 - 2. Let u(c) be the second derivative of j(c). Find the second derivative of u(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 s when four letters picked without replacement from {c: 9, s: 10, n: 1}?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*n + 24. Solve -4*f - f = -3*g - 9, n*g = -5*f - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -64. Suppose 2051 = f - 4*l - 1464, f - l - 3512 = c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1199, 2 in descending order.\nAnswer: 53, 2, -1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.43, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -792268?\nAnswer: -792268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.9 + 9. Let f = -32 - -32.3. Which is the nearest to y? (a) 0.4 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 1916832*v - 3833676.\nAnswer: 3*(v - 638946)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4293443 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10102*y + 20*y**3 + 10119*y - 22*y**3)*(9*y + 11*y - 10*y).\nAnswer: -20*y**4 + 170*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o - 7*o - 2*o + 14. Let u be w(10). Suppose 5*n = u*h - 2*h + 96, 0 = 5*n + 4*h - 78. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 12*u - 8. Let s be r(13). Suppose 0 = s*t - 0*t - 5, -t = 3*j - 250. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(5\/9)\/g)\/(g**(-42)\/g))**(9\/2))**(2\/61) assuming g is positive.\nAnswer: g**(383\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28390 is divided by 7088.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 7*b**3 + 5*b**3 - 9*b**3 - 10*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 2 q when four letters picked without replacement from {r: 5, d: 3, q: 2, a: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w + 4. Let r = 50 + -46. What is the remainder when f(r) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6179913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130000 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**2 - 18*y - 7. Let j(t) = 9*t**2 + 39*t + 13. Give -6*j(n) - 11*r(n).\nAnswer: n**2 - 36*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 3*c - 5, u - 14 = -4*c. Let q be (-45)\/3*(u + 1). Let l be 2\/8 + q\/(-36). Sort -3, l, -3\/7 in ascending order.\nAnswer: -3, -3\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039852514 to the power of 1\/3, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -17 - 67. Let v(b) = -25*b + 537. Calculate the least common multiple of v(21) and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53040 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.4, -1\/2, 3, 0.3 in descending order.\nAnswer: 5.4, 3, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*m - 4, m - 1222*j - 23 = -1225*j. Suppose -4*y = 5*n + 4 - 18, -y + 5 = 2*n. Suppose y = 3*v - 8. Solve -2*i - 17 = 3*q, -v*q - 13 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -57.\nAnswer: -89\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3232777531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252*r - 18552 = -704*r - 363*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*u + 35 = -5*f + 190*u, -f + 17 = -4*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 805332298 to the power of 1\/2, to the nearest integer?\nAnswer: 28378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8721 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*x + 3*o = 463*x + 21, 0 = 5*x - 2*o + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235*f*i**3*q**2 - 150*f*i**3*q - 17*f*i**3 - 3*f*i**2*q**2 + 174*f*i*q + 4*i**2*q**2 - 383*i*q**2 wrt i.\nAnswer: -1410*f*q**2 - 900*f*q - 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 - 2*k - 9. Let l be g(-9). What is the first derivative of 5*o**2 - 4*o**2 - o**2 + 5 + l*o**4 wrt o?\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2)\/v)**(31\/4))**48)**38 assuming v is positive.\nAnswer: v**(-42408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 52 - 10. Let k = g + -10. Calculate the greatest common divisor of k and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2711827 is divided by 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2. Let k be q(0). Suppose w = -4*s - 19, w + k*w - 5*s = 26. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(((-38)\/(-19))\/(-2*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 109325 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**4 + 2278*z**2 - 33*z + 75.\nAnswer: -60*z**2 + 4556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 436, 642, 866, 1108, 1368?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 801162*w - 87561. Let t(c) = -421*c + 46. Let b(d) = -3807*t(d) - 2*y(d). Let m(s) = 2*s. Give m(b(a)).\nAnswer: 846*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 66847*p**2\/5 - 223406015*p - 670338375.\nAnswer: -(p - 33425)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047 and 458141?\nAnswer: 21532.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((-7294)\/660 + 2\/(-12)). Let l = 8706\/565 + -1\/113. Let z = l - n. Which is the second smallest value? (a) z (b) 7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 - 7*t - 6. Let i(s) = s**3 - 3*s**2 + 6*s + 7. Let o(z) = -3*g(z) - 4*i(z). Let y be o(5). Does 15 divide -30*(y - (2 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 - 7*l**2 - 13*l**2 - 2*l**2 + 5*l**2 - 9 + 28*l**2.\nAnswer: -3*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 121. Let v be 16 - (-8)\/(32\/20). Solve -n = 4*n - j + 23, -3*j = o*n + v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v**2 + 1 + 0*v - 35*v**2 + 0*v.\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n. Suppose -4*m + 7*m = 33. Suppose 2*l - m = -0*q - q, q + 13 = 4*l. Solve -q = -n*p + 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6098987737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3016, -3004, -2992, -2980?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/13)*h*h*h\/h**(2\/7)*((h\/h**(-1\/7))\/h)\/(((h\/h**5)\/h)\/h))**(2\/11) assuming h is positive.\nAnswer: h**(1990\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1790611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -7. Let c(y) = -1 - 2*y + 0*y - 1 - y**3 - 4 - 5*y**2. Calculate the smallest common multiple of d and c(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654163 is divided by 5151?\nAnswer: 5137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -753 + 5?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.56020737 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 872416*j.\nAnswer: 4*j*(j + 218104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 10. Let f = h - -27. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a47 (base 11) in base 2?\nAnswer: 11111000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-36))\/(2\/(-4)*-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q*r**4 - 19*q*r - 49*q + 1043571*r**4 - 8*r + 12 wrt r?\nAnswer: 252*q*r**2 + 12522852*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312104\/23 - -13572. What is the common denominator of m and 6\/((-144)\/(-40))*(-18)\/4?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 = 3*l - 8, 0 = -4*l - 5*k + 29. Suppose -l = -4*x + 11. Solve 2*g - c = 0, -8 = -x*g - g + 4*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0 - 5\/6*w**3 + w + 108*w**2 + 1\/24*w**4. Let u be (-2)\/3 - (-58)\/6. What is j(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*p + 209*p + 23*p**3.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 41, -1, -2, 496 in decreasing order.\nAnswer: 496, 41, 10, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fonn when four letters picked without replacement from fknnkknrokkkonoffk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*l + 28*l + 214*l + 5964 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6ca - 1?\nAnswer: -6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 13*g**2 - 4*g + 16. What is the tens digit of x(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/20*-2*2\/12*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n + 23*n - 9*n - 11*n**2 + 38*n**2 wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 143*i + 613. Determine y(-76).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1410 and 810.\nAnswer: 38070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4875 divided by 39\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2304126.9ms?\nAnswer: 0.64003525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e6 - 4?\nAnswer: 1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 69*b**2 - 262*b + 259. Calculate i(73).\nAnswer: 2449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98476578*l**2\/7 + 16644324*l + 4923086 = 0 for l.\nAnswer: -4151\/7017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o + 81*o - 2*p = 23, o + 12 = -5*p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 851 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 5. Let n(w) = w**2 + 5*w + 2. Let t be n(y). Let o(f) = 0*f + 2 + 1 - t*f. Let a(c) = -2*c + 2. Determine -4*a(v) + 3*o(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028410.79 rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*v**5 + 2*v**4 - 215*v.\nAnswer: -340*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -y - j, -39*y + 237 = -10*y + 4*j + 74 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7566 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16182 and 674946?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 117\/15 + -8 - (-1 + 88\/60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12282 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1972969*c**3 - 2236053 wrt c?\nAnswer: -5918907*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1029*r + 1242. Let h(a) = -5*a + 2. Let z(j) = 5*h(j) - w(j). Differentiate z(q) with respect to q.\nAnswer: -1054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/225 - 11*b**5\/30 - 46*b**4\/5 - 364*b**3\/9 + 2704*b**2\/15 + 13*b + 162. What is g in t(g) = 0?\nAnswer: -26, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 366?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 142 + 6*v + 211 - 71. Let m(q) be the third derivative of q**5\/20 - 11*q**4\/24 + 2*q**3\/3 - q**2. Give 7*k(j) + 4*m(j).\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/3888 and -67\/648.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 328613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673955324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0 + 0)*(28 - 28 + 35*y**2).\nAnswer: -35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*k + 4032 = 0, 2*k - 488 + 2502 = 2*v. Calculate the greatest common divisor of v and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d - 1. Let v(n) = -17*n + 2. Let l(i) = -7*c(i) - 4*v(i). What is the first derivative of l(b) wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/93012 and 41\/48249975.\nAnswer: 192999900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.072 (b) 5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35778*g**4 - 4140*g - 3 wrt g?\nAnswer: 429336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39007 (base 11) to base 2\nAnswer: -1101101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3 = 3*z, -3*z = 7*s - 2*s + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816*o - 4842*o = 78 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*f + 8, 5*n + 6*f - 2*f = -10. Let u(j) = -j**2 + 3*j**2 + 3*j - j - j. Give u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 5, f: 8, j: 2, z: 1}. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 + 6*w**2 - 3*w**2)*(-14 - 4*w + 14) + (-5*w + 5*w + w**3)*(-1 - 2 + 2) as b + y*w**3 + o*w + m*w**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, j: 6}. What is prob of picking 1 j and 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 10*j - 8. Let a be v(-8). Suppose a*m - 29 - 3 = 0. Solve -2*s - m = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -2520, -8525, -20228, -39531, -68336?\nAnswer: -108545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136832, 136551, 136254, 135941, 135612, 135267?\nAnswer: 134906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**8\/28 - 3*k**5\/20 - 379*k**4\/12 + 2385*k. What is the third derivative of y(b) wrt b?\nAnswer: 240*b**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 54 - (4 + 5 + 14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4719*t + 4808 wrt t.\nAnswer: -4719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15753*j**4 - 232748 wrt j?\nAnswer: -63012*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4\/5, -4, -339, -912?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1707322 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 151652 - -417942\nAnswer: 569594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -82*b**3 + 21*b**2 - 118*b - 17. Let c(h) = -28*h**3 + 6*h**2 - 39*h - 5. Determine -7*c(l) + 2*g(l).\nAnswer: 32*l**3 + 37*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 3) + 1 + 23. Suppose -2*n = -y - 6*n + 14, 0 = -2*y - 2*n + a. Calculate the least common multiple of y and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/17))\/(i*((i\/i**(-39))\/i)\/i))\/(i*i**(4\/7))**(-2\/65) assuming i is positive.\nAnswer: i**(-294921\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 43*k**2 + 13*k + 242. Calculate u(-43).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 5756300.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5*(18 + -7 - 6). Let y(d) be the second derivative of 0 + 3\/20*d**5 - 1\/6*d**4 - 2*d + 0*d**m - 1\/30*d**6 + 0*d**2. Factor y(n).\nAnswer: -n**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -59783?\nAnswer: -59783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1)*(-14)\/(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25935598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-305 + 311)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(-2\/9))\/z**5*z**(2\/9)*z\/(z*z\/z**(-1))*z*z*((z\/((z*z**(-1\/7)\/z*z)\/z)*z)\/z**(-6))**(1\/15) assuming z is positive.\nAnswer: z**(-319\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + 3*i + 931. Let a be r(0). Suppose -12*l + 125 = -a. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -7*c - g, 5*g - 15 = -5*c. Let v = -52 - -50. Let f be (-3)\/v - 26\/(-4). Put f, -5\/3, c in descending order.\nAnswer: f, c, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**7\/1260 + 11*p**6\/360 - p**5\/24 - 55*p**4\/12 - 2*p - 6. Let a(i) be the third derivative of t(i). Determine a(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3469824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + 1?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42a - -23?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let x be 24\/14 + (-6)\/(-21). What is the units digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225 divided by 1428\nAnswer: 75\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-102)*30*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138.6 - -139.6. Put 5, -12, 2, d in increasing order.\nAnswer: -12, d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85293023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1. Let z = -172 - -186. Let t(w) = -6*w - z - 8*w - w + 17*w. What is -28*q(n) - 2*t(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = -3*i - 2*w, -w = -2*i - 102685 + 102781 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 8) to base 4.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*t + 2*j - 13, -5*j - 22 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478 - 1316*i**3 - 478.\nAnswer: -1316*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1216) + -1 + 3 + sqrt(1216) + 1 + sqrt(1216) - -4*1*sqrt(1216)*-5)**2.\nAnswer: -1360*sqrt(19) + 351449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000584134 rounded to 7 decimal places?\nAnswer: 0.0000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from imipp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8184)\/(-178) + -694 + 648.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 12. Suppose -3 + q = z. Let n(k) = -11*k**2 - 9*k + 13. Let h(d) = 5*d**2 + 4*d - 6. Calculate z*h(s) + 6*n(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*(-1)\/((-2)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.084 - -41.916. Let q = 41.99963 - n. Round q to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 6215.\nAnswer: 1\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.127958239 rounded to four decimal places?\nAnswer: -1.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63390446*v**6 + 19*v**2 + 81497*v - 2 wrt v?\nAnswer: 7606853520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 151. Let j be u(29). Suppose -9*y + j*y - 1302 = 0. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34581436400 to the nearest 1000000.\nAnswer: 34581000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1491.2135802 to the nearest ten.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/((-649)\/(-55) + -12). Let m(r) = r**3 + 7*r**2 + r - 2. What is m(v)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3093, -13512, -31257, -56328?\n\"Answer: -3663*y**2 + 570*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434799993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811155656.\nAnswer: 2, 101394457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 - 4 - (14 + -34 + 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by 1187\nAnswer: -99\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210368 is divided by 1593?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w - w + 26*w)*(0 + 18*w + 0) + (-w + 0*w + 3*w)*(-3*w - 2*w + 3*w) to r*w + l*w**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100541699 plus 9.665?\nAnswer: 100541708.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-75)\/(-3)*(-4)\/(-10). Suppose -2*u + x = -4. Calculate the remainder when 2 - 1\/((-1)\/18) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485 and 7857.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97055 and 826236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 8*a**2 + 8*a - 45. Give c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(-2*a**2 + 3*a**2 - 5*a**2) + (a**2 - 3*a + a**3 + 3*a)*(3 - 5 + 3).\nAnswer: 9*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 591*f**2*j + 44*f**2 + 102747*j wrt f?\nAnswer: 1182*f*j + 88*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2646d (base 15) to base 4\nAnswer: 131322013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3301 + 321424?\nAnswer: 313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54658504 and 1595.\nAnswer: 3006217720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2331149414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + (-22 + 2)\/5. Let i be ((-1)\/1)\/(1\/(-1)). Suppose -5*p + d + 21 = 0, 3*d = -p - 0*d + i. What is the highest common divisor of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2522959.\nAnswer: 53, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 3*i + 3*g + 2*g, 4*g = -3*i + 425. List the prime factors of i.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 = 3. Suppose -22*p = -26*p - 10*p - 28. What is the second smallest value in p, -0.3, -0.1, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 2 + 11\/12*i**4 - 7*i + 0*i**3 - 24*i**2. What is the derivative of l(s) wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5119 or 5120?\nAnswer: 5119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, -3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -77051?\nAnswer: 77056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {f: 10, j: 3, a: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2. Suppose 0 = 3*v - 4*n - 46, 4 + 5 = v + 5*n. Let a(h) = -h - 6*h + 14 - v. Calculate x(a(i)).\nAnswer: 196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1616 and 41\/728624.\nAnswer: 73591024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - b - 5*q = 11, -5*q - 8 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600 - 17*g + 44*g - 11*g + 680 - 4495 - 15*g.\nAnswer: g - 5415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iid when three letters picked without replacement from itzztzzid.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 5. Let x be t(0). Solve -5*b + 5 = -x*u, u + 9 = -4*u + 4*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + ((2 - -11) + -20 - -10) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -40519 smaller than -40576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 9:05 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -526, -2133, -4826, -8605, -13470?\n\"Answer: -543*p**2 + 22*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/8*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*r + 1670 = 0, 2*a - 805 = 11*r - 6*r. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*t + 23 + 11 = 0, 5*i + 2*t - 31 = 0. Let b be i*(2 - 3)*-1. Suppose 0 = -b*k - 0 + 15. Solve 6 = 2*o, -4*o = k*l - 4*l - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 63164189?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36936 and 797202?\nAnswer: 9566424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.13017141 - 4147?\nAnswer: -4172.13017141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*n + 212*n - 360 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8543760 divided by 6?\nAnswer: -1423960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 26\/9 + 22\/9*w**2 - 50\/9*w + 2\/9*w**3 = 0?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(49)\/(sqrt(7) - (sqrt(42)\/sqrt(6) + sqrt(7))) - (sqrt(567)*1 + (sqrt(245)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 29039604?\nAnswer: 29039601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1247 and 77314.\nAnswer: 77314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142 - 343 + 182 + 119*q)*(-4*q**4 + 5*q**4 - 2*q**4).\nAnswer: -119*q**5 + 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - 5*q + 13. Let f be c(2). Let l be 17\/f + 250\/6. Calculate the greatest common divisor of 462 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.11 + -0.11. Let i = -1 + s. Which is the nearest to -2\/5? (a) -1\/7 (b) -3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4 + sqrt(11)) + -1)*-4)**2.\nAnswer: -1248*sqrt(11) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(81)\/(sqrt(6)\/sqrt(2)))\/(sqrt(36)\/(sqrt(8)\/sqrt(2))) + -2.\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let k be -2 - m - (2 + 2). Is 106*(28\/(-8))\/k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-1 + (-72)\/(-9). Suppose g = m + m. Solve 0 = 3*k - m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*1\/(-8)*-4. Are 4\/3 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (9 + -1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 12 + 5 = -n + 2*t, 0 = n - 5*t for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + 4 - (0 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 4*o**3 + 359*o**2 - 4*o**2 to b + u*o + r*o**3 + y*o**2 and give y.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 - n. Let y(i) = -13*i**2 + 20*i - 34. Let v(t) = 3*j(t) - y(t). What is v(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -1117\/10. Find the common denominator of (17 - 15)*(-58)\/18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/(2\/12). Let f = 555 - 563. Let u be (10\/(-200))\/(a\/f). What is the smallest value in -1, 2\/7, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k + 18. Let b be w(0). Suppose b*o - 14*o = 0. Suppose -2*r = -o*r - 446. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87228 and 783702?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -7 (c) -2\/33 (d) 16141 (e) 5 (f) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(34\/((-12580)\/74))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-218)\/6758 - 1062\/1674?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - p + 1. Let r(b) = 47*b**4 - 6*b**3 + 42*b**2 + 6*b - 6. Let g(x) = -6*k(x) - r(x). What is the third derivative of g(v) wrt v?\nAnswer: -1128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/30 + 3*h**2. Let r(o) be the third derivative of 0*o**3 - 1\/30*o**5 + 0*o**4 + 0 + 0*o + o**2. What is r(w(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -215 + 3*u - 4*u + 131 as p + t*u and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.55 and 19764.\nAnswer: 70162.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/8)\/1)\/(56\/(-224)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:18 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*w - 314516 = 0, -5*w = -9 - 6. Let j(q) = -z*q - 965832*q - 326913*q. Let n be j(2). What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 45726 = 3*l, 5*l - 45*n - 76230 = -50*n. Does 206 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 5*g - 10, 2*m + 2*g + 10 = 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-103)\/(-68) - (-9 - -9). Let p = j + -1\/68. What is the closest to 0.2 in 0.04, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1, -13, 0, -0.105, 2\/11, -18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -68.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + 11. Let d(a) = 5*a**3 + a**2 + 5*a - 9. Let u(k) = -2*k**3 - k**2 - 2*k + 4. Let l(z) = -3*d(z) - 7*u(z). Let h be l(2). Is h bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*y - 28, 5*h + 5*y + 13 = -2. Suppose -j - 31 = -3*c - 2*c, -3*c + h*j + 13 = 0. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 12. Suppose -12 = 3*p, -5*p - 17 = -3*n + 24. Let f(y) = -7*y + 43. Let k be f(n). Let r(a) = -6*a**2 + 13. Calculate k*r(w) - 7*b(w).\nAnswer: w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20730455 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 29. Sort -1, -5, a in ascending order.\nAnswer: a, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31304 + 102062 = -1912*i - 10939 + 18113 for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 - -1000?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65747.\nAnswer: 11, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59\/4 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000007 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + j - 6*j + 19, 5*j = -5*l + 35. Let n(c) = -l - 4 + 4*c**2 + 28 - 15*c - 8. List the prime factors of n(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494395 is divided by 4123.\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.34 - -31. What is v rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 40 = -5*h + d, -5 = 3*h - 4*d. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4011 and 317739387.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -503743\nAnswer: -12\/503743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4401 - 4395. What is the third smallest value in 3, -0.4, 145, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g**3 - 40*g**2 + 91*g - 54. Let z(n) = -18*n**3 + 41*n**2 - 92*n + 54. Let d(w) = -5*h(w) - 4*z(w). What is b in d(b) = 0?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*y + 5*a, -12*y + 38*a - 33*a = -9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508500 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.045 and 13078.4610908?\nAnswer: 13078.4160908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -1\/4, 2 in increasing order.\nAnswer: -1\/4, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by -250.\nAnswer: -217\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 5*g**2 + 6 - 6.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 338 = -38*x, -8*w + x - 6 + 50 = 11*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305205140 + -4?\nAnswer: -305205144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/63, 3 in ascending order.\nAnswer: -1, -1\/63, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2715 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260, -1264, -1268, -1272, -1276?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 146493900138\/(-1035) + 2\/15. Round t to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 + -3.339. Let a = 71.139 + x. Let k = a + -70.37. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-276)\/(-2116).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 11 - 11)*(-15*m**4 - 6*m**4 - 9*m**4) - 230*m**2 - 10*m**5 + 230*m**2.\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0122005, -2\/5, -1, 0.2 in ascending order.\nAnswer: -1, -2\/5, -0.0122005, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 12*d + 14. Let y be i(10). Let n(o) = -o - 6. Let b be n(y). Let c be b - (-3)\/(-3) - -7. Solve w - c = -j, 25 = w + 4*j + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from {z: 6, b: 2, v: 7}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3 + 19. Let z(x) = -4*x**2. Calculate z(w(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w + 7. Let i be (-36)\/24*(-1 - 1). Suppose o + 3*p - 1 = 0, 2*o + 2*o + i*p + 14 = 0. Let m(d) = -6*d + 8. What is o*g(z) + 4*m(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/241956 and 97\/83754?\nAnswer: 2177604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4551 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 41727281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 2, p: 1, w: 2, l: 1}. Give prob of picking 1 l, 1 y, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -6407.\nAnswer: 192.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -5 (c) 4 (d) 519 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**2 + 12*j**2 + 15*j**2 + (4 + 2 - 3)*(j**2 + 8*j**2 - 2*j**2).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 = 7*v - 1709. Let x = v + 833. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149940\/(-5586) + 3\/(-19)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 7 - 30\/6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19311.993 rounded to the nearest 10?\nAnswer: 19310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29254, -26621, -23988?\n\"Answer: 2633*r - 31887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -24 + 5 - (2 - (-1 - 22)) - 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 212 - 180 = 2*z, 5*g = 2*z + 4 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 63*v + 282 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05306 + 28.\nAnswer: 28.05306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1461229 and 645218.\nAnswer: 49681786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4)*4\/6. Let w be 3*(-3 + (-18)\/v). Suppose -2*q - 7 = 2*b - 61, -2*b + 5*q + 54 = 0. Calculate the greatest common factor of b and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 348*v = 13954 - 12595, q + 5*v - 31 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011 (base 2) in base 8?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -734, -734, -736, -740?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/28 - -6\/7. Let j = 613.41 + -613.91. Which is the fourth biggest value? (a) y (b) -0.1 (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = 2*v, -v + 190 + 38 = -113*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**3 + 0*n**2 - 2\/5*n**6 + 0*n**5 + 11\/12*n**4 + 0 - 14*n. What is the third derivative of y(c) wrt c?\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 16*q**3 + 14*q**2 = 0. Calculate q.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let n(u) = 2*u + 2. What is the units digit of n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 3}. What is prob of sequence dxx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 833, 1645, 2457, 3269, 4081?\n\"Answer: 812*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-15)*(-265)\/212. Solve 0 = 2*d - t, 4*t + 1 = -q*d + 5*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/7))\/q**(-9\/4))\/(q**(-2\/13)\/((q**(-8)\/q*q)\/q)))**(-1\/88) assuming q is positive.\nAnswer: q**(2089\/32032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -121, -119, -115, -109?\n\"Answer: r**2 - r - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10*d**2 - 21*d - 16. Let a be l(4). Put 1, a, 3 in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33001, 33011, 33037, 33085, 33161, 33271, 33421, 33617?\nAnswer: 33865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -40, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o - 117 + 222 - 123)*(2 - 1 + 1 + 3 - 2 - 2 + (2 + 4 - 4)*(-3 - 1 + 3) - 1 + 3 + 0) in the form s + n*o and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 17*d - 65. What is m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 16 = 4*u - w, -3*u - 2*w - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36580 take away 12?\nAnswer: -36592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 660, 2086, 4800, 9216, 15748?\n\"Answer: 69*b**3 + 23*b**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1470) - -3*sqrt(1470))*3)\/(sqrt(40)\/(sqrt(8)\/(2*sqrt(2))))*1)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 - 64. Find the common denominator of 49\/3 and (-16)\/80 + u\/180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-3)\/22) - -3. Let k = -6 - g. What is the remainder when 37 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q - 31. Let d be n(4). Let f = -239\/160 + -1\/160. Are f and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288462067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x**2 - 27483*x + 1990071. What is y(2039)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 1 + 10 - 8 to the form h + x*v**2 + j*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 5*l + 6. Suppose 6 = 2*c + w, -3*w + 8*w = 3*c + 4. Suppose -3*i + r + 3 = 14, 2 = c*i - 3*r. What is the units digit of o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:10 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 10*c**2 + 11*c - 7. Calculate s(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 13*r**2 + 9*r - 23. Let p(w) = w + 1. Let m(d) = -i(d) - 3*p(d). Suppose 29 = 5*h + 99. Let c be m(h). Is -7 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.186031 to three decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**4 - k**4 + 653 + 658 - 3*k**2 + 10*k**2 - 1352 in the form y*k**2 + l*k**4 + d + t*k + v*k**3 and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {y: 3, n: 6, a: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447520 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.0854 to one dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000111001000101001 (base 2) in base 11?\nAnswer: -9a4745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2 + 7994523*j + 3082700 with respect to j.\nAnswer: 4*j + 7994523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 350 + 1aa2?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/20 - 15*w**5\/8 - 99*w**4\/16 - 5*w**3 - 216*w**2. Factor t(x).\nAnswer: 3*(x - 20)*(x + 1)*(4*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 49. What is the least common multiple of k and (110\/(-66))\/((-5)\/12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in -4, -25\/774, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_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: Round -0.3451 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4809988437.\nAnswer: 3, 1621, 989099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -10. Round g to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5) - 21910\/(-175). Let k(x) = -x**2 + 16*x + 87. Let l be k(13). Is l >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + -0.06. Let u = 13.9 + -17.9. Sort 2\/3, p, u.\nAnswer: u, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950836 is divided by 151?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -4, 70, 4 in descending order.\nAnswer: 70, 4, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*u - 8*u + 2303, -2*u = 5*k - 11425. What are the prime factors of k?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1570 and 950.\nAnswer: 149150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 2*i**3 + 2*i**3 + (i**2 + 26*i**2 - 7*i**2)*(3*i + 0*i - 4*i) + (i**2 + 1 - 1)*(-4*i + 5*i + i) + 5*i - 5*i + 6*i**3 + i.\nAnswer: -10*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4970576 divided by 8.\nAnswer: 621322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) 2\/111 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2)*3*4))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/120 + 11*k**5\/30 - k**4\/8 - k**3 + k**2 - 5. What are the prime factors of a(-22)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 8*r - 7. Let x be n(7). Solve 3*j - b = -14, -15 = -3*b - x*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 2. Suppose 7 = -6*m - m. Let g be h(m). Solve -g*p - i = i - 16, -2*p + 14 = 3*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*s + 10. Calculate the lowest common multiple of 56 - 18\/5*185\/(-74) and s.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 185 + -184.855. Let v = h + 0.855. Let y = 106 + -744\/7. What is the second biggest value in y, v, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(-2*b**4 + 3*b**5 + 2*b**4) - 2090 - 7*b + 4187 - 2096 + 17*b**5.\nAnswer: -b**5 - 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 270.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -23. Suppose 2*n - 5 - 3 = o. Sort -2, 1\/5, n in descending order.\nAnswer: n, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490664673 + 1.\nAnswer: -490664672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 4. Suppose 0 = 2*p + 3 + 3, -2*c = x*p. Suppose 2*n + 5*k + 5 = c*n, 0 = 5*n - 5*k - 25. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/6*u**3 + 2*u - 5\/12*u**4 + 0 - 1\/10*u**5 - 1\/2*u**2. What is the remainder when 13 is divided by s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)*t)**42)**(14\/9)*(t\/(t**1\/t)*t**(2\/3))\/(t**1\/t**3) assuming t is positive.\nAnswer: t**(1427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-5) + (-24)\/(-120).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1114\/10 - (-34)\/(-85). Let j = q - 14. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-24 - -23 - (0 - -2 - -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 9*a**2 - 3*a - 11. Let l be o(7). Let d = l - 32. Let h = -24 + d. What is the least common multiple of 2 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25 + -0.15. Let d = 46 - 46.4. Which is the nearest to f? (a) -4 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:17 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/140 + 3*l**5\/10 - l**4 - 591*l**2. Factor d(v).\nAnswer: -3*v*(v - 2)**2*(v + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77062*o**3 - 1 - 77061*o**3 + 7*o + 53*o**2 + 3*o in the form u*o**2 + a*o**3 + s + i*o and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(14 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 - 41419*r**3 + 3*r**2 + 70*r.\nAnswer: -48*r - 248514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 0.004, -0.0452?\nAnswer: -0.0452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4388, -8787, -13192, -17603, -22020, -26443?\nAnswer: -30872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 4*w**3 + 0*w**3 + (3*w - 3*w + 2*w)*(6*w**2 - 2*w**2 - w**2) to the form c + q*w + y*w**3 + x*w**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 5. What is the units digit of k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.31 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f - 217. What is x(34)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(0 + 14*o + 0) - 4*o - 2*o**2 + 4*o - 3*o**2 - o**2 + 2*o**2 - 2.\nAnswer: -18*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/3, 1858.9, -9?\nAnswer: 1858.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162850302?\nAnswer: 2, 3, 823, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 2262058?\nAnswer: -2262057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(13) + -1) + ((-1*sqrt(143))\/sqrt(11) - 3*sqrt(26)\/sqrt(2)) + -1)**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 4*w**2 - w**3)*(9*w + 11*w - 3 - 26*w).\nAnswer: 6*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-124 + -3)*(0 - 3\/(-3)). Let b be h\/(-5) - (-2)\/(-5). Let t(y) = 10*y - b*y + 8*y + 9*y. Let f(w) = 2*w. Determine t(f(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16*(-1 - (-9 + 7)). Find the common denominator of 335\/4*y\/(-800) and -19\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from mml?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 78.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(1\/3)\/i)*i)*i)**(-32)\/((i*i\/(i\/i**9))\/(i**(2\/7)*i)))**(-38) assuming i is positive.\nAnswer: i**(-10070\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13564267117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39854844?\nAnswer: 2, 3, 227, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.4834 + -16.8834. Suppose 0 = -3*t + 10 - 1. What is the nearest to -23 in a, 0.4, 2\/3, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250.32*0.1\nAnswer: 25.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/(-8) - (12 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 155\/(-25) - 1\/(-5). Let f = h - -16. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2173 - 4.1304\nAnswer: 2168.8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 33\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 464459.3mm in meters?\nAnswer: 464.4593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 1. Let w be x(1). Suppose -l + w*l = 1. Let p(b) = -4*b**3 - b**2. Give p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408385 by -1.\nAnswer: 408385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -2) - (5 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - 7*d + 2*d**4 + d**2 - 21849 + 43706 - 21856 to the form c*d**4 + n*d**2 + l*d + r*d**3 + b and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1664*s**3 + 3454*s**3 - 1 - 1577*s**3 as z*s**3 + y + c*s + g*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a - 3*a + 628 = -74*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (14 - 10 - 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 16, 31, 50?\n\"Answer: 2*m**2 + 5*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/8 - 3*j**3\/2 + 24*j**2. Differentiate c(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 88*u**3 + 0 - 18*u**3 - 54*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 16*z + 57 - 38*z.\nAnswer: -22*z + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -877, 149, 2, -3 in decreasing order.\nAnswer: 149, 2, -1, -3, -5, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13113735 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/4, 654, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -10. Let s = -3605328 - -3605013.9863. Let g = d + s. Round g to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h - 1475. Let o(j) = -j**2 - 2*j + 50. Let s be o(-16). Let w = s - h. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**5 - 8834*y**3 + 53692*y**2.\nAnswer: 240*y**2 - 53004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.8 (b) -6 (c) -1\/2 (d) 2\/13 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/4 (b) 0.4 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 3. Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 337273169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9623*i**3*k**2 - 3*i**3 + 3965*i**2 + 258*i*k**2 + 3*i - 2 wrt k.\nAnswer: 19246*i**3*k + 516*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 29095.234.\nAnswer: 87285.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5120 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l**4\/l))))\/l)\/(((l*l**(-4))\/l)\/l*l)*l*l*(l*(l*(((l\/((l\/(l*l**2\/l*l))\/l))\/l)\/l)\/l)\/l)\/l*l*l**(8\/7) assuming l is positive.\nAnswer: l**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u)**(6\/7)*(u**12\/u)\/u*u**(4\/11) assuming u is positive.\nAnswer: u**(534\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18661406.\nAnswer: 2, 53, 176051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -237 + -1?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21618, -47414, -73210, -99006?\n\"Answer: -25796*i + 4178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7471\/6 - 2491\/2. What is the smallest value in 2, l, -10\/19?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f - 3*o - 6 = 0, -5*o - 10 = 0. Suppose 3*s = -f*s + 429. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 298\/67, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 23*b - 6*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1277778 - 0.06\nAnswer: -1277778.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 44*z**2 - 3*z + 27. Is 16 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4552240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 100. Suppose 6*n - q = 3*n + 2*c, 0 = -2*c - 8. Let r = 6 + -6.2. What is the biggest value in r, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 20*u**2 - 192*u + 80. Let a be k(27). What is the second biggest value in 1\/5, a, 617, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2661 is divided by 70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966536 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 - (-4 + 3). Let j be 0\/b - (-84)\/1. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 - 3.7. Which is the nearest to 2? (a) v (b) 4 (c) 11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9388, -75182, -253800, -601654, -1175156, -2030718, -3224752, -4813670?\n\"Answer: -9402*n**3 + 20*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 5546*p**3 - 9*p.\nAnswer: -5546*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*p - 178, p - 2*p = -i + 51. Calculate the common denominator of (-191590)\/(-96255) + 2\/(-31) and 194\/i*35\/(-30).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 h when four letters picked without replacement from hohhoohohhhohhhh?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12919, 12929, 12945, 12967, 12995?\n\"Answer: 3*o**2 + o + 12915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2818476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125850 and 202050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6 (c) -43 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1.1, 2\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crmew. Give prob of sequence rwm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-20))\/(5\/(-25)). Let c be (h + (15 - 7))\/(1\/(-32)). Which is greater: -31 or c?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:14 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 - -0.08. Let t(z) = z**3 - 3*z. Let n be t(4). Let c = -205\/4 + n. Sort u, 0, c in increasing order.\nAnswer: 0, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*62\/(-744)*(18 + -16)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*a + 10 = 0, 17*q - 19*q + 22 = -5*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.066 + -2.934. Which is the closest to -0.3? (a) 0 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 4*o**2 - 5*o - 15. Let j be i(-7). Suppose -125 = 6*r - j. Calculate the least common multiple of r and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + t**2 + 4*t**2 - t**2 - 4*t**2 + (-3 + 3 - t)*(18*t - 37*t + 65*t).\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*t - 222 - 264, t = 3*m - 370. Suppose 0 = -5*p - m + 729. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 876877.290661 and 0.3.\nAnswer: 876877.590661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - 71 - (18 + -3)) + 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-308)\/32*60\/(-84). Suppose 0*b = 4*b - 12. What is the second biggest value in q, -1\/4, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 7. Suppose 3*v = -4*k + 19, 0 = -2*v + v - 5*k + 10. Suppose -6*g + 20 = 2. Let z(d) = -g - 1 - 3*d + v - 4. Give 4*a(q) + 9*z(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*j - 158 - 1687. Let n = -4 - -6. Let i(t) = 7*t**2 - 3*t + 1. What is the remainder when j is divided by i(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + ((sqrt(605) + sqrt(605)*1)**2 + sqrt(605))*3 + (-1 + 1*sqrt(605))**2).\nAnswer: -31460 - 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100926 + 0.87383?\nAnswer: -2100925.12617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*v - v - 10, -5*x + 4*v + 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 60*126\/154980*164\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 3*x**2 - 7*x + 4. Let v be u(5). What is the greatest common divisor of v and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1170)\/(-910))\/(6\/(-7))*-2. Solve 0 + 4\/3*k - 1\/3*k**5 - k**c - 4\/3*k**2 + 4\/3*k**4 = 0 for k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6. Suppose 2*m + n + 15 = 0, -m - 5*n = -4*m - 3. Let x(k) = k - 14. Calculate m*x(a) - 14*g(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.7 and -1.03293.\nAnswer: -4.73293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(4*6) - 15\/8. Let y(q) = -q. Let p(m) = 4*m - 1. Calculate r*y(d) - p(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4323 times 0.07\nAnswer: 302.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111962548.\nAnswer: 2, 1093, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -274.414 - -274. Let c = v - -0.414031. Round c to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346.\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1015\/2 + 1471\/3. What is the common denominator of -25\/4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 424?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12\/13)*h**(-14))**6 assuming h is positive.\nAnswer: h**(-1164\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Let m be i(3). Suppose 0 = -4*c + j - m*j, 18 = 4*c - 5*j. What are the prime factors of (-2)\/((1\/c)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.216608 to three decimal places.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = -19*m - 1014. Calculate the highest common factor of 278 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 26*a**3 + a**2 - a + 1. Let y be f(1). Suppose 0 = -5*g + 4*t - 87, g - 3*g + 5*t = 28. Let i = y + g. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from lluslllsulsll.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. Calculate the least common multiple of 16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8270313*z**2 - 3029257*z**2 - 242645*z**2.\nAnswer: -11542215*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (598\/230*10)\/((-2)\/3)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21495400 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-7) + (-32)\/(-896)*-328\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74825632 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*c*f**2*x**3 + 136*c*f**2*x**2 - 2*c*f**2*z - 26*f**2*x**2*z - f**2*x**2 + f*x**2*z - 6570*x**3*z wrt x?\nAnswer: -186*c*f**2 - 39420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-790)\/200)\/((-21)\/24)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l - 238. Give i(-40).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 16 = 18*m - 4*x, -2*x = 3*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -218 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 1231*x**4\/2 + 1060*x - 4621. What is the first derivative of f(n) wrt n?\nAnswer: 7386*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 11*x**4 - 45*x**4 + (0*x**3 - x**3 - x**3)*(-2*x - 2 + 2) - 5*x**4 + 2*x**4 + x**4 + 6*x**4 - 3*x**4 - x**4 + 2*x**4 + x**4 - 2*x**4.\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2*1*(-28)\/(-35)*20?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-1 + 2)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -386, 475 in increasing order.\nAnswer: -386, -4, 9, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 5 = 75*x + i, 4*i = -4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-84)*-2 + (-170)\/14. Let i be (2\/10 + 1)*30\/a. Let h(g) = -23*g + 28. Is h(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 18 - -4*1. Let a(t) = -4*t + 10. Is 15 a factor of a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 52, 75, 80, 61, 12, -73?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 914 = -878. Let t = -1 + 1. Suppose 2*s = 4 - t. Calculate the greatest common divisor of c and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**4 + 125870*z**3 + 60437*z**2 - 2*z.\nAnswer: 48*z + 755220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -13\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490494, -2981022, -4471550, -5962078?\nAnswer: -7452606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 10*x + 13. Let v be h(7). Let q(i) = -i**2 - 10*i - 2. What is the units digit of q(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1958 and 1602?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*0)\/(12*(-5)\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:38 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 14*k - 102 = -5*z, -2*z + 6*z + k - 120 = -109 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -49*n**2 - 1 + 4*n + 2 - 4*n + 50*n**2. Let r(l) = l**3 - 6*l**2 - l - 5. Calculate r(k) + 6*u(k).\nAnswer: k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**2 + 39*w - 11. Give c(7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*915\/122?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -288251*i**3 - 4*i**2 + 16*i + 40. Let j be t(-2). Round j to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 - o - 1130 - 6*o**4 + 1170 - 13*o**4 + 15*o**4 as d*o + k*o**2 + q*o**3 + g + h*o**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/117150167 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1980141*g - 275329 wrt g?\nAnswer: -1980141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 3, m: 1, h: 7, o: 5}. Give prob of picking 2 h and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013020 + 11?\nAnswer: 2013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 12, j: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 - 13*i + 17. Give c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/2 + 5*b**2\/2 - b. Calculate w(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 4. Suppose 2*c - 8 = -2. Calculate j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5067731129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x - 40*x + 96 = 42*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4789024 is divided by 2394500.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69325*t**4 - t + 27077.\nAnswer: -831900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36628594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6768066?\nAnswer: 2, 3, 19, 59369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26726002\/1)\/((-30)\/(-15)). Suppose -5*i = 3*x + 3752560 - l, 0 = -2*i + 4. Suppose -3*j + 12696523 = -x. Round j to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -157401.48 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 3*f - f)*(15 - 7 + 19) in the form v*f + l and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 4*z**3 - 4*z**3)*(-12 - 37 - 2).\nAnswer: -102*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1033 - 2390*q + 1192*q + 1197*q as i + l*q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 20 = -4*p, 27*a - 22*a - 4*p - 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(4\/5)*(c**(-1\/4))**3 assuming c is positive.\nAnswer: c**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 4\/7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-8))\/((-4)\/16). Let s(n) = 4*n + 4*n - v*n. Let i(w) = 9*w - 1. Let l(j) = i(j) - 4*s(j). Differentiate l(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524282 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525390 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320 (base 7) to base 12.\nAnswer: -5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 36 = -o, -4*g + 3 = 3*o - 48. Let z be 4\/10 - o\/15. Let q(i) = -i + 1. Let d be q(-3). Put 2, z, d in descending order.\nAnswer: d, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 11:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44039 and 119936.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41184733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 8, c: 3, m: 7}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.716487 months to millennia.\nAnswer: 0.00230970725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) -0.4 (c) -3\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2266 (base 16) to base 13\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000558618 to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4112 (base 5) to base 15.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**2 + 16*x**3 + 13*x**2)*(152 - 111 - 7*x - x).\nAnswer: -128*x**4 + 656*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -r - d, 2*r - 48 = 6*d - d. Calculate the least common multiple of 21 and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, l: 2, u: 1, z: 1, v: 2}. What is prob of picking 1 v, 1 l, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*x + 128*x + 85*x + 131*x - 593*x + 113*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 446 + -359. What is the greatest common divisor of 4263 and t?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/8)\/(((24*-9)\/8)\/14)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345040 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*x - k + 57 = 345*x, 0 = 2*k - 2 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*l - 204*l - 209*l + 983*l - 9 + 3*l**2 - 209*l - 167*l.\nAnswer: 3*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 263, 639, 1165, 1841, 2667?\n\"Answer: 75*w**2 + w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - v - 11 + 2 + (7 - 7 - 8*v)*(2 - 5 + 4).\nAnswer: -9*v - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + -9. Let k = -20.2 - y. Let p be 34\/6 + 12\/(-18). Put -1, -1\/4, k, p in descending order.\nAnswer: p, k, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*c**5 - 11*c**4 + 3*c**3 - 65*c**2 + 3*c + 4 wrt c?\nAnswer: 1140*c**2 - 264*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22*l**2 + 4*l - 2. Let q(v) = -11*v**2 - 2*v + 1. Determine 5*q(c) + 3*s(c).\nAnswer: 11*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 76 = 4*j, -3*z + 969 = -460*j + 511*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -26*c - 1. Let r(d) = 26*d + 1. Let y(o) = 5*r(o) + 4*z(o). Let h(b) = 2*b**2. What is y(h(m))?\nAnswer: 52*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*k + 5*f, 11 = -5*k - f + 3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(176)*1)**2) + -1 + sqrt(44) + sqrt(44) + -2.\nAnswer: -179 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1480983*5.\nAnswer: 7404915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.2, 0, 29, 0.4, 0.3 in decreasing order.\nAnswer: 29, 1.2, 1, 0.4, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgqngggbfnbnbq. What is prob of sequence bqb?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4417890 and 2208945?\nAnswer: 4417890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**4 + 3*t**3 - 13*t**2*y - 63*t - y - 2 wrt t?\nAnswer: -48*t**2 + 18*t - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299049 and 556063.\nAnswer: 138459687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + s - 29)*(0*s + s**3 + 0*s + (0 - 1 + 0)*(0 + 2*s**3 + 0) - 867*s**2 - 5*s**3 + 867*s**2).\nAnswer: 6*s**4 + 174*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 593?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/(-264) - 0). Calculate the smallest common multiple of 20 and (3\/6)\/((-2)\/v).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - (-12)\/3) + (11 - 6). Suppose -h*j + 749 = -25. List the prime factors of j.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + 79. Let c = -103 + b. What is the remainder when 89 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.175 (b) 0.2 (c) 29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7326, -14656, -21982, -29304?\nAnswer: -36622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b2 + 15806a?\nAnswer: 157378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 10. Let s(c) = -c**3 - 3*c**2 + 5*c - 3. Calculate s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 2. Let i(h) = h**3 + 9*h**2 + 10*h + 7. Let w be i(-8). Let j(n) = -n**2 - 6*n + 28. Let a be j(w). Determine q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 29 - 19. Let c be 3*85\/(-51) - -1*(246 + -1). Calculate the highest common factor of u and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*x + 33, 43 = -4*o - x + 4*x. Let y(v) = v**2 + 10*v - 5. List the prime factors of y(o).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j**2 - 4 - 24*j**2 - 22*j**2 - 3*j**3.\nAnswer: -3*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 118904671*h**2*v + 2*h**2 + 3596*h + 5969 wrt v.\nAnswer: 118904671*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfb when three letters picked without replacement from fybyllplbyyblldddyl.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -707411?\nAnswer: -707400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74244403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/28 + 701*q**3\/14 + 1053*q**2\/7 + 8*q - 152. Let c(n) = 0. What is n?\nAnswer: -1, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42151*q - 42149*q - 19 = c, 4*c + 49 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4\/3, 2265, -5?\nAnswer: 2265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586, -651, -4002, -10523, -21270, -37299?\nAnswer: -59666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41926 - -41927. Let y(w) = w**2 + w + 5. Let c be y(0). Sort -6, c, 3, m.\nAnswer: -6, m, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1\/3*m**3 - 36*m + 33 + 11\/2*m**2. What is the first derivative of g(h) wrt h?\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 0.3, -8\/11 in descending order.\nAnswer: 0.3, 0.1, -0.1, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 + -493. Let d = -59 + v. Which is bigger: d or -41?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 + -2.8. Let n = -2.1 - r. Round n to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + -1*sqrt(77)*-5))))\/(-6*(sqrt(539) + sqrt(539)*-1) - sqrt(539)).\nAnswer: -12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 4. Let p be u(0). Suppose -p*m + 0*m + 60 = 0. Solve 0 = -7*d + 2*d - m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 3*v - 84 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + -3 + (6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125303707 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 1 - (-21 - -1 - (-5 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.84 times 5\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - o - 8 = -o - 3*o, -z + o - 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(102)\/(sqrt(54)\/(sqrt(54)\/sqrt(6))) - sqrt(204)\/(sqrt(84)\/(sqrt(7)*1)))) + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42 and -5.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4b119 (base 12) to base 9\nAnswer: 165063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*z + 4 = -243*z. Let t be z\/((-13)\/(26\/(-44))). Which is the smallest value? (a) 2\/11 (b) -13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 26. Let m be (-24)\/84 + ((-284)\/(-14) - 2). Let w be s(m). What is the derivative of -23 - 7*r**4 + 17*r**4 - 12 + w wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:54 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, 5, -2, -28, -1 in decreasing order.\nAnswer: 5, -1, -2, -28, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4 - 3146*z**3 + 55972*z**2 + 12584*z - 223920 = 0.\nAnswer: -2, 2, 18, 1555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = y + 3*p - 20, y = 2*p. Let q be y - 18 - (0\/1)\/(-2). Do q and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)\/(sqrt(12) - -2*sqrt(432)))\/(sqrt(1764)*1).\nAnswer: sqrt(7)\/182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 50048\nAnswer: -100096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, -121, -1498.\nAnswer: -1498, -121, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 1\/60*t**5 + 4*t**2 + 0*t**4 + 0 + 0*t + 2\/3*t**3. Let r(n) be the first derivative of a(n). Let h(w) = 2*w. What is r(h(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 5 = 48*v, -2*f + 37 = -6*f + v for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:15 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 44 = -12. What is the least common multiple of 14 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5243 divide 1320042007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/(p\/p**(-2\/7)*p)*(p\/(p**(-1)*p))**34)**(17\/4) assuming p is positive.\nAnswer: p**(1122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 65. Let d(u) = 2*u + 32. What is 6*a(o) + 13*d(o)?\nAnswer: 2*o + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(7\/2). Let m = 81.3 - 72.475. Let l = m - -0.175. Which is the biggest value? (a) -5 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - b - 30 + 30.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 4:58 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113322 divided by -101.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 254 = g. List the prime factors of g\/12 - (-3)\/(-12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 - q - 59. What is l(0)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 96 = t - 3*t, -6 = 3*t. Let a = h - 2. Find the first derivative of -3*l**4 + 21*l - a*l + 1 wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s - 1 - 4*s - 2*s**2 + 3*s + (3*s + 0*s - 4*s)*(6*s + 4*s - 4*s).\nAnswer: -8*s**2 - 12*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24375 and 53\/11070.\nAnswer: 17988750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*k = 279*k - 44 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = -14. Let n = d - -3. Let o(i) = n*i + 2 - 4*i - 2. Let u(k) = -2*k**2. Determine o(u(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (11 + 2 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3487a97 - 50?\nAnswer: -3487b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99377*j - 97982*j = -107415 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 826004\/14 - 2\/7. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.85120961 rounded to three decimal places?\nAnswer: 2.851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56, 4, 94, 208, 340, 484?\n\"Answer: -m**3 + 21*m**2 + 4*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/260)\/(24\/(-10820)). Let m = w - 41\/4. Which is the closest to 1\/4? (a) -0.1 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 12 + 6 + 2*b**2 as k + s*b**2 + h*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 45*z + 4 = 42*z, -16*z = -3*k - 21*z - 58 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + -19 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g - 600 = 0. Let r(i) = 13*i - 13. Let c be r(5). Suppose 2*u = j - c, 0 = 5*j - 3*u - 124 - g. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcvvwvgpwcwcvgvgg. Give prob of sequence gcvg.\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-27)*a)\/a*a)\/a)**48 assuming a is positive.\nAnswer: a**(-1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 0*s)*(2*s + s - 2*s)*(11 + 15 + 4 + 21)*(-2 + 2 - 5*s).\nAnswer: -510*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 61*i**2 - 33*i + 94. Suppose -3*o = -3*v + 102, -5*v - 2*o + 0*o = -142. Let c be b(v). Solve -2*n - 30 = c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192843968?\nAnswer: 2, 29, 103903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/(-7) + 6 + (-280)\/49. Let x = 5 - 2. Let v = a + x. Let d(q) = -2*q**2 + 2*q + 2. Let f(z) = -8*z**2 + 9*z + 8. Give v*f(r) + 9*d(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12.1876*-2\nAnswer: -24.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 15*h - 41*h + 14 + 14*h + 11*h.\nAnswer: -h + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*f*u - 41692*d*f + 3*d*u - 291706*d - 36*f*u wrt f?\nAnswer: -d*u - 41692*d - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25584157?\nAnswer: 2843, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z + 48*z - 23*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5*x - 9)*(-x**4 + 0*x**4 + 3*x**4) + (0 - 3 + 1)*(-x + x - x**5).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 14 = -2*i, 2*i + 2*o = o + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (89\/4)\/((168\/12)\/(-56)). Which is bigger: -85 or b?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from whhhhwhhwhhhhh?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**2 + 2909333*h + 32*h**2 - 2909325*h.\nAnswer: -3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 1, -5, -1 in increasing order.\nAnswer: -125, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -19\/3209429?\nAnswer: -19\/3209429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137075 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9337.992469 + 9338. Round l to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1430*d + 419. Determine z(0).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -871 in 0.1, 5, 4, 0, 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, b: 1, d: 5, o: 6, t: 1}. What is prob of sequence td?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 173, 259, 345?\n\"Answer: 86*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-25) + (-2)\/(-5). Suppose -2*g - 213 = 3*b, -104 = g - h*b + 3*b. Let m = g + 100. Solve 4*i + 5*o - 17 = 0, 4*o = 2*i - 1 - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2*x**2 - 2*x**2)*(-7*x - 5*x + 2*x + 0*x + 5*x - x + (2 - 1 - 2)*(-3*x - 2*x + 4*x)).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(63)*4)**2 + sqrt(63)).\nAnswer: -6048 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1) - (21 + -26). Suppose 0 = -41*u + 46*u + k. Let t = 0.05 + 0.25. Put u, -0.1, t in decreasing order.\nAnswer: t, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and -71\/15900.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - d + 68239 = 0, -46*s = -49*s - 2*d + 68237. List the prime factors of s.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let n = -136 - -142. Differentiate g**3 + n - u*g**3 - 3 + 0 wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 12769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m + 2*m**3 - 29*m + 26*m**3 - 13*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373\/102 + -23\/6. Let n = -1623\/340 + k. Find the common denominator of n and -65\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087800, 2175602, 3263404, 4351206?\nAnswer: 5439008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 549041901 and 5.\nAnswer: 2745209505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 34. Let v(k) = -3*k**2 + 10*k**m - 8*k**2 - k**2. Let b(s) = -s**2. Calculate b(v(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftjt when four letters picked without replacement from {t: 2, d: 1, j: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -1306.1?\nAnswer: -1306.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246*k**2 + 3*k**3 - 4*k**3 - 31110*k**2.\nAnswer: -k**3 - 29864*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 9 - 7) + 6 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.1 and 3881.081?\nAnswer: 3877.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-826)\/59*(-1)\/14)\/(1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 11*j - 5*j + 5*j - 4*j**2 to x*j**2 + g + f*j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 645*n - 4234. Is l(81) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*v**3 - 5\/2*v**2 + 0 + 0*v.\nAnswer: v**2*(v - 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5\/2, -3, 22534?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -76, -115, -154, -193, -232?\n\"Answer: -39*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62092943 - -32901143. What is w rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -3*s**2\/2 + 6*s + 1. Let u(v) = 1. Determine -d(n) + 6*u(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-75))\/((-1)\/5). Let t = 0.94 - 3.94. Let i(b) = b**3 + 15*b**2 + 16*b + 30. Let x be i(-14). What is the second biggest value in p, t, -2, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114736687?\nAnswer: 13, 19, 464521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.315656l?\nAnswer: 4315.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 17 in decreasing order.\nAnswer: 17, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 21*a**2 - 21*a + 26. Let j be x(-22). Solve -3*u - 2*u - 32 = j*n, 0 = -u + 5*n + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/15 + (-26)\/(-6). Suppose 0 = -2*y - k, 0 = -2*d - d - 3*y - 6. Suppose -2*m + 8 + 26 = d. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3602 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 11 + 11)*(-3*i**2 - 1 + 1) + 7*i**5 + 0*i**5 - i**5 - 2*i**5 + i**5 - i**5.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101211330 (base 5) to base 11.\nAnswer: -262604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (18 - 1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 2268*h**2 + 4560*h - 18176.\nAnswer: -2*(h - 1136)*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*j + 34, 4*d + 4*j - 2*j - 28 = 0. Let s be (20\/(-8))\/(1\/2). Put d, s, -2 in decreasing order.\nAnswer: d, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4824590 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56083*n**2 - n - 29015.\nAnswer: 112166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) 2\/3 (d) -294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b - 67*b = -1, -2*b - 11 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -570 (b) -1\/12 (c) -415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.139046642 to four decimal places.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 26*t**2 - 15*t - 6. Let f be w(-7). Calculate the highest common divisor of 113 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3794, 11636, 19478, 27320?\n\"Answer: 7842*x - 4048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9 = 7, -3*x - 7 = -2*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 45114.\nAnswer: 45118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - q + 160 = 0, 3*q = -0*h + 4*h - 300. Suppose -g + h = -3*g. Let c = g - -71. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 569 (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*v**3 + 2*v**2 - 859*v + 13911?\nAnswer: -21*v**2 + 4*v - 859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/811 (b) 3 (c) -7 (d) 4 (e) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 664645 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (0 + sqrt(180) + 5)) + sqrt(180) + -3*sqrt(180) + sqrt(180) + 5)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9881642.6 to the nearest ten thousand.\nAnswer: -9880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 + -6. Let s = -401 + t. Calculate the remainder when 102 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuubuuuuuw. What is prob of sequence wbu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 740271 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 j when three letters picked without replacement from {e: 2, j: 2, g: 2, i: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -394*f**2 + 663*f**2 - 399*f**2 as m*f + s + h*f**2 and give h.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/1)\/((-14)\/(-795550)). Round o to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/59 - -2936\/1593. Calculate the common denominator of v and -13\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76614132 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6.8. Let z = k - 1. What is the nearest to 0.1 in z, 1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = 5*x, 0 = 5*x - 2*x + 5*m - 2. Let d = -21 + 25. Suppose -3*j = 4*q - 27, -3*q - d*j = -0*q - 29. Put q, x, 0 in descending order.\nAnswer: x, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2a284 - -5?\nAnswer: -1a2a27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - x - 16, -4*x = -5*q - 2*x + 12. Suppose q*p = p + 3, r - 101 = 4*p. Suppose 0 = 7*u - 3*u - 60. What is the highest common divisor of r and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*(1 - -481*18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d. Let y(s) = 5*s + 10. Give k(y(t)).\nAnswer: 55*t + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 - (-4 - (-15 + -1 - -10))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 23. Let t(b) = 6*b**2 - 408*b + b**3 + 2*b**3 + 0*b**3 + 400*b + 10 - n*b**3. What is t(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 2*n + 4. Let p be v(3). Calculate the remainder when 65\/1*p\/35 is divided by 19 - (-2 + (-3)\/(-1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 7. Suppose 0*j = 4*n + j - 4, -8 = 2*j. Let f(b) = -n + 2*b - 2*b - b - 2. Suppose -7 = 2*h - 19. Determine h*v(k) + 11*f(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 73*i**2 - 68)*(17 - 17 + 14*i).\nAnswer: -1022*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3088 (base 14) to base 11\nAnswer: -6303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 - 4*k + (3*k - 5*k + 0*k)*(-3 - 5 + 6) - 8917*k - 6782*k + 14012*k to the form c*k + x and give c.\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 254592313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9860064 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 16 = 0. Suppose -l*v + 2*v + 126 = 0. Let o = v + -59. Solve -6*a + 2*a = -3*x + 12, -x + o = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, and 1 i when three letters picked without replacement from ikyqr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116565*y**3 + 267220*y**2 + 184745*y + 34090.\nAnswer: 5*(y + 1)**2*(23313*y + 6818)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96653927.\nAnswer: 53, 1823659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 12. What is y(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.1 - -27. What is the closest to o in -3, -30, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 8*l - 5. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.1. Let t = -0.5 - l. Let m(y) = y**3 + 15*y**2 - 15*y + 21. Let r be m(-16). What is the closest to t in 0, r, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (1 - (-6 - -18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ffffffsssffssssszz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g + 3. Let h(x) be the second derivative of 3*x**3\/2 + x**2\/2 + 2*x - 541. Calculate 4*a(d) - 9*h(d).\nAnswer: -5*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -309 + 307. Which is the fourth smallest value? (a) y (b) -3 (c) -2\/5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2. Let l = -25 + 27. Let o(n) be the second derivative of -1\/3*n**3 + 0 + 0*n**l - n. Give v(o(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 61 in descending order.\nAnswer: 61, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315069498 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 35*m**2 - 18*m + 9. What is r(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 - -0.15. Let i be 1\/(15\/9 + 0). Which is the nearest to f? (a) -1 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22656 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*u - 98*u - 26*u)*(12*u - 15*u + 31*u)*(u - 1 + 1) to the form r*u**2 + n*u + o + s*u**3 and give s.\nAnswer: -2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13349 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 3110.3?\nAnswer: -4043.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-25))\/((-14812)\/5290).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4288 and 631656.\nAnswer: 338567616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 5\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-2) + (-2 - 0 - -5). Let u be 2848 + 4*-1 + 2. Is 0 - u*(-5)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t. Let g be m(5). Suppose 2*b - 6*b + 8 = 2*k, 5*k + g = 0. Let s be 3\/6*-2*b. Is -3 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -29 + -46 + (3 - (2 + -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10229612431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2\/7 (b) -238 (c) -4 (d) -1\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 3*d. Let h = 33 - 35. Determine x(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(1\/(-3)). Let c(n) = -2*n - 3. Let a be c(-4). Let q = 0 + a. Put x, q, -1 in descending order.\nAnswer: q, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -42. Suppose -2*v = -2*p + r - 143, 4*p + 225 = -3*v. What is the common denominator of (-2)\/(-12) + (-251)\/p and 15\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 + 10*l**3\/3 + 4*l**2 - 9*l - 4. Let c be n(-9). Suppose -2*f + 5*f - 3 = c. Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 10, m: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.4, -12619, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 83. Let o(v) = -845*v**2 + 72*v. Give x(o(c)).\nAnswer: 845*c**2 - 72*c + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(9\/30)*-1. Let m(g) = g**3 - 3*g**2 - 5*g + 5. Let j be m(5). What is the greatest common factor of d and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/54301?\nAnswer: 3\/54301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 4*y**2 - 4*y + 3. Let v be 1\/((-2)\/(0 + -2)). Let i(c) = 1. Let j(m) = v*f(m) - 4*i(m). Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -40. Calculate the remainder when 9 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s + 12. List the prime factors of k(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 - 48*d**2 - 47*d - 15. Give u(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 203100 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 j when three letters picked without replacement from qljrler.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5803 - -9743. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 130, 0.2, 2, -2, 5, 1435?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -ec9 (base 15) to base 8\nAnswer: -6413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**4\/7 - 779*k**3\/7 - 4191*k**2\/7 + 779*k\/7 + 598 = 0.\nAnswer: -26\/5, -1, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + (-4)\/(-3). Let x = f + -1. Let w(g) = -3*g + 4 - 11*g - g**2 + 17*g - 2*g. Determine w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4566.8 and -63952.\nAnswer: -68518.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-95)\/130)\/19)\/(5\/(-20))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24872 is divided by 311?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 80 = -4*r, -335*r + 332*r = 19*v - 126 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -188*v + 766. Determine r(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-60))\/(1\/(-5)). Let r(f) be the third derivative of 7*f**5\/30 + f**4\/12 - f**3\/6 - f**2. Is r(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 + 1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 105, 2\/21, -122, 4, 0, -2?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (119*(-72)\/(-378))\/(2\/6). Let t(l) = l**3 - l + 66. Let b be t(0). Is b less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17308 is divided by 129.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - (-6)\/10. Let k(a) = 2*a**3 - 5*a**2 - 402*a + 18. Let c be k(-13). Solve 24 + d = -c*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -14 (c) -450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/3 + 35672*g\/3 + 5698334 = 0.\nAnswer: -467, 18303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -46 - 34. Let j(t) = -5760*t - 253. Is j(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -26.115\nAnswer: 26.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 53*f - 366. Calculate n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -488 + 494. Let j(l) = -l + 7. Let v be j(5). Solve -v = 4*r + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 837*j**4*l + 2*j**4 + 3*j*l - 22*j - 6*l - 1 wrt j.\nAnswer: 10044*j**2*l + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316856669?\nAnswer: 316856669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1061 divided by -39\nAnswer: 1061\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4*g + 5. Suppose -b + 4 - 1 = 0. Suppose 5*j + 3 = 2*c, -3*j = b*c - 0*c - 57. Calculate the remainder when c is divided by f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0 = 2*s - 10, -4*s = 4. Suppose 0 = -n*d - 89 + 287. What is the lowest common multiple of 20 and (-4)\/(-3)*d\/4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*s - 158*s + 20393 = 353593. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-140))\/((-17)\/((-510)\/(-20)) + 14\/30).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b**4 + 31*b**4 + 8*b**4 - 10 + 10 + 5*b**4 + (-2*b + b - b)*(1 - 1 - b**3) - 2*b**2 + 2*b**2 + 2*b**4 + b**2 - b**2 + 4*b**4.\nAnswer: 43*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 616 = 26*k. Let h = k + 198. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 15. Let j(x) = -6*x**2. Let w(s) = 5 - 5 - 21*s**2 + 20*s**2. Let n(g) = -j(g) + 3*w(g). Calculate k(n(p)).\nAnswer: 3*p**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.165495 - -0.3.\nAnswer: -1.865495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 16. Let b be (-14)\/(-3) + 4\/(-6). Suppose 23 = 2*q + o, 3*q - x*q - 2*o = b. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2159 in -30, 1, 1\/278?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 3*b + 5*b + (-406 + 63 + 151)*(-46 + 49 + 33)*(3*b - 2*b + 0*b) to l + r*b and give r.\nAnswer: -6911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188 + 212. Let g be (120\/m)\/((-6)\/(-10)). Sort 5, 1\/19, g.\nAnswer: 1\/19, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-100)\/(-70))\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17640 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5909, 5656, 5361, 5018, 4621, 4164, 3641?\n\"Answer: -a**3 - 15*a**2 - 201*a + 6126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -74, -113, -152?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*u**2 + 21*u**3 - 1 - u**2 + 1 wrt u?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/312)\/((-32)\/(-208)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6494645*j - 8391971 wrt j?\nAnswer: 6494645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191200910 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203869 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 12*x = -87, -5*f + 7 = 443066*x - 443065*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 2*i - 16, -5*m + 21 = 5*i - 19 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155862683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0, -2\/3, -5, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*t + 9*t**2 + 55*t - 61*t**2.\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026486 rounded to 7 decimal places?\nAnswer: -0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*o + 181*o - 24 + 28 + 279*o + 16*o as y*o + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3 + 25. Let n(s) = 1 + 4*s + 4*s**3 + s**2 + 0*s**3 + 5*s - q*s. Let m be n(-1). Let h(t) = t + 7. What is h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = u, -u = -4*z + 1 + 2. Suppose 0 = 2*j - 2*i - 20, -5*j - 4*i - i = -70. Solve z*p - 6*p = j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = -4*z, 5*z + 3*h + 41 - 37 = 0. Which is the nearest to z? (a) -4\/7 (b) -0.01 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1 - (-202 - -7)\/(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 231442842?\nAnswer: 231442842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002835579874 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - sqrt(14))*-6)\/sqrt(7).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21148.11736 and 13623?\nAnswer: 7525.11736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1515825 or -1515822?\nAnswer: -1515825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 3118.59 (c) 0.5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67843.13 centuries in years?\nAnswer: 6784313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17168368961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22764 + 0.2423725. Let v = -0.47 + r. Round v to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7 = 3*u + 3, -4*u + 2*w + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:26 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2)*m**(-1\/8)*((m*m**(2\/3))\/m)**(-1\/12) assuming m is positive.\nAnswer: m**(203\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -37*z**2 + z + 2. Let y = -2 - -1. What is g(y)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 3:48 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = -4*d, 4*d = 12 + 4. Solve -2*l = -k*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -0.12, -0.3, -2\/9, 1, -23?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -116*h - 30. Let u(f) = 4. Calculate g(i) + 7*u(i).\nAnswer: -116*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*t + 11*t - 3*t**3)*(-1 + 2 - 2)*(0 + 5 - 2) to the form r*t**2 + a + u*t + q*t**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142323*i**5 - 899*i**3 - 441438834*i**2.\nAnswer: -8539380*i**2 - 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1862930, -1862914, -1862898, -1862882, -1862866?\n\"Answer: 16*z - 1862946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8*l**5\/17 + 602*l**4\/17 - 16562*l**3\/17 + 191394*l**2\/17 - 648270*l\/17 - 1815156\/17 = 0.\nAnswer: -7\/4, 14, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.899783 months in years?\nAnswer: 1.65831525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y + 15*y**2 - 6 - y - 3 - 11. What is the hundreds digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2230\/9 + -248. Let x(l) = 31*l - 9. Let w be x(-2). Let y = w - -76. Which is the third smallest value? (a) 3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 1}. Give prob of sequence hj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4635333.\nAnswer: 3, 171679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 37, 45?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/153 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(-4\/7) assuming x is positive.\nAnswer: x**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -3205.3720777.\nAnswer: -3205.3220777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1 + 0)*1. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197\/3 - 65. Let x = -13\/5 + 34\/15. Which is the closest to x? (a) 0.2 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -35. Suppose -4*o - 7 = 3*a - 58, -5*a - 3*o + 96 = 0. What is the second derivative of a*z**2 + 14*z**3 - 17*z - s*z**2 - 7*z**3 wrt z?\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4060248 + 2?\nAnswer: 4060251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/10 and -50\/1252243.\nAnswer: 12522430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -460 + 460. Solve -4*p + d - 11 = i, -3*p - 18 = -5*d + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -28. Let n be 3*(2\/o - 0). Sort 2, n, -4 in increasing order.\nAnswer: -4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 80 = 27*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(-7*c + 2*c + 4*c) + 69*c - 69*c + 1 - 6*c**2.\nAnswer: -8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -944*k**2 - 6 - 996*k**2 + 1779*k**2 to the form l*k + a + t*k**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/35 + 14\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.46 (b) 89 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**7\/210 + d**6\/90 - d**5\/15 - 10*d**3\/3 + 9. Let z(x) be the third derivative of s(x). Let z(a) = 0. Calculate a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*v**2 - 20121*v + 1548 = 0. Calculate v.\nAnswer: -516, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -420*m**4 + 2*m**2 - 1933 wrt m?\nAnswer: -1680*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -2 (b) 3 (c) 0 (d) 12\/589 (e) 0.1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 173. Suppose 4*r = 5*p + 142, 2*r - p = -r + i. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 1 (c) -5\/4 (d) 1698 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13257*v - 6271. Let f(z) = -6629*z - 3109. Let o(l) = 7*f(l) - 4*u(l). Find the first derivative of o(b) wrt b.\nAnswer: 6625","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 2. Let z(x) = -52*x**2 - 965*x. Give m(z(u)).\nAnswer: 208*u**2 + 3860*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 172*v**2 - 1615*v - 654. What is f(162)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047 < -18.9963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -406730.3 and 26?\nAnswer: 406756.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 8*a**2 - 9*a - 5. Let c be t(-2). Solve -4*b + 24 = -3*j + 16, 3*j + c*b = -17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bddy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 3538361*v - 3538361*v - 10*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92313, 182005, 271697?\n\"Answer: 89692*p + 2621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 - 48. Suppose -3*j = -3*m + 8 - h, 0 = -j - m + 3. Let u(b) = 8*b + 8. Let q be u(4). What is the highest common factor of j and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1742*v**2 - 1741*v**2 - 13*v - 2 + 0 to h*v**2 + a*v + m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1*-1)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 10*u + 56 = -6*h, 347 = 2*h - 2*u + 343 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-241)\/(-5)) + (36150\/750 - 47)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 - 11*g - 5. Suppose 671 = 10*n + 51*n. What is the remainder when j(10) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let w = 11.209 + -8.209. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*x**4 - 25*x**3 - 4*x**2 + 5*x - 786397?\nAnswer: 200*x**3 - 75*x**2 - 8*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 14. Calculate m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -3*f - 36 = -3*v, 2*v = -57*f + 61*f + 38. Which is the fourth biggest value? (a) v (b) -1 (c) z (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 1.7. Suppose -3*j + 17 = y - 6, -2*y + 28 = 3*j. Let r be ((-16)\/j - -2)\/(-1). What is the nearest to r in 0.1, -4, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1585035818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 24 - 60. Let d(j) = j**3 + 12*j**2 - 6. Is d(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*t*t\/(t\/((t*t**(-9\/5))\/t)))*t*t)\/t)\/t)\/(t\/(t*t**13)))**(5\/7)*((t**(2\/7))**(2\/25))**(-4\/11) assuming t is positive.\nAnswer: t**(18959\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 680, -285 in descending order.\nAnswer: 680, 2, -1, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 75 - 37 = 0. What is the units digit of (-5)\/(-2)*z\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 47239332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-5 - 0) + -3 + 14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023709?\nAnswer: 59, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*y + 5, -6*v + 10 = -4*v + y. Suppose 5*j = -v*w + 11132, 7*w = 4*w - j + 11128. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/48 - (-5)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-5 - -12) - -2. Solve 353*d**2 + u*d**3 - 355*d**2 - d**3 + 0*d**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 7*c**2 + 6*c + 7. Determine m(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 16*x**2 - 3*x + 6. Let n be p(-8). What is the hundreds digit of (-6)\/n + 5\/(50\/6192)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 2)*(-7 + 5 - 1) + 0 - 4 + 2)*(-19*d + 3 - 3) to y*d + j and give y.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 + -73. What is the remainder when h is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 935630447*w + 9 + 935630449*w.\nAnswer: 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 5*a. Let n = -5422 + 5420. Let c(d) = -d**2 + 4*d. Give n*i(g) + 3*c(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006924 to five dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9 + 50*z - 53*z + 2 + z**2. Let h be f(5). What is the second derivative of -5*k**3 + 6*k**3 + 0*k**3 - h*k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:14 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/(-46) - 2\/(-4)*2. Which is bigger: m or -2\/1983?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46148763 by -15382921.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 501539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9956 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307788302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 1.3?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 5 - 5)*(-1 + 1 + 2)*(50 + 24 + 15) + f**2 - f**5 - f**2 + (2*f**4 + 4*f**4 - 5*f**4)*(-2*f - 2*f + 3*f).\nAnswer: -180*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) -4.2 (c) 0.4 (d) 5 (e) -2 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*sqrt(76) - sqrt(76)) + sqrt(76) - (sqrt(76) - (sqrt(76) + -3*sqrt(76)*1)))\/((sqrt(576) - (sqrt(576)*-1 + sqrt(576)) - sqrt(4))*-6).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, v: 1, z: 2}. What is prob of sequence av?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/4 - 17*x**2\/4 + 37*x\/2 - 22 = 0.\nAnswer: 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3529481946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-33)\/l**(-1\/15))**28 assuming l is positive.\nAnswer: l**(-13832\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 2*q - 3. Let c be i(-3). Let o = 94 + c. Let k = o - -1. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*w - 11*w + 97*w - 40*w.\nAnswer: 160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 4225945?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 155. What is the least common multiple of (-2)\/5 + (-312)\/(-30) and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + (-1 - -4 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 - 129*b + 2297. What is x(12)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/(16\/(-2) + (1 - 4)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/4 + 39\/52. Suppose -5*m = -a - 95. Suppose -2*y = -3*c - 1 - m, 2*y + c = 16. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 315*j**2 - 28*j + 15. Let g(x) = -157*x**2 + 16*x - 8. Determine -7*g(u) - 4*q(u).\nAnswer: -161*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/15, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 - -217. Solve 4*v = -m*a - 0*v - 8, -10 = 5*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 - 972*a**3\/5 - 39824*a**2\/5.\nAnswer: 2*a**2*(a - 524)*(a + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*v = 29235 + 1720, 154866 = 5*s + 2*v. What is the highest common divisor of s and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(a + 0*a - 3*a)*(-a - 5*a + 3*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.1? (a) -0.3 (b) -8\/5 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Solve -j*h - 5 = -15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 311173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296 + 301. Solve -t*w + 8*w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s + 78 - 1266 - 3434 = 2314 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**3 + 71*w**3 - 24*w**3 - 15*w**3 - 12*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*v + 2*n, -n + 20 = 4*v - 38. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 3. Let z be x(-3). Does 7 divide (z - -6)*(0 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 1. Let x(w) = 3*w**2 - 6. Let s(l) = -6*a(l) - x(l). What is s(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1491 and 46079.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0083622 to 4 dps.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 1514\/55?\nAnswer: 1514\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, 0.2, -19\/5 in increasing order.\nAnswer: -19\/5, -2, 0, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -30. Suppose w = 1, 0*w = -j*a - 2*w + 12. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 315*c - 308*c. Let o = -7 + 9. Suppose 0 = o*y + 8, -f - 18 = 5*y + 19. Put 2, c, f in descending order.\nAnswer: 2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(4 - 4 + 3*n) + (3 - 3 - n)*(5 - 4 + 0) + (2 - 2 + n)*(-5 + 1 + 5).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 64\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1, 0, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/(-3)*1\/(-5)*(-1125)\/(-300).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 25.87. What is the second smallest value in f, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -92*y**3 + 3856*y**2 - 40236*y - 3528 = 0.\nAnswer: -2\/23, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + q**2 + (-2 - 1 + 2)*(18*q**2 - 42*q**2 + 26*q**2) as n + y*q**2 + g*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 18 = -14*z. Let c(w) be the third derivative of 0*w**5 + 0*w**6 + 0*w**z + 0*w + 0*w**7 + 0*w**4 + 1\/168*w**8 + 0 - 4*w**2. Factor c(t).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 4, r: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.837296179 + -315958.\nAnswer: -315957.162703821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/5, 0.5, 0.46.\nAnswer: -5, 0.46, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*j - 4, -4*j + 27 = -0*j + 3*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*x = 67*x + 157*x - 232*x + 3959 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98434 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031071 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1884\/23 - -82. What is the closest to -2 in r, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 11.4, 5, 19, -0.2302?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from tdjxjtjttjxgdj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -39*q + 484. Solve q*p = 1 + 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-60)\/(-8)))\/(36\/(-24)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9209*m - 9214*m + 145 = 4*l, 29 = 6*l + m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 5*x**2 - 2*x**2)*(-10*x**3 - 12*x**2 + 12*x**2 + (-5*x**2 + x**2 + 3*x**2)*(2 + x - 2)).\nAnswer: -11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -8, -5 in ascending order.\nAnswer: -8, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(2)) + -1.\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i. Suppose 32 = -4*r - 0*r. Let b(h) = 5*h. Suppose -2*z + 0 = -6. Give r*b(c) + z*f(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, j: 1, m: 1, i: 1, n: 2}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4593612 is divided by 1148396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.1, -2, 0.4082, 6\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8791420 divided by 9878\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14454315*p**3 + 34880297*p wrt p.\nAnswer: -86725890*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -51. Which is the third smallest value? (a) -4 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-122)\/(-5) + 12\/(-30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)*(-2)\/(-4). Suppose 1336*a - 11008 = -1416*a. What is the closest to a in -1, p, 10, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v - 3*v - 2*v + (3 - 3 + 1)*(-3*v - 5*v + 5*v) + 505*v + 1117*v + 1602*v.\nAnswer: 3223*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7557399?\nAnswer: 3, 67, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*w - 3*w + 10, 8 = -2*w + 3*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2645\/84018 - -9\/418. Let z = -381\/134 - n. Let f = 13\/3 + z. Which is the third biggest value? (a) f (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/30 + 126\/(-5). Let h = -46 - u. What is the tens digit of (-363)\/h - 6\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131106 is divided by 216?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x - 45. Suppose -6*z = -3*z + 5*o - 180, 5*z - 5*o = 260. Let j = z + x. What is the highest common factor of 414 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 38420830?\nAnswer: 1\/2744345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:08 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h + 102*h = -3*a - 5, -h + 6 = 2*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 2?\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 176 = 4*v + 2*h, -188 = -3*v - 5*h. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 11*l - 15. Let o = 4 - 13. Let y be k(o). Is y\/(3 + 0)*71 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/2387? (a) 1 (b) 3\/7 (c) -0.3 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 times -12.2575?\nAnswer: 8445.4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3505*l. Let w(a) = 4*a**2. Calculate w(j(f)).\nAnswer: 49140100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1769, 3, 1.\nAnswer: 1, 3, 1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**3\/3 + f**2\/2 - 1094. Let j = -23 + 35. Let w be 6\/(-4)*16\/j. Calculate y(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069977 rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -109, -111, -113?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 935249*z**4 + 914197*z**2?\nAnswer: 22445976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3422 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -10661?\nAnswer: -10551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 114 + 5*f**2 - 224 - 388.\nAnswer: 3*f**3 + 5*f**2 - 498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45567, -91064, -136571, -182094, -227639, -273212?\nAnswer: -318819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338261?\nAnswer: 3, 446087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 74 = 89 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-1) + 31)\/((-3)\/(-3)). Suppose -5*p - 3*r = -2*p - j, 3*p - r - 33 = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3) + 6 + 2. Let k(h) = h**2 - 17*h + 6. Let s be k(19). Let m be 209\/s + 2\/8. Does m = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/364)\/(-1*8\/16)*16\/(-264)?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36381 and 33?\nAnswer: 400191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 41*o**2 - 45*o - 257. Let v be b(83). Round v to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1427898966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 36103077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 - 5*c - 12. Let j be k(8). Let t = 334 + j. Calculate the remainder when t is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 13*i**2 + 11*i - 10. Let d be c(-12). Solve -2*s = -3*u + 9, -3*u - d*u = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74617.611 + 74614.4109999. Let p = 3.2 + n. Round p to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 6273111*p - 25092396 = 0.\nAnswer: 4, 2091033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1495.1 + -1413. What is z rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 3}. What is prob of sequence dfdd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 11071551.\nAnswer: -11071551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12106852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 143.3 at least -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-23787.\nAnswer: -6898.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85220103785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let b(a) = 9*a + 17*a + 5 - 7*a. Let j(i) = 105*i + 28. Let h(z) = -28*b(z) + 5*j(z). Calculate n(h(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 2*v**2 - 1. Let t(u) = -7*u**3 - 5*u**2 - u + 1. Let b(i) = -5*r(i) - 3*t(i). Let q be b(-5). Let j = q - -28. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(126))\/(sqrt(90)\/(sqrt(10)*-1) - sqrt(9)))\/(sqrt(4)\/sqrt(162) - (sqrt(112)\/sqrt(7))\/sqrt(8)).\nAnswer: -27*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*q**3 - 21207*q**2 + 5352495*q + 765075 = 0. What is q?\nAnswer: -1\/7, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.00304 and 320?\nAnswer: -0.9728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/15)*s*s*s*(s**(-2\/7)*s)\/s*s*s*s)\/(s**1*s\/(((s\/((s**(-3\/10)\/s)\/s))\/s)\/s)*s) assuming s is positive.\nAnswer: s**(829\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4391245 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 137231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 172. Calculate the remainder when h(39) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17881.9 - -17882. Which is smaller: -0.05667 or t?\nAnswer: -0.05667","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 297715.\nAnswer: -1190860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = i - 52, -3*i - 40 = -2*d. Suppose b = -d + 29. Let u be (-64 + 100)*2\/(8\/3). What is the highest common divisor of u and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**3 + 4*m**2 + 46*m + 294. What is the hundreds digit of d(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 5*k + 9. Let o(y) = y**3 + 5*y**2 - 3*y - 7. Let b be o(-5). Suppose 4*i - 3*r + 31 = -b*r, 3 = -r. What is the tens digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4301 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 282528343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 z when three letters picked without replacement from {z: 3, d: 7, o: 4}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let q(z) = 60771*z - 431. Let w(g) = 422*g - 3. Let m(c) = -3*q(c) + 431*w(c). Calculate m(k(n)).\nAnswer: 431*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4120, -17383, -39500, -70471, -110296?\nAnswer: -158975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35367 - (5 - 4 - (2 + 0)). Suppose 0*h = -8*h + t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 + (-26 - (-29 + (12 - 0) - -4)) - 10\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x - 8. Let k be ((-11)\/((-11)\/6))\/(-1). Let q be f(k). Suppose -5*d - 224 = -4*h, q*d - d = -3*h + 141. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573\/(-1337)*1\/(-6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -18.9\nAnswer: 5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 805 or 3\/22?\nAnswer: 805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 13 = -3*t - 26*p, 4*t = -0*t - 6*p + 3*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*s + 365 = 0, 5*s - 2176 + 750 = 4*r. Let f = r - -583. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27697 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**4*v)*v\/(v\/v**(-1\/13)))**(8\/3) assuming v is positive.\nAnswer: v**(-632\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 2*n**2 - 2*n**4 + 8 + n**3 - 6 - 8*n to b + l*n**3 + w*n**2 + g*n + p*n**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 - (-3 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/23368 and -17\/529?\nAnswer: 537464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.17 - -9.47. Let z(y) = -y**3 - 5*y**2 + 7*y + 5. Let v be z(-6). Which is the closest to 1? (a) 1 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (15 - 8))\/(-12 + (-1551)\/(-66))?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1784 and 39\/6400100?\nAnswer: 12800200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/160056 and -115\/35568.\nAnswer: 320112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 2*o + 509 = -16*g, -3*o + 403 = 4*g. Find the first derivative of -2213 + g*i**3 + 1147 + 1144 wrt i.\nAnswer: 309*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 80. Let r be u(0). Suppose y + r = 5*q, 0*y = 4*q - 2*y - 64. Let w = q + -7. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 4*h + 1. Let v(k) = 2*k**2 - 5*k + 2. Let w(c) = 4*c**2 - 9*c + 3. Let m(t) = -5*v(t) + 3*w(t). Let a be m(2). Determine i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**3 - 2813*l**2 + 86*l - 23137. Calculate f(-201).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181516\/9*i**2 - 1936\/9 - 32296\/9*i - 60016\/9*i**4 - 2662\/9*i**5 - 354310\/9*i**3 = 0.\nAnswer: -11, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50971156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*t - 1116 = 168*t - 75*t + 690 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -782, -1044, -1306?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.21 + 0.21. Let j = 0.07 + -0.07. What is the nearest to j in -0.5, s, -6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.4 + -52.39. Let m = -0.01 + s. Let o be (15\/(-9))\/(10\/(-156)*13). What is the closest to 0.1 in 0.3, m, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6)*603\/804. What is the third smallest value in 116, 0.5, h?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2323963 is divided by 159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d*u**3*w + 27*d*u**3 - d*u**2 - 52*u**3*w + 4*w wrt d.\nAnswer: -3*u**3*w + 27*u**3 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/3445 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 43, 4, -125, -374, -773, -1352, -2141?\nAnswer: -3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 433.52922 to 1 decimal place.\nAnswer: 433.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7623)*-1 + sqrt(7623)) + 1*(sqrt(7623) + 0))**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26731 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2898937*o + 2898937*o - 277*o**3.\nAnswer: -277*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/6*t**4 + 0*t**2 - 1\/20*t**5 + 0 + 74*t + 8*t**3 - 1\/7*t**7 + 0*t**6. Find the third derivative of q(u) wrt u.\nAnswer: -360*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 16*w = -288. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3, -7, -0.21, -1, 170 in decreasing order.\nAnswer: 170, 2\/5, -0.21, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 11834 = 4*i + 3883, 0 = -4*i - 2*j + 7986. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/24)\/((-4)\/8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6 = 2*v - 12, -4*i + 25*v = 75 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-72)\/(-60))\/((-6)\/(-20)). Suppose 0 = 5*i + 2*m - 2518, -h*m - 857 = -2*i + 131. Suppose 2*n = -2*a + i, -218 = -n + 4*a + 33. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -9*p**2\/2 - 28*p + 5. Let l be k(-19). What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + 1 - 13*i as d + q*i and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssessssssssessesssss. Give prob of picking 4 s.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1209400 from -1.1.\nAnswer: 1209398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*w + 17480 + 1036 = -1263 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 6*n - 8942*n**2 + 8929*n**2 + 6*n.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -69*z + 64*z - 4*x, z + x - 7 = 0. Put 4, -5, z, 5, 0 in ascending order.\nAnswer: -5, 0, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 40, 36 in descending order.\nAnswer: 40, 36, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27088 - 27071.2. Which is the closest to -0.1? (a) q (b) -0.2 (c) 0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22220 - 976 + 7974 - 2307)*(0*u**3 + 2*u**3 - u**3)*(-1 + u + 1).\nAnswer: 26911*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63906 or 63909?\nAnswer: 63906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 3*m - 8. What is w(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 172*f - 1601 + 5*f**2 - 172*f + 1601. Let o(k) = -399*k**2. Determine t(o(b)).\nAnswer: 796005*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uud. Give prob of sequence du.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(-6*((-1269)\/5264)\/(-27))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 1269845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124472, 124489, 124518, 124559, 124612, 124677, 124754?\n\"Answer: 6*f**2 - f + 124467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 6, 19, 2, -5, 670 in decreasing order.\nAnswer: 670, 19, 6, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 i when four letters picked without replacement from {x: 10, j: 2, k: 5, i: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 885915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*z = -717*z + 1658 + 37918 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + 38\/14. Solve n*c - 4 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4676.32 nanoseconds in seconds?\nAnswer: 0.00000467632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*a = 141, -3*s - 2*a + 135 = -3*a. Suppose 4*z - s = 4*o, 4 = -5*o - 1. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -655015.79 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(2\/(-8)). Let s = 2 - r. Let o = 9 - 7. Which is the closest to 0? (a) s (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4327, -17299, -38919, -69187?\nAnswer: -108103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5132 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*16\/(-792)*(-9)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-91) + (-10449)\/(-33540)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6389 + -6374. Let m(f) be the second derivative of 0 - 2\/105*f**6 + 0*f**2 + i*f + 0*f**5 + 1\/7*f**4 - 4\/21*f**3. Factor m(p).\nAnswer: -4*p*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 10:11 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + (13 - 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(2\/(-6)). Let o = 102 - 52. Let v = -152\/3 + o. Is b equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227597 is divided by 327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Solve -2*f = q*o, -3*f = -0*o - 2*o + 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + t - t + (-3*t + 0*t - 2*t)*(2*t**3 - 2*t**3 - 2*t**3) + (-2*t**4 + 2*t**4 - t**4)*(2 - 4 + 1).\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-8)\/t)\/t))\/(t*t\/t**5)*(t**(3\/4)*t)\/(t**(-10)\/t*t) assuming t is positive.\nAnswer: t**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*u + 4592 - 373 = 39 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2) - 2)*8. Suppose m*d - 3*v - 49 = 0, -4*d + 14 + 20 = 2*v. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121406, 120744, 120072, 119390, 118698, 117996?\n\"Answer: -5*f**2 - 647*f + 122058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1898 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**4 + 4*j**4 + j**4 - 4*j - 6*j**4 wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 9:58 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/100)\/(3\/(-15)). Solve 3 = g - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 7:31 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - 0.1. Let r = -0.1 - x. Let h = -0.0199945 + r. Round h to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfyyyy. What is prob of picking 2 y?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9))\/(2 - (-22)\/(-9)). Let j(l) be the second derivative of -5\/6*l**3 + 1\/6*l**4 + 0 + l + l**2. Calculate j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/9 + 38*w**4 + 538*w**3 - 10702*w**2\/9 + 1840*w\/3 = 0.\nAnswer: -15, 0, 1, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/2 - 66*h - 131\/2 = 0.\nAnswer: -131, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(40\/56) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -1714.826.\nAnswer: -1715.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykkj when four letters picked without replacement from {t: 2, k: 2, j: 1, v: 2, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3. Let h(f) = f**2 + f - 20. Let v be h(-6). Let d(m) = v - 23*m + 23*m - 4*m**2. What is -6*d(c) + 20*l(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 = -4*y + 2*x, 3 = -3*x. Suppose y*i - 9273 = -27673. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10624 divided by 6.\nAnswer: 5312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.2 + -18. Let l = 0.2 - c. Let g = 177 + -180. Put l, -1\/3, 1\/3, g in descending order.\nAnswer: l, 1\/3, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41532 + 41531.82013. Let t = -3 + 3.18. Let o = t + k. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 1688.\nAnswer: 1687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(2\/12). Suppose -4*k + 5 + 1 = g*f, 0 = k. Suppose f*c + 10 = 31. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 257*y**2 + 258*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 28*l. Let u(z) = -84*z - 5. Let m(i) = 2106*i + 126. Let f(q) = -5*m(q) - 126*u(q). Determine o(f(y)).\nAnswer: 1512*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139395594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1186.07291 to 1 decimal place.\nAnswer: -1186.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*y - 5*y. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22199 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - n + 1. Let i(v) = -2*v. Let r be i(-2). Let z be t(r). Suppose z = 2*q - p, q + 4*q + 4*p - 26 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 49920?\nAnswer: 49920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1744, -3502, -5280, -7090, -8944?\n\"Answer: -2*x**3 + 2*x**2 - 1750*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2497, 3104, 1717, -1670, -7063?\n\"Answer: -q**3 - 991*q**2 + 3587*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66736979249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120816 + 1209441\/10. Let q = p + -128. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170007062 rounded to the nearest 1000000?\nAnswer: 4170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + -5)*14\/(-4). Suppose 0 = -5*i + 3*b - o, 2*i + b + 19 = -2*i. What is the third smallest value in -0.4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22326*8\nAnswer: 178608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - -7. Let m(q) = -q**2 + 29*q - 72. What is the remainder when m(23) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b4 + 123c?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/5)\/(-2 + (-18)\/(-10)). Let d = a + 7. Suppose -2*g = d*i - 39, 11 = -4*i + g + 52. What is the highest common factor of i and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2475 and 67250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 1 - 1)*(-6 + 6 - 4*k**2) - 61*k**3 + 2 - 2 - 3*k**3 - 2*k + 2*k)*(-5*k + 5*k - 2*k).\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239407*d**3*m**2 + 2*d**2*m**2 - 24450*d**2 wrt d.\nAnswer: 1436442*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 229*p + 6325. Give n(21).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 334*b + 38.\nAnswer: -334*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668 times -0.08?\nAnswer: 133.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -20, -18, -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*a**4\/3 - 4238*a**3\/3 + 112148*a**2\/3 + 5618*a\/3.\nAnswer: 2*a*(a - 53)**2*(20*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from vqvmmmqsslvvvvqlmr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 31*n + 8 = 36*n + 263 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7289*r + 3646*r + 3646*r. Let s(y) = y. Let w(z) = 4*z. Let n(m) = 14*s(m) - 4*w(m). Calculate 4*h(o) + 5*n(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11901, 23529, 35157, 46785, 58413?\nAnswer: 70041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16343561 and 3692.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -814 - -825. Let w(v) be the first derivative of 0*v + 0*v**4 - b + 0*v**2 - 7\/5*v**5 - 10\/3*v**3. Find the third derivative of w(a) wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.78 + -193. Let r = m - 1.9. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 22. Suppose m = 3*m - h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1440)\/(-63))\/16 - (-57)\/(-35). Let q = -7.7 + 8. Suppose i + 3*x = 4*i - 27, -3*i - 5*x - 5 = 0. What is the closest to m in -1\/5, i, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenqneeneeene. Give prob of sequence nq.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9346143*k**2. Let n(y) = -3*y**2. What is c(n(t))?\nAnswer: -84115287*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15968 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2\/((-6)\/(-3)). Let l = b + 1. Find the second derivative of 5*i**4 - l*i**4 + 5*i - 3*i**4 - 2*i**4 wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2249, 173, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*w - 495452*w**2 + 519*w.\nAnswer: -495452*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 216\/22 + (-2)\/(-11). Let y = 12 - f. Let a be 4\/(16\/6)*y. Solve 4*w = a*g + 11, -w + 2*g + 14 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 485184402 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - (2 + -6 + 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-2 + 3 + 1) + 3 + 1 - 3)*(-3*c + 7*c - c + (c - 4*c + 2*c)*(3 + 2 - 3)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q - 56*q + 2850 = 0. Let a be q\/(-12) - (9 + -11). Is a >= -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 62. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7788 + 7300 + 1537 + 18137)*(-d**4 + d**2 - d**2) to s*d**2 + h*d**3 + x*d**4 + n + m*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 15*x**2 - 17*x + 8. Let y be v(16). Let o be (5 - (-18)\/(-3))*y\/(-2). Put -3, -6, o in ascending order.\nAnswer: -6, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 67*v - 207. Does 27 divide n(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 203022?\nAnswer: -203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -15*p - 4*v - 27, -5*v - 40 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 5106078?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5066 and 654706?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 39*w + 1342. Let h be y(-6). Solve 8*d - h + 1100 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157900 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13884588 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144689 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*i - 6300420 - 599576, 2*i - 4*q = 6900008. Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/25905 and 76\/25905.\nAnswer: 25905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*r - 47, 2*r - 42*n + 38*n = 64 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 61 - 96 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-637))\/(36960\/(-6468))?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10111001100111000?\nAnswer: 10111001100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -24. Suppose -t + 2*t - 5 = p, 4*t = r + 18. Solve 5*j = -2*y + 15, r*y = -2*y + 3*j - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Determine c so that 2*c + 2*c**n + 4*c**2 - 2*c**3 - 5*c - 3*c + 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:09 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/40 + 294\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.98 and 1.2.\nAnswer: 15.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 22. Calculate the greatest common divisor of 42 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-20884)\/1135*(-75)\/(-30)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 11*x + 1. Let t be f(9). Let c be -3 - ((-800)\/30)\/((-1)\/(-3)). Let d = c - t. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose z*p = 6 + 42. Is p at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5614 + 5632. Solve -32 = 4*a + 3*v, a + 7 = -5*v - j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/1*((-13)\/(-65))\/1*-2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 2 - 2 + (6*w + 47*w + 2*w)*(3 - w - 3)*(16 - 7 + 4) in the form g*w**2 + m + p*w and give g.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2628580 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -28, 22, 128, 308, 580, 962, 1472?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2930 - 521 = -17*u. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p**2 - 20 + 14 + 11*p - p**2. Let x be v(10). Calculate the highest common factor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/168 + 46\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r = 50*r + 100. Let t = -49 + r. Which is the closest to t? (a) 1\/8 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/2 - 4*n**2 - 3*n. Let o be b(-7). Let d be 36 + 5 + 0 + -2. Calculate the highest common divisor of o and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = -f, -m + 3*f + 352 = 0. Let d = m - 49. Let g be 6\/(-2) - d\/(-102). Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -4*b + 55, 5*b - 79 = 4*k. Suppose b = 12*o - 9*o. Solve 3*l + o = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*y - 179*y - 811320. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4152\/(-40))\/((-1)\/5)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -16\/5*m - 2\/5*m**3 + 0 + 18\/5*m**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j - 47. Give p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -83*r - 23. Let y(p) = 27*p + 8. What is -3*v(j) - 8*y(j)?\nAnswer: 33*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -310440132?\nAnswer: -310440132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.165, -8, 1\/7?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejejejjjejejeej. What is prob of picking 3 e?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/15 + 13602*p = 0. What is p?\nAnswer: -102015, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2172 from -278345.\nAnswer: -278344.7828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2590, 3.\nAnswer: 3, 12, 2590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:22 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 4. Let g(u) = u - 2. Let y(b) = -13*g(b) - 6*z(b). Let c be y(4). Is (-354)\/(-14) - c\/(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)\/u)**(-16\/5))**(2\/23)*u**(2\/11)\/u**(1\/4)*u**(3\/4)*(u\/u**0)\/u assuming u is positive.\nAnswer: u**(18411\/17710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 519 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 15*l**2 - 63*l + 5. Determine m(3).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l - 6. Let w = 0 + 0.1. Let u be (-2 + 3)*-2*1. Which is the closest to w? (a) 1\/3 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4015363 (base 7) in base 10?\nAnswer: -474904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 - 70*s**2 + 646*s - 578 = 0?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/12*(-32)\/48)\/((-8)\/(-176))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.71403t to micrograms.\nAnswer: 73714030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**3 + z**2 - z - 4. Let m be b(3). Let x = 156 - m. Let r(g) = -g + 2. Give r(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046782561 to seven decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**17\/i))\/(i\/((i**(-4\/5)*i*i)\/i)) assuming i is positive.\nAnswer: i**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14475*g**2\/2 + 231603*g\/2 - 24.\nAnswer: -3*(g - 16)*(4825*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-40)*60\/(-16)*-1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.49277291 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2299974907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1137192 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1210\/198 - (-4)\/(-6))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 717584857 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + c - c + 4*c + 8*c - 3*c + (-5 + 0 + 3)*(1 + 2*c - 1).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**3 - 10*b**2 + 0*b**4 + 0 + 5*b - 164\/15*b**5. Let o(n) = -n**2. Give x(o(z)).\nAnswer: -656*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 5*u + 7. Let g be f(-6). Let n be -2*-4*(-3)\/8. Sort n, g, -5 in descending order.\nAnswer: g, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170 - 1173 - 1172 - 5*u + 3515.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2\/275 in increasing order.\nAnswer: -3, -2\/275, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48352096?\nAnswer: 2, 13, 47, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 229 = 269. Suppose 2*s - l = -26. Let t(h) = h**2 + 4*h + 12. What are the prime factors of t(s)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296*a*b**3 - 37650*a*b + 238988623*a wrt b?\nAnswer: -888*a*b**2 - 37650*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267465 is divided by 3992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4847052 and 684?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a**2 - 5*a**2 + 11*a**2)*((3 - 2 - 3)*(0 - 5 + 3) + 2 - 2 - 2 - 1 + 4 - 1).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 3*d**2 + 2*d + 4. Let j(m) = -3*m**3 - 4*m**2 - 2*m - 5. Suppose 6 = -3*o - 6. Let x = o - 0. Give x*j(p) - 5*t(p).\nAnswer: 2*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 341e (base 16) to base 15\nAnswer: 3e47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/7 - (-6018)\/(-1785)*-5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7667, -15918, -24209, -32540, -40911, -49322, -57773?\nAnswer: -66264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 202?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*t**3 - 48*c - 2*t**4 + 2*t**2 + 1 wrt t.\nAnswer: 6*c*t**2 - 8*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -1, -2, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/140 and 39\/4210045.\nAnswer: 16840180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38229 - -38247. Let m = 13 - 9. Is v != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 + 2*x + 2. Let t be q(3). What is the derivative of -24*c - 5 - 10 + 6 - t wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. What is r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(130)*1)\/sqrt(10).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*s + 3*u, -2*s = -4*u - 1 + 3. Let k(x) = 3*x - 4. Let y(i) = -i - 1. Let z(c) = s*k(c) - 4*y(c). What is z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 7, o: 7, x: 1, g: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + d**4\/3 - d**3\/6 - d**2. Let v(o) = o**2 - 5*o + 1. Let x be v(6). What is the units digit of b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 54. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 7*z**6\/15 - z**3\/2 + 65*z**2\/2 - 8*z + 63. Let h(n) be the first derivative of j(n). Differentiate h(i) wrt i.\nAnswer: 56*i**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/125)\/((-6)\/(-10))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -411\nAnswer: 19\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 365 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51, 55, 59, 63?\n\"Answer: 4*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32700495?\nAnswer: 3, 5, 2180033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - 4 - 2 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -141. Find the common denominator of -23\/9 and (-158)\/30*-1*f\/(-138).\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16558 (b) 4 (c) 0 (d) 2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9488 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:38 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + 2*h**2 + 0*h**2 + (-h + 0 - 3 - 1 - 4*h - h + 4*h + (3 - 2*h - 3)*(3 - 3 - 1) + 2*h + 2*h - 2*h)*(0*h + h + 0*h)*(9 + 15 - 9).\nAnswer: 35*h**2 - 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 + 27*i**3 + 51*i**2 + 25*i = 0. What is i?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/((-10)\/(-15)). Let x be 2\/8*(y + 0). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11345 divided by -10958?\nAnswer: 11345\/10958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382 - -682. Let z be (15\/(l\/(-16)))\/((-4)\/10). Solve b - a + 5 = 0, -3*b + z*a = 2*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.449 - 4.449. Let d = -214 - -1928\/9. What is the nearest to -1 in 0.5, n, 2.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 u, and 1 l when four letters picked without replacement from urrlrrrrlulltorrl?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 12) to base 10\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2. Let w(h) = 2*h + 723709. What is w(n(d))?\nAnswer: -12*d**2 + 723709","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1 - sqrt(110))\/sqrt(10) + 5)**2 + (-2*sqrt(132))\/sqrt(3).\nAnswer: -4*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**4 + 0*g**4 - 32*g**4 + (3*g - 3*g - g)*(2*g**3 - 2*g**3 + 2*g**3) + g - 2*g**4 - g.\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-4) + (-330)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {y: 11, m: 1, p: 2}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139461.\nAnswer: 3, 7, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let l(w) = -23*w**2 + 634*w + 337. Determine l(q(s)).\nAnswer: -368*s**4 - 2536*s**2 + 337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5622781 to the power of 1\/2, to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-846)\/(-78) + (-6)\/(-39). Let c(y) = -y**3 + 11*y**2 + 3*y + 18. What is the tens digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:42 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)\/g**(2\/3)*g**(2\/13)\/(g**(-3)*g*g) assuming g is positive.\nAnswer: g**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.2 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 13) to base 8.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2\/2 - 10*x + 1. Let a be h(10). Suppose -z + d = -49, -3*z + d + 30 + 121 = a. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/12 - d**3\/6 + 3*d**2\/2 - 2*d - 13284. Suppose 4 = -4*f + 12. Give b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 7 = -173. Let f be -16*g\/(-252)*7. Which is the smallest value? (a) 2\/3 (b) -83 (c) f (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(3*j**2 - 4*j**2 + 0*j**2) + (-5 + 4 + 0)*(-2 + 1 - 4)*(12*j - 12*j - 3*j**3).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 8*i + 7*i)*(7 - 2 + 6).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 25*t - 55. Let h be w(26). Let z = 116 + h. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 at most -407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 1105, 1781, 2705, 3865, 5249?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*(-88)\/6. Let s = o + 25. What is the units digit of s*19 + (-2)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.4 - 0.449.\nAnswer: 18.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose 5*n = 0, l*p - 2*p - 2*n = -86. Let j = 12 - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 134\/2 + 2 - -2. Suppose -59 = -5*y + t. Let c = -17 + y. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 318 + -310. Sort -2\/7, -1, k, -4 in descending order.\nAnswer: k, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liilziqzziiiiiqli. What is prob of sequence zz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 26525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:37 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 200.3.\nAnswer: -80.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 91 = -8*v - 171 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119) - sqrt(119)*2*4))\/(1*(sqrt(84)*-2)\/sqrt(12)).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37d7 + -9a7?\nAnswer: 2e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/3 + 505*x**4\/3 - 1001*x**3 + 1497*x**2 = 0.\nAnswer: 0, 3, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -6 + 1 + 3. Solve w*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (12 - -1) + 32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:14 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*f - 3*l, -65 = 7*f - 10*f - 4*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akzcc. Give prob of picking 1 c, 1 a, 1 k, and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -24. Let s(q) = q - 1. Let z be s(5). Suppose 0 = -5*t - l + 25, 5*t - z*l + 8 = 2*t. What is the remainder when u is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (-27 + -23) - -37.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1127, -3924, -8547, -14996, -23271, -33372?\n\"Answer: -913*i**2 - 58*i - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23766113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/162)\/(14\/(-1))*102\/(-68).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401291*y**3 + 5 + 160*y + 401455*y**3 - 5)*(-y**2 + 3*y**2 + 0*y**2)*(-5 - 1 + 4).\nAnswer: -656*y**5 - 640*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*w + 13 = 0, i - 9 - 12 = 5*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7400)\/(-8325))\/((-5)\/(-3) + -1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 42*q**2 + 47. Let v(k) = 21*k**2 + 24. Let y(c) = -3*j(c) + 7*v(c). Differentiate y(m) with respect to m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsjj when four letters picked without replacement from jsjssj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(475)) - (-3 + 1 + sqrt(475) + sqrt(475)))*-6)**2.\nAnswer: -5760*sqrt(19) + 274176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 171, -1, 0, -12 in increasing order.\nAnswer: -12, -1, 0, 4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310\/1399 - -203465\/507837. What is the common denominator of -6\/7 and a?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 = -3371*c + 3444*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*k - 9100 = -0*c, 6 = 2*k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**3 - 19450616*v**2*w + 21545050*v*w - 2*w wrt v.\nAnswer: -12*v - 38901232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b - 6*b = 7*b - 25*b - 3519 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(1\/8))**(2\/31) assuming j is positive.\nAnswer: j**(-25\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2744093 * 20.\nAnswer: -54881860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71874787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 3309*s**4 - 3312*s**3.\nAnswer: 3*s**3*(s - 1)*(s + 1104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 466 - 319. What is the greatest common factor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43661540.\nAnswer: 2, 5, 13, 307, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 10, 41, 96, 181, 302, 465, 676?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**6\/21 + 4*w**5\/35 + 15*w**4\/14 - 64*w**3\/21 + 16*w**2\/7 + 168. Find z such that b(z) = 0.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let h be -3 - -3 - -8 - s. Suppose -35 = -h*y - 2*f, 0 - 46 = -4*y + 2*f. Solve 4*i + y + 7 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13023 (base 6) to base 10.\nAnswer: -1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 - 10*q + 6. Let j be d(6). Let v = 93.9 - 94. Which is the second smallest value? (a) j (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose 3*f + 6 = w*f. Let v(z) = -z**2 - 5*z + 3. Let t be v(f). Sort 0.2, t, -1 in descending order.\nAnswer: 0.2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * -102.6785\nAnswer: 225.8927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69\/44 - 20\/11. Sort -2, h, -2\/13 in decreasing order.\nAnswer: -2\/13, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*w - 45 + 45)*(-25 + 67 + 21) in the form z + j*w and give j.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -27. Suppose k*o = -0*o + 305. Let j = o + -57. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 3, e: 1, s: 5, l: 1}. Give prob of picking 1 l, 1 t, and 2 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3637 - -18184\/5. Put -3, -0.1, 9\/2, u in ascending order.\nAnswer: -3, u, -0.1, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**3\/63 - 7*y**2\/3 + 28*y - 8038. Factor u(j).\nAnswer: 2*(j - 42)*(j - 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 - 200*o - 405. Let r be w(-2). Let t(b) = -b**3 + 15*b**2 - 18. Calculate t(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 7 - (63 + 4)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1461582600 to the nearest one million.\nAnswer: -1462000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.796 from -6029.3138693.\nAnswer: -6028.5178693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53826, 53827, 53836, 53859, 53902?\nAnswer: 53971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5 - 6*f - 8. What is the first derivative of c(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m + 148 + 130*m - 110*m - 104*m - 148.\nAnswer: -135*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96004 or 9?\nAnswer: -96004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 337795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*r = -47 - 13, -i + r + 19 = 0. Let j(t) = t**2 - 13*t - 88. Is j(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:33 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 16. Calculate the greatest common factor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (5 - 0) - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 2*y**2 + 17041*y**4 - 3*y - 16996*y**4 to the form s*y**2 + o*y**4 + b + x*y**3 + i*y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/93440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30897 + -5?\nAnswer: 30892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/(-105))\/(4\/(-260)). Is x at most as big as -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + s + (-8*s + 8*s - s)*(0 - 3 + 1))*(-3 + 0 - 1)*(-3 + 2 + 0)*(3 - 2*s - 3).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 - 21*j + 63. Let m be q(3). Solve 5*g - 4*t - 8 = m, t + 2*t + 6 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -7, -21 in decreasing order.\nAnswer: -7, -21, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150721 or 150723?\nAnswer: 150723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/1835 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + ((-220)\/(-5))\/(-4). Let n be (-16)\/(-24) - (-2)\/i*93. Let j(u) = u**2 + 11*u - 9. What are the prime factors of j(n)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 + 6*h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:20 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 96. Let s be y(-30). Let i be (2 - s - 1) + -7. Which is the closest to -1? (a) 10 (b) 5 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11685 and 557805.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 0.4, 2\/19, 1\/9, 9683?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 464\/196473?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422455835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 + 3*y - 2. Let z(p) = 28*p**2 - 13*p + 10. What is 9*k(s) + 2*z(s)?\nAnswer: -7*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036936 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -17. Let s be (3\/5)\/(t\/(-380)). What is the highest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278 - -276. Let r = 179 + -179.3. Which is the biggest value? (a) u (b) r (c) 0 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 10. Let l = g - 1. Let a be -2 + (-1)\/(l\/6). Solve 9 = -3*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -68, -3, 7, 232 in increasing order.\nAnswer: -68, -3, 0, 2, 7, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**3 + 2\/7*j**4 + 0*j + 0 - 2\/7*j**2.\nAnswer: 2*j**2*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-10)\/30)\/(2\/(-2))). Let t be (1\/m)\/((-16)\/768*8). What is the greatest common divisor of t and 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, 1.3, -1.84, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-5*3)\/(-3). Let w be (2 - (-5)\/o)*-24. Let i = w + 33. Solve 2*q + 3*q - 5*k + i = 0, 0 = -3*q + k - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*(-5*n**2 - 33 + 4*n**2 + 2*n**2).\nAnswer: -n**3 + 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*d + 131 = 0, -5*t + d = 6*d - 330. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + u + 2 - 6*u**4 + 6*u**4 - 2*u**4 - 2*u as w*u**3 + j*u**2 + g*u + m + d*u**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u. Let j be 4\/(((-44)\/(-10))\/11) + 14. Let f(v) be the first derivative of 0*v**2 - j + 1\/3*v**3 + 0*v. What is f(y(q))?\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 65109996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16)*1)\/(6\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 18 - 62. Suppose -n + b + b + 12 = 0, -b = -3*n + j. Solve -3*p = -n - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 51 (c) 5 (d) -1 (e) -3 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/12 - v**3\/9 + v**2\/6 + v\/3 + 11. Factor q(k).\nAnswer: -(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2233, -3455, -4677?\nAnswer: -5899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/9)\/k)\/(k**12\/k*k)*((k*k**4)\/k*k)**(-15) assuming k is positive.\nAnswer: k**(-785\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t. Let f(n) = -1 + 2*n + n + t + n. Give f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w - 279. Let c be (309\/(-9) + 3)*(-18)\/12. What are the prime factors of k(c)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, 1 w, and 1 n when four letters picked without replacement from {m: 4, w: 1, a: 2, n: 4}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-75)\/(-35))*((-288)\/(-168))\/6\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4775*q**2 - 282*q**2 - 370*q**2 - 921*q**2.\nAnswer: -6348*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -1, 3, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175 + 174 + (-13 - (0 + -4)) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -6) + 4 + -3. Let m(r) = -r + 7. Calculate the remainder when (1 + 47)\/z - (52 + -51) is divided by m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*d = -i - d, 3*i + 2*d - 23 + 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:47 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - 0 - 9\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -1*sqrt(18) - (sqrt(18) + (sqrt(36)\/sqrt(2) + sqrt(18))*5)).\nAnswer: -144*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -180195?\nAnswer: -4\/180195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4383 - 2086307\/476. Is f greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooqqoqoqoooqoqo. Give prob of sequence qq.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*s + 3\/2*s**2 - 387\/2.\nAnswer: 3*(s - 129)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/12*z**3 + 1\/840*z**7 - 1\/80*z**5 + 9*z**2 + 0 - 1\/96*z**4 + 1\/480*z**6 + 0*z. Let c(i) = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**2\/2 - 58. Let z(k) = 111*k**2. What is z(o(f))?\nAnswer: 111*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265 - -3.128921.\nAnswer: 1268.128921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*j + (-1 + 1 + 2*j)*(4 - 2 + 0) - 5 + 5 - j)*(-3 + 2 - 9)*(0*j + 2*j + 0*j) in the form f*j + u*j**2 + o and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 4. Suppose 2939 = 5*c - k*s, 4*c - 1055 = s + 1294. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x + 2868 = -162*x - 208*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -1)\/((-2)\/(-12)). Let g = 56 - 16. Let v = g - z. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104756 by 2.\nAnswer: 52378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311\/2 - -2827\/18. What is the common denominator of 167\/30 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 13) to base 5\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11807 + -4085. What is the highest common factor of 54 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i - i**3 - 5\/2*i**2 + 0. Find the first derivative of x(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 77\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) -200 (c) -0.2 (d) 2 (e) -785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2*-2 + 15*(-351)\/(-715))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4781143358 + 4781143358 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462630 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z**2 + 5*z**3 + 2 - 6*z**3 + 2*z**3 + 25*z - 5. What is the hundreds digit of g(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 10, 36, -5, -3, -2, 245 in increasing order.\nAnswer: -7, -5, -3, -2, 10, 36, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -4, -5, 56 in decreasing order.\nAnswer: 56, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1979052, -1979057, -1979062, -1979067, -1979072?\n\"Answer: -5*b - 1979047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1132 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033 (base 7) in base 12?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.8 - 0.8. Let c = 64.00000002 - a. Round c to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351896.\nAnswer: 2, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -422*b + 414*b + 760. Let j(w) = 4*w - 41. Let q be j(15). What is the greatest common divisor of q and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 4*m - 2*m)*(2*m**3 - 5*m**2 + 5*m**2) - 2*m + 2*m - 2*m**4 - 16*m**4 - 28*m**4 + 17*m**4 to u*m**2 + k*m**4 + y*m + q*m**3 + s and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + -893?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 95 = -6*j. Let b be ((-66)\/48 - 3\/(-8)) + 77. What is the highest common factor of b and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1762*c + 15582*c = 2807*c - 1046664 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -39384.1 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 12*h = -145 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3*y + x**3 - 6*x**2*z - 1908*x*y*z + 47*x*z + 2*z wrt y.\nAnswer: -x**3 - 1908*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4479*d**2 + 4479*d**2 + 348*d**3)*(0 - 3*d**2 + 0).\nAnswer: -1044*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c + c + 120 + 373. Let r = 3 - 2. Put r, -3, c in descending order.\nAnswer: c, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252941518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(22)\/sqrt(2)) - sqrt(2) - -2*sqrt(8)\/sqrt(4))**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*b**3*i**2 + 3*b**3 - 1241*b**2 + 136*i**2 wrt i.\nAnswer: -94*b**3*i + 272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 3*p + 7*p. Let o(m) = 5*m + 12. Give o(l(y)).\nAnswer: -10*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 10}. What is prob of picking 1 i and 1 l?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206008065 by 1.\nAnswer: -206008065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -802 - -13081113.\nAnswer: 13080311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 0, -2*u = -7*v + 2*v + 17. Let d be ((-2)\/(-4))\/(3\/6). Suppose -2*k + 22 = 0, 6*h + 6*h - k = 30 - 41. Sort d, u, h, -4 in increasing order.\nAnswer: -4, h, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1284 and -55\/1222488.\nAnswer: 130806216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 24 = -8*g. Let l = 11 + -22. Let p(o) = 7*o**3 + 7*o**2 - 2. Let n(y) = -4*y**3 - 4*y**2 + 1. Give g*p(s) + l*n(s).\nAnswer: 2*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 11*y - 21. What is the hundreds digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006 + 46\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 - 4*b + 3. Let w be o(-8). Let m be 2\/9 - w\/(-9). What is the units digit of -1 + 2 + m + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/6 - 130*y - 2394 = 0.\nAnswer: -18, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-20)\/(-70)*(-588)\/(-389088)?\nAnswer: -1\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -884, -2 in descending order.\nAnswer: 3, -2, -3, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -2*u**2 + 1\/24*u**4 + 0*u + 0 + 1\/2*u**3. Calculate i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**3\/3 + 2*x. Let a(d) = -3902*d + 2 - 2 + 3901*d. Determine a(r) - y(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11 = f + 6, -3*f = -2*v + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 917435575 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -409*j**6 - 92*j**5 - 255570*j**2 wrt j.\nAnswer: -49080*j**3 - 5520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 1.2. Suppose 6*m + 27 = 3*m. Let j be (-6)\/m - (-16)\/(-12). Which is the nearest to j? (a) 0 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/7 (b) -8 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/105*-6 + 88\/(-14). Calculate the common denominator of ((-14)\/r)\/(-4 - (-642)\/153) and -7\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/30 - p**4\/4 + 2*p**3\/3 + 4*p**2. What are the prime factors of r(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11357363, 11357362, 11357361, 11357360, 11357359, 11357358?\n\"Answer: -n + 11357364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/10 in 5, 5\/2, -10, 1\/3, 16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-3\/8)))**(-4\/3)\/(d*d\/(d**(-4\/27)\/d))**(-17\/4))**25 assuming d is positive.\nAnswer: d**(34775\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 20\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (-24)\/(-3 - 1). Suppose 2*s - 4 = r, 5*l - 4*s - 19399 = 2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 7*r - 20. Let x(h) = -5*h**2 - 14*h + 38. Let l(o) = 7*m(o) + 4*x(o). Let a be l(7). Solve 3*w + a = -0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + v = 13, 2*m - 3*v - 1 + 7 = 0. Let s = 8271 - 8259. Solve -m*n = 6 - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ahcacahhaaaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -4)\/(40\/15 + -4). Does 20 divide 3\/(v\/1)*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 32 = 4*v + 5*c, 5*c = -3*v + 30. Suppose 0 = -4*r - r - 15, -23 = -4*g + v*r. Factor -j**2 - 3*j**3 + 12*j**g + j**2 - 12*j.\nAnswer: -3*j*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -41. Let o(z) = -x*z + 31*z - 21*z. Let w(r) = -6*r**2. What is w(o(t))?\nAnswer: -216*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-3)\/9*(-3666)\/(-5640)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/3)*b**(-16))\/(b**20\/(b*b**(8\/5)*b*b)) assuming b is positive.\nAnswer: b**(-451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/2 - 3*n**2 - 2*n. Let x be s(-12). Suppose -x = j - 3*j. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 + 12*d**4 - d**3 - 162*d**2 - 268*d - 120 = 0?\nAnswer: -2, -1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(200) - sqrt(200)*1) + 1)**2 + 1*(sqrt(200) - (-2 + sqrt(200)))**2) + -5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 22*i - 2*i - 10*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002538 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 406 = -10*b. Let m(k) = b - 20 - 16 - 21. Let q(w) be the first derivative of -2*w**3\/3 - 3*w + 1. What is -2*m(v) - q(v)?\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(((-1 + sqrt(99))*3 - sqrt(99)) + ((sqrt(99)*2 - sqrt(99)) + 0 - sqrt(99)) + sqrt(99)) + -3)**2.\nAnswer: 18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 55841 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/12*(-1)\/((-30)\/36). What is the tens digit of (1 - 978\/(-2)) + g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 30, 41, 52, 63, 74?\n\"Answer: 11*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Let j(z) = -2*z**3 - 7*z**2 - 10*z - 36. Let t be j(-4). Let m(r) = t*r**2 + 22*r**2 + 16*r**2 - 118*r**2. Give m(c(s)).\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0844 to three dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6*r))\/(r**(-16)\/r))\/(r**(5\/6)\/(r**(5\/6)\/r)) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1222.838 to the nearest integer.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2. Let w(f) be the third derivative of 19*f**4\/24 + 11*f**2. Give w(n(r)).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 601, 602, 603?\n\"Answer: w + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325)*-4 + 0 - (2 + -4*(sqrt(325) + sqrt(325) + 0 + sqrt(325))))**2*1.\nAnswer: -400*sqrt(13) + 130004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -246730.30733\nAnswer: 246730.20733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -4 (b) 4 (c) 2\/123 (d) -3 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2\/4 - 6410*a + 25645\/4 = 0 for a.\nAnswer: -5129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545 divided by 678?\nAnswer: 515\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a = 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 8, h: 1, x: 2, r: 1, t: 3}. What is prob of sequence tt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28784 + -18922. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*a - 4*s + 5, 3*s - 17 = 2*a. Let p be -40*a\/(-2)*-5. Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 2\/11, 45\/4, -2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 758.86 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 763, 400, 1, -2.\nAnswer: -2, 0, 1, 5, 400, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1. Let r(i) be the second derivative of -i**3\/3 - 4*i**2 + 3*i. Let n(z) = -2*r(z) - 14*v(z). Find the first derivative of n(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(20\/(-12))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/322073090 and 52\/3.\nAnswer: 966219270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + -6 + 3 + 10. Suppose -1401 = -y - b, -3*y = -n*b - 3639 - 554. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/3)*z*z))**12 assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 12. Suppose -3*l - 4 + y = 0. Let r(k) = k + 0*k - 1 - l. Determine r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 1:21 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 689495140 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 65*q**2 + 339. Let f(z) = 64*z**2 + 341. Let g(w) = -5*f(w) + 4*k(w). Differentiate g(p) with respect to p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(-4\/5)))\/(o\/(o\/(o**(1\/5)\/o))*o))\/(o**1*o)**(-1\/47))**25 assuming o is positive.\nAnswer: o**(-1125\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*t + 44 = 0, -t + 29 = -31*p + 33*p. Suppose -3*b = 5*a - p, 3*a - 18 = -b - 10. Factor -l + 1\/4*l**3 + 1\/4*l**b - 1.\nAnswer: (l - 2)*(l + 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421754 is divided by 70241.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/31, -1\/7, 4369, -1\/4, -1\/5, 1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -100. What is the greatest common divisor of 100 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 0*x**2 + 0*x**2 + (4*x + 2*x**2 - 4*x)*(3*x - 2*x - 3*x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8270998.\nAnswer: 2, 4135499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 0*g + 2 - g - 2 + (3*g - 4*g + 0*g)*(1 + 3 - 2) + (3 - 6 + 1)*(-2 + g + 2) + (6*g - 2*g - g)*(-35 - 15 + 2).\nAnswer: -151*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303.412 litres to millilitres.\nAnswer: 303412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Suppose -n*x = -6*x + 4500. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5 - 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781458 and 2604860?\nAnswer: 7814580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + 2*y**2 + y - y - 3*y**2 + (5*y**2 - 6*y**2 - y**2)*(1 + 0 + 0) + (3*y - 2*y - 3*y)*(0*y + y - 2*y) + 4*y**2 - y**2 + y**2 + 2*y**2 + 2 - 2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-23)*c*c**(9\/2)*c)\/((c\/(c**5*c*c))\/(c*c\/(c\/c**(1\/25)*c))))**(-14) assuming c is positive.\nAnswer: c**(3661\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*y = 1, 4*x + 2*y - 5*y - 33 = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31951 is divided by 2472?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 10.425.\nAnswer: -62.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 790*h - 396*h - 398*h + ((-3*h + 7*h - 2*h)*(6 - 3 - 1) + 32 - 32 + h)*(0 + 3 - 1) as i*h + r and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 + 372*n - 736 = 0.\nAnswer: 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + m**2 + 168 - 11113*m - 46 - 43 - 39 to the form h + q*m + f*m**2 and give q.\nAnswer: -11113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/10*2\/(-3). Suppose -5*c = g*y - 187 + 53, 3*y + 116 = 5*c. What is the highest common factor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l - 25*l + 944 = -20*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a3c + 5?\nAnswer: -2a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 1) + (33 - -66 - 130).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49643 - 28842. List the prime factors of t.\nAnswer: 11, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2766, 2, 27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*f - 3*u, f = -2*f - 3*u + 45. Suppose f*s - 18*s = -105. Calculate the greatest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 1\/12*o**4 - 3*o**2 - 1\/90*o**5 + o**3 + 0*o + 0 - 1\/540*o**6. Determine b so that u(b) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 5, 2\/5, -25, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*1379\nAnswer: -965.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.6 - -1.85. Let h = z - 0.25. Let y = 71\/198 - 3\/22. Which is the nearest to -1? (a) h (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138202122.\nAnswer: 2, 3, 419, 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-84))\/((-156)\/(-351)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 113*p - 13*p - 6*p to the form z + t*p and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4446438 and 16\/3545133.\nAnswer: 262339842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 7*w**6\/60 - w**5\/20 + 9*w**3\/2 + 78*w**2. Differentiate f(y) with respect to y.\nAnswer: 42*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from uuupkuggggukuu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1, 5, 9 in decreasing order.\nAnswer: 9, 5, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**3 - 3*w + 2. Let s be v(1). Suppose -2*d + s + 7 = 4*x, -2*d + 4*x = -20. What is the least common multiple of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3325.65 (b) 0.09 (c) -2 (d) 1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 359059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 1 (b) -0.04 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - -1 - (-1 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*d + 3*y + 643, 5*y = 15. Let i be ((-6)\/(-8))\/((-8)\/d). List the prime factors of -3 - (i\/4 + -30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396966016.\nAnswer: 2, 23, 134839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by -15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/4860 and -143\/540.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 7. Let j be i\/(-3)*-3 + -3. Solve 5*o + y = -10, 5*o - 4*o = j*y + 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.10403634 and 0.4.\nAnswer: -4.041614536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(125\/2)*(-9570)\/696?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*s + 95*s - 115*s**2.\nAnswer: -115*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 182*a + 354 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1324135\/7 - 189170. Find the common denominator of l and -2 + ((-239)\/(-34) - 2).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 964885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/3))\/(k**11*k)*(k\/(k*(((k\/((k*k**(4\/3)*k)\/k)*k)\/k)\/k)\/k*k))\/k**17 assuming k is positive.\nAnswer: k**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150864, 603404, 1357628, 2413536, 3771128, 5430404, 7391364?\nAnswer: 9654008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = x + 8*q - 19*q + 5, -8*x + 5*q = 79 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -220100210020?\nAnswer: 220100210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4\/11, -0.5, 9?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from yccybcycttchchhthcy.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 7739284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 10566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 8616704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 + 46842*g*x + 469778*x wrt g?\nAnswer: -3*g**2 + 46842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 205*x**4\/12 - 15*x**3 - 284*x. Find the second derivative of o(l) wrt l.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 49 + 3 = -29*g + 17*g - 16*c, 23 = -3*g - 2*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1327256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * 139855\nAnswer: 61536.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-23608)\/(-681) - 39)*(29 + (-6)\/3)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) 3\/8 (b) 5 (c) -5.72 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - (-136)\/182 - (-72261)\/(-3367).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/66957 and -33\/32464.\nAnswer: 1071312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-30)*(0 + -3). Suppose d*i - 3 - 9 = 0. Suppose -4*n - t = -i*n - 188, -5*n + t + 922 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13122202300 - 12?\nAnswer: -13122202312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16ad7 (base 14) to base 12\nAnswer: 29005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l**2 + 10*l + 10. What is u(3)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvukkvvvkvu. Give prob of picking 1 o and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i\/i**5)\/(i**(1\/14)\/i**18))**(-17) assuming i is positive.\nAnswer: i**(-3791\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/9)*r*r)\/(r**(-23)\/r))\/((r\/r**14)\/(r**31\/r)))**(-31) assuming r is positive.\nAnswer: r**(-19499\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -103683.\nAnswer: 5\/103683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24324 - -2516?\nAnswer: -21505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.2 + -393.8. What is w rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.5, 4, -11, 4458, 0.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m - 3791581 = -145*m. What are the prime factors of m?\nAnswer: 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - (-39)\/(-52)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 122*h**3 - 4397*h**2 + 137*h + 1557. Give a(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1794284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 - 9*r**2 - 13*r - 15. Let n(z) = -3*z**3 + 4*z**2 + 6*z + 7. Let h(a) = -4*l(a) - 9*n(a). Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/40*(-6 + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -281*w + 1 - 2*w**3 + w**3 + 280*w. Let b(y) = -48*y**3 - 40*y + 40. Determine 40*a(j) - b(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Sort 2, -1, 3, c in descending order.\nAnswer: 3, 2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2778\/(-3704))\/(18\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/35910 and 19\/25?\nAnswer: 179550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3. Let v(b) = 4. Let z(j) = -5*s(j) + 4*v(j). Let y(u) = -u**2 - 1. Suppose 8*n + 1192 = 1200. Determine n*z(l) + 2*y(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 25*p. Let z(x) = -1920*x**2 + 2. What is r(z(d))?\nAnswer: -48000*d**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 111?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9, -4\/697, -102?\nAnswer: -4\/697","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4134*y + 4146*y = -36 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*u + 3*d, 4*u - 2*d = 16. What is the second derivative of -u*a + 2*a - 4*a**5 - 2*a wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2225 + 0.2225. Which is the biggest value? (a) 5 (b) 4.6 (c) m (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 9, -43, -187, -465, -919, -1591, -2523?\nAnswer: -3757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) -46 (d) -2 (e) -2\/3 (f) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 23*k**4\/24 - k**3\/6 - k**2 + 25*k + 5. Let s(i) = -i**2 + i + 1. Let n be s(1). What is f(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34474, 69065, 103764, 138565, 173462, 208449?\n\"Answer: -l**3 + 60*l**2 + 34418*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/2)*w*w)\/w*w*w*w)\/(w**(-4\/21)*w) assuming w is positive.\nAnswer: w**(197\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = -38. Suppose 2*q - l*q + 296 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3626, 3628, 3632, 3638, 3646?\n\"Answer: h**2 - h + 3626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*l**2 + l**3 - 12 - l**4 + 4*l**3 + 358*l**2 to the form d*l**2 + t*l**3 + k*l + n*l**4 + q and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 298 - 3*y**2 - 151 + 0*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -608. Let u = 668 - o. Suppose 6*p + 153 = u. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 314 + 438 - 192 = 0 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(7\/3)*a*(a*a\/(a\/(a**1*a)*a))\/a*(a**(-1\/6)\/a)**(-2\/39) assuming a is positive.\nAnswer: a**(514\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 + 3*k + 5. Suppose -6*r = -4*r - 8. Suppose r*a = 9*a - 25. Determine j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767308, -767107, -766906, -766705, -766504, -766303?\nAnswer: -766102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.782658 * -4.2.\nAnswer: 108.2871636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1548 - 1388. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*i - 15 = -416*i - 19*y, 4*y = 4*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 755 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7a98 (base 13) to base 14\nAnswer: -63a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2400*-0.036918.\nAnswer: -88.6032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6337795\/756 - 100655\/12. Let i = 32\/7 + f. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.8037 times -6.9\nAnswer: 40.04553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -78608 > -78561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72741, -72745, -72749, -72753?\nAnswer: -72757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x + 2. Suppose 15 = 2*c - 2*o + 5, c - 1 = 5*o. Let u(m) = -m**2 + 6*m - 4. Let g be u(c). What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -2\/5, -4 in increasing order.\nAnswer: -11, -4, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/4))\/l**(-1\/12))**(-2\/43))**(2\/7) assuming l is positive.\nAnswer: l**(-10\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16825 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66428539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -266450646, -532901290, -799351934, -1065802578?\n\"Answer: -266450644*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x + 3*x + 5*x)*(-2*x - 2*x + 3*x) to the form g*x**2 + o + j*x and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -778331\/34212 - -2\/8553. Let f = 5765\/7 - 826. What is the common denominator of f and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855622733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1066018864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5222 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 1, t: 1, e: 2, i: 1}. Give prob of sequence ri.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1840 and 6320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 21. Let f(z) = -9*z + 41. What is 6*f(w) + 13*x(w)?\nAnswer: -2*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 7*j + 6310. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose -p - n*j + 29 = 4*p, -p = 4*j + 5. What is the least common multiple of 6 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 1, n: 1}. Give prob of sequence kkfn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*v - 163, -4*v + 3*p + 122 = -92. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5)**(-5)\/(j**(3\/11)\/j**(-7)))**(3\/31) assuming j is positive.\nAnswer: j**(-1065\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 8) + (-2 - 118\/(-38))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44907 = 4*j - 5*z, -61291 + 5173 = -5*j + z. Does 87 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51282 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23488241 divided by -1\nAnswer: 23488241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Let b(m) be the first derivative of 9*m**2\/2 - 1. Give g(b(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7*h. Let p(a) = 2*a**2 + 0*a + 0*a**2 + h*a. Let j(z) = z**2 - z - 1. Let t(m) = -6*m**2 + 7*m + 7. Let f(k) = -21*j(k) - 3*t(k). What is f(p(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30317, -4, 15 in decreasing order.\nAnswer: 30317, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 76505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33141429 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*d - 5 - 10*d + 8*d.\nAnswer: -37*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 8*w + 0*w)*(-5 + 2 + 6)*(-2*w + 2*w + w).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1 - c**3 - c + 3*c**2 + c. Let n be u(2). What is the second derivative of 7*g**2 - 2*g**5 - 7*g**2 + n*g wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3718037*y + 3718042. Calculate k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 - 139. Calculate the remainder when m is divided by (-44)\/((-2464)\/(-70)) - ((-73)\/4 + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -225272*o + 901112. Determine h(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 6.5. Let s = f + 0.4. Let q = 7 - 12. Which is the third smallest value? (a) -1\/8 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5085\/1364 + 147\/44. Suppose 0 = 116*c - 38*c + 28*c + 26*c. Is c <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23897.\nAnswer: 23, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 6 = -3*s. Let t(c) be the second derivative of 0 - 4*c - 7\/6*c**3 - 3*c**2 - 1\/12*c**4. What is t(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(2275\/(-30))*(-7)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012013 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5994480 divided by 124885\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 49420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715467 less than or equal to 1715463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwtwwww. What is prob of sequence ww?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/4, 1.2, 0.4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4213253 (base 6) to base 9.\nAnswer: -341126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 + r. Let q be a(-1). Suppose 78 - 197 = 466*u + 813. What is the second biggest value in q, -63, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*u + 349*x - 2086, 5*x - 26 = -4*u + 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 6*l**2 - 2*l - 3. Give h(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 58*q**2 - 88*q + 15. Determine a(27).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8386 and 5124?\nAnswer: 3069276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x + 2587 + 713. Let n = 278 + x. Solve 0 = -4*q - n*d - 18, -q + 0*d - 11 = 4*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let u be (-2)\/d*(-1 + 2). Let y = u + -1. Solve y = -6*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 251 = o + 5*y, -2*o + 523 = 3*y. Suppose -1478 + o = -4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31713 (base 8) to base 13\nAnswer: -605c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 12*u + 11. Suppose 0 = -3*d + 2*p - 39, 3*d - 6*d - 48 = -5*p. Let a be w(d). Solve a = -5*j - 6 + 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let x = 139 + -127. Let t be r(x). Which is smaller: t or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:53 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8237 - -14338233.5591?\nAnswer: 14346470.5591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.684 + 0.322. Round y to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6485 at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*u = 88*u + 28*u. Factor u + 1\/4*n**2 - 1\/4*n.\nAnswer: n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 53161*i**2 - 33*i - 26. Let t be n(-14). Suppose 2*a - 2*c - t = 0, -5*a + 2*c + 2*c = -26049984. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, 3462?\nAnswer: 3462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57909, -115815, -173725, -231639, -289557, -347479, -405405?\nAnswer: -463335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = -12755 + 13259. What is the remainder when 399 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42689555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -213804125 plus 0.1?\nAnswer: -213804124.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 559985123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (17 + 0 - 17 - -16) + -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -47*s - 20*s - 14 + 16*s + 4*s. What are the prime factors of n(-5)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -11. Suppose x*h + 15 = 15*h. Suppose h*n - 106 - 86 = 0. Calculate the remainder when n is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*v - 572116 + 572116.\nAnswer: 99*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310627, 621132, 931615, 1242064, 1552467, 1862812, 2173087, 2483280?\nAnswer: 2793379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5 + -8. Let b = m - 1.50008. Round b to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.414004 + -139924\nAnswer: -139924.414004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from tppqpqqppppttpqqt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*y - 6 = -0*y, -2 = -5*a - y. Let c(v) = a*v - v + v - v. Let h(g) = 7*g**2 - 4*g. Calculate c(h(b)).\nAnswer: -7*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. List the prime factors of (-2 - 13)*2\/j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13559 and 449831.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i - 14. Let b be x(6). Suppose -30 = v + b. Let a = v + 106. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 32. Suppose l*t - 155 = 13*t. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*q - 5*i + 7, 3*q = -i + 16. Let p(w) = -w**2 + 7*w - 17. Let a be p(q). What is the units digit of 2\/a + (-6672)\/(-80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o + r - 6405, 2*o + 2550 = -2*r. What is o rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 94*s**2 - 99*s - 1026. What are the prime factors of z(-11)?\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/90 + (-2768)\/144 + 19\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 5*c - 3, 0 = -j + c + 1. Let s be -1 + j - (-6)\/(2 + 0). Solve -q - 20 = 3*l, l = 2*q - s*l - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*q + j + 50, 0 = -q - 3*j + 43. Which is the closest to -1\/4? (a) q (b) 1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (2 - (11 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + v**2 + 3.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036522013.\nAnswer: 7, 31, 43, 46489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*r + 19 = 0, 14*r = -u + 12*r - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1279, 10117, 34101, 80803, 157795, 272649?\n\"Answer: 1262*y**3 + y**2 + y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 39524.\nAnswer: -3\/39524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 10*x**2 - 6*x - 4. Let h = -11 + 19. Suppose 15 = h*v + 55. Let w(s) = 4*s**3 + 9*s**2 + 5*s + 4. Let n(f) = v*z(f) - 6*w(f). Give n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*w + 32, -4*w = -2*w + 2. Let o(t) = s*t**3 - 2 - 3*t**2 + 5*t**2 - t - 7*t**3. Let u = 2 + -4. Determine o(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*v**3 + 494*v**2 - 477*v**2 - 3718*v + 3720*v)*(3*v - 5*v + 6*v).\nAnswer: 128*v**4 + 68*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9286d9 (base 14) in base 6?\nAnswer: 253520555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 1. Let z be d(-3). Let w(y) = y + 4. Calculate the smallest common multiple of 6 and w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 53392491.\nAnswer: 8\/53392491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowjwrl. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 4:29 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 11. Let k be ((-15)\/10)\/((-3)\/2). Let f be k\/(30\/16 - 2). Does 16 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014724 rounded to five decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/6)\/(2*1))\/((-210)\/(-2100))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 21. Let z be j(-3). Solve -5*h + 25 = -s, -3*s - 1 - z = -5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -12*c - 15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 2. Let f be 11569 - (-3 + 0\/p). Let j = -231347\/20 + f. Calculate the common denominator of j and 45\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2)\/(1 + 1). Let p(d) = 54 + 41 - 94 - d. What is p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 1:12 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - -6) + -5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 - v**3 + 8*v**3 - 18*v**3 - v + 2*v**4 - 5 - 3*v**4 wrt v?\nAnswer: -36*v**2 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*r = -18, -2*r = 65*j - 60*j + 4. Calculate the remainder when (-1 - 121)*3\/(-6) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 415*w**3 - 734*w**3 - 510*w**3 + (-2*w**3 + 0*w + 0*w)*(1 - 1 + 1).\nAnswer: -831*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2176, 2174, 2172, 2170?\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m + 13. Let o be n(6). Let z(c) be the first derivative of -5*c**2 + 815. Give z(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/5, 0, -1\/7, 110, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 35 = -m. Find the third derivative of 127 - 127 + 2*i**2 + 4*i**m wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 4*r**2 + 4*r + 4. Let a be y(5). Suppose -2*f + 2 = 5*h, 0*h - h - 14 = 4*f. What are the prime factors of (f - (3 + -2))*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by (-114)\/(-10)*(20 + (-22 - -7))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 16344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22*t**3 + 580*t**2 + 1975*t + 99. Determine i(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/81748710 and -129\/70?\nAnswer: 572240970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 738*b - 11419. What is p(16)?\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 36*d - 28460. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose 2*i - 4*i = l. Does 7 divide 0\/(-1) - i - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171184*o = -29*j + 171181*o - 131, 4*j + o + 21 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 53 = 3*l, 0 = 320*h - 428*h - 108 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 991, 937, 865, 769, 643, 481?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14392114 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -110, -112, -116, -122, -130, -140?\n\"Answer: -s**2 + s - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 24*t - 27*t - 27, -4*s + t = -16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19199482 is divided by 4799858.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t - 11. Let o(d) = d**2 - 9*d - 12. Let j(m) = m**3 - 2*m**2 - 7*m - 1. Let z be j(4). Let g(l) = z*o(l) - 4*r(l). What is g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*u + 2*t, 34*u = 29*u + 5*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -187370 (base 10) in base 2?\nAnswer: -101101101111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -41. Suppose 35*b - 108 = t*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -18. Suppose 10 = -3*h - u. Let d = h + 17. Solve 2*k = 5*x - 15 - d, 2*k + 4 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -90\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/3 + 320546660*t\/3 - 12843770154644450\/3 = 0.\nAnswer: 80136665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5870 - -5865. Let t be ((-6)\/(-15))\/(2\/10). Sort x, 5, t, -1.\nAnswer: x, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjxx when four letters picked without replacement from {j: 2, h: 3, x: 5, w: 5}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**0\/x)**(-25))**(5\/3)\/(x**(-2\/15)\/x**(-7)*x**(2\/11)*x**(-3\/8)) assuming x is positive.\nAnswer: x**(-63809\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:28 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = -6*h. Does 16 divide 6\/h - (-268)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*r = -r + 54, -3*r = 0. Let u = f - -42. Calculate the least common multiple of u and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-21))\/(-5*(-8)\/180)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20 (b) 0 (c) -0.2 (d) 0.06 (e) 1\/4 (f) -4\/151\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2 + -1)\/((-9)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5134 + -5129.1. Which is the third smallest value? (a) 1 (b) w (c) 3 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/i**3))**(8\/11))**(-21))**(-49))**(1\/57) assuming i is positive.\nAnswer: i**(8232\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1) + (-5)\/(-1). Let w(k) = 0 - 1 - 2*k + k. Let s(t) = -15*t - 6. Let d(m) = -8*m - 3. Let z(i) = 11*d(i) - 6*s(i). Determine v*w(x) + 2*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 1. Let a be t(2). Is (-2)\/a - 58\/(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1162510000 to the nearest 1000000.\nAnswer: -1163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:48 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/20 - w**4\/12 + w**3\/6 + 1781*w**2\/2 + w. Suppose -4*p + 3*k = -21, 8*k + 28 = 4*k. Is t(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -336 - -332. Sort 1, o, 4, -12, -2 in ascending order.\nAnswer: -12, o, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2143607 divided by -73\nAnswer: 2143607\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105746784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 at least as big as -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*-1 + 2. Let n be (-2)\/(1\/(1 - 0)). Let y = -1.2 + 1. What is the third biggest value in v, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -30 = -1903\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1650 and 111\/1012?\nAnswer: 75900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/5)\/(y**(1\/3)*y)*(y*y*y\/y**(-4))\/y**0*(y\/(y**(1\/2)\/y))\/y**3*(y*y**0)\/(y\/(y\/(y\/(y*y**(1\/4)*y)))) assuming y is positive.\nAnswer: y**(373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4010869, -8021741, -12032613?\n\"Answer: -4010872*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -28 + 10. Suppose 15 = 5*a - j - 17, 2*a - 5*j - 22 = 0. Suppose 2 - 6 + 11*r - a*r**2 + 2*r**4 - 2*r**z - r = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3472.\nAnswer: 5\/3472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-18)*(-16)\/20. Let m(t) be the first derivative of -2\/9*t**3 + 0*t**2 + 0*t + u*t**5 - 1\/9*t**6 + 1\/6*t**4 + 2. Find a such that m(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -37\/3572?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-4)\/(-32))\/((-8)\/(-224))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -749*h**2. Let v(f) = 2*f. What is v(l(d))?\nAnswer: -1498*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571719087 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86631.\nAnswer: 3, 67, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/72 - q**3\/36 - 6*q + 1. Let z(a) be the first derivative of p(a). Factor z(l).\nAnswer: l*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2 - 13*z + 10. Let i(d) = -3*d**2 - 7*d + 5. Let b(m) = -5*i(m) + 2*r(m). What is b(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -16, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398565 + 77396. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 30*g + 52 - 27*g + 193*g + 64*g. Let l(s) = -40*s - 8. Let m(h) = -32*l(h) - 5*y(h). Let r be m(-3). What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/(-3)*34\/(-85). Let d = 13.3 - 0.3. Let p = -12 + d. Which is the nearest to p? (a) -2\/7 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -0*q, -2*q = 5*d + 230. Let l = d + 151. What is the lowest common multiple of l and 8?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/11)*o)**(-40))**(2\/101) assuming o is positive.\nAnswer: o**(-1920\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(3) - (sqrt(27) + 3))*4)**2.\nAnswer: 5120*sqrt(3) + 8896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-l + 3*l + 0*l) - 2*l + 8*l + 6*l - 79*l + 7 + 74*l - 4.\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 502*c - 5. Let n be a(-6). Is (-8)\/(-6) - n\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20bb5b (base 15) in base 5?\nAnswer: 344332221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 65. Let y be l(21). Let t(i) = 9*i - 26 - 18 + y. Let s(g) = 5*g**2. Give s(t(h)).\nAnswer: 405*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkkkkkkdd. What is prob of sequence dkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, a: 3}. What is prob of sequence am?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10*c = -55 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 7694*b**2 + 107710*b\/7 + 53854\/7.\nAnswer: 2*(b + 1)**2*(b + 26927)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/8 - 2*a**2. Let y(u) = -u**2 + 4*u. Let t(r) = 3*r**2 - 11*r. Let d(c) = -4*t(c) - 11*y(c). Give s(d(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/55 and -86\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1207 (base 12) to base 11.\nAnswer: 157a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/64 and 37\/808?\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -94. What is the second smallest value in -0.1, d, -1, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 4, g: 7, j: 2, y: 1}. What is prob of sequence dj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12300 (base 8) to base 16.\nAnswer: 14c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.09 and -150846.89.\nAnswer: -150848.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5339 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200110011 + -121?\nAnswer: 2200102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10480 + 4595?\nAnswer: 14a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/42 + -3\/14. What is the smallest value in -2\/23, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2050\/10047?\nAnswer: -2050\/10047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j*j*j**(2\/29)*j)\/((j*j*j\/(j\/(j*j\/(j*j*j\/(j*j*j\/(j\/j**(-1\/3))*j))))*j)\/j**1) assuming j is positive.\nAnswer: j**(383\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 + 3*u. Let z(k) = 7*k**2 - 3*k - 1. Let m(b) = -5*s(b) - 4*z(b). Let l be m(11). Let t = 321 - l. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36349*p**2 + 63306*p?\nAnswer: -72698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + g - 2. Let j be y(2). Let z = 579.685 + -580. Let l = 0.685 - z. Which is the nearest to -3? (a) l (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p**3 + p + (0 + 2*p + 0)*(-2*p - 2*p**2 + 2*p) - 1 - 2*p**3 + 1)*(6 + 3 - 19)*(-p + 5*p - p).\nAnswer: 120*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 9 (c) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6374*q - 2339*q + 770*q + 1044*q**4 wrt q?\nAnswer: 12528*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/3)\/(2\/3). Let p(l) = l**2 - 3*l - 3. Let k be p(z). Let n = 10235 - 10232. Put -3, k, n in increasing order.\nAnswer: -3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d + 3*n = 3, d + 4*n + 14 = 0. Suppose g - 7 - 59 = 0. What is the greatest common divisor of d and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24 + 18\/(-6) - (0 + -3). Let j = n + -18. Suppose -j*i = -11*i. Solve i = y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 36*h + 11*h.\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 + -2.8. What is the closest to -1 in -2\/7, s, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71567911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w - 135 = 429 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2446 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 26 + 277*h**2 + 4*h - 41 to the form m*h**2 + l*h + i and give m.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 8*n - 4. Calculate s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45396\/(-130)*(-20)\/3 is divided by 1162.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25231 - 1715747\/68. What is the common denominator of 43\/2 and l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/7, -77, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16900 + -676071\/40. What is the common denominator of m and (-403)\/(-576) + (-4)\/(-18)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3656 = -2*f, 0 = -5*o + 5*f + 6790 - 705. Let v = 319 + -672. Let d = o + v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)*w*w**(-17)\/w)\/(w**2\/w*w**19) assuming w is positive.\nAnswer: w**(-261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 46756.\nAnswer: 7\/46756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -5946?\nAnswer: -5941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -98 (c) -3\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 2796*j**2.\nAnswer: 2*j**2*(j + 1398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2702880 and 360384.\nAnswer: 5405760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1176 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.0493 weeks to hours.\nAnswer: 77288.2824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 36 = -2*v. Suppose 0*u + 3*u - 15 = 0. Let -2*w**2 + 0*w**3 - 2*w**5 + 2*w**3 + w**u - w**3 + 2*w**v = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(((-14)\/(-28))\/((-4)\/(4\/1)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 61*q - 482. Determine o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(21\/(-3)))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + i**5 + (-1 - 2*i**4 + 1)*(3 - i - 3) - 3*i**5 + 3*i**5 + i**5 + 4*i**4 + 6*i**4 - 13*i**4 - i**5 + (-i + i - 2*i)*(3*i**4 - 5*i**4 + 0*i**4).\nAnswer: 7*i**5 - 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 11:24 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10112?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 36*r - 4. What are the prime factors of z(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*r**2 + 2*r - 156 wrt r.\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 3 - 3 - 2 + 1. Let j(n) = -n - 6. Let c be j(-6). Calculate b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 15*l + 73. Let i be o(8). Solve 4*r - 5*v + i = 0, 2*r - 3 = v - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 15, 14, 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kukpg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 1654\nAnswer: -56236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -547370 divided by -862.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l - 2. Let z be c(-4). Suppose -g - 230 = -z*g. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {l: 2, b: 2, d: 1, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-85 - -79)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = 4*p + 1, -14 = -5*p - 3*u. Suppose 0 = -p*w - 3*m + 27, 6*w - w = -3*m + 36. What is the least common multiple of w and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**3 + 6. Let c(m) = -m - 1. Let i(w) = -w**2 + 3*w + 3. Let r(g) = 6*c(g) + 2*i(g). Determine v(r(z)).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (5 - 2) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 602070419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02484 - -0.02477087. Round y to 6 dps.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*b**2 - 2 + 11*b**3 - 198*b**3 + 91*b**3 + 95*b**3.\nAnswer: -b**3 - 1931*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 4, 0.2, -0.3, -0.103?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 - 320088*w**4 + 8540267484*w**3 - 119500695714*w**2 - 8540267487*w + 119501015802 = 0.\nAnswer: -1, 1, 14, 53341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 11:33 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 0.1, -4.357?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggcgcmgjcm. What is prob of sequence mmgj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + a**4 - 5 + 6*a**4 + 3 - 9*a**4 to p*a**2 + g*a**3 + m + c*a + f*a**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 56*h + 468. Calculate the least common multiple of 558 and f(-63).\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5253*b**2 - 11692*b**2 + 5002*b**2)*(-10 + 10 + b) + (2*b**2 + 2*b**2 - 2*b**2)*(2*b - b - 3*b) to the form f*b + h + i*b**3 + j*b**2 and give i.\nAnswer: -1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (23 + -21 + 3 - 18) + (-3 - -4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = y + 19. Let j = 0 - y. Let z = j + 2. Calculate the lowest common multiple of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 8*b**3\/3 + 4*b + 6. What are the prime factors of g(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 38591\/32, 3, -2\/9, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17591\/1710 - 644\/57. What is the common denominator of -61\/387 and p?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522481 and 63023.\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y - 3903 = 277*y + 3537 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 794*t + 27796. Calculate d(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + (-22275)\/(-54). Suppose -6*y + x = y. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 11*q**2 - 3. Let c be g(11). Suppose -j + 4 = -4*w - 40, 0 = j. Let i be w\/c*(-42)\/7. Which is smaller: i or -21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2919 is divided by 956.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*m + 2*m. Let i(h) = 5*h - 25. Does 13 divide i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1884618 by -4.\nAnswer: 942309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c - 132. Calculate s(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, 37, 473, 1199?\n\"Answer: 145*i**2 - 289*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13980)\/(-14) - 159\/(-371). Let n = w - 394. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7519757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19154839 divided by -353.\nAnswer: -54263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*t**5 + 825*t**4 + 3*t**2 - 9300*t + 36 wrt t.\nAnswer: -440*t**3 + 9900*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -3*r - 59, -107*r + 108*r - 17 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -20, -22, -20, -14?\n\"Answer: 2*p**2 - 12*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1405 = 4*q + q. Suppose -2*c + 4*h = 256, 3*c + q = -5*h - 59. Let d = 205 + c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqnqnf. Give prob of sequence qnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = 0. Let k(m) = -1 - 14 - 2*m - 5. Let h be k(-13). Sort h, 1, i in decreasing order.\nAnswer: h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*x - 1366*x + 608 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -1.4. Which is the closest to x? (a) 2\/11 (b) -2\/13 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/120 - k**5\/20 + k**4\/24 - k**3\/6 + 16*k**2. Let i be t(3). Suppose i*j - 21 = j. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114.69 + 1.81. Let k = p + -96. Let m = 20 - k. Sort -0.1, m, -5.\nAnswer: -5, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094306 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11ebd (base 16) to base 11\nAnswer: -50172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from zzrrzrzzrrrrrrrzrrz.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007726773 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*z - 128*z + 385*z)*(-5*z**2 - z**2 + 4*z**2).\nAnswer: -842*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2983509.\nAnswer: 596701.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -22235)\/(-2) + -4. Suppose -13*g = -g - o. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21282, 21232, 21182?\nAnswer: 21132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4*h - 67. Let g = 2888 - 2881. What is x(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 189865 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2952 = -4*c, c - 738 = 6*d - 8*d. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 5*o + 3*y = -108, 0 = -2*o + 4*y + 32. Suppose -o*l + 622 - 190 = 0. What is the remainder when 155 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5 (c) 10661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + j + j + 0*j + 2*j + (0 + 1 + 0)*(-3 + 3 - j) + 0*j + j - 3*j - j - 2*j + 5*j - 64*j - 182 + 182 - 3*j + 3 - 6 - 3 as u*j + s and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*z - 3*h, 0 = -36*z + 37*z + 2*h + 14. Solve -50 = -z*q - b - 42, -3*b = 2*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -2. Let k = -4 - j. What is the units digit of k\/((-6)\/4 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*y = 12, -y + 26 = 3*k + 4*y. Let v = k - -31. Suppose -2*m = -56 - 138. Calculate the remainder when m is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2186*f**4 + 2*f**2 - 5448*f - 4?\nAnswer: 26232*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 5*d - 4*d + (2*d - d + 4*d)*(2 - 3 - 3) + 2*d - 5*d + 2*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138807.\nAnswer: 3, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d**2 - d - 3. Let k be b(-5). Let y(v) = -3*v**k - 4*v**2 - 1 + 8*v**2. Suppose 3*m - 7 + 1 = 0. Determine y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/738)\/(30\/24)*1\/2.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5*282\/(-3290).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 0*h**2 + 3*h**2)*(8*h**2 - 2*h**2 - 2*h**2) + 0 + 0*h**4 + 1 - 2*h**4.\nAnswer: 2*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057 - 2057 - 3*i + 2*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 15 = -o + 4*l, l = -3*o + 11. Suppose -o*f + 17*f = -24. Which is smaller: -13 or f?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49 (b) -2\/9 (c) -1\/6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -105929 greater than -105929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11497*r**6 + 114*r**2 - 135*r - 2 wrt r?\nAnswer: -1379640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**3 + 68*u - 43. Let b(r) = 2*r**3 + 23*r - 15. Let s(i) = -17*b(i) + 6*y(i). Let c(d) = -3*d**3 - 6*d + 1. Calculate 17*c(m) + 6*s(m).\nAnswer: -3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (115\/69)\/((-4)\/(-12)). Solve b*g = -4*s - 8 + 3, 20 = -4*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p*u**3 - p*u**2 + 6*p + 5*u**3 + 2 wrt u.\nAnswer: -12*p*u**2 - 2*p*u + 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*n + 5*v + 4, 9 = 3*n - 3*v. Let o = 138 - 126. Suppose -47 = -o*u + 1. Solve 5*b + 5 = -n*y, 14 - 2 = -u*b - 2*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in 3630, -50, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5096810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2044*q**2 - 6*q - 5872. Let u(g) = -4091*g**2 + 13*g + 11746. Let i(n) = 6*u(n) + 13*x(n). Differentiate i(a) wrt a.\nAnswer: 4052*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2607817 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26910729.\nAnswer: 3, 37, 211, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2117 (base 8) to base 15\nAnswer: -4d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 95379\nAnswer: -95379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -66, -118, -222, -396, -658, -1026?\n\"Answer: -3*s**3 + s**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, w: 1}. What is prob of picking 1 p and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -0.1. Let u = 4.9 + -2.9. Let m = u - l. Is m >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3997?\nAnswer: 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*10\/(-7)*(-189)\/(-5616).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*76\/(175560\/126)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 478*h**3\/3 - 793*h - 96. Differentiate a(g) wrt g.\nAnswer: 956*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(153) + 3).\nAnswer: -9*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x - 29*x - 2*x**3 - 770*x**4 - 3 + 37*x**2 + 769*x**4 to the form l + k*x**2 + j*x + o*x**4 + i*x**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127 - 35) + 194 + (98 - 0).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253865786611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 37704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-108))\/((697\/153)\/41)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7635*n + 3827*n + 3808*n + 147*n**3 - 1528*n**2 wrt n?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - -4. Let i = p + -52. Let g be ((-36)\/(-15))\/((-6)\/i). Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271\/88 - -38\/11. Let w = 35 - 33. Which is the nearest to -2\/7? (a) d (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(220\/12))\/((-616)\/1680)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/7)\/n)\/(n*n**(-8)))**(2\/3))**(-4\/3) assuming n is positive.\nAnswer: n**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/55, 2 in descending order.\nAnswer: 2, 0, -3\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(0 + sqrt(3)) + (sqrt(3) + -1)*-6 + -1.\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(270)*-2 + sqrt(30) - sqrt(30)) + sqrt(30)))\/(-2*sqrt(250)*-4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (-115 - (-127 + -94)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 8, z: 2, m: 3}. Give prob of picking 2 i and 1 k.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -112. Suppose 0 = 7*y - 2 - r. Solve 22 = -4*o + y*i, o + 3*o + 18 = -2*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*v**4*x - 70*v**4 + 11*x - 9 wrt v.\nAnswer: -12*v**3*x - 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1765552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 426822249736.\nAnswer: 426822249736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1452015\nAnswer: 1\/1452015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*l)*(2 - 2 - 1) + l - l - l - 4*l - 4*l + 3*l - 5*l - l + 4*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)*n**(-2\/59)*n**(-20)\/(n*n\/(n\/n**(-23))) assuming n is positive.\nAnswer: n**(-1182\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -201201121 (base 3) in base 16?\nAnswer: -382c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c - 5475 = -7*c. Let t = -208 - c. Calculate the lowest common multiple of 25 and t.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*s + 5 + 9, 2*d + 4 = 0. Let w(b) = -b**2 + 4*b**2 - 205 - 87 + 3*b**2 - 4*b**s. Let f(j) = j. Determine f(w(v)).\nAnswer: 2*v**2 - 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 340637, 681273, 1021909, 1362545, 1703181?\n\"Answer: 340636*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 109*k + 10063. Determine r(-96).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 7*i - 5*i. Let t = -131 - i. Let z be 4 + t + 7 + -1. Solve -z = -r + 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -78047881809523 from 0.3.\nAnswer: 78047881809523.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2 - 0)\/(-14)). Let z be 2\/d - (-36)\/21. Factor -2*a + 0*a + 0*a**2 + a**z.\nAnswer: a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 0. Let a(m) = -5*m - 12. Let u be a(c). Let w = u - -91. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/11 + 1*1620\/1650\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdmaaakdkgdmkgafadaa. Give prob of picking 2 a and 2 k.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 21*v - 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdppddppddrrdrdp. What is prob of sequence rpr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 385\/125 - 3 - (-1589)\/(-175)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124.8122 rounded to the nearest 10?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 31*x - 10. Let n be a(-15). Suppose 0 = -b + 5*f - 13 + 36, 0 = n*f + 20. Solve -3*p - 18 + b = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/((q\/q**12)\/q))**(-6\/17) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-3 - 8\/(-2)). Let z be (x + -4)*2\/6. Suppose z*w + 3*w = 144. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*54\/(-11016)*-4*96\/(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsttr. Give prob of picking 1 s and 1 r.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -14*i - 20. Suppose -v = -l + 60, -i*v = 4*l - 115 - 134. Suppose 0 = 65*f - l*f - 16. Sort -1, f, 0, 2.\nAnswer: -1, 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501 + 504. Solve 0 = -x*q - 5*m + 17, 4*q + 4*m = 34 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6\/11)*s)**(-21))**(-1\/10) assuming s is positive.\nAnswer: s**(168\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14467*m - 72. Let z(r) = -7234*r + 32. Determine -4*v(q) - 9*z(q).\nAnswer: 7238*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6725786*y + 4136094 wrt y.\nAnswer: -6725786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 2*x + 11. Suppose -6*m + 2*m = 3*l + 15, 0 = 5*m - 5*l - 25. Suppose 2*g + m*g = -3*z + 25, 0 = -5*z - 5*g + 40. Does 22 divide k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-3 - -2) + 3. Let j be a\/(-3) - 115\/3 - -3. Let b = j + 42. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4629 - -900. Let x = 82057\/22 + f. Find the common denominator of x and 3\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(5 + (sqrt(252) + sqrt(252)*3 + -4 - (sqrt(252) + 1 + -1 + sqrt(252))))*6)**2.\nAnswer: 2016*sqrt(7) + 145201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*b = -49, -6*b = -2*t - 3*b - 126. Let h = t - -103. Let u = 142 - h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37709572 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*h - 5*o + 54, -5*o + 25 = 2*h. Let x be 164\/(-10) - (-8)\/h. Let m be ((-6)\/4)\/(4\/x). Does m = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176099 divided by -4\nAnswer: -176099\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2347? (a) 2\/9 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*i - 708, 5*l - 3*i = -1149 + 2919. Solve 3*g + 4*u = -26, 3*g - 359*u = -l*u + 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12*z - 4. Let x(t) be the third derivative of -11*t**4\/24 - t**3\/2 + 180*t**2. Give -3*s(h) + 4*x(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1984023 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umumumzquummummozum. Give prob of picking 2 u.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 + 317433*g\/2 + 33587903163\/4.\nAnswer: 3*(g + 105811)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, -15690, 1 in increasing order.\nAnswer: -15690, -3, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*m - 36 = 34, -d + 45 = 2*m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + -41. Let g = -8 + 12. What is the remainder when p\/10 + (-2)\/5 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -550, -594, -648, -706, -762, -810, -844?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1142235 by -126915.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 6. Let h be o(-12). Let c be h\/(-42) + 806\/7. Suppose 5*d = 5*x - 0*x - 170, -c = -4*x - 3*d. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, e: 3, z: 3, p: 2}. Give prob of picking 2 x and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4432.574 microseconds?\nAnswer: 4.432574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 - 3*y**2 + 19 + 2*y - 8*y**2 + 2*y**2 as n*y**2 + k*y + r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 14 + (19 - 40) + (87 - 6).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55655898843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 - d**4\/6 + 2*d**2. Let t be m(-4). Let u = 3 + t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.5634 rounded to 0 decimal places?\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 26 = -3*h - 8, 4*c - 2*h - 28 = 0. Solve -7*y = c + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7966387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 732367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-15)*(-12)\/10. Let t be ((-10)\/p)\/(2\/(-4)). Let h = t + 9. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69291, -277173, -623643, -1108701, -1732347, -2494581, -3395403?\nAnswer: -4434813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7)*(n**12*n)\/n)**25 assuming n is positive.\nAnswer: n**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 10.37?\nAnswer: -10.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 80, 126, 208, 338, 528, 790?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1daf (base 16) in base 13?\nAnswer: -35c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -104 + 119 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/7 + 240*r\/7 + 7200\/7 = 0. What is r?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 180441, 180261, 179971, 179577, 179085, 178501, 177831, 177081?\n\"Answer: c**3 - 61*c**2 - 4*c + 180505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - (8 + (-11 - -8))) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1848\/(-96) + 23)\/(-4*9\/(-336)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*((-140)\/(-49))\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 3)\/(-2 + 4). Let a = -7 - -12. Solve 0 = 3*d - 5*p - 10, -a*d + 8 = -o*p - 2*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(-3*n + 0*n + n)*((4 - 5 - 1)*(3 - 3 + 4) - 1 + 3 - 4 + 5 - 5 - 2).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1990793 and 0.074?\nAnswer: -147318.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from {i: 11, n: 4, b: 1, v: 1, w: 1}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -2\/23, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1042914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/6)\/(b\/b**9))\/((b\/b**(-10))\/b**(-6\/11)))**(-22\/3))**(-4\/15) assuming b is positive.\nAnswer: b**(-196\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -31. Let b(j) = 22*j**2 - 2*j - 3. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-6)\/sqrt(3))\/((6*sqrt(126))\/sqrt(7)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 9. Give p(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5373 is divided by 455.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26519, 52070, 76665, 100304, 122987?\n\"Answer: -478*c**2 + 26985*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.199948 and -90215548.\nAnswer: -90215549.199948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + g - 2 = 1, -5*g - 21 = 3*x. Suppose 0 = 2*w - 10, -5*k - 2*w - 137 + 132 = 0. Let l = -0.2 + 4.2. What is the closest to -0.1 in k, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-397900)\/(-1730865)*18\/10\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2559 divided by 1\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a - 6*a + 7*a - 4*a**2 - 22*a**4 + 15*a + 2*a**2 as o*a**3 + r*a**4 + q*a**2 + f + z*a and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 2. Let x = -32 + 34. Suppose -15*f + 3*f + 72 = 0. Suppose 4*b - f - x = 0. What is i(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13)\/(-15) - (-4)\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (56\/(-180))\/(8\/(-170)) and 125\/(-66) - 2\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5*l + 25\/6*l**2 + 5\/6*l**3.\nAnswer: 5*l*(l + 2)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 93. Let b = -62 + 10. Let t = b - d. Solve -t*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 12. Let b be l(0). Is 14 + b\/(-4) + 2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c + 10. Let x be z(-3). Is 7 a factor of 0 + 1 - 2\/(x\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*p + 139*p - 80 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -20. Let o be (1 - -2)\/(6\/(-4)). Let f = z + o. Put 3, f, -4 in decreasing order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 4\/15*k**2 - 26*k - 1\/3*k**3 + 2\/9*k**4 + 0*k**6 - 1\/15*k**5 + 1\/315*k**7 + 0. Factor n(a).\nAnswer: 2*(a - 1)**4*(a + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 2, i: 6, s: 3, h: 1}. Give prob of sequence ip.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/20 and -75\/8762.\nAnswer: 87620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 13. Let a be ((-40)\/(-5))\/((-2)\/(-6)). Let y = a - t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2036 * -0.4.\nAnswer: -814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1144*h**3 + 0 + 2933*h**3 + 2*h**2 + 1 to w*h**3 + v + z*h**2 + b*h and give w.\nAnswer: 1789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 1013, 1520?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 5*x - 1. Let m(t) = 11*t**2 + 4*t + 6. Let i(y) = -2 - y**2 + 3 + 2*y**2. Let r(a) = -5*i(a) + m(a). What is -4*p(g) - 5*r(g)?\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/10 - (-21 - 3164\/(-140)). Sort l, 1.79, 0.5 in decreasing order.\nAnswer: 1.79, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -7, -4, 2290?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -2.1. Let k = v + -1.436. Round k to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.565 milligrams in grams?\nAnswer: 0.405565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/12 - (44\/14)\/2. What is the closest to -2\/5 in l, -1\/2, -0.01?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:49 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -14. Let x be -1 + 4 - (8 + -10). Suppose -4*g - 3*y - 3 = 0, -g - x = 3*g + 5*y. Solve 4*a - u + 9 = g, -3*a - f = -2*u - 2*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61669626*a**3*j**2 + 26*a**2*j**2 + 20*a**2*j - 3*a**2 + 7*a*j + 30*a - j wrt a.\nAnswer: 370017756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 9)\/(1\/(-5)). Find the second derivative of 34 - 34 - o**5 - 2*o**t - 35*o wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -228.4.\nAnswer: -231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + 0.9. Let m = 26911.9932 + -26907. Let b = m - u. Round b to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 4. Let o be h(3). Suppose 4*d = 3*q - 0 + o, 0 = 3*d - 5*q - 9. Calculate the smallest common multiple of 2 and -2 + d + 12 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 + ((-442076)\/(-103))\/(-116)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(17)*1 + sqrt(17) + 0 + sqrt(612) + -3.\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7395450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*s + 27, 5*f - 142 = 9*f - 3*s for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:22 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*a - 2024, 5*u = -4*a + 727 + 907. List the prime factors of a.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/3 (c) 32 (d) -0.3 (e) 1 (f) 2700\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*m**2\/5 + 366044*m\/5 - 146344.\nAnswer: -4*(m - 2)*(23*m - 91465)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16 - 42*s**3 + 167*s**3 - 3*s**2 + 10*s - 38*s**3 - 46*s**3 - 40*s**3. Give z(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33492700 divided by 8373175.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 95 - 24)*(-385 + 385 + 77*d**5).\nAnswer: 2079*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 615\/2618 + -93\/238. Let o(k) = k**2 - 4*k - 5. Let s be o(5). Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*o - 39 + 54, -5*o - 20 = 4*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 600768.\nAnswer: 33042240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9814759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let i(t) = -2*t. What is -3*i(s) - 2*r(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 fifth root of 286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3892?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(1700) + 2 - (sqrt(68)\/sqrt(4) + -4 - sqrt(17))).\nAnswer: 7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346275984.\nAnswer: 2, 3, 69714083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -83800 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 20. Let u be w(8). Let a(p) = -7*p - 1. Let y be a(11). Let l be 3\/u + y\/(-120). Is 1\/2 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28154971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + 154 - 97*g - 77 to l + n*g and give n.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2831 - -0.2831. Is 10103 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 + 4*l + 2. Let d be z(-4). Let a be 40\/2*d\/(-4). Let m(p) = 9*p - 26. Let v be m(4). Calculate the greatest common factor of a and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 19 = -5*s, 20 = -7*f + 2*f. Let w be (2 + 8)*(-16)\/(-20). Which is the biggest value? (a) -3 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 2:20 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:38 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2 - 2 - 1 + 2 + (-2 - 1 + 1)*(-3 - 2 + 6))*(4*q - 2*q + 3*q**2 + 48*q**2 - 1).\nAnswer: -306*q**2 - 12*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6 - 7 + 688*c - 43*c.\nAnswer: 645*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 568, 881, 1180, 1459, 1712, 1933, 2116, 2255?\n\"Answer: -u**3 - u**2 + 323*u + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1873*n**2 + 913.\nAnswer: -3746*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62617 is divided by 375?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6*(-16)\/(-14))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*w - 11 + 1 - 231*w + 4 + 5.\nAnswer: -748*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 28 - 211*j**2 + 212*j**2 - 7 + 18*j. Determine m(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.36 (b) -0.0107 (c) -1\/4 (d) 0.5 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**(-7)*((r**(2\/5)*r)\/r)**(-3\/22))**(-21) assuming r is positive.\nAnswer: r**(1218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/100 and -63\/80840.\nAnswer: 404200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-42)\/(-3))\/2. Let p be ((-2)\/20)\/(4\/v). Let x = 70 + -208\/3. Which is the third biggest value? (a) -4 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 100000100?\nAnswer: 100000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(700) + -4*(sqrt(700) - 1*sqrt(700)))**2*-3.\nAnswer: -2148 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 146, 227, 308?\n\"Answer: 81*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000270544 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/45 - (-2096)\/30. Suppose -4*l + 4*c + t = l, c = l - 13. Suppose 0*h - h + 11 = 0. What is the remainder when l is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2\/5*((29583 - -260) + -3 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 - 4.1. What is the smallest value in -1, k, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 2*x**2 + 26*x + 25. What is k(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b964 + -1?\nAnswer: b963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*c + 11, 51 - 47 = -4*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1105*k**3*n**4 + 119*k**3*n + 3*k*n**2 wrt n.\nAnswer: -26520*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, -81, -120, -159, -198?\n\"Answer: -39*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*r**3*v**2 + 7*r**3*v - 16774*r**3 with respect to v.\nAnswer: -116*r**3*v + 7*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2 + (-12)\/6*-1. Let j(x) = x**3 - x**2 + 1. What is j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1148, 9464, 32138, 76352, 149288, 258128?\n\"Answer: 1197*p**3 - 3*p**2 - 54*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at least 16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 385 (b) -104\/23 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12099\/(-68 - 41))\/6?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -108*u**5\/5 + 9*u**2\/2 - 22. Find the second derivative of b(h) wrt h.\nAnswer: -1296*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-32)\/(m**6\/m**(-6)) assuming m is positive.\nAnswer: m**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408.03 - -408. Which is the second smallest value? (a) 0.3 (b) z (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**3 - 2*u**2 + 7*u - 12. What are the prime factors of c(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32655187?\nAnswer: 32655187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381799 a multiple of 569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*n - 2*g**2 - 95*g*n - 538*n wrt g?\nAnswer: -2*g*n - 4*g - 95*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -133*u - 158. Let t(g) = 132*g + 126. What is 4*i(y) + 5*t(y)?\nAnswer: 128*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(66))\/(2*sqrt(726)) + 4.\nAnswer: 3*sqrt(11)\/22 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-20)\/(-240)*6\/(-4)). Solve 2*h + 7*x - 22 = 0, -2*h - y - 10 = -3*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 10 + 29. Let l = -11 + d. Let s = 176 - 112. Calculate the highest common factor of s and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 - 11*s + 27. Let u be w(-13). Let l(y) = y**2 + y + 1. Let c(z) = -12*z**2 - 8*z - 8. Give u*c(k) + 8*l(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241321\/18 - 13411. Suppose -5*a - 5*r + 19 = -106, 4*r + 80 = 2*a. What is the common denominator of k and (28\/a)\/((-12)\/9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 1.2, -0.049435?\nAnswer: -0.049435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -2055 (c) 2\/19 (d) -5\/6 (e) 1 (f) 4 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6910484, 13820968, 20731462, 27641972, 34552504, 41463064?\n\"Answer: c**3 - c**2 + 6910480*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4128208, 8256433, 12384684, 16512973, 20641312?\n\"Answer: 2*y**3 + y**2 + 4128208*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18 + 3 = 0. Suppose 4 = j*l + l. Suppose -4*o - 4*p + 3 + 5 = 0, 5*o + 4*p = 10. Solve -3*d + 7*d + 3*b = -l, -5*b = o*d - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 + 5*h + 6. Let z be 6\/(12\/10)*-1. Calculate f(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 8*w + 34. Let b be m(3). Suppose l = 58 - b. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 11:44 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:22 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 106275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*i - 64*i**2 - i**3 + 63*i**2 + 19*i wrt i.\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 325 + -205. What is the lowest common multiple of 62 and j?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93533402 rounded to the nearest one million?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387\/29 - 29111\/2088. What is the common denominator of 65\/6 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 4. Let k = -31 + 52. Suppose 7 = -4*v - k. Let d be l(v). Solve -5*r = -0 - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259376 and 50224?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15014 + 75073\/5. Which is the second smallest value? (a) -2\/37 (b) -75 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 - 2*n - 1. Let l be p(-1). Let q be 5\/(-10)*l\/(-14). Which is the nearest to 1\/4? (a) -0.2 (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*237.3\nAnswer: -6644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*m - 0*m - 5*b, 5*m - 3*b = 15. Suppose -4*x + 61 - 21 = m. What are the prime factors of 675\/x + (-18)\/(-12)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 e, and 1 b when four letters picked without replacement from lezsbolbz?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixxx when four letters picked without replacement from {x: 7, i: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32101 (base 4) to base 10.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 1 + 3. Let h = x + 6. Suppose -2*q - 7 - 10 = -h*f, -3*f + 12 = -3*q. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i**2 + 3*i. Let j(a) = 2*a**2 - 17 + 70 - 53. Give l(j(c)).\nAnswer: -72*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -m - 11 - 7, 4*b + m = -14. Let a be (-76)\/8 + 9 - (-5323998)\/b. Round a to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 985425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66943367 + 4?\nAnswer: -66943363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/3 - -4. Let n be ((-8)\/4)\/2*-8. Suppose -2*j + 5*g = -25, -4*g = j - n*g - 20. Is a at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 181, 188?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6892539 by 1201.\nAnswer: -5739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d - 163512 = -107*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u - 18. Let r(x) = -7*x - 9. Let n(f) = 6*q(f) - 11*r(f). Let h(j) = -49*j - 58. Let p be h(-1). Let b be n(p). Which is smaller: b or -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727521754.\nAnswer: 2, 7, 47, 375059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 47*u**2 + 350*u - 31. Calculate l(-9).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 43*v - 83. Determine b(4).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r - 8 = 0. Solve -n = o + r - 4, o = 2*n + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 557907988*c. Let d(a) = a. Determine d(g(f)).\nAnswer: 557907988*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.65 + -3.55. Let o = w - -3. Which is the nearest to 0.2? (a) o (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 603\/335 - (-2)\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1600 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**4*l)\/l**(-27)*l\/((l*l*l*l\/(l**(2\/85)*l*l))\/l*l*l)*l\/(l\/(l**(-1\/9)*l)) assuming l is positive.\nAnswer: l**(24413\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0.0412, -11.\nAnswer: -11, 0.0412, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 1. Let s be b(8). Let f = -23 + s. Is -5 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334968 divided by -821\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 - (7 + 42\/(-18)). Does 14 divide 677*4\/v*(-2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**3 - 35*p**2 + 29*p - 15. Let m be y(5). Solve 2*b - m*v = -4 + 27, b - 2*v = 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7531419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4985*h - 4986*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by (192\/18)\/(4\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y. Let d be -12*(-32)\/12 - (4 + -3). Suppose 4*n - 8*n + 30 = -2*z, -n = 3*z + d. What is the tens digit of h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 (base 12) to base 16\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(s**2 + s**2 - 3*s**2) - s**2 + 13*s**2 - s + 14*s**2 + 2*s**2 - s**2 + 2*s**2.\nAnswer: 27*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2144080 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/15 + -2)\/(-49 + (-49086)\/(-810))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 1, r: 1, c: 2, g: 2, m: 1}. Give prob of sequence pa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -11420698.\nAnswer: -1484690.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 354 = -2*t - 7*z, 0 = -3*z - 6. Is -179 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -54*w - 4*w**3 - 5*w**2 - 5 - 2*w**3 + 5*w**3 + 49*w. Determine g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5350765 is divided by 198175.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:59 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - (2 + 1)) + -9 + 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 456105.\nAnswer: 456100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000366704 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 18*u**2 - 18*u - 15. Let k be d(19). Put k, 70, -2 in increasing order.\nAnswer: -2, k, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 3*q + 32. Let v be t(-7). Let x be (24\/4)\/6 + -1 + 5. Solve -x*n - 5 = -v*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.96 (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2. Let m(h) = -12*h**2. Determine m(q(w)).\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * -0.5.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 + d + 111 + 154 - d**2 + d**3 - 5*d to c*d + x*d**3 + r*d**2 + n and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 121002?\nAnswer: 121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:58 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*c - 119*c - 6 = 122*c. Calculate the greatest common factor of c and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 320*r + 420. Let k(h) = -h**2 - 285*h - 420. Let o(w) = -4*f(w) - 3*k(w). Factor o(b).\nAnswer: -5*(b + 1)*(b + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 397562 and 99922.\nAnswer: 18685414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 75*u + 182. Calculate h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15986957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -4 (c) -4\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7519*j. Let g(q) be the second derivative of q**3\/3 - 2*q + 6440. What is g(r(k))?\nAnswer: -15038*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-16) - 22\/(-4). Solve i + 4*b = 8, -g*i = b + 3*b - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (7 + -2 + 12 - (-28 - -126))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 - 11*n**2 + n**2 + (0 + 0 - 2*n)*(2*n - n - 3*n) + (n - 3*n - 4*n)*(-n + n - 3*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1842, 6, 2\/15.\nAnswer: 2\/15, 0.2, 6, 1842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-38)*r\/(r*r**(6\/7))*r)**(-46) assuming r is positive.\nAnswer: r**(11868\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -9\/4, -6, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/2 - 499*r**2\/2 + 29720*r + 322650 = 0.\nAnswer: -10, 239, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2641177 and 480214.\nAnswer: 5282354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 594240800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 31 + 31. Let v(q) = q**2 + 13*q + 4. What is the lowest common multiple of z(1) and v(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 92051*f**2. Let z(q) = 2*q. Determine v(z(p)).\nAnswer: 368204*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -1 (c) 13 (d) -0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 137*h + 3 - 2 to the form y*h + n and give y.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)\/(9*(-12)\/(-1044))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, -1, 0, 218 in descending order.\nAnswer: 218, 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 14*n - 237 + 231.\nAnswer: -38*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(18\/(-39)) - (-210)\/70?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46662.2274 rounded to the nearest 100?\nAnswer: -46700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6366*w**2 - 2446*w**2 + 5063*w**2.\nAnswer: 8983*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*a + 27598 = -472*a - 31976 - 2670 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-9 + (28 - (21 + -9))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + 2*q + 1. Give u(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxxxtt. What is prob of sequence xxt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 653520 and 90.\nAnswer: 1960560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26+-210101448.5\nAnswer: -210101474.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1202\/8003?\nAnswer: 1202\/8003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3843210 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5123384 and -87\/4202.\nAnswer: 56357224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/4 - 22*i**3\/3 + 12*i**2 - 47*i + 9. Let h be j(21). Solve -h - 9 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254 = 532843*a - 532881*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 226*i**4 + 28*i**3\/3 + 31*i**2\/2 - 26*i - 55. Let s be y(22). What is s rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 97\/5, 0, -5, -1.23, -3\/5, 1?\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3 - 14*l**3 + 2 - 4 wrt l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-3224.\nAnswer: 32.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 4. Let k be 3 + -2 + r - -3. Solve 4*l + 3*o + 11 = k, l + l + 3 = -o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804248409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4241 is divided by 103?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 14681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 5. Suppose 8*a + 16 = 10*a. Suppose a = -m*u + 6*u. Solve -u*c + 10 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/11, 0.1, 5\/2, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 87. Solve a = -0*a - h*q + 7, -5*a = 4*q - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9898 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 15*u = 60 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 42\/5 - 23\/5*m + 1\/5*m**2 = 0.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4201 - -33559\/8. Find the common denominator of w and (-4)\/(-42)*(-9)\/(-12).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 78. Let w = -1 + 0.96. Let d = w + -1.96. What is the third biggest value in d, h, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d + 59. Let k(o) = 2*o + 1. Let g(u) = 5*k(u) - n(u). Let a be g(-10). Solve -a*f = -20*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -53. Let j = q + -57. Factor -j*t**2 + 7*t**4 - 10*t**4 + 6*t + 0*t**4 + 12*t**3.\nAnswer: -3*t*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 28. Let q(p) = -3*p**2 + p**2 - p**2 + p**3 - 183 - f*p + 184. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2046 and 194586690?\nAnswer: 2140453590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 + 4 = 0. Suppose -f*m = -129 - 123. Suppose -3*p - 3*w + m = 0, p = -3*w + 7 + 31. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:48 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -2. Let i be 4\/12*(s - -1). Let v = -2 - -4. Solve -v = -i*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s + 7\/2*s**2 + 0 + 1\/6*s**3. Let k(r) = 2. What is 7*k(i) - 2*l(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9849124?\nAnswer: 2, 2462281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 + -626.78. Let j = -10.24 + q. Let k = -0.1 + 0.1. What is the nearest to 4\/5 in j, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (7 - -1) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**3 + 5*k**2 + 3*k + 4. Let m(b) = -6*b + 11*b**3 - 2*b + 13*b - 13*b - 11*b**2 - 9 + 2*b. Determine 6*m(r) + 13*s(r).\nAnswer: r**3 - r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -14 - -15) + 35 - (-7 + 10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13734987 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 1, q: 3, u: 1, a: 7}. Give prob of sequence ssd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/120 + 2*k**3\/3 - k**2. Let g(m) = 2*m**3 + 9. Let s be (-4)\/(100\/95) - 5\/25. Calculate s*g(x) + 9*t(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evq when three letters picked without replacement from vavevevtq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2\/7 (c) -3\/8 (d) 501 (e) 3 (f) 4\/3999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -115 - 3*((-6)\/3 + 1). Find the common denominator of 41\/12 and 2*1\/(-7) - 100\/c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) 10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 55076*i + 55078*i - 110154*i + 74 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0 (c) -0.04 (d) -0.002 (e) -2 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21181302 by -10590651.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3631*t - 116139. Calculate k(-32).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3862922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 467737.691 take away 586550?\nAnswer: -118812.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 3. Suppose 12 = -0*b + 4*b. Let z be d(b). Let n = 13 - z. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(315) + (sqrt(315) - (sqrt(315) + -1*sqrt(315) - sqrt(315))))\/sqrt(7))\/(sqrt(45)\/(sqrt(20) - sqrt(5))))*-5)**2.\nAnswer: -600*sqrt(5) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -g + 229, -3*z + 5*g + 223 = z. Let n be 6\/9*z - -1*2. Differentiate 85*x - 10 - 41*x - n*x with respect to x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:10 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7167, -15945, -24723, -33501, -42279, -51057?\nAnswer: -59835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -121, -120, -119?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109611?\nAnswer: 3, 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2 + sqrt(112) + -2 - sqrt(112)) + ((sqrt(252) + 3)*5)**2 + sqrt(252).\nAnswer: 910*sqrt(7) + 6521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5754*c - 4337*c + 7482*c as s*c + x and give s.\nAnswer: -2609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 - 1) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -17 - (-375 + 399 + (-13 - -2))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9245 * 56\nAnswer: 517720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, n: 5, a: 4}. Give prob of sequence wnna.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 + 465 - 6*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2412254, -2412240, -2412226, -2412212, -2412198?\n\"Answer: 14*o - 2412268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 616?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 172*h + 452. Give q(-5).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-19)\/(-55))\/(6\/15) and -139\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11745 and -790823?\nAnswer: 779078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - l - 5, -5*n + 5*l - 15 = 0. Let d(a) = -5 - 3 + 4 + n - a. Let o be d(-4). Solve -o*u - 1 = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*-4 + sqrt(117) + -3)**2 - (-5*-2*sqrt(130))\/(sqrt(20)\/sqrt(2)*2).\nAnswer: sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + t**4\/3 - t**3\/6 - t**2 - 2*t. Let y be z(2). Let n(i) = -i + 4 - y. Let h(b) = -3*b**2. Calculate n(h(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 + 4 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v*v\/((v*v\/(v*v\/(v**(3\/5)\/v*v)*v)*v)\/v))\/(v**(2\/3)*v\/((v\/(v*v**(-7)\/v)*v)\/v))*v**(-1\/8)*v**1*v*v**(-4)\/(v\/(v**0*v)) assuming v is positive.\nAnswer: v**(1393\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 + 1, 4*p + 8 = z. Let i(w) = w**2 - w - 37. Let f be i(-6). Let v = 89 - f. Calculate the greatest common factor of z and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/5*(60\/18 + -3). Solve 4*f + 13 = v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/5 - 116295416*r\/5 + 1690577972826632\/5 = 0.\nAnswer: 29073854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509436317?\nAnswer: 13, 39187409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023126673 rounded to 5 decimal places?\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*y + 24*y**2 + y**3 - 423*y - 17*y**2 wrt y.\nAnswer: 6*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63473 (base 9) in base 12?\nAnswer: -20333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52654 - -0.02654. Which is the closest to 18? (a) q (b) -0.9 (c) 3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -395, -1492, -3321, -5882, -9175, -13200?\n\"Answer: -366*m**2 + m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -93. What is the highest common factor of 95 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543638229.\nAnswer: 3, 41, 4419823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3095, -13231, -31721, -59879, -99019, -150455, -215501?\nAnswer: -295471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-1)*3 - -2) + ((-50)\/(-1))\/(-5)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*m - 48, 5*y + 4784*m = 4786*m + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*x + 9, 2*x - 5*k = 6*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 30*z - 85*z - 24*z**2 - 75.\nAnswer: -5*(z + 5)*(4*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54 and -19708105.\nAnswer: -19708051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -26, -3, 12627?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -44*b**2 - 42*b**2 + 112*b**2 + 3*b + 40 - 49. Let n = -13 + 9. Let l(g) = -27*g**2 - 4*g + 10. Let y(i) = n*p(i) - 3*l(i). Differentiate y(m) wrt m.\nAnswer: -46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 1\/60*t**5 - t**2 + 1\/6*t**3 + 0 - 1\/6*t**4 + 0*t. Is r(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/51 + 10*(-2)\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 1, 3, -15.\nAnswer: -16, -15, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*14.13552.\nAnswer: 7.06776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 3*p + 2. Let l(h) = 3 + h + 0 - 3. Determine 2*l(d) - y(d).\nAnswer: d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 9*m - m - 7*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 171, 505, 991, 1635?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36639908, 36639907, 36639906, 36639905?\nAnswer: 36639904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 8*g**2 + 2*g + 3. Calculate d(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let t be u(-3). Let b be 2\/4*t\/3. Let p be (7 - 583\/88)\/(1\/4). Is p at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r + 6*r - r)*(5*r**2 - 4*r**2 + 0*r**2) - r**3 - 7 + 7.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 693 - 692. Sort 0.1, -498, 5, q in descending order.\nAnswer: 5, q, 0.1, -498","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 7:52 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.27 (b) 0 (c) 4 (d) -6389540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -4*f**4\/3 + 10*f**3 - 18*f**2 - 7*f - 10. Determine i, given that b(i) = 0.\nAnswer: 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-1584)\/(-16))*-24\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*g + 598*g = 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2340 divided by -6.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + l + l - 38, -5*l = -3*y + 57. Let m(f) = -f + 11. Let r be m(8). Suppose 0 = 2*b + r*i - y, -5*i + 2*i = -3*b + 21. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(156) - sqrt(156))*4)\/(sqrt(600)\/sqrt(2))*3.\nAnswer: -36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (3 + (-33)\/9 - (-78)\/(-234)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11809 - 11809 + 3736*m**3)*(-4 + 0 + 3).\nAnswer: -3736*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422034 - -1?\nAnswer: -422033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**2 + 192223*o - 500501 wrt o.\nAnswer: 8*o + 192223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 2. Let r(g) = -69*g + 27. Let c(o) = -2*r(o) + 34*y(o). Let q(t) = 3*t + 14. Calculate 4*c(h) - 3*q(h).\nAnswer: -h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*j**2 + 17*j**2 - 42*j**2)*(7 - 11*j - 5 - 15*j)*(-j - 2*j + 2*j) as p*j**2 + d*j**3 + y*j + t*j**4 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2070, -5104, -8138, -11172, -14206?\n\"Answer: -3034*j + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from uugguuuuugguuguuug.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 2*j**2 + 2*j**2 + (-10*j**2 + 0 + 4 - 2)*(-2 - 27 + 1) to g + s*j**2 + w*j and give s.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605663920?\nAnswer: 2, 5, 45070799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/v**(-5))))**(-50))**50)**(-3\/19) assuming v is positive.\nAnswer: v**(45000\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2059 + 2059. Solve -q + s + 9 = j, 5*q - q - 11 = -s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -983832453 to the nearest 1000000.\nAnswer: -984000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/1218 - 15\/(63945\/518)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*3\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.659 + 0.189. Let i = h - -3.47. Which is the biggest value? (a) -0.4 (b) i (c) 4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 138. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + -1 + sqrt(605))**2 + 5 - ((1 + sqrt(605))*2)**2.\nAnswer: -121*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/6)\/(2\/(-6)). Suppose -2*h + o - 5 = -2*o, -33 = 3*h + 4*o. Let g(x) = 9*x. Let u(d) = 13*d. Give h*g(n) + w*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.1462199 months?\nAnswer: 0.095518325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*m + 495*m - 3*m**2 - 246*m - 6*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -492, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsn when three letters picked without replacement from {s: 1, k: 1, n: 1, f: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*g. Solve 3*k - 1 - g = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-360)\/56 + 9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*k - 5624. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(448)*-1*-1 - ((3*sqrt(448) - sqrt(448) - sqrt(448)) + 0)))**2*6 + -5 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2213869398 - -0.4.\nAnswer: 2213869398.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 + 7370*m**3*r**3 - m**2*r**3 - 9*m**2*r + 4526*m*r**2 wrt m?\nAnswer: -120*m**2 + 44220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + z + 4 + (-7 + 15 + 4)*(2*z - 3*z + 3*z))*(-29 - 41*z + 29).\nAnswer: -1025*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 10:20 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(11\/5)\/(o*o\/(o**(10\/13)\/o)))**(-44\/5) assuming o is positive.\nAnswer: o**(88\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/58 and 3\/16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035183 rounded to 7 decimal places?\nAnswer: 0.0000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*x = -15, 4*x = -6*o + 5*o - 20. Solve o = -3*m + m - 3*l, 2*m - 14 = 4*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**2\/2 - 7*x + 4. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.9426m in millimeters?\nAnswer: 82942.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -531?\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 19, 18, 13, 4, -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -32*z**4 + 144*z**3 - 84*z**2 - 204*z - 56. Let v(g) = -g**4 + g**3 - g. Let k be (-2)\/(-6) + (-123)\/(-9) + 2. Let x(y) = k*v(y) - a(y). Factor x(n).\nAnswer: 4*(n - 7)*(n - 2)*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 2. Let m(p) = -p - 11. Let x be m(-10). Let u be t(x). Let j be 0 + (18 - 3)\/3. What is the third smallest value in 0.4, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltla. What is prob of picking 2 t and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - (-12 + 2))\/(-1). Which is the nearest to -4\/315? (a) u (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5580878 rounded to two dps?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 159948468?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1671, -409 in decreasing order.\nAnswer: 5, -409, -1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 4 - 2 - r)*(3*r**2 + 0*r + 0*r + 5*r**2 - r + r + (-r**2 - 2*r**2 + 2*r**2)*(0 - 2 + 0) - 13*r + 9*r**2 + 13*r - 3 - 2*r**2 + 3).\nAnswer: 34*r**3 + 34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 1903870*h**4 - 3807736*h**3 = 0. Calculate h.\nAnswer: 0, 2, 1903868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*y - 11. Suppose 3 = -y*v + 23. Suppose 5*q - 3*n - 122 = 0, -q + v*q - n = 99. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from khkhkkhkhhhh?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -69*w**2 - 3*w + 4. Let g be r(1). Let i = -32 - g. Let v be ((-8)\/i)\/((-1)\/(-15)). Sort v, -1, -4 in descending order.\nAnswer: -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.91 - 0.09. Sort -0.13, 0.1, w.\nAnswer: w, -0.13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:04 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a71b + 4?\nAnswer: a721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.178539 + -8354.\nAnswer: -8390.178539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39416689*l**2 + 99394319*l?\nAnswer: 78833378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 43. Suppose -3*h + 2 = -2*l, -2*l + j = 2*h - 6. Suppose -l*k + 43 = 3. What is the highest common divisor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 2*d**2 + d**2)*(-4*d**3 + d**3 + 5*d**3) + (-9*d**5 + d**5 + 3*d**5)*(3 - 41 + 4) - d**5 + 0*d + 0*d.\nAnswer: 167*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3080*l + 7 - 3109*l + 6205*l. Let k(g) = 8*g + 4. Suppose 5*x + 49 = 29. Calculate x*u(p) + 7*k(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*b - 600*b**2 + 2 - 28*b - 3 + 605*b**2 to n*b**2 + y*b + i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.1 and 75.4072.\nAnswer: 70.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*m - 0*t - 4*t, 0 = 5*m - t - 120. Suppose 3*l + 18 = 4*c, 3*c - 3*l + 6*l - m = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f - 20. Let d = f - 9. Suppose -j + 3*r - 2015 = 0, 3*r = -r + d. Round j to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 65967, 0, -7, -11.\nAnswer: -11, -7, -5, 0, 1, 65967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2355 - -3?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220403341232 - -3?\nAnswer: -220403341224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g)\/g*g*g*g**(-4\/7)*(g**3)**(1\/69) assuming g is positive.\nAnswer: g**(1364\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 2, i: 1, g: 4, h: 7, y: 2}. Give prob of sequence chg.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 15) to base 4\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r - 9. Suppose -2*f + 25 = 5*h - 26, 23 = 3*h + 5*f. Determine t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 4*c - 13, -6 = 3*p - 3*c. Suppose -4*k + 17 = p. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1988, -8004, -18054, -32156, -50328, -72588, -98954, -129444?\n\"Answer: -3*t**3 - 1999*t**2 + 2*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i + 8 = 0, -i - 4 = 2*c. Let t be 217\/(-28) - c\/(-4). Let g(r) = r**2 + 9*r + 9. Calculate the least common multiple of 7 and g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m - 8. Let z = -52 + 47. Let w(k) = k**3 + 4*k**2 - 4*k + 11. Let x be w(z). Calculate l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7321643 is divided by 4599?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62096429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190522720 to the power of 1\/2, to the nearest integer?\nAnswer: 34504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lttkpwwkotpkkpptktp. Give prob of sequence wop.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbnnlccyycyccccb. Give prob of picking 1 n, 2 b, and 1 y.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:14 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 12*a**2 - 10*a + 14. Let w be b(-11). Does 16 divide (0 + -8)*(w + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7338 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7627153?\nAnswer: -5\/7627153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 33. Let b = -16238 + 16301. Let y = b + c. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (13 - -5) - 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(176) + sqrt(176) + sqrt(176)*2 + 3)**2.\nAnswer: 576*sqrt(11) + 16950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 3. Let t be f(-3). Let u(n) = -2*n - 3. Let k be u(-4). Which is the third smallest value? (a) t (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (607*j - 161*j - 159*j + 481*j)*(-19*j**2 + 19*j**2 + j**3) to n*j**4 + w*j**3 + h*j**2 + g + y*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1347 and -40.\nAnswer: -39.8653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvjjvvvv. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 19*g**2 - 2*g - 31. Let u be b(-19). Suppose -p + u + 6 = 3*j, 5*j + 4*p - 31 = 0. Solve -j - 1 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/432 - 1\/2.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10246960755 plus 3?\nAnswer: -10246960752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/80 - s**4\/16 + s**3\/8 - s**2\/8 + 3*s + 5. Let w(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -920 + 2669. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -4. Suppose -2*g - 2*s = 2 - 20, g = -2*s + 14. Suppose -g*h + o*h + 153 = p, h - 158 = -p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (5*(-2*sqrt(112) + sqrt(112)) - sqrt(112)))\/sqrt(4))\/(sqrt(484)*3*1))**2.\nAnswer: 343\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 5*r - 1. Let g be (-8)\/5*75\/(-10). Let k = g + -5. Is c(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27093.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -167037 (base 8) in base 7?\nAnswer: -342503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/2 - 114*r - 630 = 0.\nAnswer: -70, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266833857?\nAnswer: 3, 3037, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/4041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -6, 5582, 0.5.\nAnswer: -6, -4\/5, 0.5, 5582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -18. Let a be (h + 5)*(-5)\/1. Is 22 a factor of (-4)\/a - 216\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2094823, -2094869, -2094911, -2094949, -2094983, -2095013, -2095039?\n\"Answer: 2*k**2 - 52*k - 2094773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1449 - 10139\/7. What is the closest to 1\/4 in -0.4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*l**3 + 25*l**2 - 17*l + 4 wrt l.\nAnswer: -114*l + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p - 3*p + 4*a, 2*p - 2*a + 20 = 0. Let v(n) = -3*n - 5. Let o be v(p). Solve 0 = -4*t - 10 - o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1db (base 15) in base 7?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 66 + l + 15*l + 11*l - 11*l. Give g(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4.7 (b) -1 (c) -4 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 - 4233436*u + 25400544 = 0.\nAnswer: 6, 2116712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -176 - (-1044856)\/5895 - ((-2)\/(-15))\/1. Find s, given that 4*s**3 + 32\/9*s**2 + 0 + 2\/9*s**5 + n*s + 16\/9*s**4 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-968*w + 789*w + 585*w)*(-w + w - w).\nAnswer: -406*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/483923 and 27\/16687.\nAnswer: 483923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-748)\/51*((-9)\/(-27))\/(13\/(2106\/(-12)))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let n = g - -6. Suppose 0 = -3*k + 5*s - 7, k = n*k - 2*s. Solve -k = j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 12212141?\nAnswer: -12212215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:56 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.3. Let l be ((-50)\/6 - -10)\/(15\/12). What is the fourth biggest value in l, 1, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4*s + 4*s)*(-4 + 0 + 3) + s - 3*s + 8*s + (2 + 2 - 3)*(55 - 55 - 20*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 2*a**3 + 2*a + 1 + 3*a**3 + a**2. List the prime factors of x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**3 - 273*y**2 - 9*y**4 + 1396*y**2 + 0*y**3 + 167*y**4 wrt y?\nAnswer: 3792*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 17*c - 8. Calculate m(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 35417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*h**2 - 201*h**3 - 426*h**2 + 850*h**2.\nAnswer: -201*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3077 and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.28781s?\nAnswer: 0.000357725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/79645 - 2310209\/40141080. Calculate the common denominator of n and 53\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001100001 + -100?\nAnswer: -1110001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22166 times -9\nAnswer: -199494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-680)\/1)\/(-34))\/(-8*8\/48)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1973668 and 1180?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -100*c**2 - 77. Suppose 21*g + 14*g + 175 = 0. Let y(j) = 101*j**2 + 76. Let w(p) = g*n(p) - 4*y(p). Find the first derivative of w(l) wrt l.\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120310233 (base 4) in base 14?\nAnswer: 290ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18810 divided by 5\nAnswer: 3762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let x be g\/(-10) + 87\/5. Suppose 3*n + 2*o - x = 0, -4*n + 23 = o + 2*o. Solve 8*a = n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*g - 1 - 2 = 0, 5 = -5*y - 5*g. Suppose -13*v + 68 = 2*c - 9*v, -y*c + 4*v + 132 = 0. Solve 4*z + 4*z + c = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 47, 4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11983*c**5*f**2 - 199*c*f**2 + 6*c*f wrt c?\nAnswer: 239660*c**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*k + 10*k + 437, 4*s + k = -919. Sort -1, 4, s in decreasing order.\nAnswer: 4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(48)*4) + sqrt(60)\/sqrt(3) + 1.\nAnswer: 1 + 17*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 3*s + 3*s + (0*s**2 - 2*s**2 + 0*s**2)*(-8 + 4 - 10).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1216) - (1 + sqrt(1216)))**2*2 - sqrt(1216)).\nAnswer: -8*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20103 (base 4) to base 15.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43329 divided by -192?\nAnswer: 14443\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450618, 901224, 1351828, 1802430, 2253030?\nAnswer: 2703628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - (83 + -75).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5))**(2\/101)\/(h\/((h*h*h**(2\/19)*h*h)\/h))**22)**(-9\/5) assuming h is positive.\nAnswer: h**(-801972\/9595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + (33 - -1 - 103)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 12*o - 14. Let d = 1 + 3. Suppose -d*z = -12 - 28. Calculate the remainder when z is divided by j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 4115?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 26 - 10*r + 26.\nAnswer: r*(r - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158689, 634786, 1428267, 2539120, 3967333, 5712894?\nAnswer: 7775791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92479156?\nAnswer: 2, 7, 11, 19, 15803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, 0.1, -1\/4, 159\/7, -34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 25. Let r be x(21). What is the greatest common factor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 + 1. Let a(l) = l**3 + 2*l**2 - l - 1. Let w = -123 - -125. Determine w*q(x) - a(x).\nAnswer: x**3 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 27. What is the nearest to n in 1, 3, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(3) - sqrt(6)\/(sqrt(2) - sqrt(8)))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7389*g**5 + g - 29965?\nAnswer: -147780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*w + 36 + 40, -y = -w + 12. Solve w*h - 65 + 100 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/104 + (-814)\/(-3575).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 596 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 10025?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -394.751 minus -57.5932589?\nAnswer: -337.1577411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/6 - 3*m. Let y be t(-1). Let u = 0.27 - -0.13. Which is the closest to y? (a) 4\/5 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:16 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -227*v**4\/12 - 174*v. Let z(a) = -2*a. Give z(c(p)).\nAnswer: 454*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = 234. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60636837?\nAnswer: 3, 31, 43, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*r**3 + 0*r**4 + r + 0*r**4 - 8*r**4 + r**2 + 6*r**4 to d*r**2 + a*r + f + o*r**3 + w*r**4 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 45*h**4 - 3*h + 2*h**3 - h - 7*h**4 to the form i*h + t + v*h**3 + j*h**2 + n*h**4 and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 374, 2861, 9608, 22745, 44402, 76709, 121796, 181793?\n\"Answer: 355*w**3 + 2*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o - 4*a = -30, o + 3 = a. Suppose o*w - 60 = -2*w. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000000111100110011001?\nAnswer: -1000000111100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -11. Suppose x - 3*x + u = 0. Suppose 3*w = x - 0. Which is the smallest value? (a) 0.4 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 31644?\nAnswer: 348084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(-6*(1 + sqrt(1872)) + sqrt(1872)*3*5)*-2)**2.\nAnswer: -82944*sqrt(13) + 9706748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11275 + -11271. Is o at least as big as -2472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Let p(s) = s - 4. Let h be p(w). Let i be 6\/h - 3\/6. Put -4, -1, i in decreasing order.\nAnswer: -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-7)\/(-9))\/(294\/(-441))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121121200021 + 20112?\nAnswer: -10121121102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 30*d**2 - 6*d**2 - 16*d**2 - 2 + 5*d**2. Let h(k) = -40*k**2 + 7. What is 7*c(q) + 2*h(q)?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 + 4)\/(-19 + 27)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14*w + 17. Suppose -3*t = -h - 6, t = -2*h + 5*h + 18. What are the prime factors of g(h)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 49. Suppose -3*u = -2*u - y. What is the tens digit of u + (-5 - (-3 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:03 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -19*o + 480. Let s = -44 + o. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1340*q**2 + 1336*q + 2. Determine k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 - 4)*(-2 + 4 + 1)*(4 - 3 - 2)*(8 + 14 + u + 2*u).\nAnswer: -45*u - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57141684?\nAnswer: 2, 3, 443, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 628147.8 months?\nAnswer: 52.34565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73262*y**3 + 369*y**4 + 73262*y**3)*(-3*y + y + 3*y).\nAnswer: 369*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/12185 and 7\/50?\nAnswer: 121850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.04 (b) 3 (c) -292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334614?\nAnswer: 2, 3, 7, 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4, 2*t = 3*d + d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -121*o + 2*o**3 + 233*o - 122*o + 0*o**3 + 8*o**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) - (sqrt(833)*1)**2))*-6.\nAnswer: -4998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - u, 3*r - 4 = -4*u - 5. Let x(i) = 2*i**3 - 43*i**2 + 19 - 6*i + 40*i - 13*i. Let o be x(21). Solve -5*j + r = -o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298084254.\nAnswer: 2, 3, 13, 193, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 30*j - 291. Give h(16).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0224953 rounded to four decimal places?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1548, 1549, 1550, 1551, 1552?\n\"Answer: s + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10007.\nAnswer: 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 269*k - 182*k - 21924. Calculate the least common multiple of 1692 and k.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8751195 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1709\/288 - -17\/96. Calculate the common denominator of c and 137\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1033 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b - 90. Let t be z(10). Let d be (-6)\/(-4) - 6\/(-12). Suppose d*u + 0 = -3*o - 2, 5*u + 5 = -2*o. Solve o = i + v - t*v - 4, 5 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1454 + 1425)\/((-3456)\/(-3457) + (0 - 1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:57 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59381587?\nAnswer: 59381587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k*k\/(k*(k*(k\/(k**(2\/7)\/k))\/k)\/k)*k)*k*k)\/k)**34*(k**(2\/9))**(-21))**(6\/31) assuming k is positive.\nAnswer: k**(824\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, p: 5, w: 2}. What is prob of sequence kpt?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27815, 55521, 83109, 110573, 137907, 165105, 192161, 219069?\nAnswer: 245823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3909*z = -3758*z - 4832 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34 - (8 + -1) - 9. Solve 0 = -7*m + m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 6, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j + 28. Let k(a) = 26*a + 57. Determine 6*k(o) - 14*z(o).\nAnswer: 2*o - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 11 = 17*n - 23 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11940713?\nAnswer: 43, 277691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 14\/(-1)*18\/36 - -10. Solve -f - 168 + 169 = d, 0 = -g*f + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 2*d**2 + 2*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*g**3)*(4*g - 2*g + 5*g + (g + 0 + 0)*(1 - 5 + 1) - 17 - 5*g + 17) in the form s*g**2 + h + x*g + v*g**4 + m*g**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from govvv. What is prob of picking 1 o, 1 v, and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.29, 1\/3, -9\/8, -65\/6, 8, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160720875 to the power of 1\/2, to the nearest integer?\nAnswer: 12678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 4 + 2*n**2 - 2 + 4 + 5*n**3 to the form a*n**3 + q*n + t + g*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + 1\/(49\/(-3038)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27599 divided by 17116?\nAnswer: -2509\/1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -89*m**3 - m**2 - 4*m - 5. What is the units digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 1050?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 29*f + 159*f + 73*f.\nAnswer: 240*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - 2*i - 2. Let k = 0 - 6. Let t be h(k). Solve 2*y + y - 2 = -f, -t = -f + 5*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 129*f - 703. Calculate s(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 314834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6584.47mg?\nAnswer: 6.58447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11776 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3386 - 1607. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose j*z = 6*z. Suppose 8 = i - z*i. Solve -3*w - 4 = i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, 1, -1444, 15, 3, -3 in descending order.\nAnswer: 15, 14, 3, 1, -2, -3, -1444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/81, 4\/5, 1\/2, 4?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 938863 by 44.\nAnswer: 938863\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.11 (c) 0 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Find the second derivative of 9*m - m**g + m**5 + 2*m**5 + 7*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhypyhh. What is prob of picking 4 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 3*k = 36*c - 348, 2*k = -c + 188. Does 39 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/5 - 6*l\/5 = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3995.\nAnswer: 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512883 is divided by 746.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714572 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11871 is divided by 9547?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2 = -d + 12, -5*c + 10 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*c + 1912 - 84 = -856 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 0 - 0 - 39. Which is the second smallest value? (a) 3 (b) n (c) 4\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461536 + 0?\nAnswer: -461536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 8?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 228 = -13. Solve -5*m + 3*y = -m - 24, 2*y = -m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 114*m - 112*m - 63734. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 570390*a**2 - 78*a + 3197 wrt a?\nAnswer: 1140780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2945*t**3 + 1 + 11711*t**3 - 1.\nAnswer: 8766*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1.5, 2696\/87, -1.\nAnswer: -1.5, -1, 0.3, 2696\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w. Let d(n) = 21*n**2 + 2*n + 18*n + 14*n**2 - 56*n**2 + 20*n**2. Determine 2*d(h) - 5*v(h).\nAnswer: -2*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1\/2 (c) -2\/5 (d) 1\/1560\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 - 4*l**2 + l**2)*(-l**2 + 353 - 180 - 173 + 360*l).\nAnswer: -4*l**4 + 1440*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/4 - 6*v**4 + 30*v**3 - 113*v**2\/2 + 183*v\/4 - 27\/2 = 0. Calculate v.\nAnswer: 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20 - 10*o - 67 - 19 - 3*o**2 + 20*o wrt o?\nAnswer: -6*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose -a = -0*n + n - 23, t*n + 5*a - 49 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 q when three letters picked without replacement from xxxxxxqxqxx.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/4 - 419*l**4\/4 + 336199*l**3\/4 - 1005649*l**2\/4 + 334935*l\/2 = 0. What is l?\nAnswer: -827, 0, 1, 2, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 66. Suppose 6*n - 5*c + 135 = 4*n, f*n = -c - 177. What is the tens digit of 101\/4 + (n\/(-16) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4\/(-16))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 - 12*f**2 - 2. Let w(h) = -77*h - 1689. Let z be w(-22). Let y(j) = j**3 + j**2. Give z*y(m) + t(m).\nAnswer: -2*m**3 - 7*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i + 1. Let u(n) = -36*n**2 + 2*n + 2. Let t be u(i). Is 2 a factor of (5\/(-2))\/(18\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 822 + 174*j + 822 + (0*j - 2*j + 0*j)*(-4*j - j + 2*j) + 29*j**2 + 34*j - 34*j to the form x*j**2 + r*j + f and give r.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by 1?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127 - (-1 + -5 + 7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 156*x**2 + 4*x - 58. Let y be t(10). Calculate the highest common divisor of 53 and y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66*42\/35*(-325)\/585.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176203.287 + -175979. Let c = u - 223. What is c rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j + 40*j - 93*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72326836927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74895 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 59 - 15)*(4 - 4 + g**3).\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 15*n = 0. Suppose n = 3*l + u - 90, u - 90 = -3*l + 2*u. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*g + 5, -6 = 3*f - 3. Solve -7 = -g*v + 5*x - 2, 5*x = -2*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 2, j: 2, p: 5, b: 2}. Give prob of sequence hb.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**3 - 7*i**2 - 7*i - 8. Let w(g) = 6*g**3 - 4*g**2 - 4*g - 4. Let p(v) = 4*l(v) - 7*w(v). Differentiate p(z) wrt z.\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 132. Solve 2*j + 2 = 3*y - r, 0 = 3*y - 3*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)*f\/(f\/f**(-6))*(f*f**(-1\/7))\/f*f\/(f\/(f\/f**11)) assuming f is positive.\nAnswer: f**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 15*d**2 + 19*d - 14. Let f be r(13). Let o be 4\/(-7)*f\/30. Solve 0 = o*v - 7*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102424 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -1226a269?\nAnswer: -1226a261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*t**2 - 245*t**2 + 132*t**3.\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 5414\nAnswer: 5413.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 - 106. Calculate the greatest common divisor of s and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -322?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19807 + -19829. Which is the closest to -2? (a) -1\/4 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**3 - 6050*x**2 - 16220*x - 8120.\nAnswer: 5*(x - 406)*(x + 2)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -u - 5*h, 2*u + 0*h + 3*h = 121. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 647*m**2 - 2142*m + 590. What is n(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21373?\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44864.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 2, c: 4}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 393, 557, 721, 885, 1049?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -50, -76, -102?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2 + 214*j**5 + 5*j**2 - 218*j**5 wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3347, 13945, 31797, 56909, 89287?\nAnswer: 128937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039754625 to 7 dps.\nAnswer: 0.0003975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 41789*v - 1796935. What is y(43)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/102 and -101\/918.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 4*j.\nAnswer: -2*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15232 and 4572864.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 739176 divided by 30799\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m**3 - m**2 - 51*m - 349. What are the prime factors of c(-7)?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-4) - (-100)\/200. Let t be 98*(2 + 6\/(-4)). Calculate the greatest common divisor of o and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10)*(-120)\/16 + -2427. Let i = -1608 - h. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 13, i: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1276 and 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -146 and -0.124.\nAnswer: 18.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 8*y**2 - 36*y + 6. Let s be k(-8). Calculate the highest common factor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240452 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 750*x - 8. Let i be a(-3). Let d = -1324 - i. Suppose s + s - d = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 8}. Give prob of picking 4 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6.4. Let a = 4.4 + v. What is the nearest to 2\/3 in a, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2429 + -11.2429. Which is the closest to -1? (a) x (b) -1\/2 (c) 0.1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. Suppose 0 = -4*g + 2*g - 4. Let b be (-2)\/((-10)\/g + k). Are b and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from {x: 3, j: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 7. Suppose 3*x + 9 + 9 = -b, -3*x = 5*b + 30. Calculate p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1222, 4858, 10912, 19384, 30274?\n\"Answer: 1209*x**2 + 9*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224\/869 - -6\/79. Let r = 59 + -56. What is the nearest to 2\/7 in r, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/5 + 3137124*h\/5 - 1230193373922\/5 = 0.\nAnswer: 784281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294027889 to the nearest integer?\nAnswer: 17147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and -4498.388197?\nAnswer: 4498.988197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50989*u - 101971*u - 272*u**3 + 50982*u.\nAnswer: -272*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01594306 to 5 decimal places.\nAnswer: -0.01594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 2805 - 297. List the prime factors of h.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 0.1. Which is the closest to -1? (a) -1\/3 (b) 2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3503 and 7\/2?\nAnswer: 7006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 144\/(-28))*(-1631)\/466.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 0.931 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3*w**3 + r**3 - 156*r**2*w**2 - 334*r**2*w + 1920883*w**3 - 8*w**2 wrt w?\nAnswer: 6*r**3 + 11525298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30877\/4 or 7719?\nAnswer: 7719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -194923327 > -194923327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 49. Let f(u) = u + 8. Let k be f(w). Let c be k\/(16\/12)*20\/6. What is the highest common factor of 80 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*w**2 + 40 - 82 + w + 40 + 16*w**3 + w**3 in the form k*w**3 + q + z*w + v*w**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 22*x**6\/5 + 16*x**3\/3 + 10577*x**2\/2 + 3344*x. Find the first derivative of v(j) wrt j.\nAnswer: 528*j**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 9. Let r be y(7). Let s be 7\/2*r\/(-21). Suppose 4*c = -k + 33 + 15, s*k = 0. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is 31 (base 15) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -794*d + 1. Let y(i) = -529*i + 1. Give 5*k(a) - 8*y(a).\nAnswer: 262*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4)*(47 - 46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48686470 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -599 - 204e0?\nAnswer: -20a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4 + 215*l**3 - 933*l**2.\nAnswer: -48*l + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 3473*z - 1797718. What is h(-633)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3\/5 (c) 11\/5 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -15, -3*g + 5*o = -283 + 299. Solve -7*i + 9*i + g*n - 29 = 0, 5*i + 2*n = 34 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - -41. What is the lowest common multiple of j and 8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 56\/5*r**5 + 0*r + 0*r**4 + 0*r**2 + 72 + 12*r**3. What is the third derivative of b(s) wrt s?\nAnswer: 1344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 118*u + 18*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150400 and 5600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 98454 - -4?\nAnswer: 98458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/((-7)\/42). Suppose 4*h - v = 7, -6*h + 4*h + 2*v = z. Suppose 82 = s - 4*u + h*u, -5*u = s - 64. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d889 (base 14) to base 15\nAnswer: 3033e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20519954 and 38.\nAnswer: 389879126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 833619.\nAnswer: 24\/277873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130388829, -260777656, -391166479, -521555298?\nAnswer: -651944113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -5057\/4, 0.2?\nAnswer: -5057\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 + 48 = -5*j, -j + 11 = 4*d. Suppose p = -3*w - p + 9683, 0 = 3*w + d*p - 9679. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22301232 + 1231?\nAnswer: -22300001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223*t - 227*t + 220. Let z be 66\/t*(-10)\/(-4). Solve -4*s + i = -i - 30, 5 = -2*s - z*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:11 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 17*b**2 + 15*b - 4. What is j(16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1372 and 463.\nAnswer: 635236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-8))\/(((-6)\/3)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = 10. Is 14 a factor of (220 + 4)\/(t - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 10*v = 0. Let z = -6 + 6. Solve 4*b + 4 = z, 3*o + 10 = -v*o + 5*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 46*g. Let i(r) = -7*r. What is i(a(s))?\nAnswer: -322*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:22 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 511 = 2*x - 551, 3*g = -3*x + 33. What is the least common multiple of x and 644?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5797 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 29492?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356563 (base 7) to base 3.\nAnswer: -10021212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + x - 17 = 2*x, 2*x - 80 = -4*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1)*r)**1)**(2\/33))**(-1\/13) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11101122120?\nAnswer: -11101122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-8)\/24)\/(2\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - 611bb?\nAnswer: -611d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (4 - -6)) + -4 - (8 - 23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a + 2. Let z be n(4). Let l(j) = 9*j - 5. Let y be l(0). Let v be ((-6)\/y)\/(18\/45). Solve 3*s + s - 25 = -v*m, 0 = -s - 2*m + z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4860 divided by 4.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 - 22086*h\/7 - 2772664\/7 = 0.\nAnswer: -10916, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19171, -76622, -172365, -306400?\n\"Answer: -19146*j**2 - 13*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/297*(-174)\/406?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 11:54 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-314755)\/575)\/161*(30\/14)\/(-3).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = 3*p. Suppose -3*u + 32 = -5*c, -3*c - c = 4*u. Is c greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/84 - (-4)\/(-14). Let p = -23412 + 23411. Put t, p, 20 in ascending order.\nAnswer: p, t, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 4 - 3*z**3 - 8 - 7*z + 11*z + 3*z**2. Give p(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 4)\/((-2)\/4). Suppose -s + 4*s - 30 = 3*j, 0 = s - p*j - 19. Let b(c) = -c + 1511 + 1516 - 3026. Determine b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/52)\/(g\/g**(1\/6)))\/(g**(6\/23))**(5\/11))**(-50) assuming g is positive.\nAnswer: g**(958225\/19734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 + 3*m**3 + (m + 4*m - 6*m + (5 - 3 + 0)*(161 + 29*m - 161))*(m - 2*m + 0*m)*(-5*m + 5*m + 3*m).\nAnswer: -170*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 - 3*c - 17. Let o = -1 + 3. Suppose 3*y - 45 = -o*y. What are the prime factors of f(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/273 and 151\/2730.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -3)\/((-3)\/2). Suppose 1868*u = 1862*u + 60. Solve -m**3 - m**4 + 2*m**2 - 7*m**3 - g*m**5 - m**4 + u*m**3 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by -28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s - 49. Let d be h(7). Let p be 8565\/(-610) + d + 7. Are p and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/182)\/(1360\/(-4760)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyykkykyky. What is prob of sequence kkyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*65\/26*80\/125. Let n(j) = j**2 + 30*j - 59. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.12. Suppose -5*r - 21 + 1 = 0. Which is the nearest to 0.1? (a) -3 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 106*x**2 - 2227*x + 153. Determine m(-77).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11223 + -13300?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:44 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let g(v) = 6*v**2. Let t = -3 - -6. Let m(k) = -11*k**2. Let r(q) = t*m(q) + 5*g(q). What is r(p(d))?\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**4*v))*v**(-4\/11)*(v*v**(1\/3))**(1\/62)*(v**(1\/2))**(2\/141)*(v*(v*v\/v**(1\/5)*v)\/v)**(-24) assuming v is positive.\nAnswer: v**(-15033736\/240405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z**5\/4 - 107*z**4\/4 - 571*z**3\/4 + 3123*z**2\/4 + 1736*z - 245 = 0. What is z?\nAnswer: -5, -2, 2\/15, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5650937925?\nAnswer: 3, 5, 71, 103, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -500 (base 16) to base 15.\nAnswer: -5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utututu. Give prob of picking 1 u and 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 3*i + 4*h - 1 = 3, 5*h + 1 = -3*i. What is the remainder when (186\/9)\/(r\/3) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 - (7 + -8). Suppose 15 = 2*v + 5*j, -k*j - 10 = -4*v + 8. Let f = v - 5. Solve 2*a - 8 = -f*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -7*l + 9*l + 4*t, 1435 = -5*l + 3*t. Let h = l + 860. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let d(f) = 7*f. What is q(d(v))?\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*p = 11, 860 - 883 = -3*a - 5*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*t + 2052*t - 7267*t.\nAnswer: -7072*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0435 and 214.\nAnswer: -9.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13134 (base 7) to base 14\nAnswer: 13c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158a0 (base 12) in base 2?\nAnswer: 111011110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikk when three letters picked without replacement from nkkffik.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/6*5\/(4*-25)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-15)\/q*q)\/q))\/(q\/q**12*q) assuming q is positive.\nAnswer: q**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(2*g**2 + 3*g**2 + g**2) + (-17*g + 4*g**2 + 17*g)*(0*g - 3*g + 4*g) + g + g**3 - g.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 4. Let p be b(-4). Suppose p*m + m = 0. Let k = -29 + 33. Solve -a + 2*h + 3*h - 13 = m, 22 = 5*a + k*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m - 2*p, -5*p - 15 = -0*p. Suppose -12 = -5*d - f, -5 - 11 = -5*d - 3*f. Solve -5*q + d*q + m = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696 = 4790*k - 4896*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w + 208 = 5*s, -2*w + 4*s + 444 = 0. Suppose 2*j = w + 54. Let r = j - 15. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9 + (-2)\/(-6). Let i(b) = -13*b - 91. Let d be i(-8). Let k = r + d. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268, -281, -306, -349, -416, -513, -646, -821?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + c4?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5066 - 3?\nAnswer: 5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 - (-124462)\/7774)*25\/1. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilx when three letters picked without replacement from {n: 3, l: 1, x: 3, i: 2, o: 1, b: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7728 divided by 1\nAnswer: 7728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by 3?\nAnswer: 157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnynyjnnwynynyy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 13*o**6\/15 + 11*o**4\/6 + 28*o. Find the third derivative of s(c) wrt c.\nAnswer: 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.065668 to three decimal places.\nAnswer: -3.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145290 greater than or equal to 145289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2137415791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**2 - 74*w**2 + 36*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 649*m + 20. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2 - 5*s + 5\/4*s**3 - 3\/4*s**4 + 5\/2*s**2 = 0.\nAnswer: -2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7952867?\nAnswer: 13, 127, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 224*r - 65. What is z(56)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.3 (c) -84\/11 (d) 0 (e) -60857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppdd when four letters picked without replacement from {p: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*h - 18, -6*a + 4*h = -a + 6. Let p = -8 - -3. Let m be (15\/5)\/((-3)\/p). What is the greatest common divisor of m and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 6, j: 11}. Give prob of sequence ij.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -423, 5, -5, -493 in decreasing order.\nAnswer: 5, 4, -5, -423, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2783233*o**2. Let x(k) = k**2. What is h(x(u))?\nAnswer: -2783233*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5)\/u*u*u\/u**2*(u*(u\/(u\/(u*(u*u**6)\/u)))\/u)\/u**5 assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*o*v**3 + 2*o - 3*v**3 + 5*v**2 wrt v?\nAnswer: -246*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -1\/7*c - 1\/7*c**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and -95\/757056.\nAnswer: 5299392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.922 + 1.9217109. Round c to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1000 + -1213?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/43 (b) -8 (c) -3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 5*c)*(5 - 2 + 0)*(5*c**4 + 10*c**4 + 11*c**4).\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/20 + 3*x**2. Let h(c) = -12*c**2 + 27*c - 27. Let b(y) = -y**2 + 2*y - 2. Let a(l) = 27*b(l) - 2*h(l). What is o(a(k))?\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02515539 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*b = 4234 - 1049 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 + -4 + 316\/20. Let d(j) = l*j - 12*j - j**2. Let m(y) = -2*y**2 - 3*y**2 - 2*y**2. Give d(m(a)).\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -43, -92, -161, -250, -359, -488?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2983, 2974, 2965, 2956, 2947, 2938?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**5\/5 + 7*v**4\/4 + 16*v**3\/3 - 26*v**2 - 96*v - 1108. Find r, given that p(r) = 0.\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39775)\/85785 + (-6)\/(-14). What is the second smallest value in -2.4, 3, t, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2. Let g(k) = -2*k**2 + 22. Let i = 88 + -90. What is i*g(a) + 22*z(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 19*h**2 + 11*h - 10. Let w(k) = 7*k**2 + 5*k - 4. Let n(v) = -4*s(v) + 11*w(v). What is n(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 9 = -41. Solve 0 = -4*l + 5*d - i + 29, 0 = 4*l - 3*d - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*a + 1065 = 0, 8*t - 51*a = -47*a + 1708. Calculate the least common multiple of t and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4543 + 4642. Which is the third biggest value? (a) 1\/4 (b) u (c) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465588 and 6432?\nAnswer: 249555168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25*(-585)\/(-156))\/(((-3)\/1)\/(-108)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216168, -2432335, -3648502, -4864669, -6080836?\nAnswer: -7297003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))**(-1\/11))**(-12\/19) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/39))**(1\/2)*l**3*l*l*l**(-13\/2) assuming l is positive.\nAnswer: l**(-79\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let c(y) = 110*y**2. Let x(g) = -c(g) - 3*z(g). Let i(p) = -6*p. Calculate x(i(v)).\nAnswer: -4176*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 + q**3\/3 - 2*q + 6. Determine c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -19. Let n(q) = -11. Let f(j) = 4*g(j) - 7*n(j). Suppose -7*x + 276 = -3*x. Let w(l) = -69 - l + x. Give -f(d) - w(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 2. Calculate b(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7260*t + 166900. Calculate o(23).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 580462 and -0.1.\nAnswer: 580461.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 9*h + 11. Let a be w(-8). Solve 0 = -3*y + f, 0 = 4*y + 2*f - a + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 6 - 4*h + 9*h - 2*h. Suppose 0*s + 6 = -2*s. Let u be s + 4*(-4)\/(-2). Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46865864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 5*a - 184, 78 = 288*i - 292*i + 2*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 2328571 + 1081429 = 0. What is k rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 + -54. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.843 minus 0?\nAnswer: 2.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -943*w - 20. Let x(g) = -75440*g - 1610. Give 322*n(a) - 4*x(a).\nAnswer: -1886*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 25*b**4 + 1568930*b**3 + 24616354740*b**2 + 29534856280*b - 39383155360 = 0.\nAnswer: -31378, -2, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 4*o - 3*a, -2*a - 8 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1423783690 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -536\/9*j**2 + 0 + 10\/9*j**3 - 24*j = 0.\nAnswer: -2\/5, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, x: 1, h: 1}. What is prob of sequence hsxs?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y - 13. Let v(f) = 1. Let s(n) = -1. Let l(a) = 5*s(a) + 6*v(a). Let d(r) = 2*b(r) + 18*l(r). What is the hundreds digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 - 325. What is the closest to -0.1 in x, -3, -1, -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:16 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1258*a + 1113*a**2 + 2511*a - 1250*a - 43*a**2 to the form b + h*a**2 + u*a and give h.\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 419 or 31432\/75?\nAnswer: 31432\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/21 - ((-10515)\/(-14133))\/5. Let z = q + -14113\/3365. Let b = -73\/15 - z. Put 3\/13, 5, b in decreasing order.\nAnswer: 5, 3\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + s - 128 = 79, -111 = -2*h - 3*s. Suppose 3*c - 257 = -5*q, q + c - h = -0*c. Let g = q + -47. Solve 0 = -z - g, -2*z - 15 + 5 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -43 (c) -3631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) - (3 - 2). Let o be (g\/2)\/((-8)\/(-24)). Let r = 32 - 33. Put r, 4, o in decreasing order.\nAnswer: 4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u, -100*g + 96*g - 5*u = 261319975. What is g rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290423537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26754 divided by -8918.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1312 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.5. Suppose 7*a + 21 = -0*a. Suppose -3*z = -5*d + 32, 4*d = 5*z - 3*z + 24. What is the smallest value in a, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtovvww. Give prob of picking 1 t, 2 v, and 1 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16\/((d\/(d\/d**(-17)))\/d))\/((d\/(d**(3\/8)*d))\/d*d\/d**1) assuming d is positive.\nAnswer: d**(283\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 5*f - 6. Let i be z(1). What is the second biggest value in i, -3\/8, -42, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 34. Suppose -2*m - j + 291 = 33, 4*m - 2*j = 500. Let g(y) = 126*y - 252*y + m*y. Calculate g(s(q)).\nAnswer: 2*q - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most -4\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9771768 to the nearest integer?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-852))\/(10\/4*((-13728)\/585)\/(-88)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 - -460. Sort -1, 34, l in increasing order.\nAnswer: -1, l, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -374*k**3 + 16*k**2 + 8*k - 8. Let o(r) = -6*r**3 - 2*r**2 - r + 1. Give -24*o(u) - 3*p(u).\nAnswer: 1266*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26380, -26371, -26348, -26305, -26236?\n\"Answer: o**3 + o**2 - o - 26381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10433598 and 39\/238210.\nAnswer: 52167990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 3, u: 2, i: 4}. What is prob of picking 1 u and 1 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - 52. Let r = -35 - m. Suppose 15 = -52*i + r*i. Solve -i*h = h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/13)\/(((-11)\/(-2))\/(-1))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 (base 10) in base 8?\nAnswer: 11375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 3. Let h be p(2). Let m(k) = 2*k**3 - k**2 + 1. Let y be m(h). Suppose -x - 45 = -y*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**3 - 12*f**3 - 19*f**3 - 8*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53\/2, 4, 0.2, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y. Let f(b) = b**3 + 4*b**2 - 12*b + 4. Let u be f(-6). Suppose d - u = -d. Suppose -c - 5 = -d*c. Calculate p(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 11.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 1, e: 1}. Give prob of picking 2 e and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + g - 247*v + 243*v + 217 = 0, 3*g - 3*v = -g + 155 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6944 + -6940. Let p(s) be the third derivative of 0*s**3 + 0 - 3\/10*s**5 + 14*s**2 - 1\/3*s**q + 0*s. What is the second derivative of p(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1878809*f**2*h**5 - 152*f**2*h + f**2 + 88*f*h**3 + 5*f*h - 128*h + 204 wrt h.\nAnswer: 37576180*f**2*h**3 + 528*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from jjjvjjjjjjjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5\/2 + 20*c**4 + 157*c**3\/2 + 78*c**2 + 18*c = 0.\nAnswer: -6, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 4 = 0. Solve 0 = 3*q - y*v + 10, q - 4*v = -0*v - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13772, -13771, -13770, -13769, -13768, -13767?\nAnswer: -13766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3422*f + 6531*f + 497*f.\nAnswer: 10450*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -80?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/(((-6993)\/210)\/(-37))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 4f7181?\nAnswer: 4f717e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10227 (base 9) to base 12.\nAnswer: -3aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 16. Determine i(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 26033?\nAnswer: -26027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:02 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-24)*46\/23*7*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140083 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 841 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 9\/4, -0.837089 in decreasing order.\nAnswer: 9\/4, 0.5, -0.837089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/328*8 + 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*a - 889 = -264*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10 + 7 - -59*9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:53 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-10\/13))**(-1\/39)*(c\/(c*c**23))**(4\/5) assuming c is positive.\nAnswer: c**(-15553\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5102014.\nAnswer: 2, 89, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965278?\nAnswer: 2, 31, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9265 + 10282081\nAnswer: 10291346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/1*(-7)\/7. Let u be (-1 - w\/(-5))*-5. Is 4\/1*(-30)\/u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949.2683 nanograms in tonnes?\nAnswer: 0.0000000000009492683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -18. Calculate the highest common divisor of 80 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 2*x - 217*x**2 + 484*x**2 - 2*x**4 + 2*x**3 + 3*x**4 + 2 + 17*x**2 to s*x + p*x**4 + n + y*x**3 + k*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11262 - -16378. What are the prime factors of y?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**2 - z. Let i(x) = 1 - 6 + x - 2*x + 0*x. Let n be i(-4). What is the tens digit of q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjqq. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q = 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 7*r**2 + 34*r + 40. Let y be w(-10). Let g(o) = 2 + 2 - 2 - 5 + o. What is g(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165 + 11247?\nAnswer: 110a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = -2*f. Let n(p) = p**3 + 9*p**2 + 7*p - 8. Let v be n(f). Suppose -5*t + v = -5. Calculate the least common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194806129.\nAnswer: 7, 41, 678767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (11 + -2) - (-53 + 64 - 13)) + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 59, 4, -2, -4 in ascending order.\nAnswer: -4, -2, 4, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc - 6545?\nAnswer: -6446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157616911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f**(-10)\/f)\/(f\/f**(4\/7)*f*f**(-3\/4)\/f) assuming f is positive.\nAnswer: f**(-285\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 233\/87360 and 1\/93938?\nAnswer: 315631680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**5 + 3*m**2 + 4. Let z(f) = 32*f**5 + 471*f**4 + 1325*f**3 + 270*f**2 - 512*f + 64. Let i(p) = 5*l(p) + z(p). Let i(d) = 0. What is d?\nAnswer: -14, -3, -1, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 242*v + 50089. Calculate j(-207).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(1*(-12)\/(-100))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s*s*s**(-1\/4)*s*s*s\/s**(5\/2)*s\/(s*(s*s**(2\/33))\/s))**50 assuming s is positive.\nAnswer: s**(23725\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2078\/94 + (2 + -13)\/(327\/654).\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - 253*w + 113. Determine n(-64).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*n + 0*n - n)*(3*n**2 - 2*n**2 - 3*n**2) + (-4 + 4 - 1)*(2*n**3 - 3*n**3 - n**3))*(3*n + 2*n - 6*n + (-3 + 2 + 3)*(-1 - 3*n + 1)).\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let v be (f - 0\/1) + 16. Let j = -4 + 6. Solve j + v = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -66, 1.64?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6342 + 8745. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 0.301?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 0*u**3 + 2*u**3 - u**4 - 2 - 5*u in the form h*u**3 + x*u**2 + p*u + a*u**4 + r and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 356400002 = -5*f + f, 3*f = -4*h + 267300004. Round f to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + 4 + ((-1*sqrt(171) - sqrt(171)) + sqrt(19))**2 - (-2*sqrt(1539)*-6*-4)**2.\nAnswer: -3545380 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19763400 divided by -3.\nAnswer: 6587800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2351 - 2347. Let v(u) = 4*u + 6. Calculate v(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5173 times -0.4\nAnswer: -0.20692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*x - 0*q - 4, 2*x + 2*q = -2. Let l = x - -4. Suppose -g - 4*t - 8 + 83 = 0, -l = 4*t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 - r. Let o be q(-1). Suppose -2*t + 40 = 3*t + 5*y, -o*t + 36 = 5*y. Suppose t*x - 2*j - 80 = x, 3*x - 5*j = 92. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261021001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 40*d = -6. Which is bigger: d or -156\/77?\nAnswer: -156\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227030*r**6 + 13013*r**2 - 21*r + 2.\nAnswer: 27243600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.57494 + 20.645593. Let k = 2.93 + b. Round k to five dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/15) - -1. Is 1911 + -4 + (p - -12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a + 25 = 0. Calculate the remainder when a\/((-15)\/(-9)) - -48 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**9\/15120 + i**5\/120 - i**4\/12 - i. Let y(o) be the third derivative of t(o). What is the derivative of y(f) wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 452.06 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 (base 15) in base 8?\nAnswer: -10115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8180 or -32725\/4?\nAnswer: -32725\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -566*s**3 + 5*s**2 - 15*s + 7. Let b(m) = 281*m**3 - 2*m**2 + 6*m - 3. Give -15*b(x) - 6*d(x).\nAnswer: -819*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-1 + 2 + -2)) + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 4*sqrt(91)*-5 + (5*(sqrt(91) + 2*sqrt(91)) + sqrt(91) - sqrt(91) - sqrt(91)))\/(sqrt(175)*-5 - -2*sqrt(252)))**2.\nAnswer: 25\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:04 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*(-200)\/6*367\/(-1835)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 11*l - 9. Let i(q) = q**2 + 5*q + 4. What is -13*i(c) - 6*n(c)?\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 7*j**2 + 9 + 9*j - 4*j.\nAnswer: -7*j**2 + 21*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -841 - -435. Let a = m - -579. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - p**2 - p - 7. Suppose z + 144 = 5*z - 3*x, 3*z - 108 = 3*x. Suppose -5*t = z - 46. Let k be (5 + -3 - t)*-1. Determine r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) + (1*sqrt(25))\/sqrt(5)))**2 - (2*(sqrt(25) + sqrt(25)*-2))\/sqrt(5).\nAnswer: 2*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*t + 3471*a**2 + 6*a*l - 2*a*t + 2032*l*t + 13 with respect to a.\nAnswer: 3*a**2*t + 6942*a + 6*l - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 63083*h + 84116.\nAnswer: -(h + 21029)*(3*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1053*o - 1169. Is q(7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) - 114\/(-22). Solve 0 = 5*v + 20, -f*k + v = -0*v - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -10160*d**2 + 23776*d**2 + 19718*d**2 - 3*d - d - 4. Let j be b(3). What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196096 is divided by 229?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430983131.\nAnswer: 3, 476994377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24550 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2. Let t(z) = 231 - 2*z - 225 + z + 0*z + 3*z. Give o(t(p)).\nAnswer: -36*p**2 - 216*p - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/((-3)\/(-9)). Let y = 1 - 1. Let f = 0 + -0.1. Which is the closest to y? (a) f (b) q (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 534 + -3?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -2308, -5150, -9118, -14212, -20432?\nAnswer: -27778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*x + 18, -33*x + 5*b - 12 = -32*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -1\/2*j**2 - 9 + j. Give i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 7*j. Let w(y) = 48*y**2 - 111*y. Determine 33*i(a) + 2*w(a).\nAnswer: -3*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*260\/(-104)*3\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (-5 - -4) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 - -4384 - 2) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*q + 517*q + 248*q - 190*q in the form x*q + r and give x.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 327. Solve -6*t + c*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 4. Let w be k(-5). Let d = 0 - -0.1. Let p = d + -0.2. Is p at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.32285 seconds to milliseconds.\nAnswer: 71322.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(3\/7))))\/h)**44\/(h\/(h**(2\/51)*h))**(4\/21) assuming h is positive.\nAnswer: h**(20204\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -22. Let s = 8488 - 8474. Are s and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -183581.64806163?\nAnswer: 183582.04806163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-28))\/((-2)\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 2*i + 0*i)*(-1 + 2 + 1) + 5 - 2 - 2 - i in the form t + g*i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6004, -14043, -22082, -30121, -38160, -46199?\nAnswer: -54238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.5654055869 and -1.6.\nAnswer: -4.1654055869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17438\/5 - 3472. Which is smaller: 17 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12029, 24056, 36087, 48122, 60161, 72204?\nAnswer: 84251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 2*k - 40, -k = -x + 12. Suppose 89 = 5*q - x. Let d = q - 11. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 14*k - 11*k. Let c be -6*(-1 + k\/6). Does 6 divide (-920)\/(-90) - c\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -2) + (-1 - -2). Suppose -8*v + 2*w - 138 = -12*v, -2*w - 107 = -3*v. Let q = d + v. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 3. What is the least common multiple of 20 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13371, 110721, 374947, 889485, 1737771, 3003241, 4769331?\nAnswer: 7119477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1039637 to three decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -381270 or -381275?\nAnswer: -381270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/13, -0.051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(-5)\/p))\/p)\/(p**(1\/3)\/p*p))\/(p*p\/(p\/(p**(-2\/5)\/p))*p*(p\/p**2)\/p))\/((p\/p**(6\/7))\/(p\/p**(1\/7))*(p**1\/p)\/(p\/(p**5*p)*p)) assuming p is positive.\nAnswer: p**(397\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2342, -4445, -6548, -8651, -10754?\n\"Answer: -2103*b - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.433 - -0.317. Let q = -3.8 + z. Put q, 0.5, 2\/5, 5\/6 in descending order.\nAnswer: 5\/6, 0.5, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -104, 3\/13, 3, -3?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -7*b**5\/10 + 7*b**3\/6 + 6*b. Find the second derivative of d(c) wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 70\/19*d - 138\/19*d**2 + 66\/19*d**3 + 0 + 2\/19*d**4 = 0. Calculate d.\nAnswer: -35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2223 = 289568*n - 289451*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.112876 and 2.\nAnswer: 17.112876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018076 rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.07203 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59653*p + 52417 wrt p.\nAnswer: -59653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -354, -507, -626, -699, -714?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Suppose 0 = j - o, t*j - 3*o = -8*o + 9. Solve -d + 2 = b + j, 5*b = -d + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -12 - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/90)\/(21\/28))\/((-8)\/30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + -20?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*r - 13, 4*w + 3*r = -r + 32. Let m(u) = -74*u - 506. Let n be m(-7). What is the highest common divisor of n and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*w - 14, -7 = 4*z - 10*w + 5*w. Let v(l) = -4 + z*l**2 - 3*l + 6*l + 3. Let s(h) = h**2 + 3*h - 5*h + 3*h. Determine 3*s(x) - v(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*t - 2*t + 5*j, -23 = -5*t - 2*j. Suppose 0*y - t*y + 100 = 5*d, 4*y - 14 = -d. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122333101 - -3?\nAnswer: 122333110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6045 - (-11)\/(121\/176)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and 0.06.\nAnswer: 13.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**7)*p)\/(p\/(p**(13\/4)*p))*(p\/(p**(1\/8)\/p))\/((p*p\/(p**(6\/7)*p))\/p*p))**(-8) assuming p is positive.\nAnswer: p**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593359 is divided by 5494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-20))\/((-5)\/40). Suppose -3*b + 38 = -4*g, 5*b + k*g = 8 + 12. Solve 8*h = 2*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 193 - 3*c - 2*c**2 + 133 - 163 + c**2 + 5*c in the form z + i*c + w*c**2 and give z.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14828, -14830, -14832, -14834, -14836, -14838?\nAnswer: -14840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/13*r**5 + 100\/13 - 8\/13*r**3 + 16\/13*r**4 - 116\/13*r**2 + 10\/13*r = 0. What is r?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*a + 2, -4*x = -a + 57 - 47 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - l = 29, 4*v + 3*l = -l - 44. Suppose -5*t = 3*u - 69, -4*t = u - 2*u + 6. Calculate the lowest common multiple of 1*(-2 - -3 - v) and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b + 4*b**3 + 2*b**4 - 21*b + 10*b + (-8 + b**2 + 8)*(5*b**2 - 10*b + 10*b).\nAnswer: 7*b**4 + 4*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11030 + -12343134?\nAnswer: -12332104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81504 is divided by 321.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238534 (base 10) to base 13.\nAnswer: -8475a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565211065?\nAnswer: 5, 31, 3646523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - -1)*(1 - 0). Let t = -72\/31 + -2987\/62. What is the common denominator of t and (-578)\/220 - (-2)\/p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/60 + j**4\/6 + j**3\/3 - j**2. Let m be c(-4). Suppose q + 5*x - m = 0, 4*q - 8 = 3*q - 2*x. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 2)*(-2*d - d + 6*d) + 3*d + d - 2*d + (-2 + 5 - 4)*(-2*d - d + 2*d) + 0*d + 0*d + 2*d.\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) 0.7 (c) -0.3 (d) -3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 - 509. Which is the nearest to -1? (a) -8\/3 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 9*y**2 + 12*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 0*h - 2*h)*(-3 + h + 3) - h + 2*h**2 + h + (-11*h + 10*h + 12*h)*(-3 + h + 3) as k + a*h**2 + m*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.045? (a) 3\/5 (b) 34 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*r + 5*v, 4*r + 3*v - 107 - 5 = 0. Suppose -4*a + 5*w - 3 = 5, 3*a + 5*w + 6 = 0. Let g be (180\/r)\/3 + a. Sort -0.4, g, -0.2 in descending order.\nAnswer: g, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, -29, -85, -169, -287?\n\"Answer: -q**3 - 5*q**2 - 12*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19550975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k + 52. Let q be r(-4). Let j(x) = -x**2 + 5*x - 2. Let l be j(3). Let u be l*-11*6\/q. What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.906 times 3.3\nAnswer: 2.9898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 7690, -2, 12 in decreasing order.\nAnswer: 7690, 12, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3239 and 0.2.\nAnswer: -3238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a**2 - 6*a + 7. Determine v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a + 397*a**2 + 1 - 9 - 399*a**2.\nAnswer: -2*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*p + 5*o - 7, 2*p - 4*o - 12 = 0. Suppose 4 = p*a - 4*a. Factor 11*z**2 - 4*z**a + 2*z - 5*z**2.\nAnswer: 2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4030)\/52)\/31*(-1)\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. What is the closest to -0.1 in d, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, j: 2, c: 3, w: 2, e: 3}. What is prob of picking 2 c, 1 j, and 1 e?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -21*q**5\/8 - 5*q**3\/3 + 9*q**2\/2 - 44. Let p(v) be the third derivative of d(v). Let r(o) = -2*o. What is p(r(t))?\nAnswer: 630*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13521*z - 2*z**2 + 13521*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:04 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 0*c - 4*c)*(2*c + c - 4*c) + (-2*c + 3*c + 2*c)*(c - c + 2*c) to u + f*c + w*c**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -13*m + 40. Suppose -5*d - 1224 = -1269. Suppose -3*l + 20 = 2*l. Solve l*i = d*i - m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1340\/50)\/((-4)\/(-10)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*m + 2 - 4 + 18*m + 233*m + 33*m as h*m + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 8:10 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -3693?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 152312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21582? (a) 1\/8 (b) 5 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)\/(g*g**2\/g))\/(g*(g*g**2*g)\/g*g*g)**(-32\/7) assuming g is positive.\nAnswer: g**(883\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*d - 7*d = -7, -4*u + 14 = d. Sort 0, -1, u in descending order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/288 and 79\/480.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3 and 47\/23098371.\nAnswer: 23098371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2*x**7\/105 + x**5\/12 + 2*x**4\/3 + 11*x**2 - 3*x. Find the second derivative of q(k) wrt k.\nAnswer: 48*k**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 12*l - 4*l)*(4*l - 1474 - 2*l + 1476).\nAnswer: -26*l**2 - 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:21 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u - u - 5*u + 3*u + u + (-u - u + 0*u)*(3 - 1 - 1) - 1 + 1 - 3*u + (-1 + 3 - 4)*(u + 1 - 1).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/14, 5, 0, 3, -3 in descending order.\nAnswer: 5, 3, 3\/14, 0, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663650214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1164 - 1611*i**2 + 1159 - 2323 to d + f*i**2 + q*i and give f.\nAnswer: -1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092223344 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 n, and 1 u when four letters picked without replacement from {f: 1, v: 4, n: 4, t: 1, u: 5}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 + 5 + 7*n**3 + n**3 - 4*n to the form i*n**3 + o*n + z*n**2 + q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1136450583 and 18.\nAnswer: 2272901166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138122123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-6)\/20))\/((-130)\/(-130)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -398*j**3 + 1016*j + 625*j**2 + 1958*j**3 - 1019*j wrt j.\nAnswer: 9360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156316 (base 7) to base 12\nAnswer: -15b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*c**3 + 99*a*c - 7*a + 2*c**4 - 13 wrt c?\nAnswer: 6*a*c**2 + 99*a + 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 650\/(-6) + 126\/(-27). Which is the closest to 0? (a) 3 (b) -5 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 4*x + 1. Let m be s(-3). Suppose 12 = 3*u - 2*n, -4*u + 4*n = u - 18. Suppose m*y + u - 21 = -f, 4 = 4*y. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 2*x - 12, x + 22 = -4*f. Let v be x\/((-260)\/64 + 4). Solve 0 = -2*r + 5*a - 30, 11 = r - 4*a + v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109410299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(1 - 1 - -3). Let z be (-14)\/g - (-4)\/6. Let r be (-30)\/z*(-2)\/10. Which is the nearest to -1\/2? (a) -1 (b) r (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-172)\/5. Let z(l) = -l**2 + 3*l. Let b be z(3). Suppose b*n - 4*u + 21 = n, 0 = -4*u + 4. What is the greatest common divisor of n and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828378383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 621 + -429. Suppose x = -10*s + 402. What is the remainder when 46 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -41 + 10*r + 12*r - 9*r. Let f(l) = 39*l + 88. Let u be f(-2). Is b(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11379, -330, -93 in descending order.\nAnswer: 11379, -93, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23896 is divided by 1916.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3542 + 10619 + 26552*z - 3542 - 3535.\nAnswer: 26552*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 2*y**2 - y**2 + (-40 + 6*y + 40)*((-3*y - 5*y + 3*y)*(1 + 1 + 0) + 1 - 1 - 2*y).\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2004*f + 54114. Determine u(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 19*c**3 - 110*c**2 - 2*c - 17. Give b(6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 16*g + 16*g + 256 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:32 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 + 696. Let l = 401.699 - o. Round l to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-415)\/50 - (1836\/(-85))\/(-27)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2376 divided by -594\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 - 3*a**2)*(-8*a - 16*a - 3*a).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 1 - -5 - -19) + (-4 - 0) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -44*m + 49*m + q, 39 = 3*m - 5*q. Solve -17*y - 18 = -3*z - 14*y, -2*z - m*y = 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70a3 - -1321?\nAnswer: 83c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - u**3 + u**2 + 0*u**3 + (-146 + 146 - 10*u**2)*(18 - u - 18)*(-2 + 0 + 3) as w*u**3 + g*u**2 + p + l*u and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1957 + -1963. What is the closest to 0.2 in 3, 0.5, k, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 6)*34\/4. Suppose 2*d = -0*d + n. What is the highest common divisor of d and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*r - 67*r - 68203 = 582*r + 56397 for r.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88595161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -253, -284, -317?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888) + sqrt(3888)*1 - sqrt(3888)) + sqrt(27))\/(sqrt(9)*-2*5).\nAnswer: -13*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 = -2. Let d = 125 + -123. What is the remainder when b is divided by (1 - d) + (10 - 1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898910027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10739486 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 8:32 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139.908 - 140. What is d rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -19 + 17 + -6 + (25 - -2 - -3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 523\/14805 + 3\/329. Is 0 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -739615 divided by -108.\nAnswer: 739615\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256436 - -0.16.\nAnswer: -256435.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2525*d + 1212. Calculate a(-1).\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 1. Let l(q) = 199*q**2 + q - 3. Let j(n) = l(n) - 3*r(n). What is the tens digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -853*l + 833*l + 120. Let i(f) be the first derivative of -2 - 1\/2*f**2 + 2*f. Determine i(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -37.5. Let y = 0 + 0. Let h = y + 0.1. Sort c, -2\/13, h in descending order.\nAnswer: h, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 9\/7*a**3 + 0 - 9\/7*a - 3\/7*a**4 + 3\/7*a**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w + 1. Let y be m(-1). Suppose -h + 9 = -y. Let x = -14 + h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*f**5 - 2*f**4 - 31006*f**3 + 2*f**2 + 28167494 wrt f?\nAnswer: -19920*f**2 - 48*f - 186036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 31*s. Let u(b) = -78*b. What is -12*h(c) - 5*u(c)?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 38.06. Let o = z + -39. Which is the nearest to -1? (a) o (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)*(40\/5)\/8. Suppose 0 = 4*m - 5*m - 2*q + 1, m = 4*q + 7. Suppose 0 = -6*y + y - 20. Sort r, m, y in ascending order.\nAnswer: y, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*5*(-5)\/((-200)\/(-96)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(((y**7\/y*y)\/y)\/y))\/y)\/y)\/(y*y*y**(-1\/2)*y)*y**3\/y**(2\/13))**(-1\/13) assuming y is positive.\nAnswer: y**(121\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**2 + 299*q - 6. What is the remainder when 750 is divided by m(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1105 in -5, 2, 1\/9, 16\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*-2 - sqrt(4))\/(sqrt(6)\/(sqrt(18)\/sqrt(6))))**2 + -2.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*l - 29 + 13, 2 = -i + 5*l. Let k = -2 - i. Put -4, 18, k in descending order.\nAnswer: 18, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3626\/182 - 18) + -1.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 590 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let m be c(5). Suppose -f = -6*f + 10. Let u(i) = -i**2 + m*i**2 - f*i**2. Let l(g) = g. What is u(l(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*u + 172 = 0, -86*z + 96 = -84*z + u. Suppose 0 = 3*r - z - 50. Calculate the greatest common factor of 80 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8028367596 - 8028365855.0003985. Let z = s - 1741. Round z to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*k*u**2 + 644*d**3*k*u + 1174*d**3*k + 5*d**3 + 17264918*d**2*k*u**2 + 3*d**2*u + 2*k*u wrt u?\nAnswer: 4*d**3*k + 34529836*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -34\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 0.035 in increasing order.\nAnswer: 0.035, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1459280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhej when four letters picked without replacement from qhjqhrqjhqqqehhqhqj.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.403085 milliseconds to seconds.\nAnswer: 0.001403085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -42, -131, -306, -597?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3767904 and 214312.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.2 (b) -0.4 (c) -23\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1179 - 46?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 3166153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -7\/4, 0.1, -1, 0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0047612 and 0.1.\nAnswer: -0.00047612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 1. Let w(p) = -602*p. Calculate w(q(r)).\nAnswer: -602*r**2 - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Suppose -r - 3*a - 11 = 1, -20 = -r + 5*a. Put r, -5, h in decreasing order.\nAnswer: r, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 2, -0.066, -0.1, -1\/134?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -17*t**4\/24 - 13*t**3\/3 + 18*t**2. Let h be o(-5). Suppose 4*x + 17 + h = q, 2*x = 5*q - 308. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 3}. Give prob of sequence nnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40708037 times 11?\nAnswer: 447788407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -536 + 616.5. Let g = s + -80.5001005. What is g rounded to six decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 1. Let z be a(2). Let o = 1 + -1. Solve -5*y - z*c - 13 = 0, o = y - 5*y - 5*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 56234, -5.\nAnswer: -5, -5\/2, 56234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -110. Suppose -4*l - 9 = 5*u + 8, -u = 5*l + 16. Let i = c - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1780 - -1840. Calculate the least common multiple of 330 and x.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16624 = -3*k + 2*n, 3*k - 222*n - 16636 = -223*n. What is the lowest common multiple of k and 6237?\nAnswer: 49896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/60)\/(10\/350)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 0. Suppose k = 2*x - 152 + 2022. Find the common denominator of (-4)\/6 - x\/(-528) and 57\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23848?\nAnswer: 23853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 33*v + 14. Let o be r(17). What is the common denominator of ((-51)\/16 - o)\/((-45)\/(-390)) and (2\/(-10))\/((-12)\/1335)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {n: 3, w: 3, j: 1, o: 8, s: 2, x: 1}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9449263 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033*0.72.\nAnswer: -0.02376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m + 45*m - 53*m + 104 + 311 - 2*m**3 in the form w*m**3 + l*m**2 + x + h*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 73, 81?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 5. What is the greatest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)\/d*(d\/(d\/((d\/d**(-2\/9)*d)\/d)))\/d)\/(d**(-6\/7)*d\/(d*d**(-5)*d))*(d*d\/d**0*d*d**(5\/4))\/((d*(d\/d**6)\/d)\/(d**(-2)*d)) assuming d is positive.\nAnswer: d**(1595\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/(-143))\/(-9)*2\/(-6)*1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -378 + 385 + (5 - (-1 - 51) - 8)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + l - 77*l**3 + 23*l**3 - 4*l + 0*l.\nAnswer: -54*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*d**3 - 10*d - 2*d**2 + 6*d + 4*d + 1226*d**3.\nAnswer: 933*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*f**4 + 246*f**3 - 246*f**3 - 33 with respect to f.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 9*z**2 + 2*z + 21. Let t be i(5). Let u be (t*(-35)\/(-168))\/(2\/(-8)). Let v = -2.9 + 3. What is the nearest to 2\/3 in -3, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(56)\/sqrt(8) - sqrt(70)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d = -73*d - 12. Solve 0 = d*y - 17*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let y(m) be the second derivative of 2*m**4\/3 + 18*m. Let d be (-993)\/9*1 - (-1)\/3. Let w = -106 - d. What is w*y(n) - 28*u(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9) + -149 + 146.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 - 2. Let j(a) = -3*a**3 - 9*a**2 + 4. Let h(x) = x**2 + 4*x - 3. Suppose 5*f - f = -16. Let r be h(f). Determine r*j(i) - 7*p(i).\nAnswer: 2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {s: 1, r: 1, b: 4, x: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/15)\/(24\/(-40)). Solve -11 = 3*k - b, 4*k + 8 = -s*b - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17001, 67960, 152891, 271794, 424669?\n\"Answer: 16986*i**2 + i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*b**2 + 1114*b**2 + 1042*b**2 + 12*b**2.\nAnswer: 2577*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05426 - -0.01574. Which is the closest to -0.1? (a) 0 (b) 10\/11 (c) x (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*g - d, -d = 4*g + 4*d - 50. What is the least common multiple of 7416 and g?\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 4*n**2 + 5*n. Let i be q(-5). Let z be 2\/(-4)*i - -2. Suppose -3*p + 50 = 3*u - z*p, -2*u - 3*p = -38. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -36, -84, -152, -240?\n\"Answer: -10*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in -23, -4.18, 1, -10, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or -5403.393?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 - 2 = 0. Suppose -f*j = 3*j. Solve 2*p - 7*p - 15 = j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -2 - (-14)\/2. List the prime factors of ((2 - 3) + k)*4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-7)\/(-2)) - -20. Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 2*i**2 + 40 + 5*i**2 - 105.\nAnswer: 3*i**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuppuuuuuuuuuupu. Give prob of sequence ppu.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11110010110001100000 (base 2) to base 3\nAnswer: 1212112001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 v when four letters picked without replacement from {o: 12, v: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-238)\/(-170) + 1266\/10. What is the greatest common divisor of s and 1184?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*1161\/2580\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/35 less than 784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1323?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -65*(-48)\/9360 + 106\/6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713304*a**2*w**3 - 447*a**2*w**2 - 2*a**2*w - a*w**2 + 10*a + 2 wrt w.\nAnswer: -4279824*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -6)*(-46)\/(-8). Let x = n + 26. Solve 3*c - 5*v - 40 = 0, -3*v + 35 = x*c - 7*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516 divided by 85?\nAnswer: 3516\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 581 and 5395?\nAnswer: 37765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {d: 1, u: 1, m: 4, z: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10533 + -2?\nAnswer: -10535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, 0.051?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 0*l**3 - 2*l + l**4 - 778 + 7*l**3 + 777 as w*l**3 + h*l + s*l**4 + i + t*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -3 - (3 + 0 + (-5 - (29 + -21))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22538 is divided by 21685.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -71962 + 4\nAnswer: -71958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 2, y: 3}. Give prob of sequence yygj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.06 (c) 15190 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13973, 55931, 125875, 223811, 349745, 503683, 685631?\nAnswer: 895595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -5579205?\nAnswer: 11158410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + 4 - 4 + (3 - h - 3)*(h + h - 5*h) + 2*h + h**2 - 2*h - h**2 - 3 + 1 + 0*h**2.\nAnswer: 7*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304967?\nAnswer: 13, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 5:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4446*p**2*s**2 - 17*p**2*s + 3*p*s**3 + 54*s**3 + 12908*s**2 wrt p.\nAnswer: -8892*p*s**2 - 34*p*s + 3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7683*h*o - h + 233*o - 225 wrt h.\nAnswer: -7683*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 92 = -s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2851 (b) 393 (c) -5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 10:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**10*s)*s)**32 assuming s is positive.\nAnswer: s**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 2*q)*(3 - 4 - 4) + q - 5*q + 3*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -30*z + 4. Let r be s(0). Solve 3*f + 2*k = -2*f + 5, -5*f + r*k = -35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -20 + -20 + 45?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177388 rounded to the nearest 1000?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3026 - 2929 + 7739)*(-5*n + 3*n + 0*n)*(1 - 2 - 4) in the form i + x*n and give x.\nAnswer: 78360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nngngnnnnggng. Give prob of sequence gggg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 2*o**2 + 82 - 84. Let b(a) = -2*a. Determine g(b(q)).\nAnswer: -16*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49518 and 21.\nAnswer: 49518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/84 and -55\/1076.\nAnswer: 22596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 6) to base 5\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -67979*b**3 + 11*b**2 - 8*b + 10. Let y be f(-9). Let m = -23246793 + y. Let n = 46610871 - m. Round n to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6897 - -4.0897. Which is the smallest value? (a) 1 (b) -964 (c) 4\/7 (d) -4 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.10244 rounded to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1939921 - -0.194. Round y to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 9*i**2 + 3*i + 29. Let u be t(-9). Solve -7*n + 4*f - 8 = -2*n, u*n - 4*f = -8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 + 2 = 0. Suppose y*p - 17 = 67. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 - (-7 + (-1 - -10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 68 = 4*x - 222, x - 71 = -r. Suppose 0*m + 4 = m, x = 4*o + 3*m. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 13*z - 1. Let t(x) = -12*x**2 + 69*x - 4. Let w(s) = 11*r(s) - 2*t(s). Determine w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f + 916. Calculate l(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3*f**5\/5 + 8*f + 1. Differentiate b(k) with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f + 2. Suppose 2*d + 2*x + 8 = x, 2*x = -4. Let t be z(d). Solve 25 = t*s - 7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 38 = -4*r, -2*r - 14 = -3*r + j. Suppose -r = 8*s - 59. Suppose -s - 27 = -c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.36 + -6.36. Let r = -669\/20 - -133\/4. What is the third biggest value in y, r, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-7))\/(4 - (-78)\/(-21)). Let u(q) = -12*q + 22*q - 9*q + i. What is u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, 1, 343 in descending order.\nAnswer: 343, 277, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -787, 2, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqqi when four letters picked without replacement from txijqqrx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 29*d - 30. Let a be l(30). Sort -15, -6, a.\nAnswer: -15, -6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/150)\/(2 - 0 - 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20480 and 50560?\nAnswer: 1617920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7939 + 7938.6. What is the biggest value in -4\/7, j, 0.47, -2\/7, 2\/5?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 7*b**2 + 7*b - 9. Let i be q(6). Let d = i - -5. Suppose 3*f + 4*v = 5, d*f = -0*v - 2*v + 2. Put 2, f, -3 in increasing order.\nAnswer: -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*j - 1 - 19 + 117*j + 19.\nAnswer: 670*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 2*r**2 - 5*r)*(-2*r**2 - 3 + 3) + r**4 + 0*r**3 + 0*r**3 + 2*r - 4*r**4 - 2*r + (29*r**2 + 4 - 4)*(-26*r + 7*r**2 + 26*r) + 2*r**4 + 5 - 5.\nAnswer: 198*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332?\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:09 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4026 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 434568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/6*(-1)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 461840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2 - 2*f**5 + 538*f**3 + 16 + 3*f - 538*f**3 wrt f?\nAnswer: -40*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2. Let v(s) = 890*s. Determine v(u(n)).\nAnswer: -8010*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -681 - -684. What is the third derivative of -13*m - 71*m**3 + 303*m**2 + 13*m + 305*m**h - 85*m**2 wrt m?\nAnswer: 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 4*a. Suppose a = -4*t + 155 + 225. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76099*n + 1624504 - 1624504.\nAnswer: 76099*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 - 63*l + 301. What is j(4)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*n + 141*n + 1276*n - 263*n.\nAnswer: 1580*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -78 (b) 4 (c) 90188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/15 + a**4\/24 + 2*a**2. Let d(t) be the first derivative of -t**3\/3 - t + 395. Give 2*d(s) - l(s).\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 568335, 4, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*i + 321, -3*i + 8*i = -3*o + 199. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 114. Let k be i\/(-77) - 4\/(-22). Calculate the remainder when 38 is divided by 153\/12 - k\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -27. Let w be (q - ((-16)\/(-12) - -1))\/4. Is w bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-259347)\/(-10))\/(-319) + 81?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 11*d**2 - 3*d - 3. Let k(u) = 2*u - u - 12*u**2 - 7*u + 4 + 10*u. Let r(w) = 3*k(w) + 4*t(w). Factor r(b).\nAnswer: 4*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9034457.19 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2. Let a(t) = -96*t**3 + 32*t**2. Calculate -3*a(g) - 48*m(g).\nAnswer: 288*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000 - 111101110100010?\nAnswer: -111110011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -2)*(-1)\/(-2)*-1. Let g be 10\/(-15)*9*b\/(-20). What is the second smallest value in 0.5, g, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 4*g**3 - g**3 + (2*g**2 - 2*g**2 - g**2)*(-3*g + 2*g + 2*g) + (7*g + 0 + 0)*(-3*g**2 + 4*g**2 + g**2).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.99851 + -17. What is o rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 19. Let v be (15\/20)\/(0 - 15\/(-8)). Let o = 418\/3 + -141. Which is the closest to v? (a) u (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12118947 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 + 1247 = k. Is 4\/(-38) - k*(-124)\/19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/7, 2\/5, -8, 2 in increasing order.\nAnswer: -8, -4, 2\/5, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107441 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:49 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(-4 + sqrt(288) + 1 + -4 + (1*sqrt(288) - sqrt(288))) + -3)**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -9*f + 255 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 2. Let w(o) = -2*o**2 - 2*o - 2. Let a be w(-2). Let c be -2*(-3)\/a + 3. Let l(j) = c*j + 0 + 2 - 1. Determine 4*l(r) - 3*x(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, -147, -450, -753, -1056, -1359?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 4:32 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-3696)*-11*-8\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 - 2*q + 1. Let z be u(1). Let r be ((-112)\/z - 2) + (-16)\/72. Solve 3*x - r = 7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265704 divided by -6.\nAnswer: 632852\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -538\/19, 16, -0.3, 0, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 36*x + 48. Let d be ((-174)\/(-21) - 0) + 4\/(-14). Let i be p(d). What is the greatest common divisor of 42 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*f*k*w + 2850*c**2*f*w**2 + 14*c**2*w**2 + 4*c**2*w - c*f*w + 16*c*f - 2*f*k*w**2 + 3*k*w + 2*k wrt w.\nAnswer: 5700*c**2*f + 28*c**2 - 4*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 20. Solve 0 = -c - k + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 316727.1 nanometers?\nAnswer: 0.03167271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 474*s**2 - 14550*s - 1321. Give d(441).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/1936)\/(6\/460). Let s = -2\/121 - k. Which is the second smallest value? (a) s (b) 0.5 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 30*x + 30 = 0. Let f be ((-20)\/25)\/(6\/x). Let i be ((-102)\/(-36))\/(f\/(-12)). Solve 3*w + 4*o = i, 2*w = -0*w + 5*o - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100310, -100298, -100286, -100274, -100262?\nAnswer: -100250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -971, -1510, -2049, -2588, -3127, -3666?\n\"Answer: -539*v - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b + 28 = 76 + 52 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.162 and -2.2?\nAnswer: 0.3564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5874 by -1958.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 81*t**3 - 6*t**3 - t**2 + 2*t + 0*t - 1. Let l be w(1). What is the units digit of (-3)\/12 - l\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -375 (base 9) to base 3\nAnswer: -102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 172. Suppose 5*v + 16 = p. Suppose u - v + 5 = 0. What is the greatest common factor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 42 = -23*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/u**19 assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*g*i*r**3 + 3*g*i*r**2 - g*i + 3*g*r**3 + 9*r with respect to i.\nAnswer: -160*g*r**3 + 3*g*r**2 - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6045 and 333.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + -2.2. Which is the second smallest value? (a) -0.06 (b) o (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (51 + (-31 - 22) - (0 + -13)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 31*i + 4862. Let a(w) = -w. What is a(j(z))?\nAnswer: -5*z**2 - 31*z - 4862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1269067689 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 11*a - 9*a. Suppose 3*u + j = -4*j + 37, -2*u + 2*j = 2. Let x(o) = 2*o + o - u*o + 9 - 3. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4581\/889 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 30462.15 decades?\nAnswer: 3046.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 - 2012122?\nAnswer: -2100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 26*j**3 - 71*j**2 - 46*j.\nAnswer: -j*(j + 1)*(j + 2)*(j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.2478 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10471 times 0.9\nAnswer: -9423.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/11)*v)*v\/v**(-2\/9))\/(v**(-1\/2))**(47\/2))**(-2\/133) assuming v is positive.\nAnswer: v**(-5209\/26334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 168.63 and 430.\nAnswer: 72510.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-7) - -1 - 1352\/(-1547). Is 2 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-21 - -10 - 2)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8019 = -358*c + 1087*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 + 3*x. Let d(n) = 5*n**3 - 4*n. Let m be (2\/4 + -2)*2. Suppose -20 = -40*t + 45*t. Calculate m*d(j) + t*a(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -468 + 678. Suppose -39 - 81 = -3*v. Suppose 0 = -5*d + w + v. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y - 38*y + 2522 = -26*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5646 divided by 6.\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7791, 7792, 7793?\nAnswer: 7794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -2*h - 2, 5*y = 2*h + 14. Suppose -y*d = -10*d + 18. Suppose -57 = -6*w - d. Solve 2*b + 3*m = -3*b + w, -3*b + m = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -788126 and -32.\nAnswer: 25220032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38*-15956.25\nAnswer: 606337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 26. What is the smallest common multiple of 8 and r(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.719 - -12607.381. Let b = -12599.1021 + w. Let a = b - 17. Round a to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125867 at most -125814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2*q - 2*j*q**2 + 5249*j*q + j + 726*q**2 + q - 15 wrt j.\nAnswer: 6*j*q - 2*q**2 + 5249*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 1. Let s be 2\/(-4)*(-7 + 5). Let v(x) = -26*x**2 - 2 + 1 + 3 + 25*x**2. Calculate s*v(f) - 2*j(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-8) - 7) + 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*f**2*n + 113670*f**2 + 2*f*n - 4*f - 29*n - 363 wrt f.\nAnswer: -132*n + 227340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 47546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - (6 + -3) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 13*x - 18*x. Solve 2*u + 3*u + 12 = -x*p, -p + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053375579 to 3 dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/((-3)\/(-3)). Let j = 14.35 - 14.35. Let u = 0.3 - 2.3. Which is the third biggest value? (a) j (b) u (c) o (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2160.906975396?\nAnswer: 2165.906975396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 + 1\/(-55). Let d = 1 - 6. Let i(l) = -l. Let o be i(4). What is the nearest to h in 2, d, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 812600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f)\/(f*f**19)*(f*f\/((f\/(f*f*(f\/f**8)\/f*f))\/f)*f)**(-35\/4) assuming f is positive.\nAnswer: f**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 4*n - 7. Let t be z(4). Let a(h) = -h**3 + h + 14. Let x be a(0). Let d = x + t. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 0) + (134 - 123).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - 1*sqrt(165)*-1)\/(sqrt(5) + sqrt(45)\/sqrt(144)))\/(sqrt(768)\/sqrt(4) + sqrt(243)*3).\nAnswer: 8*sqrt(11)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/10 - x**4\/4 + 13*x**3\/6 - 9*x**2. What is the units digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 23*c)*(-39*c + 4 - 62*c + 72*c).\nAnswer: 580*c**2 - 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*o - 434, 5*u - 3*o - 1422 - 720 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229161723.\nAnswer: 3, 7, 59, 184957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -46. Let z be (0 - k)*12\/9. Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/2 (c) -79 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 plus 97356?\nAnswer: 97409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/83232 and 73\/552.\nAnswer: 1914336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12642\/(-12726) + ((-75)\/(-81) - (-292)\/3942)\nAnswer: 2\/303","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12243 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001100110001000001110 + -1?\nAnswer: -100111001100110001000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Suppose i = -h - 1 + 15. Let l = h + -9. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735746267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/12 - (-455 + 0)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and 55\/175782.\nAnswer: 175782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.78*16130.04\nAnswer: -12581.4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554 (base 15) in base 8?\nAnswer: 43237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (125028\/3776)\/(-9) - -4. Let z = v + 147\/59. Calculate the common denominator of ((-218)\/(-10))\/(14\/(-5)) and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = p - 0*p + 2, -5*p + 2*a = 4. Suppose -5*d - 3*i = 2*i, 2*d + 2 = -3*i. Suppose 8 = 299*f - 301*f. Put 4, d, f, p in increasing order.\nAnswer: f, p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let w be (-4)\/6*r*-2. Solve 3*o = w*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 - 120. Let i be (4\/(-2))\/((-14)\/x). Find the second derivative of i*j - 31*j**4 + 31*j**4 - 4*j**5 wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-2)\/(-18)). Suppose l*v = 5*w + 28 + 26, -4*v + 72 = -4*w. Let x = 20 - 10. Calculate the remainder when v is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 31. Let m be i(7). Let v be m\/1 - (-105 - 39). Suppose 2633 = 9*n + v. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19. Let h(j) = -j**4 - 57. Let m(d) = 4*h(d) + 11*n(d). Differentiate m(z) with respect to z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n - n + 4*n)*(44*n**2 + 21*n**2 - 27*n**2) + 2*n**3 - n**3 - 3*n**3 + 2*n**3 - 7*n**3 - n**3 to the form i*n + x*n**2 + z*n**3 + j and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12973314, -25946645, -38919976?\n\"Answer: -12973331*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44386238, 44386237, 44386236?\n\"Answer: -l + 44386239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1287440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3434*c**3 + 218*c**4 - 3434*c**3)*(-2 + 0 + 1).\nAnswer: -218*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 396*r + 24. Let b(o) = 331*o + 20. Let y(c) = -6*b(c) + 5*v(c). Let f(t) = 0 - 1 + 0. Let k(l) = 3*l + 2. Let n(m) = -2*f(m) - k(m). Give y(n(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18457.9515 + 18462. Round r to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 149.01. Let b = 1 + t. Let i = b - 0.01000225. What is i rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24 - 11)*(-4)\/5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 2*k + 4*k)*(3*k**2 - 2*k**2 + 2*k**2 + (-15*k - 21*k + 25*k)*(3 - 3 + k)) to w*k + h*k**2 + m + p*k**3 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-6)\/2)\/((-47700)\/(-39750)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwawarraa. Give prob of picking 1 w and 2 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from yeetteyecdtteyceyeee.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 5 - 119 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 76*v**2 + 77*v - 132. Let m be j(75). Solve -4*t + m = 5*h, -9 + 1 = -2*h - 2*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 + 236*c + 1403. Calculate o(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267132 divided by 133566.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16559, -16463, -16365, -16265, -16163?\nAnswer: -16059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 7:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1048\nAnswer: 3\/1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 + 148.5. Let u = t + -17.5. Which is the third biggest value? (a) 0.3 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 119*b**2\/2 + 707*b\/4 + 235\/2.\nAnswer: (b + 1)*(b + 2)*(b + 235)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 271*n**2 + 13*n + 8. Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a**2 + 26*a**2 + 21*a**2 + 36*a**2 - 99*a**2 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 3\/2 (c) -172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11164*v + 3322*v + 5840*v + 288*v + 6450*v in the form t*v + c and give t.\nAnswer: 27064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20350)\/74000 - (-15)\/(-24)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -2*y - n*z = -23 + 5, -5 = 5*y - 5*z. What is the second derivative of 8*o + o**4 - 3*o - y*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from fvrrrarrarvafafn.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*-3 - -1. Solve 0 = -5*z - 20, -c + 6*c - 2*z - 18 = n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 6 - 7 + x**2 - 1 - x**2 + 1 + (3 - 3 - x)*(4*x + 2*x - 5*x).\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 56*j**2 - 952*j + 15328. What is a(42)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35461\/76 + -1867\/4. Which is the fourth biggest value? (a) 7.2 (b) o (c) 2\/17 (d) -2\/11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:32 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - sqrt(216)*3 - sqrt(216))\/(sqrt(12) - -4*sqrt(300)).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -745 (base 10) to base 14\nAnswer: -3b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.3 - 10. Let y = -559\/11655 + 22\/1665. Let b = y + -4\/37. Sort b, i, 2 in increasing order.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8343592113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1427477?\nAnswer: 7137385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1040 and 585.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5586 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:06 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from zvynzznvnvnywznvn?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 221.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010269885 rounded to 5 decimal places?\nAnswer: 0.01027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*x = -189*x - 2, -5*c - x - 16 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -8) + (-2 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/8 + 159\/88. Which is the smallest value? (a) -9 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 - s. Let m be k(1). Solve 0 = -2*y - 2*y - 3*w, -5*y - m*w + 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 172, 271, 386, 523, 688?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -174*m**3 - 4*m**2 - m + 5. Let v be i(5). Let c = v - -108729\/5. Let a = c - -103. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, 1 t, and 1 m when four letters picked without replacement from {m: 1, p: 2, y: 3, t: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufmf when four letters picked without replacement from {m: 6, w: 1, k: 2, u: 1, f: 5, z: 2}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i + 81*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 i when four letters picked without replacement from iizizlzlizzlk?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.59583 + 95.6. What is w rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15\/(q**(1\/6)*q)*(((q**18*q)\/q*q)\/q)\/(q\/q**0) assuming q is positive.\nAnswer: q**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1741 divide 1883171683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/150 - 4*o**5\/75 - o**4\/10 - 5*o**2. Determine d, given that t(d) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**6\/480 + m**5\/24 + 17*m**4\/96 + m**3\/3 - 5*m**2. Factor c(g).\nAnswer: (g + 1)**2*(g + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 444259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - 3 - (0 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 185, 414, 735, 1148?\n\"Answer: 46*p**2 - p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/8)*(-39)\/52. Suppose -3*v = -8*v - 50. Let j be (v\/4 + 2)*-6. Solve 3*y = -9, j*l + 7 = 2*y - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.5 + -31. What is the closest to 1\/2 in k, -0.5, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 786. What is the common denominator of -35\/4 and ((-2)\/12)\/((-6)\/d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 9 + 13 + -35 + 10 + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46803336*z - 46803336*z + 4361*z**2)*(-4*z**3 + 2*z**3 + z**3).\nAnswer: -4361*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34b6ec + 0?\nAnswer: -34b6ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140102098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -1)*-3*5\/(-3). Calculate the greatest common factor of h and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-11)\/5 + 0\/4. Let m = -1865\/9 - -207. Sort 2, m, u, 1.\nAnswer: m, u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*k + 2*k**3 + 0*k)*(3 - 2 + 0) + 2 + k**3 - 2 + 2*k**3 - 3*k**3 - 11*k**3)*(0*k - k - k) to the form b*k**4 + v*k**3 + t*k + s*k**2 + i and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s - 213*s + 53*s + 59*s + 55*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 14, 46, 90, 146, 214, 294?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 2, q: 3, g: 2}. What is prob of picking 2 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/187 (b) -4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1011101101100100 (base 2) to base 14\nAnswer: -136a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/((-2)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -458203152*n**4 + 2*n + 200383167 wrt n.\nAnswer: -5498437824*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c - 4. What is the remainder when j(-8) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 1. Let j be w(-2). Suppose 13*p + 52 = 26*p. Sort p, j, 2 in ascending order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167 (base 14) to base 4.\nAnswer: 10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*b - 7, -2*b = b + 9. Suppose 2*s - 3*s - 11 = 4*c, -5*c - 10 = a*s. Let t(m) = 4*m**2 - 9*m - 3. Does 13 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = -w, -5*w - 7 = -2*y. Let m = 38.3 - 38. What is the smallest value in -2, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*k = k + 42, 2*f = -3*k. Let l be (-2)\/6 - (-2)\/f. Suppose l = i - 2*i + 9. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046436 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 7. Let f(g) = -g + 23 - 8 - 14. Give 14*f(t) - 2*p(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*f = 1861 - 300 - 31 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}