diff --git "a/data/dm_maths/full_data_1/1216_11255.jsonl" "b/data/dm_maths/full_data_1/1216_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1216_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort -116824, -10, 1.\nAnswer: -116824, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - bb394?\nAnswer: -bb371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18682 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t + 18*t - 4*t**2 + 7*t**2 + (2*t - 4*t + 0*t)*(t + 2*t - 7*t) + 5*t - t**2 - 5*t to the form q + f*t**2 + h*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*w - 6 = 0, -4*w = -5*t - 5*w + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -64. Let b be 184\/8*(2 - (2 - 1)). Let z = s + b. Solve 2*w - 6*w - 20 = -4*o, 0 = -w + 4*o - z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 4398014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 541*d**5\/60 - d**4\/24 - d**3\/6 + 38*d**2. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.0227017.\nAnswer: -0.00681051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/1397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 1, h: 1, b: 5, g: 1, d: 2, s: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 2625*t**2 + 66440*t - 307440.\nAnswer: -5*(t - 549)*(t - 4)*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose t*r = -4*r + 28. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*w - 32, -m + 8 = m. Let c(o) = -2*o**2 - 2*o + 1. Let a be c(w). Let p = 29 + a. Solve 0*i = -2*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w. Let p(q) = -q**3 + 3*q**2 - 2. Let b be p(2). Suppose -4*m + 3 - 31 = -2*v, 0 = -5*v - b*m + 10. Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 4*p**2 - 4*p**2)*(3*p + 3*p - 4*p) + (p**5 + p**5 - 4*p**5)*(-2 + 0 + 3) - 92*p**5 + 1678*p - 1678*p.\nAnswer: -90*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -665*g - 80*g - 337*g to the form f*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55.44 and -1182706?\nAnswer: 1182761.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172411930 is divided by 308?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6966240 is divided by 514?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 1. Suppose -9*u - 53 = -26. What is v(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 6. Suppose w*x = 2*t + 10, x = t - 5*t. Suppose -2*a + 2*d + x = -2*d, -4*a = 3*d - 8. Solve -s - 11 = 5*z, -a*s - z - z = -2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14337448 by -20308.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.678 - 8.878. Let w = 0.87 - 0.9. Let a = w + -2.97. What is the smallest value in -1, a, j, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4958, 142, -6, -5 in descending order.\nAnswer: 142, -5, -6, -4958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80215\/165384 + 5\/4594. Calculate the common denominator of t and 49\/44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1275 - 1266. Let z(h) = 3*h + 3. Let x be z(2). Solve 0 = l*u - 6*u + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 26*a + 912 = -24*a, 5*w = a + 1126. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 4*w - 1, 5 = -6*m + m - 3*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 23*d + 1. Let o be z(23). Calculate the smallest common multiple of 10\/2 + o - -2 and 35\/(-4)*5\/((-35)\/56).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -7 (b) 1 (c) -4\/7 (d) -3 (e) -14\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (3 + -1 + 21 + 4)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 + 4485*i**2 - 4465587*i - 1296617273 = 0?\nAnswer: -233, 2359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -454? (a) 1\/5 (b) 28 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.4, -0.1, 6\/5, 77?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*b + 43*b + 42. Let y(j) = j**3 + 8*j**2 - 5*j - 16. Let k be y(-8). Suppose 0 = -b*v + k*v - 96. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-99))\/(19\/(-133))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -3 (c) -4 (d) -2325 (e) 1 (f) 0.05 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) - (-607330)\/35. Suppose 0 = 3*z - c - 1596. Suppose j = -3*j + z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, -2, 2\/3, 3 in descending order.\nAnswer: 200, 3, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5051904 and 3788928?\nAnswer: 15155712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, d: 7}. Give prob of sequence ddd.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p**(-5)*p assuming p is positive.\nAnswer: p**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15786 + -15690. What is the least common multiple of 300 and t?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*g + g**3 - 2*g**4 + 6 + 296*g - 22 - 20 - 2 - 2*g**2 as n*g + t + w*g**4 + r*g**2 + f*g**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 + -40453434?\nAnswer: -40453034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(85))\/(5*sqrt(15)\/sqrt(3)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14452583 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = 4*b. Suppose 6*z - 1613 + 671 = b. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1649 and 863484009?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3.01, 8\/5, 4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, w: 1, s: 1, v: 3, c: 1, p: 2}. Give prob of picking 2 h and 1 v.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 142422*v + 10824074. What is k(-76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 15*d**2 + 35*d + 98. Determine k(10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-6))\/h*h)\/(h*h**(-1)))\/((h**(-5)*h)\/h*h*h**(-1)\/h))**34 assuming h is positive.\nAnswer: h**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 326221.2795 rounded to the nearest 1000?\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269 - 268.8. Sort 3, t, -35 in descending order.\nAnswer: 3, t, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/36)\/7)\/(((-77)\/(-33))\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -18 + 8 - (-11 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 2*u + 2*u - 1 - 2*u + 1 + (u + 0 + 0)*(-1 + 0 - 1) + 0*u + 2*u - 4*u + 2*u + u + 2*u + 0*u + 2*u - u in the form t*u + w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 114*g + 154*g - 279 - 257*g. Determine y(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 17 - 17)*(2 - 1 + 4 + (-4 + 1 + 2)*(-4 + 5 - 3) - 3 + 2 + 0 + (2 - 3 - 1)*(-3 - 2 + 6) + 1 + 2 - 5).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -3.25\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -3)*15*-3. Calculate the highest common divisor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 41738632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/48)\/(-5*10\/525)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13238*b**2*y**3 - 12*b**2 - 2948111*b*y**3 - 3*b wrt b?\nAnswer: -26476*y**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from drdddrrrrndrrrrdnrr.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(1377))*2 - (sqrt(612) - sqrt(612)*-1 - (2 + -3*sqrt(17))).\nAnswer: 4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. Suppose 0 = w*y - 1094 - 761. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(299\/(-2301))*(-2)\/(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742090485 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60*(-105)\/(-18900)*2\/(2\/129)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8147*m**2 - 12944*m**2 - 758*m**2 - 24215*m**2 + 1394*m**2.\nAnswer: -44670*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/((-126)\/(-49)))\/(1\/(-10826)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332030 (base 4) to base 13.\nAnswer: -1a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = -q. What is the units digit of 2*(1 - 10\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(28))\/sqrt(6).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1186 divided by 56\nAnswer: 593\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016515 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(7) + 1 + sqrt(7))*-4)**2 + (sqrt(448) + -5)*6.\nAnswer: 994 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or 37393.43?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose -5*a + 7*l - 80 = s*l, -3*a = -l + 44. Let z = a + 25. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8645 - 8417. Calculate the greatest common factor of 372 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 8*x + 25590. Let q(j) = x*j - 854*j - 850*j - 23 - 853*j. Let y(s) = -6*s**2. Determine q(y(b)).\nAnswer: -12*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 4*p + p - 24 + 0 + 0*p. Calculate m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0)**48*(d**(-2)*d)**21 assuming d is positive.\nAnswer: d**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/50*36\/(-7)*1055\/2321.\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**2 + 3*s**3 - 21*s + 9*s**2 - 15 - 7 - 6*s**3. Let k be w(-1). Solve 0 = -o + 8 - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*q + 369*q + 453*q + 388*q + 1 - 1.\nAnswer: 146*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 3*sqrt(320))**2 - (-5 + -4 + (sqrt(320) + -1)**2)) + 5.\nAnswer: -8959 - 272*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80 and 2.71.\nAnswer: 82.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213001 + 121?\nAnswer: 213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/11, 5, 3201, 2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 4. Let l be a(3). Let o be ((-2)\/l)\/(12\/(-16)). Let g = 1.9 - 2. What is the closest to o in g, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.206153069 to five dps.\nAnswer: 0.20615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*22\/(7*(-16)\/112)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**8\/560 - i**6\/120 + i**3\/2 + 3*i**2. Let n(b) be the first derivative of h(b). Solve n(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-2508)*-38*11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siv. What is prob of sequence ivs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 511, 1152, 2049, 3202, 4611?\nAnswer: 6276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 61 = -3*t + y, -4*y = -5*t + 64. Let q = 77 - 75. Suppose -q*p = 5*p - 329. What is the remainder when p is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51244801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 + a**2 + (-4*a - 3*a + 5*a)*(3*a + 0*a - a) - 8*a**2 + a - a)*(-13*a**3 - 7*a**3 + 178*a - 179*a).\nAnswer: 260*a**5 + 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 711397.2 millilitres?\nAnswer: 711.3972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 871708219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000155210264 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 15) to base 5\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443103 - 3443?\nAnswer: -450550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22381 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 513 - 499. Let d(c) = 2*c**3 + 3*c**2 - 3*c + 1. Let k be d(-2). Solve 2 - t = k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 171 = -5*a + 1068, -a + 4*m + 176 = 0. Suppose 2*u + 8*u = a. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {y: 3, g: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 4:05 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/150*-14)\/((1\/(-10))\/((-1639)\/57365))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 99 = 4*j + 7*k, j - 3*k = 2*k - 36 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 172*c**3 - 180*c**2 - 172*c + 176.\nAnswer: 4*(c - 1)**2*(c + 1)*(c + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 207249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10231 is divided by 277?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwddmwdtdtjdm. Give prob of picking 1 w and 1 j.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (7 - (-3 + 6)). Let r = -0.3 - -0.3. Let o = 0 - r. Is a != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 490773?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 - 22?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -25?\nAnswer: -21\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 4\/3, 898\/11 in increasing order.\nAnswer: -2, 4\/3, 4, 898\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4424 - 16928*w - 16962*w + 33845*w - 4424.\nAnswer: -45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177240743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 424.7435 microseconds?\nAnswer: 424743.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1858196.8907148 and 3.\nAnswer: -1858193.8907148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*k + 3*k. Let w be ((-4)\/k)\/(14\/63). Suppose 23 = 3*l - r, w*r + 16 = 4*l + r. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*u + 113*u = -72 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 7583024.24.\nAnswer: 7583022.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*(-6)\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/16 + 29*c**3\/4 + 2523*c**2\/8 + 24389*c\/4 + 927. Factor v(g).\nAnswer: (g + 29)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*b + 260 = 0, -5*u - 3*b - 25 = -285. Suppose d = -3*d + u. Let x = d - 10. Solve -x = -k - 0*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/210 and (-915992)\/(-59520) + -15 - (-4)\/62.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108744508 divided by 27186127.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2*m**2 - m + 1690000. Let g be i(0). Round g to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4062 and -1\/177.\nAnswer: 239658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 39*m**2 - 496*m - 3. Calculate g(13).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 11*y - 14. Let l be w(12). Let f = 751\/6 - 125. Let j = -29\/18 - -5\/6. What is the biggest value in j, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - (3 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11458 - -21998. Round m to the nearest 100.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6288*v**3 + 7*v**2 + 7*v - 19. Let j(l) = 3144*l**3 + 3*l**2 + 3*l - 8. Determine -2*c(f) + 5*j(f).\nAnswer: 3144*f**3 + f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 1, g: 5, o: 1, s: 3}. What is prob of sequence vos?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6579833.\nAnswer: -1\/6579833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-220)\/(-66))\/((-4)\/(-18) - 0). Differentiate 74*h + 47 - 120 + 19*h - d*h wrt h.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i*i)\/(i*i\/(i\/i**(-2\/29))) assuming i is positive.\nAnswer: i**(234\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Suppose 0 = -5*u + 1 + 14. Let f be (-2)\/(-1)*(-5)\/(-2). Let l(n) = -f*n - n + u*n. What is q(l(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3168 divided by 35\nAnswer: -3168\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*r - 4*r. Suppose b - r*b = 4*k - 52, -2*k = 2*b - 24. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 = -3*b, 4*h = -22*b + 24*b - 2. Solve -b*l + 2*l + 21 = 5*t, 0 = t + 3*l - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 4, 0.29, -5, 1, 2.\nAnswer: -38, -5, 0.29, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 26594387*q**3 - 6055933*q**2?\nAnswer: 120*q**2 - 159566322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*453.\nAnswer: 317.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**2 - 379*a + 1457. What is w(30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7473 is divided by 6555.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3)\/(9\/(-4)). Let r = 3.6 + -3.9. Which is the nearest to 1\/4? (a) r (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 2, 5, -5479, -30 in descending order.\nAnswer: 5, 2, 1, -2, -3, -30, -5479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 2, -4\/21 in ascending order.\nAnswer: -3, -0.3, -4\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/(-4))\/((-1)\/(-16)). What are the prime factors of (-7 - -5 - y) + 1 + 2?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -v + 5*b, 2*v + b + 23 = -298. Let m = v + 198. Calculate the greatest common factor of 296 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170477158.\nAnswer: 2, 19, 149, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1860 + -5584.90944.\nAnswer: -7444.90944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t + 3 + 0 + 4*t**2 + t**2. Let a = -52 - -50. Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4 - 9333*q**3 + 795564*q**2 + 823548*q - 1609776 = 0.\nAnswer: -3194, -2, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:45 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:46 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 407 - 405. Suppose 5 = n - f - 9, 0 = 3*n + q*f - 17. Which is the smallest value? (a) -0.1 (b) n (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d + 12. Let g be b(-11). Let y(a) = a**2 + 11*a - 1. Let o be y(g). Let r = 37 + o. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h + 2*a + 35, -4*h - 4*a + 56 = 0. Let t be 3 + (h - 4\/(-4)). Let m = t - 4. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 4*t**2 + 4*t - 5. Let w be a(-5). Suppose w = 4*j - 1926 - 654. Suppose 0 = -3*s, 0 = -y - 4*y + 3*s + j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-721)\/515*(-2 + 264\/140).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*j - 4*j**2 + 40*j**2 - 37*j**2)*(281*j - 288*j - 230*j) as l + i*j**3 + d*j + t*j**2 and give d.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 16*q + 3*q + 6*q + 2. What is p(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {k: 1, t: 2, c: 2, j: 2, o: 1, e: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:55 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795528452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/12)*u\/(u*u**(-14)*u)*(u*u**(-3))**(2\/21))**(-2\/35) assuming u is positive.\nAnswer: u**(-1153\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300631 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**2 - 7*z**2 + 2*z**2 to c*z**2 + b*z + h and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2865\/16 - -179. Let l = -1827\/10 + 183. Find the common denominator of l and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 47 = -15. What is the common denominator of 3\/10 and (t\/(-230))\/(22\/5335)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/125807 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-14))\/((-20)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1 + (4 + 10 + -19 - 33))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-9)\/27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s - 43*s + 39*s - 320*s - 216*s.\nAnswer: -514*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -334*i - 217. Is d(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = i + n, -4*i - 8 = -n. Let q = -98 - -102. Let o(r) = q*r - 1 - 10*r + 12*r. Determine o(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseqeemzzessesse. What is prob of sequence zmz?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.075 and -733.\nAnswer: -732.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*z + 4, 2*n - 2*z + 22 = -4*z. Let w = -1073 - -746. Let q = w + 1289\/4. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 70*m - 300. Give z(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(288) + -2) + -1*sqrt(288)*2)*5*-2 + -5.\nAnswer: -1200*sqrt(2) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1417 (b) 0.5 (c) -103 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33192.3 + -33175. Put -5, 0.3, -0.3, m, 2 in ascending order.\nAnswer: -5, -0.3, 0.3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1396067908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43064 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 14*w + 23. Let f = -456 + 453. What is i(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/49)\/(52\/1456)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (108\/(-30))\/((-1)\/5) - -2. Let p = 26 - u. What is the remainder when 41 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from kekkkke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 greater than -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(495)\/(sqrt(11) + sqrt(275) + sqrt(11) - sqrt(11)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 1113970*r\/7 + 44555600\/7.\nAnswer: 2*(r - 556945)*(r - 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 783, 1570, 2357, 3144?\n\"Answer: 787*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 331 + -329. Let c(o) = 2*o + 10408*o**2 - 10401*o**w - 2*o. Let h(n) = -6*n**2. Calculate 3*c(t) + 2*h(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (2 - 8))\/6. Let h be 1\/(-44)*(-100)\/15. Let p = 2\/11 + h. Which is the smallest value? (a) 1 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303522551 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + -6 + 2 - (37 + -46 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 184617.738 nanoseconds?\nAnswer: 0.000000002136779375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 448, 312, 176, 40, -96?\n\"Answer: -136*l + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-8)*(-6)\/(-15). Let z(x) = -9 + 9 + u - x - x**3 + 11*x**2. Is z(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 5*s + 0*s)*(1 - 3 + 0) - 4*s + 3*s + 2*s)*(-3*s + s - s) + 44*s**2 + 47*s**2 - 54*s**2.\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*w + 5*p, -1 = -81*p + 82*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 2*g - 2. Let w be m(-1). Let f(k) = 4 + 2*k**2 - 2*k + 3*k - 5*k. Let c be f(w). Solve -d - 24 = -5*d - 5*n, 2*n - c = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16296659*i**4 - 2*i**2 + 11782931*i.\nAnswer: 391119816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/315*9 - 153\/15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9560058 millennia?\nAnswer: 956.0058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a hour in seconds?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2699268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 632813087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/5))**(1\/38)*(t*t**(2\/7)\/t)**(-2\/53)*(((t*t**7\/t)\/t)\/(t**(-6)*t))\/(t*t**(1\/3)\/t*t)**(-21) assuming t is positive.\nAnswer: t**(2749463\/70490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 4164*n = 0.\nAnswer: 0, 2082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -498812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i**5\/7 + 20991696*i**4\/7 - 1147545173238*i**3\/7 + 1721282336538*i**2\/7 - 645477760266*i\/7 + 71719605366\/7 = 0 for i.\nAnswer: 1\/4, 1, 109331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2442554 divided by -6.\nAnswer: 1221277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 5*s**2 - 2*s**2 + 5*s**2 - 2*s**2 in the form c + y*s**2 + v*s and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951551?\nAnswer: 3, 7, 30977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 32050 = -89230. Suppose -y = -14*s - 17646. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in 103, 3, 2\/7, 5, 591\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let k = -1.06 + g. Let z = -0.0600002 - k. Round z to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302411 (base 6) to base 8\nAnswer: -56547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (11 - (-66 - -45)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + -8 + 2 + (-5 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -2*c, 3*f - 5*c + 6 = -7. Suppose -2*u + 6 = 2*v, f*v + 0 = 5*u - 15. Solve 4 = -m - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122807999?\nAnswer: 239, 513841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (1 - 1) - (26 + (2 - 50))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/(-75) + 1136148\/650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ngissgggn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22057 + 22062. Let y(v) be the third derivative of 0*v + 0*v**4 + 0 - 39*v**2 + 0*v**3 + 1\/240*v**6 + 7\/120*v**m. Determine a so that y(a) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**5\/15 - s**4\/3 - s**3\/2 - s**2\/3 + 3*s - 3. Let l(m) be the first derivative of i(m). Let l(r) = 0. Calculate r.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36578297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 40\/3, -2, -0.2, 64.\nAnswer: -2, -0.2, 40\/3, 64, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 25 = -15. Suppose 10*w + 192 = 16*w. Calculate the remainder when 14\/n*((-2)\/1 - 43) is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.045 and 18048.6359?\nAnswer: 18049.6809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - m, 5*t + m + 14 = 0. Let q be (t\/(-6))\/(1\/3). Solve 5*f = -6 + q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(15\/4)\/(y**(-2)*y*y\/(y**(-3)\/y)) assuming y is positive.\nAnswer: y**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 626, 29, 1 in decreasing order.\nAnswer: 626, 29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46ba9 (base 13) to base 3.\nAnswer: -20120112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 637623*u**3 + 617869 wrt u.\nAnswer: 1912869*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -864, -1760, -2688, -3654, -4664, -5724, -6840, -8018?\nAnswer: -9264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12006.7 rounded to the nearest ten?\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2206045)\/260 + 1\/(-4). Let x = 8487 + n. What is the common denominator of ((-546)\/143)\/(-21) + (-63)\/22 and x?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 421 in 0.2, -1.68, -6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y + 2. Let d be h(-5). Let r = d - -167. Suppose 61 = 5*a - 4*m, -6*a + r = -a + 4*m. Calculate the remainder when 25 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 857, 3440, 7743, 13766, 21509?\nAnswer: 30972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 88 = 5*i, -2*t + i + 148 = -2*i. Suppose 0*h + 2*h = t. Suppose -60 = -0*b - 5*b. Calculate the remainder when h is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -610 - -631. What is the remainder when 80 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 35, -42, -3, 0 in ascending order.\nAnswer: -42, -3, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 9*q + 21 = 0. Let b(m) = 9*m**3 - 2*m**2 + 2. Let p(a) = -a**3 + a**2 - 1. Give q*b(h) - 2*p(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a hour?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 + 241. Suppose -3*h = -2*h + x - 34, -3*h + p*x + 102 = 0. Calculate the greatest common factor of 102 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, x: 4}. What is prob of sequence gxgg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1427918507 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -215. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11433567 by 2.\nAnswer: 11433567\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -0.03 (c) 3 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u - 14*u - u**3 - 20*u - 5*u**3 - 9*u**3.\nAnswer: -15*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13717, -27538, -41375, -55228?\n\"Answer: -8*s**2 - 13797*s + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/56*8)\/((-2)\/70*-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 41. Let k = 2 + 2. Let x = z - k. Which is the biggest value? (a) x (b) 5 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320938?\nAnswer: 2, 37, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -719863268\/69 + 10433166. Let i = d + -365. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1\/6*y**5 - 5\/24*y**4 + 0*y + 0 + 0*y**3 + 5\/336*y**8 + 0*y**6 + 1\/21*y**7 - 22*y**2. Factor q(t).\nAnswer: 5*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 98 = -4*x. Solve -3*i - 1 = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-22) - (-18)\/(-99). Suppose q*h = 3*v - 27, 5*v + 0*h + 4*h = 45. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262117350 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*((-15)\/3)\/45*-3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:17 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*k, g + 4*g + 2*k = 34. Suppose 3*a - 5*s = 20, 24 = 4*a - 4*s - g. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 10*k - 1. Let c be i(-5). Let h = -12 - c. Suppose 12*d - 36 = h*d. What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -375 (b) 3\/5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1714, 3426, 5138, 6850, 8562?\nAnswer: 10274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/5))\/(k*k*k**(-2)*k*k)*k**(2\/9)\/(k*k**(8\/3)*k))**(1\/4) assuming k is positive.\nAnswer: k**(-127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -1 - (-4 + 5)*-2. Put 0.1, y, -3\/4 in ascending order.\nAnswer: y, -3\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4 and 125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 n, and 1 z when four letters picked without replacement from zpnddnddpz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/36 - 2*4\/36. Suppose -l - f*k = -2*l + 357, 0 = -2*l - 2*k + 696. Is 16 a factor of ((-2)\/(-2))\/(3\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*u - 4*u. Let r be (-1)\/u + 64\/20. Differentiate -8*y + 8*y + 7 + 7*y**r with respect to y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 3, p: 2, m: 2}. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32935.568 and 0.13.\nAnswer: -4281.62384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -38301.\nAnswer: 38294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 141, 120, 79, 12, -87?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 340*s + 6136 = 0. What is s?\nAnswer: -59, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -11*b**7\/21 + b**6\/15 - b**4\/4 - 265*b**3\/6 - 906*b. What is the third derivative of y(m) wrt m?\nAnswer: -1320*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2120211221?\nAnswer: -2120211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211660 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k - 2*k + t, 0 = -t + 5. Solve 5 = 2*d - 2*u - 1, u = k*d - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -13. Let g(m) = -26*m - 1. Let f be g(x). Suppose -23*q = -18*q - f. Calculate the highest common factor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p**2 + 13*p + 17. Let w(i) = 5*i**2 - 4*i - 6. Let a(u) = 11*w(u) + 4*z(u). Let m be (-3)\/((-60)\/104) + (-32)\/(-40). What is a(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5935631mg?\nAnswer: 0.0005935631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12371550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - 12.2486714642?\nAnswer: 82.7513285358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.241 - -0.11. Let p = -6120240.13099893 + 6120240. Let g = p - t. What is g rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - q = 2*q + 4, -2*q = 2*i. Let p(v) = 6*v**i - 1 + 5*v - 9*v - 2 - 9*v**2. Calculate p(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 3)\/(-9 + 10). Let t = -125 - -872\/7. Let o = -1335\/7 + 191. What is the closest to o in t, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237*v - 121*v - 1253*v.\nAnswer: -2611*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 17*n**2 + 15*n - 12. Let a be v(-16). Suppose q = -5*o + 232, -a*q - 3 + 11 = 0. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 36, -36, -138, -270, -432?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1660829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 2*r, 2*r = 10. Let m be 6\/(-21) + 270\/63. Suppose -4*w + 7 = 5*j, w - 13 = -m*j - j. Solve 0 = -j*f + c + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1352190 and 1893066.\nAnswer: 9465330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 4*v - 4*v - 6*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q. Let z(p) = 10*p - 2. Determine z(v(n)).\nAnswer: -80*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -22*x**2 + 43*x**2 + x**3 + 2*x - 27*x**2 - 3 + x. Calculate q(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 30 - l + 65 + 70.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 29*c = 826. Is c < 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 17*f + 3. Let u be x(-17). Suppose 0 = -5*p - j + 22, u + 4 = -p - 4*j. Let i = 2 - 7. Put 3, p, i in ascending order.\nAnswer: i, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y - 455. Calculate j(-44).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51421, 102800, 154107, 205306, 256361, 307236?\n\"Answer: -6*m**3 + 51421*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 16. Let n be (-5)\/(-3 - q\/2). Solve 4*u = -8, -3*s = 2*s + n*u - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10612 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 43*p - 40*p. Let j = 61 + p. Factor 1\/3*l**4 + j*l - 2\/3*l**5 + 0*l**2 + 1\/3*l**3 + 0.\nAnswer: -l**3*(l - 1)*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(192) + -2)*-6 - (-1*sqrt(192)*3 - sqrt(192)))**2 + 5.\nAnswer: -1152*sqrt(3) + 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5992.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (6 - (-48 - -82))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from llllllsllllsllllll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 2*v. Let m be h(2). Suppose q + 5 = 0, m = 3*g - 0*q + 4*q. Which is bigger: g or 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 4, 5, 2\/9, -140?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1171315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 22103033130101?\nAnswer: 22103033130110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((5\/(-2))\/(50\/10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*m + 11, t = -m + 1 - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 16 + -9 + (-12)\/(-5). Which is the nearest to -1? (a) -2\/7 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 24*s**2 - 2*s - 1. Suppose -2*x + 17 = -7*x - 4*z, 0 = 3*x + 2*z + 9. What is the tens digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/6 of a week?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 122, 133, 148, 167, 190, 217, 248?\n\"Answer: 2*z**2 + 5*z + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456 * 0.057.\nAnswer: -25.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 + 0 + 0)*(9 - 6 + 7)*((2*y - y + 0*y)*(0 + 2 + 0) + 8*y + 0*y + 2*y) to f*y**2 + s*y + o + x*y**4 + v*y**3 and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4, -3*l + 14 = -c + 2*l. Let j be (2\/2)\/(c + 3). Let y(w) be the first derivative of -5*w**4\/4 - w**3\/3 - w**2\/2 - w + 7. Determine y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 15}. Give prob of picking 1 m and 2 y.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (-4*sqrt(95)*-2 + sqrt(95)) - sqrt(95) - sqrt(95))\/(sqrt(15)\/(sqrt(18)\/sqrt(6) + sqrt(3) + sqrt(3))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-6) + 4)*6. Suppose -2*i = -7*i + x. What is the lowest common multiple of i and (5 - -3)\/(-2 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z + 1. Let k(s) = 7*s**4 - s**2 + 8*s - 1. Let p(f) = -a(f) - k(f). Find the second derivative of p(l) wrt l.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.42 * -0.01\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 3. Let m = 3.04 - 0.04. Let n = 2.7 - m. Put n, u, 4\/3 in descending order.\nAnswer: 4\/3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 425, -2.2, 2\/5, -160 in descending order.\nAnswer: 425, 2\/5, -2.2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z - 11. Suppose -1 = h - 2*t, 0*t + 3*t + 16 = 4*h. Suppose 5*x = h*x. Determine i(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2799 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2033 - 323?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a + 2865. Let i(c) = -9*c + 1910. Let v = 20 - 15. Let x(p) = v*d(p) - 7*i(p). Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/4543 and 101\/4.\nAnswer: 18172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -108, -163, -218?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = c, 2 + 0 = -3*c + 4*b. Let l be -1*(c - (-2 - -2)). What is the third derivative of 5*o**2 - 9*o**3 + 2*o**l + 4*o**3 wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12701994 * 0.4\nAnswer: -5080797.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*l + 12 = 0, -21*f + 3*l - 6 = -18*f. Solve f*j - 3*z = -12, 14 = -3*j + 5*z - 4*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z - 228 = 804 - 130 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 11104 = 9764. Solve -v*b + 10 = 77 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/57 - (-225)\/513?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 2*u + 32, 3*r - u = -68. Calculate the common denominator of 194\/r + (-4)\/4 and -109\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozorrmoroozro. Give prob of picking 1 r, 1 m, and 1 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -64, 4, 16, -5.\nAnswer: -64, -5, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1058\/133 + -10\/19. Which is the nearest to z? (a) -3 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3026, 2982, 2944, 2912, 2886, 2866, 2852?\n\"Answer: 3*n**2 - 53*n + 3076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 87.9. Let z = 244 - 1224\/5. Which is the nearest to t? (a) z (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14a0 (base 13) to base 7\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.5 - 81. Which is greater: t or 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4325303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -2*t + 2*f, -t - t + 274 = 2*f. Suppose -t + 6 = -2*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 hundreds digit of 3918778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((1845\/(-4305))\/(15\/(-7)))\/(93\/(-90)*-1)\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 111245*w + 556242. What is a(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83030087 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 58 + 182. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415231 + -231?\nAnswer: 415000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-121)*0*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -34.46. Let p = 0.44 - r. Which is the closest to p? (a) -3 (b) 4\/3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -576*d + 36. Let v be z(1). Let o = v - -543. Put 5, -4, o in ascending order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:17 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436973759 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 2, r: 10, y: 3}. What is prob of picking 2 r and 1 u?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + y**2 - 7*y**3 + 68*y**4 - 119*y**4 + 1 to the form a*y + p + l*y**3 + i*y**2 + q*y**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -64, -60, -56, -52, -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/42*2*21\/2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18995*r**3 - 6767.\nAnswer: 56985*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcg when three letters picked without replacement from {c: 1, y: 3, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -31 - (-1 - 4) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89411645.\nAnswer: 5, 3011, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 - 8*a**2 + 9*a + 8. Let y(m) = -6*m**3 + 2 - 5 + 4 + 8 - 9*m**2 + 10*m. Let c(j) = -5*d(j) + 4*y(j). Calculate c(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97931 is divided by 155.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z + 1 + 0*z - 3*z)*(-5*z**2 + 16*z**2 - 12*z**2) as s*z**2 + n*z**3 + a + q*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4735*i - 203565. Give t(43).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -11. Let p = -27 - g. Let n = -6 - p. What is the least common multiple of 20 and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 702 = -75*x. Let p = -8 - -4. Put x, -2, p, -1 in decreasing order.\nAnswer: -1, -2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*n - 8, -n = -5*n - 241*c + 257*c + 100 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 3. Let h be 1\/(-3) + 15\/m. Let d(p) = 2*p**3 - p**2 - p - 2. Let s(q) = q**2. Let a(l) = d(l) + 4*s(l). Give a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 6705.\nAnswer: 147510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 4*l - 4, 0 = -2*d - 2*l - 8. Let c = 4 + 0. Let g = -8 + c. Sort 1, d, -5, g.\nAnswer: -5, g, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020 - 10?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from ukvnfunfc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v - 15*v + 21*v - 11*v - 4 to c + h*v and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u - 15. Let t be (-141)\/(-21) + 0 - (-2)\/7. Let s be d(t). Suppose s*n = 26 + 10. Let a(l) = -l**2 + 5*l + 4. Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 1. Let b(c) be the first derivative of c**3\/3 + c**2 + 57. Let w(v) = -b(v) + m(v). Give w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 638 and 415\/(-2490) + ((-134)\/(-12) - (0 - 0)).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z - 8*z + z + 3. Let i(n) = -n**3 - n - 1. Suppose 6*j - 4 = 2*j. Calculate j*u(l) + 2*i(l).\nAnswer: -2*l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.28 and -18.\nAnswer: -19.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 2*m**3 - 2*m**3)*(49*m + 239 - 239) + 7*m**2 + 5*m**4 - 3*m**4 - 8*m**2.\nAnswer: -47*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 - d**4\/24 + 5*d**3\/6 + 2*d**2. Let z(y) = -y**3 + 5*y**2 + 8*y - 7. Let a be z(6). Suppose -f = -a*f. Give c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 3 + 1 + 1)*(-3 + 3*f + 3) to i + b*f**2 + c*f and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 4 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/168*7)\/(2*(-3)\/(-252))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1978\/(-23)*100\/(-16)*(-6)\/(-5) and 3?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*42\/21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9\/d)**(11\/2))**(-6\/17) assuming d is positive.\nAnswer: d**(-264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.177 + 12.107. What is r rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 3. Let q(k) = -15*k + 7. Let v(a) = 4*q(a) + 9*y(a). Let s be 1\/(1 - (-8)\/(-9)). What is the remainder when v(s) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 3736805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 + 5. Let x(j) = 2*j**2 + 2. Let o(a) = -3*r(a) + 8*x(a). What is the lowest common multiple of 1 and o(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - (-19 + -2)) - (8 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 25. Suppose 8*n = 322 + 110. Calculate the remainder when n is divided by 357\/33 - 2\/y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2 + (-2 - -6) - (-36 + 35 + -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, o: 2, v: 2, a: 5, b: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43, -4, -9\/55?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148078\/65 - -11466\/5. Which is smaller: 14 or x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432\/(-20)*-1801 - (-28)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12\/(-10))*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000750271 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.4, -41\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -258, -231, -2, 495, 1326, 2557?\nAnswer: 4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13008 divided by 4\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12494 + -8882. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527*h + 2529*h - 25 = 5*i, 3*h + 22*i = -110 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134b + -635?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfw when three letters picked without replacement from wfnffzgggwf?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67025088293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21\/95 - 2\/95. Let x = 16 - 33\/2. Sort x, u, -1 in ascending order.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 1 (c) 2 (d) -0.36 (e) 1\/3 (f) -2.63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14922*m**3 + 21228*m wrt m.\nAnswer: -89532*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = -3*r + 13, -2 = 2*r. Calculate the smallest common multiple of p and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*t - 542132 = 615*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1362 + 715 - 356*o**2 - 128*o**2 + 647.\nAnswer: -484*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -759662218\nAnswer: 759662218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-3 + 1)\/(-2). Sort -18, n, -4 in descending order.\nAnswer: n, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/9)\/((-4)\/(-984)). Suppose 2*s + 48 + 58 = 5*f, 0 = 2*s + 2*f + 78. Let m = s + v. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 21. Let n be h(-18). Let u(j) = -2*j**3 - j**2 + 1. What is the remainder when u(n) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.03. Let q = -0.99 + b. What is the second smallest value in 0.3, 0.07, q?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/1470 - g**6\/315 - 15*g**3\/2 - 14*g - 1. Let d(s) be the second derivative of j(s). Factor d(p).\nAnswer: -4*p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6) + -1)*8. Let f(v) = -v**3 + 2*v + 1. Let z(a) = -a**3 + 3*a + 2. Calculate j*f(x) + 3*z(x).\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -3.93. Let s = j + 1. Is -1\/4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:58 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Suppose 0 = 4*c + 3 - 7. Let x(j) = 13 - 4 + c + 12*j - 7. Give x(d(f)).\nAnswer: 12*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**2*d**2 + 202*b**2*d*w + b**2*d - 14*b**2 - 60890*b*d**2*w + 14*b - 110*d**2 wrt w?\nAnswer: 202*b**2*d - 60890*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16. Suppose -f = d*r - 2, 0 = -4*f + 6*f - 4*r - 44. Solve 0*w - 5*x + 12 = -3*w, -w + 5*x - f = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 7. Let s = 6415 - 6408. Calculate c(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856447 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 -5*k**2\/3 - 56920*k\/3 - 161994320\/3 = 0. What is k?\nAnswer: -5692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3803, -5715, -7627, -9539?\nAnswer: -11451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**2 - 9*v - 15. Let o be j(-2). Let a be (-254)\/(-4) + 2\/4. Let d = o - a. Is d at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-22)\/(-55) + 34. Solve 0 = 2*t + 48 - k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 greater than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -141893887, -141893888, -141893891, -141893896, -141893903, -141893912, -141893923?\n\"Answer: -h**2 + 2*h - 141893888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 2*g. What is the least common multiple of 22 and v(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 - r - 1. Calculate g(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -19 - 23) + 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 921 + -4603\/5. Factor h*d**2 - 2\/5*d + 24\/5*d**3 + 0.\nAnswer: 2*d*(3*d + 1)*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 - 2645592*w**2\/7 + 437447314404*w\/7.\nAnswer: 4*w*(w - 330699)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 13 + 200 = 11 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0 - 1 + 1 - 11*n. Suppose 5*b - 9*b - 8 = 0. Give r(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 273*g**4 + 33*g**3 + 81. Let c(v) = 17*v**4 + 2*v**3 + 5. Let m(r) = 33*c(r) - 2*f(r). Find the first derivative of m(p) wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 11. Let z be y(-8). Suppose 524 - 53 = 4*p - z*o, 0 = p - o - 119. Let h = p + -69. Calculate the highest common divisor of h and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 720, 4065, 9640, 17445, 27480, 39745?\nAnswer: 54240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2034 and 57856.\nAnswer: 520704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u + 8. Let j be r(-1). Find the first derivative of 19 + 93*s + 8*s**j - 93*s - 3 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 3, a: 2, m: 9, w: 2}. What is prob of picking 1 x, 1 m, and 2 a?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21727769, 43455539, 65183309, 86911079, 108638849?\n\"Answer: 21727770*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*-4*1\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 + 373*m**4 - 77313*m**3 - 3343*m**2 + 9*m - 285 wrt m?\nAnswer: 60*m**2 + 8952*m - 463878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5473\/8 + 685. Let m = -14 - -28. Calculate the common denominator of ((-53)\/m - 1) + 1 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 20 = 110*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1487\/6 - -248. Factor p*h**2 + 2\/3 - 1\/6*h**4 + 4\/3*h - 5\/6*h**3 + 1\/6*h**5.\nAnswer: (h - 2)**2*(h + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1239075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11086 = -17147. Suppose -i = -17*r + 14*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 20*s**2 + 5 + 45 - 103.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 - 16150768*c**2 + 17562053*c wrt c.\nAnswer: 24*c - 32301536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.5783 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 7. Let h(i) = 4*i + 3. Let r(b) = 7*h(b) - 3*q(b). Let c(z) = -2*z + 3*z**2 - 78 + 78. Calculate -c(s) - 3*r(s).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/(-36))\/((-33)\/(-66))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28\/61 - 379\/427. What is the closest to 0 in -1\/33, 2\/3, b, 3?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1916842 + 1916806.584424. Let a = b + 235.415687. Let k = -200 + a. Round k to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*t = -14, 0 = -2*k - 0*k + 3*t. Let h(y) = y**2 + 4*y - 4. What is the units digit of h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*a - 4 + 30, -5*t - 43 = -2*a. Is 25 a factor of (-4)\/6 + 5856\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52194558 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 at least as big as 7\/493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 771*r**2 + r + 5. List the prime factors of o(2).\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w**(-4\/7)))\/(w\/(w*w**(-4))))**(15\/4) assuming w is positive.\nAnswer: w**(-465\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -8\/7*q**7 + 0*q**2 - 13*q**3 + 0*q**5 + 0*q**6 + 0*q + 0*q**4 + 40. Find the third derivative of m(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - 0\/(-4) - 1. Suppose -3*q - 2*q - 15 = -2*s, -s - i = 5*q. Let j be ((-8)\/(-6))\/1 - s. What is the closest to 1 in j, -1\/5, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 22 + 3. Let g be ((-36)\/(-4) - q)\/(1 - -1). Suppose o = 4*b - 32 + g, -25 = -3*b + 2*o. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6)*(-24)\/(-9) + -4. Suppose -12*r + 9*r + 4083 = j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Suppose -11*o = -h*o - 175. Let u = o + -22. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1209600.\nAnswer: 1\/1209600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8760 and 702.\nAnswer: 1024920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119\/6 + 20. Let z(v) be the third derivative of 1\/60*v**5 + 0*v + b*v**4 + 0 + 5*v**2 - 7\/6*v**3. Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130 - 25*p + 27*p - 247 + 4*p - 6*p + 4*p + 0*p - 2*p + 3*p + (3 - 6 + 2)*(-1 + 1 - p) in the form w*p + g and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12912285 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9001242.19 rounded to the nearest 10000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -544010624655.2 - 3?\nAnswer: -544010624658.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 11. Let z(v) = -v**2 - 11*v - 13. Let u be z(w). Suppose 2*n - 691 - 149 = -4*i, -3*n + 1049 = u*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*(i\/(i*i**(-1\/50)\/i))\/i*i*i)\/i)*i*i*i)**(-8))**(1\/39) assuming i is positive.\nAnswer: i**(-132\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 25 = 5*y. What is the second derivative of 6*x - 4*x**y - 9*x + 0*x**5 wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5 and 80\/156519.\nAnswer: 782595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 not equal to 331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*v = -122, 11*u - 4*v = 12*u - 97. Solve m = u - 70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 12) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from fuawfnnhafahfnu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 <= 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36349 - -36668.06. What is i rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 12 = -n + u, -5*u = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrcccrcvv. What is prob of sequence vc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(132))\/sqrt(11).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 84. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26424364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/4))**47*(j**(-26\/7))**(-38) assuming j is positive.\nAnswer: j**(2307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7400 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10450? (a) 4\/3 (b) 2\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n - 12. Suppose j + 3*j - 16 = 0. Suppose 4 - 1 = p. Sort p, j, n.\nAnswer: p, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 8, -1, -44\/7, 4?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n. Suppose n = 4*h - h - 15. What is the smallest common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794677704.\nAnswer: 2, 3, 33111571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -396*p**2 - 19 - 9 - 17 + 45 as d + y*p**2 + o*p and give y.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*g - 255 = 0, -4*g + 15 + 181 = 4*p. Let v = 52 - p. Suppose 1\/2 - 1\/4*k**v + 1\/4*k = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + -2050?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-10))\/(33\/110). Let c be (i\/(-4))\/((-9)\/12). Sort c, 4, -4 in decreasing order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 20235?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/30 + 5*f**4\/6 - 4*f**3\/3 + 3*f**2. Let z be g(-14). Calculate the common denominator of (z\/105)\/(6\/7) and -133\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-12))\/3*(-66)\/(-77).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3 + 3)*(g**4 - g**3 + g**3) + 0*g**5 + 2*g**5 - 3*g**5 + (-g**3 - 4*g**3 + 4*g**3)*(-g**2 + g**2 - 6*g**2).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.1 + -94. Which is the smallest value? (a) -21 (b) 1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 2531*w - 10169. Calculate h(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193.33 - 195. Let l = -1.8 - r. What is the second smallest value in -5, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 9*z**2 + 752*z - 16*z**2.\nAnswer: -9*z**2 + 752*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 11*n - 16. Let a be 182\/((2 - -1)\/(-3)). Let q = 335 + a. What is the greatest common divisor of q and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (63\/(-90) - -1) + (2 - 69\/30). Let h(i) be the third derivative of 0 + 1\/44*i**4 + 0*i**3 + m*i - 1\/660*i**6 - 11*i**2 + 1\/165*i**5. Factor h(c).\nAnswer: -2*c*(c - 3)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/12 - c**3\/6 - 14*c**2. Does 7 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/74? (a) 0.2 (b) 2\/99 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 493 and -5?\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*v = 60, -v - 278 = -5*g + v. Let l = g - 8. Calculate the remainder when 191 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/6))\/((o\/((o*o\/(o*o\/(o**(-1)\/o*o)))\/o))\/o))\/((o*o**(-5))\/(o**0*o)))**(-1\/8) assuming o is positive.\nAnswer: o**(-25\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-22))\/(84\/154). Which is the biggest value? (a) 431 (b) p (c) 2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5833600 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -405 (base 6) to base 13\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 223, 222, 237, 274, 339, 438, 577?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 is divided by 156.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 7 - 4 - 1 - 3*f to the form j*f + r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2070 - -1837.59. Let p = -230 - j. Let q = -4.34 + p. What is q rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 218, 1094, 3430, 7958, 15410?\n\"Answer: 122*t**3 - 2*t**2 + 28*t + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 16*y**2 - 21*y - 56. Let w be s(-5). Solve -4*p = 2*h - 20, 5*p - 14*h = -16*h + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45631, 45552, 45475, 45400, 45327?\nAnswer: 45256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 7 + 14 = 3*d, -3*d - 1 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y + 12*y - y. Let f(k) = k. What is f(j(v))?\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5 + 1480*a**4 - 55*a**3 - 16190*a**2 + 26600*a - 11840 = 0.\nAnswer: -296, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 + 4 + -63 + 13 + 11\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 20*y**2 - 70*y - 1. Let j be d(-23). Solve 66 = 11*u + j*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/(k**11*k))\/k*k*k**(-3) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1367\nAnswer: 546.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n + 14. Let c be a(3). Let d = 0.05 + 1.95. What is the nearest to c in d, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(((sqrt(40)\/sqrt(2))**2 - -2*sqrt(125)) + (sqrt(45)\/((sqrt(72) - (sqrt(72) - sqrt(72)*2))\/sqrt(8)))**2).\nAnswer: -20*sqrt(5) - 85\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -95*t**2 - 36. Let u(q) = 4180*q**2 + 1596. Let w(m) = 133*s(m) + 3*u(m). Let i(v) = v + 44. Determine w(i(k)).\nAnswer: -95*k**2 - 8360*k - 183920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 414 + -393. Suppose -31*y = -i*y - 30. Solve -8*r + y*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -50 (c) -1642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433 (base 5) in base 4?\nAnswer: 13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454554, -909111, -1363668, -1818225, -2272782, -2727339?\nAnswer: -3181896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74703*k**2 - 7*k + 59 wrt k?\nAnswer: 149406","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let c be (-698)\/(-78) - (-201 + 210). What is the third smallest value in -23, 0.5, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(68) - sqrt(68)))\/(sqrt(64)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 greater than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 268776 - 268776 - z**3 + 121*z**2.\nAnswer: -z**3 + 121*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40922848319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/6 - 2\/(-4). Let h(q) = q**3 + 28*q**2 + 27*q - 5. Let v be h(-27). Which is the third biggest value? (a) v (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 + 42*a**2 + 3*a - 105. Let k be x(-13). Put 4, k, -3, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/165)\/((15340\/120)\/(-59)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + 0 + (0 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4440992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -868*i*k**3 - 30*k**3 - 22*k**2 with respect to i.\nAnswer: -868*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10332577.69999984 - 10332577. Let p = 0.7 - g. What is p rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -aeea?\nAnswer: -aee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 33 = 7*o, -21*f = -19*f + o - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1167868.9, 2, -0.4 in ascending order.\nAnswer: -0.4, 2, 1167868.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*u + 9, -5*l - 13 = -4*u - 4*l. Let x = u - -2. Let q be (1 - 6\/x)*-4. Solve 2*s + q*n + 6 = 0, -15 = -4*s - 0*n + 5*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 1. Let z = 2 + 0. Let p(k) = -1 + 4 - 2 - k**2 + 2*k**z. Give p(q) - x(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12 + (1 - (-4)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*a + 1)*(0*a - a + 2*a) + 5*a**2 - a**2 + 0*a**2 + a**2 - 5*a**2 + 3*a**2 as f + y*a**2 + r*a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5883 (b) 0.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - -5ccb?\nAnswer: 5ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b (base 14) to base 7.\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 37*n**2 - 251*n. Suppose 0*v + 9*v - 252 = 0. Calculate the remainder when v is divided by i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18440 is divided by 3072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.653482768 rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/12 - 3*a**2 + 27*a - 72.\nAnswer: (a - 24)*(a - 6)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161*l = -2146*l - 3155205. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1971924 + 5?\nAnswer: 1971929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141.52 - 118.1. Let j = -23 + d. Round j to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/3)\/o*o)*o*o\/(o*o*o\/(o\/o**(12\/11))))\/(((o*o*o**(-8))\/o*o)\/o)**(37\/5) assuming o is positive.\nAnswer: o**(8477\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 56034 = -0*x. Let t = -1320383195\/18 + 73335951. Let a = x - t. What is the common denominator of a and -19\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**2 - 9*q**2 + 9*q**4 + 24*q**4 + 0*q**4 + 8*q**4 - 1656*q wrt q?\nAnswer: 492*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 6. Let r = 3 + t. Let u = -1.17 - r. What is u rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/((-297)\/(-2772))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000110001000100001 + 11?\nAnswer: -110001000110001000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20874*o - 21038*o + 95 - 1899 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/20*80\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by (-8 + 1)\/(2\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-85)\/(-5)*-2 - (-6 + 10). Let h = 31 + n. Let p(m) = -m**3 - 7*m**2 - 6. Calculate p(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -43 - 6. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (-5*-3*sqrt(30) - sqrt(30)))\/sqrt(6) + -1 + (sqrt(120)\/sqrt(6) + sqrt(5) + (sqrt(10) + sqrt(640))\/sqrt(2))**2.\nAnswer: 15*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23142 and 103341.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14540741.\nAnswer: 37, 163, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44616031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, 1 r, and 1 o when four letters picked without replacement from {n: 1, e: 2, r: 1, b: 8, o: 2, m: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -32 (b) 3 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 2. Let g be m(-9). Let y be 1 - g\/(11\/8). Solve -y*i = -7*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32625.8 tonnes?\nAnswer: 32625800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/20, 0.06, -7, -2, -10?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22*r + 9. Let l(w) = 19*w + 5. Let c(n) = 2*j(n) - 3*l(n). Let s(u) = -220*u + 50. Give -100*c(b) + 6*s(b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = q + 22, -2*q + 2*b = -7*q - 102. Let d be (q\/(-2))\/((-4)\/2). Put 5, -4, d in decreasing order.\nAnswer: 5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 24*l + 23. Let k be 48\/(-56)*(-280)\/15. List the prime factors of r(k).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x - 4*f - 4, -25 = 56*x - 41*x - 5*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1050\/28*822\/(-685)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/8*40\/150.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 4)*(-54 + 16 + 12)*(2*t - 4*t + t).\nAnswer: -208*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -2*c. Suppose -12 = 2*h - c*h. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 185 = -137. Let s(b) = 5*b - 11. Let i(l) = l - 1. Let a(p) = -3*i(p) + s(p). What is the remainder when 7 is divided by a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34841 - -25?\nAnswer: 34866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.95 - 0.05. Suppose g + 682 + 1183 = 2*o, 4*o - 3733 = 3*g. Let y be 3*(3\/8 - o\/2184). Sort t, 5, 0.4, y in descending order.\nAnswer: 5, 0.4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(1029)*1 + sqrt(1029))\/((sqrt(72)\/sqrt(3))\/sqrt(8))).\nAnswer: 8 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 33. Let c be (-1)\/(-2) + (-1)\/2. Suppose c = r - 4*r + x. Solve -3*j + 7 = -j + v, -3*j + r = v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158046159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/22 - (-395)\/55) + 8633\/(-13884)*12.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/12 + 11*d**3\/6 - 21*d**2. Let o be 178\/(-11) + (-4)\/(-22). Does 19 divide n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 8*w. Let c = 28 - 54. Let h = c + 18. Let q(l) = 2*l**2 + 5*l. What is h*q(u) + 5*y(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let z(j) = -56*j**2 - 10*j - 10. Determine 10*f(y) - z(y).\nAnswer: 56*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33142 - -33817. Is b less than 676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r - 1513 + 2*r**3 + 0*r**3 + 1514 - 9*r**2 - 3*r as t*r**2 + q*r + f + v*r**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 - 280 + y**2 - 34.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18156 divided by 12.\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 65534 divided by 7\nAnswer: 9362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 971, 1946, 2921, 3896?\n\"Answer: 975*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86296518?\nAnswer: 2, 3, 7, 11, 19, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/406884 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*f + 742 = 87*f. Suppose -59*o + f = -45*o. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/51982 and -61\/208.\nAnswer: 5406128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396754746 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 + 2*z**3 - 3*z**2\/2.\nAnswer: -z**2*(z - 3)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 38. Let k be x(8). Let u be ((-3)\/2)\/(65\/k - -1). Calculate the highest common divisor of u and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r - 10. Let q(j) = -3*j + 3. Let m(y) = y - 1. Let p(k) = -4*m(k) - q(k). What is 10*p(z) + t(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 - 6. Is 14 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b3 - 34?\nAnswer: 77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 1 + 3332\/(-663). Which is the closest to x? (a) -2 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*2043\nAnswer: 51075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 12*u - 30. Let h be t(23). Let y = h - -218. List the prime factors of y.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.793797 millilitres to litres.\nAnswer: 0.002793797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243962881 + -1819.\nAnswer: -243964700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27003332303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163582 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 - 522*n**2 - 24504*n - 336960 = 0.\nAnswer: -108, -40, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 122, 138, 140, 140, 150, 182, 248?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -194559 - -34828.17\nAnswer: -159730.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0. Let d = -139 - -139.25. Let l = q + d. Round l to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579b6 (base 13) in base 11?\nAnswer: aa112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58551 or -86\/17?\nAnswer: -86\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 357. Let l = -104 + h. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -230*d + 224*d + 12. Let j(w) = -196*w**d + 201*w**2 + 0*w**3 - 6*w - 1 + 0 + w**3. Calculate j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1959*q - 3807*q + 1838*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284171 to the power of 1\/2, to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6))**(-3\/7)*(v*v*v\/(v*v**(2\/3)))**(3\/8) assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60821.\nAnswer: 60821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 2*u - 6*u + 0*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/35)\/i)**(-2\/9)*i**(2\/81)*i*i*i*i**25*i assuming i is positive.\nAnswer: i**(82879\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 - 82*p**2 - 8*p**2.\nAnswer: -101*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 - 424*z**2 + 436*z + 856 = 0.\nAnswer: -107, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8170 and 430.\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s*s**(-33)*s*s*s*s)*s)*s*s**29 assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201110120201110 - -121?\nAnswer: -201110120200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(13\/(-52)). Solve -p - p = -v + w, 2*p + 3*v - 14 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z\/z**(-3\/4))**(-1\/4)\/((z**(-1\/4))**38\/(z*z**(-1)*z)**(-47)) assuming z is positive.\nAnswer: z**(-579\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.128, -6, 42\/5 in descending order.\nAnswer: 42\/5, -0.128, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*i + 3030*i**2 - 153*i + 8*i to the form g + w*i + o*i**2 and give o.\nAnswer: 3030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9573.228kg?\nAnswer: 9573228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 8686.\nAnswer: 78174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -34*m. Let d(b) = b + 8. Let a be d(-9). Let x be k(a). Let g = -19 + x. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6115*g**2 - 12641*g**2 - 32617*g**2 - 1 + 1.\nAnswer: -39143*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4600082 rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3393.6 + 0.8.\nAnswer: -3392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = 4. Which is the nearest to 0.2? (a) 2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166 (base 7) in base 6?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 2, -756, -9 in decreasing order.\nAnswer: 4, 2, -3, -9, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -104. Let k = v - -1. Solve -5*s - k + 11 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-497)\/84 - -6)*4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in -26, -2\/15, 89?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -7920 in decreasing order.\nAnswer: 5, 1, -7920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -2\/71, 184, 4?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -93*i**4 + 287*i**2 + 7*i - 7. Let p(r) = -91*r**4 + 286*r**2 + 6*r - 6. Let j(q) = -6*o(q) + 7*p(q). What is the third derivative of j(g) wrt g?\nAnswer: -1896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001110100000 - -1?\nAnswer: 11010001110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-23)*o*o))\/((o*o\/(o*o*o**(-2)))\/o) assuming o is positive.\nAnswer: o**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5905 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 22, 26, 28, 28, 26?\n\"Answer: -t**2 + 9*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*k - 7260 = 85*k - 5108 + 17024 for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004952859 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27814193?\nAnswer: 11, 17, 59, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 363936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/172554 and 9\/718975.\nAnswer: 4313850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -180 and 0.063.\nAnswer: -11.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 0*r**2 + 2*r**2)*(0*r**2 + 2*r**2 - 4*r**2) + (-3*r**2 + 2*r**2 + 2*r**2)*(-2*r**2 - 1 + 1) + 0 + r**4 + 0.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 50 + 9*x**2 + 116 - 65 to q*x**2 + v*x + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {l: 1, a: 3, d: 5, n: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78.971 + 79. Round i to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6) + 371\/63 + (-8)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*b - 38, -s + 5*b = -144 + 154. Solve -34 - 16 = -s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 4)**2 - (5 + sqrt(119)\/sqrt(7)).\nAnswer: 95*sqrt(17) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6213 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443149054 by 103.\nAnswer: -4302418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156279*a**2 - 79937*a**2 - 76333*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -25 - (-101)\/4 - (27765\/(-12) + 2). Calculate the highest common factor of d and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2 + 13*p - 5. Let o(k) = -10*k**2 + 19*k - 7. Let u(y) = 59*y - 890. Let w be u(15). Calculate w*o(v) + 7*x(v).\nAnswer: v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2648*o + 2649*o - 8, -4*o = 3*i + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + d - 25. Suppose -3*y = -3*m + 3, 5*m + 1 = 2*m - y. Let u be w(m). Let j = u + 28. Solve -4 = -q + j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13607000 to the nearest 100000.\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + l - 27 = -128, 0 = -z - l + 25. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284480 - 111842. Suppose -5*w - u + 172626 = -w, f = 4*w - 5*u. Suppose -w = 4*a + 9243. What is a rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-4 + sqrt(76) - sqrt(76))\/sqrt(4) - sqrt(95)\/sqrt(45))**2.\nAnswer: 3211\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/9 + 88*w**4\/9 - 1102*w**3\/9 + 176*w**2\/9 + 6856*w - 22176 = 0. Calculate w.\nAnswer: -7, 4, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66156?\nAnswer: 2, 3, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 2, a: 2, g: 7, b: 1, w: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3994*x - 32739 = 186931 for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3556 = 195*x - 191*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**4 - 1149*d**3 + 3013*d**2 - 1627*d + 250.\nAnswer: (d - 125)*(d - 2)*(3*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8*(-1)\/(-6). Let d = -2.26 + 1.26. Is z smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by 28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.92359 millilitres to litres.\nAnswer: 0.04892359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160839265?\nAnswer: 5, 2417, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*l - 49*l + v = -11, 2*l = 4*v + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13484 = -363*q + 21470 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - 335\/(-2). Suppose -4*r - 248 = 4*i, 5*r + 124 + z = 4*i. Let q = r - -86. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzufhibfiibbfbh. Give prob of sequence bbfb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p - 4*p + 14*p. Let s(f) be the first derivative of -6 + 3\/4*f + f**4 - 13\/8*f**p + 0*f**3. Determine n, given that s(n) = 0.\nAnswer: -1, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r - 12936 + 12936. Let b(i) = 502*i. What is b(a(s))?\nAnswer: 3012*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5. Let k be 2*3\/27*-2. Is k <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*x - 13, -2*t - 1 = -5*x + 9. Suppose 4*n - i = -t*i + 400, -5*n = -2*i - 465. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 10. Let y be 204\/9 - (-2)\/6. Let b = y + p. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -293, -429, -549, -647, -717?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + -5 + sqrt(3)*-1)**2*5.\nAnswer: -50*sqrt(3) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = 3*a, -3 = -2*a + l + 9. Suppose 4*h - 13 = q, 0*q - 25 = a*q. Solve 4*c = 4*d - 28, -2*d + 24 = -4*c + h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4 and 145\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107285 is divided by 3831.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -29. Let j be (-21)\/(2 - u\/(-4)). Let b be (-4 + (-228)\/(-56))\/((-12)\/j). What is the second smallest value in b, -2\/9, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*m**2 - 62*m + 62*m)*((3 + 1 - 6)*(-2 + 1 - 1) + (5 + 1 - 3)*(1 - 1 + 1 + (0 + 0 - 1)*(2 - 3 + 0) + 1 - 2 + 5 - 1 + 0 + 4))*(-10 + 4*m + 10).\nAnswer: -6200*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 5. Let k(f) = f - 7. Let g be k(12). Suppose 5*j = -2*c - 11, 6 = -5*j - g*c + 1. Let h(i) = 3*i - 14. Give j*h(r) - 8*n(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p - 1. Let f(g) = -1. Let c(q) = 4*f(q) - 2*l(q). Let w(n) = -n. Let s be w(3). Is c(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 1006*k - 3000.\nAnswer: -2*(k - 500)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*m + 4 = 7, 3*t + 4*m = 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-36)*(-3)\/(-21))\/(1\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049013453 to 6 decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 16*j**3 + 2*j**2 - 3*j + 196. Let a(b) = -64*b**3 - 9*b**2 + 11*b - 785. Let w(f) = 2*a(f) + 9*d(f). Differentiate w(i) wrt i.\nAnswer: 48*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/7, 0.08, -0.07, -8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 2 + b - 2 + 2*b**2 - 3*b**2 - 2*b**2 + (2*b + 0 + 0)*(-4 - b + 4) - 5*b**2 + 0*b**2 + 3*b**2.\nAnswer: -5*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1827 by -5.\nAnswer: -1827\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 + -0.06. Let x = -0.233 + 0.033. What is the biggest value in x, -2\/21, u?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/7 and 44\/286 + 1706\/234.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -227*c**3 - 170*c**2 + 9*c + 24. Does 12 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(90))**2 + sqrt(16)\/sqrt(512) - (1*sqrt(1458))\/(sqrt(9)*2*-6).\nAnswer: 2\/9 + 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 647783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**37*f)\/(((f**(18\/11)*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.93432? (a) -1\/10 (b) 0.3 (c) 0 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -32.9 in decreasing order.\nAnswer: 2, -11, -32.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -13106?\nAnswer: -13106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13296118?\nAnswer: 2, 11, 604369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000636727 rounded to 6 decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 - s**4\/2 - 7*s**3\/6 + s**2 - s. Let m be b(-5). Calculate the highest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 6*v**2 - 14*v - 10. Determine o(-9).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 2*o. Suppose -2*k + 2*l - 7*l + 85 = 0, -2*l = 3*k - 111. Suppose 4*b = -3*z - k, 0*b + 5*z = -b - 13. What is j(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 0, -78?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31503 + 3541?\nAnswer: -24632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/1591661 - 316742189\/2626240650. What is the common denominator of 163\/900 and a?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/20 - 3*b**2\/2 - 5. Let s(d) be the second derivative of w(d). Let p(o) = 2 - 2 + o**2. Determine p(s(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 3*b**4 + 2*b**3\/3 + b**2 + 897. Let x(d) = -3*d**3 - 22*d**3 - 5*d**2 + 29*d - 34*d. Determine -5*h(i) - 2*x(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 bigger than -313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -12. Let s(p) = 2*p**2 - 3*p + 3. Let o be s(2). Let t = 0.3 - -0.7. Which is the nearest to 1\/2? (a) t (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2901348*x + 2901427*x = -8690 for x.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19001?\nAnswer: 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -9411?\nAnswer: -9407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*m - 37*m - 27*m**4)*(-2*m + m + 4*m) + (-2*m + 2*m - 2*m)*(6*m**4 + 3*m**4 + 4*m**4).\nAnswer: -107*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6495 or 1?\nAnswer: 2\/6495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*3500\/(-175)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6)*-2)\/(94\/(-564))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 13) in base 15?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4679 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91789179?\nAnswer: 3, 397, 77069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*q**2*y**3 - 1584*q**2*y**2 - 2*q**2*y + 2*y**6 - 34*y**5 wrt y?\nAnswer: 78*q**2 + 240*y**3 - 2040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*d)*(-15*d + 10 - 10 + (3 + d - 3)*(-2 + 2 - 1) + 3*d - 1 + 1) to the form t*d**2 + n + g*d and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12529 (b) -1\/3 (c) 0.4 (d) 2 (e) 0.1244 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.637523 - 177.363062. Let h = a - -228. Round h to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(3\/24). Suppose -f*t = -u + 52, -10*t + 6*t + 80 = 2*u. What is the derivative of 3*c**2 + 149*c - u*c**2 - 149*c + 31 wrt c?\nAnswer: -82*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23ab463 (base 13) to base 2\nAnswer: 101010010000100110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13671 + 13671.01. What is the nearest to s in 2\/3, -38, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 1, -5, -2 in increasing order.\nAnswer: -88, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 364 in 2\/9, -12, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 20*b**2 - 9*b**2 + 4*b - 4*b. Let p(k) = 4*k - 3. Let q(c) = -7*c + 5. Let v(z) = 10*p(z) + 6*q(z). Calculate v(y(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 3)*((-42)\/(-8))\/3. Is -4 - ((-932)\/b + (-13)\/(-91)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2078 - -3109. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7166349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 3*x - 5. Let d(n) = n**2 + 5*n + 7. Let a be d(-4). Let s(o) = -2*o + 4. Give a*s(z) + 2*i(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779 - 283 = -74*m - 466 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18591.97, 2, 0?\nAnswer: 18591.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 36*a**3 + 756*a**2 - 2592*a.\nAnswer: -3*a*(a - 6)**2*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:58 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -15. What is the third derivative of -3*o**6 - 6*o**2 + 3*o**4 - f*o**4 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:30 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4678692170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38700, 309410, 1044150, 2474934, 4833776?\n\"Answer: 38669*c**3 + c**2 + 24*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 + 5*s**2\/2 + s - 68291. Let n be -5*(2 + (-12)\/10). Determine i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -23*x**8\/28 + x**7\/105 - 7*x**5\/60 - 16*x**3\/3 - x**2 + 5. Find the third derivative of r(f) wrt f.\nAnswer: -16560*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -196. What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -664, -2578, -5766, -10228, -15964?\n\"Answer: -637*a**2 - 3*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -aaa (base 14) to base 11\nAnswer: -1649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**8\/448 - 3*c**6\/160 - c**5\/40 + 4*c**2 - 5*c. Let s(z) be the first derivative of a(z). Factor s(o).\nAnswer: 3*o**2*(o - 2)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0 + 5*c + 3 - 4*c - 9. What is k(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058751.\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 144 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 2 - (16 - -341). Let b = q + 462. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*l - 646 = 0, 432 = 2*v - 0*l - 2*l. Suppose -2*x - 59 = -v. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 + 1085*z**4 - 3 + 3 + 2*z**3 - 1089*z**4.\nAnswer: 2*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/35*7 + 4)*11. Suppose -28 = -4*h + 3*q + 29, 4*h = -4*q + 64. What is the derivative of 6*w - a - 25*w + h wrt w?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + 3 + 7 + -24 + -61 + -8.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -61. Let k be q\/3 - 2\/3. Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 108. Sort -4, 2, -0.4, r in increasing order.\nAnswer: -4, -0.4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*d = 1699 + 221 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 107*b - 30*b - 28*b - 29*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1004, 8139, 27506, 65219, 127392?\n\"Answer: 1019*m**3 + 2*m**2 - 4*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (-4 - -7)) + 8327. Round r to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2163 and 81473.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-12) + 2\/(-6). Suppose q = 5, -2*a - q = -4*a + l. Suppose c = 4*b - a - 61, -3*b + c + 50 = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7670 from -46.79867061.\nAnswer: -7716.79867061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 2*b + 250 = 0. Suppose 0 = 8*c + 9 - b. What is the remainder when (-13)\/(-26) - (c + (-87)\/2) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -76*l**3 - 16*l**2 + 40*l - 30. Determine b(2).\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -39 (c) -13 (d) 2\/7 (e) 0.3 (f) -11\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1133 - 1133 - 7*x in the form r + s*x and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2030157 + -476?\nAnswer: 2027461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukk. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1299.95 times -14?\nAnswer: 18199.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, s: 1, q: 5}. Give prob of sequence sq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.1. Suppose -6*v - 114 = -132. Let i = -0.09 + -5.91. What is the nearest to i in v, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 7, m: 4, c: 6}. What is prob of sequence nc?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 85 + j**3 - 30.\nAnswer: j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 109. Which is the second biggest value? (a) 1 (b) 0 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*m - 470*m + 953*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33\/11*(-75)\/15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -21. Suppose -6 = 3*f + 6, 4*m - 520 = t*f. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4769 (base 13) to base 11\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-154) + (-4)\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -68, -78, -68, -32?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98638 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -6*(-3)\/9) + 192\/(-32). Let w(z) = 34*z + 375. Calculate w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*x + 87642430*g**4*x + 734*g**2 - 167931*x wrt g.\nAnswer: 60*g**2*x + 2103418320*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*i - 2 + 698 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/12 - h**3\/6 + 25*h**2 - h. Determine u(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 7. Let u be p*(1 + 3) + 1. Let h = u - -11. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((240\/175)\/(-8))\/3*(-10)\/(-8).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*v + 4618, -5*v + 8 = -v. Let i = 24078 - q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 7*r - 2. Let p(q) = 3*q**2 - 14*q + 3. Let x(u) = -3*p(u) - 5*t(u). Let o be x(-5). Let d = o - -12. Solve 0 = -m + d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -330*r**2 + 21. Let l(y) = 597*y. Determine w(l(n)).\nAnswer: -117614970*n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7928\/30 - (-63)\/175*20\/(-12). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-101)\/5)\/(1 + 28\/(-26)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 1. Let o(q) be the first derivative of -1\/2*q**2 + q - 3. Let b = 11 - 8. What is b*o(k) + 2*u(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.24 less than 0.1?\nAnswer: -13.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t - 4. Let o(a) = -a + 1. Let g(f) = n(f) + 4*o(f). Let h(s) = -9*s**2. Determine h(g(p)).\nAnswer: -324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.68214 - -1182.\nAnswer: 1183.68214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 3. Let k be 29\/y + 3\/9. Suppose -2*q = -0 + k, 5*q = -2*u - 15. Solve -b = -3*b + m + 9, 0 = 4*b + u*m + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 3)\/((-87)\/(-58)). Let c be 1\/(-2)*(1 - 5). Suppose -q*f - 3 + 5 = -2*r, -c*f + 8 = r. Solve r*g = 5*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2739, -10960, -24661, -43842, -68503, -98644?\nAnswer: -134265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -6*r - 7*r. Let m be 1*-1*r\/(45\/(-10)). Suppose k = -4*k - 20. Which is smaller: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q + 4*d - 4 = 0, q - 6 = -d. What is the hundreds digit of 139\/2*(q + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.5 - 29. Let l = 5.8 - j. Suppose -16 = -4*t, -2*t - 8 = -5*r + 4. Which is the nearest to r? (a) -2\/7 (b) -3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, l: 3}. What is prob of sequence xxxx?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + a = 3, 4*x + 12 = 8*a - 5*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5841\/13282 - 2\/229. Is 1 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/20)\/((-1)\/(-8)). Find t such that w*t + 0*t + 4*t - t**2 - 5*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 78. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 21*k**2 + 48*k - 38. Let f be j(-16). Let g(h) = f - 478 + 0*h + h + h. Let v be 2\/(-6) + (-75)\/(-9). Determine g(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 55. Calculate the remainder when 50 is divided by 4*(2 - (-66)\/q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - j - 1 + 0)*(3*j + 6 - 6 - 2).\nAnswer: -3*j**2 + 26*j - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 61 = c + 2*j, 273 = 5*c - 3*j. Suppose 5*q - c = 2*q. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 169 - 26. Let i = x - 17. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 198 = -g, 64 + 138 = q - 5*g. Does 22 divide 2\/6 + q\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Suppose 0 = 2*d - n*f + 4 - 6, -2*d - 5*f = -23. Solve -d = -2*c - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5154, -40 in descending order.\nAnswer: -4, -40, -5154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 14*b**2 - 23*b + 12. Let c be j(-12). Suppose c = 11*u - 113 - 382. Let l be 2*-6*(-30)\/u. Solve -2*z + 4*z + l = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*t**2 + 208*t**2 + 197*t**2 - 4 + 4.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1325 + -711. Let u = x + -476. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172*w**2 + 172*w**2 + 5567*w**3 - 11711*w**3 - 264*w wrt w.\nAnswer: -36864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 25. Let y(m) = 2*m - 48. Let c(l) = -5*w(l) + 2*y(l). Let a be c(26). Let x(k) = -6*k - 2. Determine x(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 5, -2, -21, 2.64?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 27924.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5)*(-175)\/70 - 192. Let q = i - -194. Solve 3*g = -5*r - 8, q*g + 2*r = 4*r - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858439 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.465 take away 24870?\nAnswer: -24873.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1187319.6 - 1.\nAnswer: -1187320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.557484602 to two decimal places.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 100. Sort -1, n, 5 in descending order.\nAnswer: 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116945096 divided by -152.\nAnswer: -7348323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 514378.971 to the nearest one hundred.\nAnswer: 514400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = i, 0 = 3*n + 11*i - 8*i. Is n >= 1\/744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/183010 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Suppose -h = -5*z + 4*z. Let q be 2 + (z - (3 - 0)). Solve 3 + q = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 39*n - 25 = 0, 27 = -g - 5*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 20 = 5*b, 4*b - 4 = 4*g. Let m(l) = 5 - 13*l - 3 - g*l. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -133, 5, 24\/11, -6, 6?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 2, 5, 38, 0, 22 in decreasing order.\nAnswer: 38, 22, 5, 2, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40825, 40827, 40829, 40831, 40833, 40835?\nAnswer: 40837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 + -254. Let h = 1.4 + -1. Which is the second biggest value? (a) t (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59\/1962 - 25\/981. Is -5\/41 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/12*i**4 + 0 + 0*i**3 - 3*i**2 + 0*i. Let r(a) = -3*a + 5*a - 3*a + 0*a. Give r(k(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-32)\/400)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7217\/9 + 803. Calculate the common denominator of -6 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_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: Suppose 720 = 5*v - 4*w - 14091, 0 = -2*v + 4*w + 5922. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i + 3 + 4*i - 5*i. Let u(o) = -o**2 + 6*o - 6. Let x be u(2). Let v be r(x). Which is the nearest to 1\/3? (a) -4 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 12 = -5*h, -15*h + 11*h + 8 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -294 + 251.4. Let s = y - -43. Which is the biggest value? (a) -0.5 (b) -0.2 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2328)\/(-16))\/(36\/(-12))*2?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 divided by -5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 219\/45)*7\/(-7). What is the nearest to -2 in z, 1, -37?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.161 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = 2*j. Let m = -9 + j. Let y(v) = -80*v + 1. Let q be y(-1). What is the highest common divisor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19980917 and 15?\nAnswer: 299713755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 61c73f?\nAnswer: -61c745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**0)\/r**(1\/4))**(-39)*(r*r*r*r**(-3\/4)*r*r**(2\/5))\/(((r\/(r*r**(2\/5)))\/r*r)\/(r\/r**1)) assuming r is positive.\nAnswer: r**(-321\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6023332 and 83\/58512368.\nAnswer: 409586576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + 11*h - 59. Let x be z(4). What is the highest common factor of x and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*r*u**2 + 36*d*u**2 + 10*d + 2*r*u**2 - 1547*r - 3*u wrt r.\nAnswer: -2*d*u**2 + 2*u**2 - 1547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + 0)**2*-2 + -3)*-2.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4) - 1)*0. Let w = 25 - -2. Solve -5*a + 2*t = -2*t + 17, 5*a + t + w = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minus 9015704606?\nAnswer: -9015704387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehhhhhkkkkhk. What is prob of sequence hk?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-51)\/(-45) - 138\/(-230). Let x = -28 - -41. Suppose -2*k = -1 - x. Solve 3*y = 5*c + k, a = c + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**4\/4 - d**3\/3 - d - 17. Let l(v) = v**3 + 7*v**2 - 14*v + 3. Let w(c) = -3*a(c) + l(c). Solve w(g) = 0 for g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56 - -62)*(1 - (-2)\/(-6)). Solve 6*w + 6 = a*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c. Let w(u) = 4*u**2 - 136*u**3 + 0 + 137*u**3 - 4*u - 2 + 2. What is -4*g(o) + w(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*n + 53*n + 1321 + 1025 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -455\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 + 3*i - 5. Let w be f(5). Let k be (16\/(-10))\/(6\/w). Calculate the highest common factor of 36 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27225202 is divided by 1552?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000646 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.59*0.5\nAnswer: 2.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x + 5*v - 4154, 2*x + 5*v = 2082. Let g(k) = k**2 + 2*k**2 - 6*k + 1027 - 2*k**2 - x. Let w be (-10)\/(-35) - 162\/(-21). Determine g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*w = -31263 + 31180 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 4*v - 6*v)*(-27 + 27 - 8*v) in the form r + m*v**2 + j*v and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 30*x**2 - 5358*x - 50658. Determine g(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 700*w. Let j(t) = 5*t - 12. Let y(o) = 6*o - 14. Let b(i) = 7*j(i) - 6*y(i). Calculate b(x(c)).\nAnswer: -700*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30652, -30663, -30688, -30733, -30804, -30907, -31048?\n\"Answer: -l**3 - l**2 - l - 30649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = 29. Suppose -8787 + 49602 = -h*w. Let b = 13663 + w. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -0*w - 50. Let n(f) = f**3 + 6*f**2 - 5*f - 22. Is 2 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88574591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10038, 12185, 6442, -7191?\n\"Answer: -3945*j**2 + 13982*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -512851 or -512857?\nAnswer: -512857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 9, 1, -0.3, -2 in decreasing order.\nAnswer: 9, 1, -0.2, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 8. Let g be h(2). Find the third derivative of -91*i**g + 11*i**4 - 5*i**6 - 11*i**4 + 4*i**2 wrt i.\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1940 + -504. List the prime factors of t.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2)\/3*-3. Let p be (2 + v\/(-3))*-1. Suppose 21 = -p*h + 3*h. Solve -5*y + 32 = h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25235, -4, 6, 4.\nAnswer: -25235, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Let w be 253\/(-77) + o\/14. Let z be 2*((-15)\/2)\/w. Solve 4 = -m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 - 5*q**2 + 6*q**2 + 9*q - 10 + 9*q**2 - 4*q**2. Calculate b(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(1 - 5). Let f(v) = -v**2 + 7*v + 3. Let d be f(5). Let r be 18\/(-12)*(-14 + (-34)\/(-3)). Solve -w*n - t - d = -4*t, n = -t - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-224))\/((-2)\/8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00385571 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 7610*n - 7610*n + 0 - 231*n**2 to the form o*n + q + d*n**2 and give d.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*z - 29 = 0, -q + z + 4 = -5 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6229 + -735. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 29*z**2 + 2*z + 5. What is the tens digit of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -45*q**3 - 135*q**2 - 180*q + 335. Let s(f) = -11*f**3 - 34*f**2 - 45*f + 84. Let y(t) = 6*k(t) - 25*s(t). Factor y(z).\nAnswer: 5*(z - 1)*(z + 3)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 3, 2\/17, -2.091?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 41725 in ascending order.\nAnswer: 1, 4, 41725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*k**4 + 0 - 8\/3*k**3 + 688*k**2 + 0*k + 2\/3*k**5 = 0. Calculate k.\nAnswer: -2, 0, 2, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -5, 17\/103?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 - -78. Let x = i - 201. What are the prime factors of x?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(441))\/((2*sqrt(70)*3 + sqrt(70))\/sqrt(10)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204 + 74*k - 9*k**3 + 2*k**3 + 25*k**3 - 16*k**3 with respect to k.\nAnswer: 6*k**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25e4 - -6034?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1914741121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583 is divided by 102.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2646 - -18474\/7. Suppose 2*k + 12 + 4 = 0. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(56)\/(2*sqrt(8)*-6) - sqrt(42)\/(6*sqrt(18)\/sqrt(3))))**2.\nAnswer: -5*sqrt(7)\/2 + 407\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - 6) + 3)\/((-6)\/16). Solve -y + 9 = w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -4*s + 11. Suppose -5*n - s = -n. Let x = -1 - n. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132025423333 - 4?\nAnswer: 132025423325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/1761 and 11\/478.\nAnswer: 841758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-8)*(2 - -6) - -5. Let z(f) = -4*f - 6. Let p(u) = 4*u + 5. Determine t*z(x) - 6*p(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n - 3. Let t be (5\/1)\/(-28 - -29). Determine f(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by 718\nAnswer: 145\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 12.510770281.\nAnswer: 17.510770281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 13*w - 896. Calculate s(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -34) + 41 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518260085?\nAnswer: 5, 7, 14807431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 121242?\nAnswer: 121305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56673928, 113347863, 170021802, 226695745, 283369692, 340043643?\n\"Answer: 2*n**2 + 56673929*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -4. Let w(j) = 4*j**2 - 2*j + 1. Let d be w(x). Let f = -13 + d. Solve f = 6*y - y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/10 - -1 - (-396)\/765?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 5*t**2 - 2*t**2)*(20*t - 1 + 3 - 22*t) to y + l*t**2 + g*t**3 + s*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(20\/9)*m**(-2\/87)*(m\/m**14)**(26\/5))**44 assuming m is positive.\nAnswer: m**(-3755312\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.5 + 536.5. Let q = 574.055 - f. Let c = 12 - q. What is c rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 20. Let g(m) = -m**3 + 17*m**2 - 18*m + 12. Let s be g(16). Let w be k(s). Solve -3*n + 62 - 59 = w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 + 81472135*v**3 - v**2 - 29955202*v + 1?\nAnswer: -24*v**2 + 488832810*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 + 10*a - 8. Let d(l) = -4*l**2 - 5*l + 4. Let z(x) = -11*d(x) - 6*o(x). Let r be z(2). Solve 4*i - 3*h = -17, 3*i + 4*h = 8 - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 12, -27, -86, -171, -288?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:29 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 13. Let m(p) = -p + 12. Let s(y) = 6*m(y) - 5*v(y). Let a be s(4). Let n be (0 - a\/(-21))*-2. Sort n, -3, 1\/2.\nAnswer: -3, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (3 + (-3 - 6)). Let i be 2 + (-14)\/(0 + 2). Let a = -2 - i. Are n and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 + 107*j - 76. Let q(n) = -n**2 - 2*n + 2. Let u be q(-4). Let s = 14 + u. What is the least common multiple of l(-9) and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1338344612 and -4?\nAnswer: 1338344608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*c - 1480 = 328*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 459 and 81.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5647772 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/168 and 109\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 + j**5)*(-2 + 4 - 1) - 15*j**5 + 6*j**5 + 14*j**5.\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 195253968*a + 4765514002468128 = 0.\nAnswer: -48813492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6613773 (base 8) to base 11.\nAnswer: 1003052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 4*z - 3*z + 6 + (4 - 2*z - 4)*(-1 + 3 - 3) + 8*z + 13*z - 10*z in the form b*z + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 102*x**2 - 3*x + 316. Let f be n(102). Which is the closest to 2\/7? (a) 6 (b) f (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 89, 134, 179?\n\"Answer: 45*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 3*m - 2. Let z be o(6). Suppose 3*r = 5*r - z. What is the second derivative of -y**3 - 8*y**3 + 6*y - r*y**3 wrt y?\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 17, 12, -5, -40, -99, -188?\n\"Answer: -j**3 + 3*j**2 - j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/13 - 6*g**4 + 452*g**3\/13 - 72*g**2\/13 - 1840*g\/13 + 1536\/13 = 0. What is g?\nAnswer: -2, 1, 2, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -100086, 28, -4, 0 in decreasing order.\nAnswer: 28, 0, -4, -100086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 3 + 2*g)*(-167*g**2 - 242*g**2 + 226*g**2) to s*g**2 + a + o*g**3 + n*g and give s.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3872483 is divided by 2434.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44867067?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/(96\/(-132)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1895 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1823911 weeks to days.\nAnswer: 1.2767377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2 = 7*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22 + 1*(2 + -4). Suppose -5*w = -0*w - m. Let t be 2\/((-4)\/(-58)) + -1. Solve w*u = 4*x - t, 3*u - 6 - 1 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 13392.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138797777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5494 divided by 375.\nAnswer: -5494\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 243299 - 13*m - m**2 - 243303. Suppose -13*x - 109 = 8. Determine v(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 - 16*s**4 + 3*s**3 - 2 + 17*s**4 to the form u + t*s**4 + v*s**3 + q*s + w*s**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 28.3.\nAnswer: 1.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5*v + 5. Suppose -35 = 23*p - 16*p. Calculate r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 - 10*k**3 - k**2 - 5*k - 4*k**2 + 7 + 3*k**3. Let v be z(7). Let d = 74 - v. Solve d*o = 2*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133335 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from ommoooom.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vtvtvvttttttttttvttt?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 365*c**2 + 17*c - 92. What is the units digit of a(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.38 and 0.09.\nAnswer: 0.4842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139, 2996, 5853, 8710, 11567?\n\"Answer: 2857*k - 2718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4552894, 4552807, 4552712, 4552603, 4552474, 4552319?\nAnswer: 4552132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97007*g + 97009*g - 2870*g**2 - 2808*g**2 to x*g**2 + c + l*g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from qrmlmnmrqlvmqmmrl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.17 (b) 1\/4 (c) -0.17 (d) -0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6691764 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61517 divided by -5374.\nAnswer: 61517\/5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 320?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziggihihhh. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w. Let q(t) = t - 8. Let m be q(w). Let u(x) = -x**2 - 10*x + 3. What is the remainder when 36 is divided by u(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285386.13 months to millennia.\nAnswer: 23.7821775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26946)\/990 - -27)*(-3)\/(12\/5).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3. Let f be z(2). Sort f, 2, 0.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsf when three letters picked without replacement from zssffzsss?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8384?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531409?\nAnswer: 223, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/19 - 372*g**3\/19 + 8040*g**2\/19 - 41200*g\/19 = 0 for g.\nAnswer: -206, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 36*y**2 - 76*y + 42. What is the smallest common multiple of 7 and g(-38)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 91*y - 22082. Give w(-72).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**7\/14 + 23*l**6\/24 - 5*l**5\/6 - 10*l**4\/3 - 369*l**2. Factor n(d).\nAnswer: 5*d*(d - 1)*(d + 8)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -179, -209, -259, -335?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Let s = u - -3. Let p = 1.9 - 2. What is the nearest to p in s, 2\/7, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-62)\/(-217))\/((-6)\/14))\/(24\/3420)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) - (0 + sqrt(2057)) - sqrt(2057))*-3)**2 + -1*sqrt(2057)*-6 + 4 + 4 + 1 + sqrt(2057))*1*4.\nAnswer: 308*sqrt(17) + 74088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*w + 67. What is the hundreds digit of 189 - w*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126998.908 to the nearest 1000.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 2. Let k(s) = -2*s + 2. Suppose 0 = -3*o - 12 + 30. Determine o*k(y) + 5*v(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*d**3*n - 73*d**3 + 3*d**2*n - d**2 + 30137*d*n - d + 20*n - 1 wrt d?\nAnswer: -1176*d*n - 438*d + 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-375) + (128\/(-1344) - ((-112624)\/(-210))\/8).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -152.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 - 2*g**2 - 14*g - 4*g**2 + 3.\nAnswer: -26*g**2 - 14*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 divided by -1?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.048 - 0.352. Which is the second biggest value? (a) -5 (b) t (c) 1\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19911*f*y + 14236*y wrt f?\nAnswer: -19911*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 2. Let n be j(0). Let t be (2\/((-24)\/20))\/(2\/(-6)). Factor i - 3 + i**5 + 6*i**n + i + 2*i**t + i - 6*i**3 - 3*i**4.\nAnswer: 3*(i - 1)**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - s + 0*s. Let j be a(-3). Let t be 3\/(j\/(-9) + 0). Calculate the highest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47 + 157*o**2 - 163 + 7 + 46 wrt o?\nAnswer: 314*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 4*q + 3. Let n be g(2). Suppose -n = -2*a + 4*j - 7, 3*j + 15 = 0. Let y be a*(-2)\/(-6)*-1. Let r(t) = -t**2 - t + 6. Give r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 23714 + 2918. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 + 31*i**2 - 11*i**2 + (3*i + 0*i + 0*i)*(0*i + 0*i - 2*i) + (2 + 7 - 2)*(-3*i**2 + 4*i**2 + i**2).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*c = -315*c - 14. Suppose -12*y = -4*o - 13*y + 1135, 2*y = -c. What is the smallest common multiple of o and 4?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/3 (b) 2 (c) -0.4 (d) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3766141 (base 8) to base 13.\nAnswer: 2a6cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15530 and 4011399.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:46 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - 1. Let v = 0.8 - u. Let q = 89\/4 + -23. What is the third smallest value in v, -3, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -u - 16, 2*u - 3 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 202 - 42. Let l = -102193.69 - -102193.7. Sort l, 0.3, r in ascending order.\nAnswer: l, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1, -5, 3\/91, 2\/7, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 12:16 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19729, -39706, -59683, -79660, -99637?\n\"Answer: -19977*i + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 523, 1056, 1589?\n\"Answer: 533*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 71.98. Let o = -0.02 - g. Let n = 33 + -101\/3. What is the nearest to o in -0.5, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033281763 rounded to 6 dps?\nAnswer: 0.003328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3 = -x - 4, -g = -x + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {d: 6, s: 4, t: 2, k: 1, x: 1, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.2. Let w = -274.4 - -274. Which is the closest to n? (a) 4 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.3, 15, 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6877*x + 64468 - 103925 - 305242 = 143568 for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/15 - 56*g**2\/15 + 18*g\/5.\nAnswer: 2*g*(g - 27)*(g - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2700 = 438199*n - 438139*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 9*u - 11. Calculate z(6).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24.499 and -2.\nAnswer: 48.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 2*l. Suppose -9*g + 7*g = -l. Let m = 127 - 83. Solve 5*z + 2*c + m = 18, g*c = -3*z - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.500089 + 7.5. What is d rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-2 - 2*k**3 + 2) - 3*k**2 + 2*k**3 + 3*k**2 - k**3 + 2*k**3 - 2*k**3 + 5*k**3 - 8*k + 8*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b + 80. Let i be p(6). Let k(z) = z**2 + 7*z - 5. Let s be k(-7). Let t = -88 - -92. Sort t, s, -1, i.\nAnswer: s, -1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -78328.221483?\nAnswer: 78332.221483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 18201 + 126471 = 0. Let u = 19457 + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -279 + 287. What is the remainder when 286 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4)*(3\/3 + -3). Let g(o) = 35*o**2 - 13*o + 44. Is g(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198174*t**2*v**3 - 1506*t**2*v**2 - 309*t**2 + 17*v**5 + 12*v**3 + 88*v**2 wrt v?\nAnswer: -1189044*t**2 + 1020*v**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119108 is divided by 221.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.7627575 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*g - 8*g. Suppose -5*t + 3*a + 9 = 0, -g*t + 3*a + 5 = -1. Let s = -8 + 7.7. Put t, -3, s in decreasing order.\nAnswer: t, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30401 + 31339. Calculate the highest common factor of f and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 6. Let s(b) = -32*b - 7. Let v(g) = -38*g - 7. Let y(w) = 6*s(w) - 5*v(w). Determine 5*q(m) - 4*y(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3157*w - 13882 - 12755 = 64916 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5512 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2)*4\/(-6). Let u = -1.49 - -24.39. Let d = -23.9 + u. Which is the closest to d? (a) -3 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53424403 (base 6) to base 7\nAnswer: -16244646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1150 - 556. Let z = -537 + o. What is the highest common factor of 228 and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666125 + 8 + (-31)\/(434\/(-84)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55129 and 181163.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 19*b**2 - 47*b - 116. Let x be v(-10). Put 0.05, -3, x in decreasing order.\nAnswer: x, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -50 + 8 + 39*a + a**3 + 393*a - 36*a**2. Suppose l(i) = 0. What is i?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:02 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + 2*i + 1. Let g be d(-1). Put 4, g, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7186483 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 488, 4\/3, -20923, 5 in ascending order.\nAnswer: -20923, 4\/3, 5, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286\/5151 + 1\/303. Let d = h + -77\/153. Let s = -0.1 + -0.3. Which is the third smallest value? (a) 2 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13\/7, 1, -2\/7, 15, -312?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 3*n + 12. Let j(q) = -q**2 - q + 4. Let y(k) = -11*j(k) + 4*m(k). Let g(z) be the first derivative of y(z). Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 6, l: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4328*c - 4249*c = 237. Find f, given that 0 + 3\/5*f**c + 66\/5*f + 39\/5*f**2 = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnnnngngn. What is prob of picking 1 g and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 - (3985\/800 + -5). Let k(d) be the third derivative of 0*d**4 - p*d**6 + 1\/40*d**5 + 0 + 0*d**3 + 0*d - 6*d**2. Factor k(s).\nAnswer: -3*s**2*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/3 + 2*r - 4. Let t(v) = 128*v**2 + v. Determine t(h(c)).\nAnswer: 512*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2806*p + 6. Let c be v(1). Suppose 4*a = -12 + c. Round a to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 + -251. Let i = 5 - 22.5. Let n = i - h. Which is the second smallest value? (a) -4 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y - 126. Let c be r(-9). Suppose 17*t - c*t = -108. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -983755, -1967429, -2951103?\n\"Answer: -983674*y - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-14)*-16*(-161)\/(-23)*(-60)\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y + 32*y - 15*y + 28 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((y\/(y\/y**1*y)*y*y)\/y*y)\/y)\/y*y)**(-41)*(((y**(-1\/5)\/y)\/y)\/y)\/y**(-5\/4))\/(y**2*y\/y**(2\/13)*(y*y**(2\/5))**(-46)) assuming y is positive.\nAnswer: y**(-5823\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29118294 to the nearest integer?\nAnswer: 5396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(384\/(-160)*(1350\/(-12))\/9)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 7. What is z(10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 - -228. Let h be -1 + 3 - -15*(-12)\/81. What is the biggest value in 1\/6, c, h, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 23*a + 140 + 41 - 336 + 78.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110989 (base 13) in base 11?\nAnswer: 25470a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:54 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 14*g**2 + 347*g + 5213. What is f(-16)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -4\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3163 + -2969. Let a = 5030.1 - 4819. Let t = a - x. What is t rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1543, 25, -5, -1, 1, 0 in descending order.\nAnswer: 25, 1, 0, -1, -5, -1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + o + 34 = -37, 33 = h + 2*o. Let j = -42 + h. Let z = -8 - j. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03931 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3956 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g + 35. Let a(k) = k + 9. Let q be a(g). Suppose -220 = -q*c + c. What is the greatest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + 3 + -6 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*sqrt(110) - sqrt(110)*3*1)\/(-3*(sqrt(1000)*2 - sqrt(1000))*-5))**2.\nAnswer: 99\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63560200 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 796193 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1252536671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 95. Suppose 5*q = 5*l + 85, 3*l + 81 = v*q + 3*q. Solve -4*n - n - q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = -5*b, 0*b = -4*n + 2*b + 20. Let j = n + -1. Let i(y) = -2*y**3 + 43*y**2 + 22*y + 10. Let t be i(22). Sort t, 0, j.\nAnswer: 0, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500) + -4 + -3 - ((sqrt(135) + 1*sqrt(135))\/sqrt(3))\/(sqrt(63)\/(sqrt(7) - (sqrt(7) + sqrt(63)))))**2.\nAnswer: 196*sqrt(5) + 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-96)\/(-8))\/((-2)\/(-12)). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 72. Let z(m) = -4 + 5*m**2 - 4*m**2 + 15*m + 12*m**2 + 2*m**2. Let f(v) = 7*v**2 + 7*v - 2. Calculate l*f(c) + 6*z(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 4:09 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from {t: 4, q: 4, b: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8137196 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*r**2 - 28*r**2 - 112*r**3 + 85*r**2 - 27*r**2 - 19*r + 124*r**3 to the form a*r + u*r**3 + d*r**2 + p and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225024 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 3*d**2 - 6. What is the tens digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-22) + 370\/264 and (-923)\/(-176) - 8\/44.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1745146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)*133\/(-49) + (-2)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-73)\/(-12) + (16 - 27) + 8 and 125\/444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 15. Suppose -13 = -2*f + t, g*t + 2*t - 25 = -5*f. What is the smallest common multiple of f and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 883671 and 168017.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 1, a: 1, z: 3, d: 3}. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5.3. Let f be (-2)\/(-5) + (-24)\/160. Put r, 3, f in decreasing order.\nAnswer: 3, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9 or -1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7139\/6 + -1189. Put 1, r, -0.13, -2\/3 in decreasing order.\nAnswer: 1, r, -0.13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 11:01 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020002220122 (base 3) in base 9?\nAnswer: -4202818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 233.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 20, -0.1, 0.3, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 6*r. Solve 0 = -5*u + 3*w - w - 7, r = 5*u + 5*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-80) + 2574\/(-330))*-10?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = 3*v, 4*c - 8*c = 3*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5*y**2 + 6*y + 4. What is r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1.8 (c) -13 (d) -17 (e) 1\/102 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, -16, 0.4, 148804 in increasing order.\nAnswer: -16, -2, 0.4, 14, 148804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-6 - -3) + 6. Let v(t) be the third derivative of -1\/12*t**4 + 0 - 1\/3*t**3 - 1\/30*t**5 + 1\/120*t**i + t**2 + 0*t. Calculate v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115619100.\nAnswer: 2, 3, 5, 385397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -32, -71, -126, -197?\n\"Answer: -8*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 11:18 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110797\/5 - -1322399\/60. Let w = 127 + l. Calculate the common denominator of w and ((-249)\/6)\/(-1*11).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 1753*b**3 + 0*b**2 - 1754*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose -b + 29 = p*h - 284, 4*h + 3*b - 307 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 149*h**2 + 3*h - 2. Let t(m) = 291*m**2 + 7*m - 5. What is -5*r(d) + 2*t(d)?\nAnswer: -163*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/11 - x = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 0.08, -0.5, 0, 4\/9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90482967?\nAnswer: 3, 1087, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2546687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 786*d - 2416. Calculate the remainder when k(5) is divided by 129.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 4*q. Let d(x) = x**3 - x**2 - 2*x + 148. Let f be d(q). Let o = f + -104. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*c**2 + 33820 - 33820)*(-2 + 3 - 1 + 1).\nAnswer: 143*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*-3*sqrt(112) + 4)**2*4.\nAnswer: -1536*sqrt(7) + 64578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-2)\/sqrt(7))\/sqrt(5) + -5.\nAnswer: -5 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:43 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647879 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*a = 31 - 1463 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmzd when four letters picked without replacement from {x: 1, d: 2, m: 2, k: 4, z: 1, w: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/241980 and -115\/24198?\nAnswer: 241980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 777453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + 824\/(-12). Let x = -58 + 11. Let o = x - g. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24195654.\nAnswer: 2, 3, 7, 192029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) 3417 (c) -1\/6 (d) 8 (e) 4\/9 (f) -1\/4 (g) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4207788, 4207796, 4207808, 4207824, 4207844, 4207868, 4207896?\n\"Answer: 2*c**2 + 2*c + 4207784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let v(t) be the second derivative of -1\/12*t**4 + 0*t**2 + x*t + 0 + 0*t**3. Let j(h) = h. Give j(v(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p + 11*p**3 - 7*p**3 + 4*p**3 + 4*p**3 to b + s*p**2 + r*p**3 + i*p and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from uugtg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((((-6669)\/2808)\/(10\/24))\/1)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/25 or -0.052?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -182 (c) 1 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Let y = s - -10. Solve -m - 2*m + y = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -2)*8\/10. Let n be -1*(2 + -1) - -3. Factor -u*q - 1 + 2*q**n + 2 + 1.\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2656*x - 830*x + 700 - 349 - 353 + 1381*x.\nAnswer: 3207*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28469449312 less than 0.3?\nAnswer: -28469449311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 20 = -4*n, 15 = 3*n - 17*i + 21*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.1, 2\/5, -2, 4, -0.647?\nAnswer: -0.647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28329 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*n - 188*n = 20, 4*a - 5*n = 35480. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*c - 48. Calculate the remainder when (-8)\/c*3*3*-2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-8 + 4)) + (-5 + 10 - -16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 33*r**2 - 58*r + 124. Let n be v(-31). Which is the nearest to 1? (a) n (b) -3\/4 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhyyyhyhbycccybbbyhc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udii when four letters picked without replacement from fvifvfiuffiimdffdidf?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + (-37 - 12) - -56) + -117?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 6282489?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 3*i, 7*i + 5*a = 9*i. Calculate the least common multiple of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 - 5*c**2 - 2*c**2)*(-15617 + 17078 - 11*c - 59*c**2 + 58*c**2) to w*c + j + t*c**3 + i*c**2 + d*c**4 and give i.\nAnswer: -5844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v - 2*h + 1, 4 = h. Is (v\/1)\/(1\/6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 8, 0 = -h + 5*a + 201733. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - 8 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l + 72*l = 68*l - 1860 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - q - 15 = -0*a, 4*q - 24 = -5*a. Let o(w) be the third derivative of w**6\/120 - w**5\/15 - w**4\/8 + 2*w**3\/3 + 15*w**2. Determine o(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.054363743 + 0.05436. What is g rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 5 (c) 214 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4327 and 135.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*n - d - 1, 0 = -2*n - 4*d + 2. Suppose -b = 5 - 4. Is n less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -574 divided by 4.\nAnswer: -287\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*f + 30, 7*f - 4*f = 2*i - 13. Calculate the smallest common multiple of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197464.1911702 - 0.17.\nAnswer: 197464.0211702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(125) - 1*sqrt(125))**2 + 0 + sqrt(5) + -1 + sqrt(5) + sqrt(5)).\nAnswer: -4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(2 + -2*(sqrt(1008) + 1 + 1)*2) + 3)*-2)**2.\nAnswer: 69120*sqrt(7) + 2326032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let g(m) = 4*m - 2. Let b(v) = -4*g(v) - 11*u(v). Let r be -4 + 2\/(1 + 1). Is 9 a factor of b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.4 - 8. Let r = k - 6. What is the third smallest value in r, 5\/4, -2\/11?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391609795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4456 - -0.0456. Which is the second biggest value? (a) 0.1 (b) -1\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20983271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/9)\/i)\/i)\/i)\/(i\/(i\/i**(-1\/6))))**(1\/4)*i\/(i\/(i*i*i\/(i*i**(-1\/2))))*i*i*i**0*i*i**(1\/6)*i**6 assuming i is positive.\nAnswer: i**(793\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 7*l - 6. Let z be k(-6). Suppose -x + 86746 - 1456746 = z. Round x to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10970 and -48\/17?\nAnswer: 186490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 6*k**2 - k - 6. Let i be g(-6). What is the remainder when 2 is divided by 3 - (3 + (i - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:10 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**4 - i**3 + i - 1. Let t(f) = -5*f**4 - f**3 + 6*f - 1. Let j(k) = -m(k) + t(k). What is the second derivative of j(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1 (b) 53 (c) 2 (d) -501 (e) 6\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5*d + 4. Suppose 7 + 13 = 5*p. Let w be (-26)\/(-8) + (-1)\/p. Does 4 divide i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:45 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 22. Let u be m(10). Let x = -62 + u. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4805 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4599 times -5\nAnswer: -2.2995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-8\/5)*g**(-6)*g*g)\/((g\/(g\/g**(-8))*g*g)\/(g*(g*(g\/(g\/(g**(-7\/5)*g))*g)\/g*g)\/g*g)) assuming g is positive.\nAnswer: g**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5686*a**3\/5 - 6824*a**2 - 24*a\/5.\nAnswer: -2*a*(a + 6)*(2843*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 2341?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + ((2*sqrt(160) + sqrt(160))*-6 - sqrt(160)) - sqrt(160))\/(sqrt(32)\/sqrt(4)*-1))\/(-6*sqrt(80)\/(sqrt(128)*2)))**2.\nAnswer: 11552\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*w**3 - 3339*w**2 + 3339*w**2 + (-w**2 + 4*w**2 - 2*w**2)*(2*w - 4*w + 0*w).\nAnswer: -84*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 10*w**2 + 6*w - 10. Let u be p(9). Let t = -36 - u. Calculate the remainder when -4 - (t - 2) - -103 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*(173\/(-15) + (-37)\/(370\/8))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2 - 10*s - 11 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:40 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22787 - 15392. What are the prime factors of t?\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -1 in descending order.\nAnswer: 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*o = -6 - 5, 61*o - 13 = 4*w + 60*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) - (-12)\/7. What is the third derivative of -5*g**2 + 7*g**2 - 3*g**v + 3*g**4 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2331 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than 162.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3733 - -4518. Calculate the remainder when n is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7805144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 + 1)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b**2 + 6. Let s(d) = 17*d**2 + 7. Calculate 6*s(m) - 7*u(m).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 2*f**2 + f + 7. Determine p(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 32)*(-1 + 2*z + 1 - 2 - z + 2 - 2 + 2 + 2*z - z + 2*z - 2*z + (-1 + 2 + 1)*(z + 0 + 0) - 3*z + 4*z + z - 2*z + z + 2*z).\nAnswer: 245*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -28623?\nAnswer: 28623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 14*p - 31. What is the units digit of i(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1122 times 4.77?\nAnswer: -0.535194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.809412 - -13.49138115. Let j = -0.318 - o. What is j rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-6 - ((2 - 0) + (42 - 49)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 - 4*u**2 + 14*u**2.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38221 to 4 dps.\nAnswer: -0.3822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9121769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2441 + 2443. Solve -4*z - i*k = 14, 2*k = -4*z + 7*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12578\/113 at most as big as -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12)\/(-1*sqrt(4)))**2 + -4*(1 + sqrt(192) - sqrt(192))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20380527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*a - 16*a + 3*a)*(a + 0 + 0) as c*a + m*a**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154\/5*r + 2\/5*r**2 + 60.\nAnswer: 2*(r - 75)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 105, 210, 357, 546, 777?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7973, 15948, 23923?\nAnswer: 31898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -199, -296, -381, -460?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 30 = -o. Put -3\/2, -2\/3, -1\/2, o in decreasing order.\nAnswer: o, -1\/2, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 183, 187?\n\"Answer: 4*s + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973682?\nAnswer: 2, 23, 61, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.184758 years?\nAnswer: 0.003184758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -101. Suppose 0 = -3*b + 10 + 14. Solve 0*n = s + r*n + 7, 4*n + b = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -3 (c) 438 (d) -6 (e) -1 (f) -2\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -586840, -2347367, -5281570, -9389443, -14670980, -21126175?\n\"Answer: k**3 - 586844*k**2 - 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/120 - 65\/75. Let t(b) = -64*b - 4. Let p be t(o). Calculate the greatest common factor of p and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(792) + 6*sqrt(66)\/sqrt(3))\/((-3*(sqrt(24) + sqrt(96)) - sqrt(24))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/4 + 1\/4. Let p = 1 - 2. What is the nearest to 2\/5 in p, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8077 and 164?\nAnswer: 32308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 8*x - 12*x**2 - 3*x**3 + x**3)*(4*x - 3*x - 4*x).\nAnswer: 6*x**4 + 36*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155749 - 155748.98. Suppose 0 = 3*a, -l + 3*a - 3 - 2 = 0. What is the biggest value in -4, v, l, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let t be (-18)\/(-30) - j\/5. Put t, -5, -1 in decreasing order.\nAnswer: t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119640, -235323, -351008, -466695, -582384?\nAnswer: -698075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2131*-0.0055.\nAnswer: 11.7205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + (-24)\/(-6) + (-2)\/2. Is (1\/(-21)*t)\/((-2)\/(-11586)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*-5*14\/(-910))\/((-244)\/(-3965))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -u + x + 190, x = 4*u + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -38. Let o be (12\/(-14))\/((-2)\/x). Which is the biggest value? (a) o (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:22 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*m + 17 = 0, 17*n = 14*n - 5*m - 10. Let l(k) = -k**3 + 23*k - 6. Calculate l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.7 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 158*n - 88. Let a(t) = -53*t + 29. Let q(v) = 7*a(v) + 2*s(v). What is the units digit of q(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 23, 1\/3, -3\/50, -21\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 1*(-5)\/(-15). Which is the closest to -1? (a) f (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) - 51\/(-7). Suppose 4*f + y - 35 = 0. Let p = -892 + 902. Calculate the smallest common multiple of f and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333272893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20521*k**3*t**3 - 2*k**3*t**2 + 14*k**3*t - 2*k**2*t**3 + 201*k**2*t**2 - 19*k**2*t - 15*k*t + 2*t**2 wrt k?\nAnswer: 123126*t**3 - 12*t**2 + 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 3. Let i be b(0). Let q(d) = -d**3 + 5*d**2. Let r be q(5). Let z be (2 + i)*(r + -20). Solve -5*c + z = -5*j, 0 = -2*j - j + 5*c - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1710 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 912756, 912777, 912812, 912861?\n\"Answer: 7*n**2 + 912749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + 2*u**2 - 2 + 5*u - 2*u - 2*u. Let t(s) = -2*s**3 + s - 4 + 1 + 3*s**2 - 3*s**3 + s. Let q be 162\/(-252)*7\/(-6)*-4. What is q*b(r) + 2*t(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9 - 6. Let o be 6*m\/66*4\/6. What is the third smallest value in -0.1, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16*r - 48 = 0. Solve -g = -r, -3*y - 4*g = 2*y - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + 4*q)*(7*q**3 + 2 + 0*q**3 - 5*q**3 + 8*q**4).\nAnswer: 8*q**5 + 2*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 20*i + 4 + 13\/2*i**2 - 1\/3*i**3. What is the units digit of w(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 553656*w\/13.\nAnswer: -2*w*(w - 276828)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14, 0.1, 2\/3, -1384, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 11*b - 13. Let r be d(9). Let v(z) = z - 1. Let m(a) = -a + 1. What is r*m(l) + 4*v(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(1 + -3 + 1). Let s be 2 + i + 100\/4. Calculate the highest common divisor of 48 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w + 1189102 - 594031 = 593732 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13234349, -26468697, -39703045, -52937393, -66171741?\nAnswer: -79406089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 748*y - 257*y + 247*y - 229*y + (-3 + 4 + 0)*(2*y**2 - y**2 - 2*y**2).\nAnswer: -3*y**2 - 987*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 37246?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:49 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*h. Suppose 2*k + 13 = 3*k - r, -2*k = -4*r - 36. Is 9450\/k + h*5\/(-80) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -19 - 3\/(-4)*-4. Which is greater: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545355359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180057?\nAnswer: 3, 47, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*y - 20, 0*f + 2*f = -3*y - 12. Let q(g) = g**3 + 3*g**2 - 4*g - 4. Let d be q(-4). Let x = f - d. Solve -x*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**7\/2520 - y**6\/120 + y**5\/24 + y**4\/3 + 15*y. Let a(t) be the third derivative of o(t). Factor a(j).\nAnswer: (j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34310 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 659567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*a*l*u*z - 22*a*l*u + a*u*z + l*u - 2*l*z**2 - 7*l + u - 3*z**2 wrt z.\nAnswer: -98*a*l*u + a*u - 4*l*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220840108 and 18956?\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((-2*sqrt(180)*-1)\/sqrt(9))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-9)*2\/16*6. What is the third smallest value in 0.4, 10, r, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 3*g**2 + 2*g**2 - 3*g**2 + 7*g**2 - 2*g**2 + (242*g - 316 + 316)*(-5*g + 0*g + 3*g).\nAnswer: -486*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39854*l + 39853*l + 5*q, -l + 4*q + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1347847 - -96072. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 480. Suppose k = 4*k - c. What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 2\/3 (c) 0.03 (d) 0.0025 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 - (-1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/6 + 5*y**4\/12 + 8*y**3\/3 - y**2. Let i be -16 - 77\/11*-2. Let j(m) = 2*m**2 + 2*m + 3. Calculate i*p(q) + 11*j(q).\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 124*l**2 + 6*l - 362. Give s(62).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 1218. Let v(d) = d - 11. Calculate -m(b) - 4*v(b).\nAnswer: -2*b - 1174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3942540 and 34251.\nAnswer: 918611820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, i: 5}. What is prob of sequence imim?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*3\/(-27)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-10)*(-160)\/(-12). Let k = -23 + p. Let u = k - -14. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*m**3 - 4*m**5 + 55*m**3)*(433 + 779 + 728 + 52).\nAnswer: -7968*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 220 + -4?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s**2. Let l(t) = 207*t + 208*t - 414*t. Give l(o(r)).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463*k - 445*k - 162 = 0. What is the smallest common multiple of k and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*f**4 + 536\/5 + 796\/5*f - 268\/5*f**3 - 12\/5*f**2 = 0. What is f?\nAnswer: -1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.74901um to centimeters.\nAnswer: 0.003874901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1321421221?\nAnswer: 1321421216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {v: 3, i: 11, x: 1, e: 4}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoooiooiiyyiyoy. What is prob of picking 2 i?\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 313480 and 510?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -30, -0.63298 in decreasing order.\nAnswer: -0.3, -0.63298, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -23. Suppose -m + p*m = 34. Calculate the highest common divisor of m and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1. Let j(t) = t. Calculate j(i) + 6*v(i).\nAnswer: i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433015831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/20 - 1\/(10\/34). Let l = -32 + 29. Is l != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, l: 4, b: 2, d: 1}. Give prob of picking 1 o and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205934?\nAnswer: 2, 102967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = -17*q - 1154400. What is q rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 338*g**3 + 3*g**2 - 30*g.\nAnswer: 338*g**3 - 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 30*d**2 - 4*d - 51. Let q be f(-15). Let o be (4\/(-6)*-6)\/2. Are o and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:22 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.077 + 34.923. Let u = 34.6 - b. Let k = 31 - 9. Put k, 3, u in descending order.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8721908 divided by -8721908?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23114404 + -1?\nAnswer: -23114410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/10)\/(12\/(-16)). Let l be (-4)\/(-5)*6\/12. Find f, given that -l + 0*f + g*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*1 + 0 - -2. Suppose 0 = 5*c - c - v. Suppose 0 = -2*d + 3*d + 4*x - 5, 0 = -c*d + 2*x + 20. Calculate the remainder when 16 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 1014574*p + 26379602. Determine b(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111231 (base 4) in base 15?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in -1\/6, -0.2, 0.3, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 242779.\nAnswer: -36416.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.0453 centuries in millennia?\nAnswer: 3.80453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 55, 52, 49, 46?\n\"Answer: -3*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 2. Let b(g) be the first derivative of -5*g**2\/2 - 2*g - 17. Determine 3*b(m) + 2*i(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:36 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1323 or 1324?\nAnswer: 1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 39) + 1 + (22 - 85 - -72).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36605 - -51584. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -35\/3, 1\/229, -3\/2, 11?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 2*n**2 + 0*n**2)*(-2*n - 13 + 13).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 510, -290, -3\/263?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10254 (b) 3 (c) 2\/707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -233*o**2 + 6*o + 3. Let i be y(-2). Let r = 783 - 1104. Let h = r - i. Round h to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 - -4689. Let p = x + -3456. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + 51 + (41 - 1) + -36?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**3 - 9*i**2 - 5*i. Let a(n) = -n**2 - 28*n - 3. Let g be a(-28). Let j(w) = -7*w**3 + 5*w**2 + 3*w. What is g*f(t) - 5*j(t)?\nAnswer: -4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 18a9a23?\nAnswer: 18a9a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1624 from 3.\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 32566?\nAnswer: 3\/32566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 67 = -2*x, 4*x + 2 = r - 7. Suppose -p - 4*y = -9*y + 10, 10 = 2*y. Let a = 39 - p. Calculate the remainder when a is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**5 - 55*u**4\/4 + 5*u**3\/3 + 55*u**2\/2 + 831. What is f in v(f) = 0?\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 - 14*c**2 + 2*c**3 + 19*c**2 - 9*c**3 - 10*c**2.\nAnswer: 4*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5755, 6163, 6845, 7801, 9031, 10535?\nAnswer: 12313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67706972.\nAnswer: 2, 16926743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.738 - 0.126166419.\nAnswer: -71.864166419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -204*o - 10. Let a be p(2). Let f = 864 + a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16229 = 712*k + 10115 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33646615 to the power of 1\/2, to the nearest integer?\nAnswer: 5801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 22\/5) + (-234)\/(-585).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*l + 19, n - 5*l - 28 = 1. Suppose -4*r - n = 3*k, -2*k - 9 = -4*k + r. What is the tens digit of (-92)\/k*((-4)\/8 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 4. Let w be ((-6)\/(-10))\/(a\/5). What is the common denominator of -13\/2 and w\/(-60)*327\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + o - 1. Let q be s(1). Let m be -1 - ((6 - 2) + -32). Let j = m + -24. Solve j = -3*t + q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.7 and 415.6726.\nAnswer: 421.3726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(539) + sqrt(11) + 0)**2.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w. Let t be h(2). Suppose t*x - 2 - 8 = 0. Suppose -10 = -b - 4*b. Calculate the remainder when x is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/31 + (2 - 1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 3dde?\nAnswer: -3dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25.36 at least as big as -91040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.2976ug to tonnes.\nAnswer: 0.0000000008832976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, 1\/2, -453, 0.\nAnswer: -453, -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*g = 0, -3*u + 4*g - 6*g - 34 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*d + 52*d + 81*d in the form s + b*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - 56.86577.\nAnswer: -25.86577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32537, 64879, 97221, 129563, 161905, 194247?\nAnswer: 226589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 - 375 = 14*f + 382 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/60 + (-3)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 57. Let m(i) = -11*i - 114. Let l(t) = 7*j(t) + 3*m(t). Let s be l(-26). Which is the second smallest value? (a) 3 (b) 0 (c) s (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2288 - 54931\/24. Suppose 5*x = -o + 10, 19 = 4*x - 6*x - 5*o. Calculate the common denominator of ((-66)\/88)\/((-4)\/(188\/x)) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350868431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19849934*b**3 + 460002459 wrt b?\nAnswer: 59549802*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0044 - -13?\nAnswer: 14.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**3\/3 - 3*c**2 + 3*c. Let j be a(4). Solve 0 = -u + 7 - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*h, 9*k - 4*k = -3*h. Suppose k = -5*w - 5*d - 10, -5*w + 4*d + 32 = 6. Suppose -w*b + b = -2. Solve 2*s = -b*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c**3 + 2*c)*(5*c - c - 3*c)*(3684 - 11644 + 5331 + (-2 + 3 + 0)*(1 - 2 - 1) + 2 - 3 + 0).\nAnswer: 2632*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:40 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 96.96727g?\nAnswer: 0.00009696727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408662 is divided by 366?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 495 + -425. Differentiate 93*l + z + 83 + 47 - 47 with respect to l.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19633641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - 9.82. Let h = v + 10.07. Let j = -2.67 + h. Round j to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21 and -95\/2568?\nAnswer: 17976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1*(6 - 5). Is (-2)\/u - (-1356)\/(-8)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 8, 9, 22, 53, 108, 193?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - d. Let k(v) = -474*v**2 - 5*v - 2. Calculate k(r) - 5*y(r).\nAnswer: -479*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1075*m**2 - 10. Let h(u) = -537*u**2 - 4. Let i(s) = 5*h(s) - 2*v(s). Let z(r) = 11*r. What is i(z(o))?\nAnswer: -64735*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 17 = 4*s + 3, 11 = -d + 4*s. Solve 5*v - 6 = -d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*g + 57*g + 241*g - 69*g.\nAnswer: 351*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Suppose 46 = 8*w + 6. Let z(v) = -56*v + 5. Let k(p) = -3*p + 25*p - 7 + 62*p. Let s(i) = w*k(i) + 7*z(i). What is s(f(h))?\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i - 15*i - 5*i**2 + 13*i + 68*i**5 wrt i?\nAnswer: 4080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - ((0 - -2) + -11 - (-40 - -27))) + -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6417736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {u: 2, b: 5, s: 7}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 296. What is l(36)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 9, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8294 divided by 2?\nAnswer: -4147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 23938537?\nAnswer: 3\/23938537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/146*1353\/(-8118).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from llmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - 8*o + 64. Calculate the remainder when 70\/o*(-252)\/(-49) - -5 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1578 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 11, z: 2, r: 2}. Give prob of sequence qri.\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-6) - (0 - 4\/(-6)). Let m be (2 + 0)\/s*(-17 - -19). Solve 3*o = 2*b + 2*o + 4, -3*o = -m*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.59 + 2631865820.\nAnswer: 2631865852.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279\/8 - 2407\/72. What is the common denominator of (-5)\/4*(-6)\/(-25) and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and -6.3938.\nAnswer: 5.6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j + 1. Let o be g(-2). Suppose -h = -3*h - 10. Sort -3, h, o in descending order.\nAnswer: o, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 2*h**2 + 5*h - 4. Let i be r(3). Suppose 0 = 3*f - 8*f. Suppose -3*q = -f*z + 4*z - 7, 5*z = -3*q + 8. Solve i*d - q - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -2*j + 3*r, -4*r - 12 + 0 = 0. Let b = 55 - j. Suppose -28 - b = -3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1962 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -3) + 4)\/((-8)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y. Suppose 2*b = 5*g + 15, y - 15 = 2*b + g. Let n(a) = -19*a + 2. Is n(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(2\/((-15)\/(675\/36)*5))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.59 and -62098907866.\nAnswer: -62098907868.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-28)\/(-42) + (-4)\/(-3). Suppose -48 = -5*g + m*r - 4, 4 = -2*r. Solve p = -g + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020328984 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0 - -3)\/1. Let n = -3 + s. Is n > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 479 in -6, -35, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**(-2\/69))**9*(d**1)**(-18\/11)\/((d**(-1)\/d*d)\/d)**6 assuming d is positive.\nAnswer: d**(12978\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2176, 4360, 6544, 8728?\n\"Answer: 2184*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/30 - 17*t**5\/3 + 59*t**4\/2 + 174*t**3 - t**2 - 7*t - 97. What is m in h(m) = 0?\nAnswer: -87, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 10)*(8 - 7). Let f be -1 + (k + -3)\/2. Find the second derivative of 0*b - 2*b**2 + 8*b**f - 8*b wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 9 - (2 - -10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2279253661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 0 - 1\/2*k**2 - 23*k + 1\/6*k**3. What is w(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-7 - (-1 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 32 = -3*h + h, -h = j + 10. Let a be (0 + -3)*2\/h. What is the least common multiple of 4 and ((-5)\/10)\/(a\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 46. Suppose 5*m - m = q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 252669.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -24 + 10. Suppose -x = a*w - 16, 5*x = -3*w - 44 + 124. What is the second derivative of x*u**3 - 16*u**3 - 9*u - 13*u**5 wrt u?\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let k(g) be the third derivative of -35*g**4\/24 - 6*g**2 - 4. Calculate k(c(f)).\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133956807.\nAnswer: 3, 23, 1941403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29725256 divided by -8.\nAnswer: -3715657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + t**4\/12 + t**3\/6 + t**2 - 7*t. Give z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -343.1 - -343. What is the third biggest value in g, 3, 64?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - 2*d**4 + d**4)*(-5*d - 5 + 5) - 28*d**4 + 458*d + 461*d - 921*d + 2*d**5 - d**3.\nAnswer: 12*d**5 - 28*d**4 - d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 4*q + 7. Suppose 32 = -5*l + 3*r, -2*r = -3*l + 5*l. Let y be p(l). Solve -3*o + y - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine fifths of a hour?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-170)\/2380)\/((-2)\/2))\/((-24)\/7)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 + 268. Suppose x = -9*s + 284. Solve 0 = -21*a + s*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 - (66443\/31464)\/((-122)\/(-33) + -4) and 77\/2208.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -111. Let h(b) be the third derivative of d*b + 1\/30*b**5 + 0 + 0*b**4 + 1\/30*b**6 + 2*b**2 + 0*b**3. What is the third derivative of h(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.3376 to one decimal place.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 130\/15*(-6)\/(-4). Suppose 0 = 4*r - 3 - s. Is 8 a factor of (0 + r - 1)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28754668 to the power of 1\/2, to the nearest integer?\nAnswer: 5362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -633*t**2 - 138*t**3 + 1892*t**4 + 274*t**3 - 136*t**3 + 118*t**4 wrt t.\nAnswer: 48240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13688 + -4756. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1046320 and 8200.\nAnswer: 5231600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 37\/(-7). Let g = -9.03 - -8.93. What is the closest to g in f, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13.00000036. What is b rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 724*u + 50. Let n be w(1). Calculate the greatest common factor of n and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087 - 725 = 453*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -997\/7 + 142. Let w = -17 + 19. Suppose 2*r - 2*l = -20, 2*l - l = -w*r - 5. Which is the third biggest value? (a) x (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4333817*b + 10. Let g be h(-18). Suppose g = 4*c - 55135904. Let y = 47186155 - c. Round y to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/4 + 111*d**2\/4 + 231*d\/4 + 117\/4.\nAnswer: -3*(d - 39)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 18 = -b, -6*b = -3*k - b - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 3\/2*-4. Let p(f) be the second derivative of f**4\/6 + 5*f**3\/6 - 19*f**2 + 87*f. Let m be p(-6). Solve -20 = u*o + 6*n - n, n = -m*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1609*h - 440 + 100 - 1609*h + 340 + 13*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = -0*b - b, 3*b + 21 = 3*d. Put 11, 2, d in decreasing order.\nAnswer: 11, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*j**2 + 325 + 251*j**2 - 137*j**2 in the form g + y*j**2 + o*j and give g.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12088 - 12075. Solve 0 = h - 2, 3*t - 19*h + 17*h + w = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*u - u + 3*u)*(3 - 3 - 2) - 2*u + 2*u - 3*u)*(-2*u + 0*u - u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4882 - 5056 = -4*f - 2*u, 10*f - 2*u = 428 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, i: 2, r: 2, y: 1}. Give prob of picking 1 i and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 - 1159*i + 1072*i + i**3)*(-2*i + 2*i + 2*i).\nAnswer: -6*i**4 - 174*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 55\/(-20))*596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12310 is divided by 145?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 44*w - 164, 0 = -36*d + 35*d - 4*w + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20608 (base 10) to base 11.\nAnswer: -14535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/6 + -3)\/(-1*(-4)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -14*b + 11*b. Let c = 6 + -6. Suppose c*s = s. Put s, b, 6 in decreasing order.\nAnswer: 6, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*i - 3*a, -i + 4*a - 9 = 1. Suppose -i*z + 17 = -z. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*l**3 + 2190*l + 26833 with respect to l.\nAnswer: -87*l**2 + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-32)\/1776). Let d = n - -31. Is -5 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/22 + 204\/132.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 903416.0633 to the nearest 10.\nAnswer: 903420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 178 - 151. Let y be (-7)\/((-6)\/(-9) - 1). Let b = q - y. What is the least common multiple of 2 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 + 1236*v**3\/7 + 62856*v**2\/7 + 1108080*v\/7 + 6578496\/7.\nAnswer: 2*(v + 18)**3*(v + 564)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/216*2)\/((-2)\/12). Which is the biggest value? (a) p (b) 5 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*y + 3*f - 99, -6*y = -8*y - 4*f - 6 + 48 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*t + t + 4*d, -t - d = -63. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 43*m + 12. Calculate z(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1871a28?\nAnswer: -1871a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 12*p - 5. Suppose -3*w + 3*v - p*v + 60 = 0, 0 = -v. Find the second derivative of 13*g**3 + 13*g + 6*g + w*g wrt g.\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -15608?\nAnswer: -15612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*v + 3 = 0, 7*b - 5*v + 3123 = 11*b + 3118 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let z(h) = -7*h + 6*h + 6*h. Determine o(z(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/19))**11 assuming v is positive.\nAnswer: v**(-11\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1380)\/80)\/((-4)\/16). What is the greatest common factor of 2967 and n?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.415\nAnswer: 0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f**2 + 6. Let d(u) = -17*u**2 - 9. Let v(o) = 2*d(o) + 3*q(o). Let w(t) = 2*t. Calculate v(w(j)).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31874072.\nAnswer: 2, 3984259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(38\/7)\/(c*c**(2\/9)\/c)**(2\/81)*(c**(1\/7)\/(c\/(c\/(c**9\/c))))\/(c\/(c*c\/((c*c**(-1\/10))\/c))*c\/(c\/c**(-3)*c)) assuming c is positive.\nAnswer: c**(136043\/51030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 - -56) - -25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1597*p**3 - 156*p + 317*p - 162*p to a*p**3 + s*p + r + c*p**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1\/9*-2. Let x(g) = 3*g - 4. Let a be x(3). Let f(d) = -d + 4. Let p be f(a). Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405325950 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/7560 and -119\/7254.\nAnswer: 3046680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.039938 milligrams in grams?\nAnswer: 0.009039938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 12. Let i be h(8). Suppose -2*a + i - 2 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 8*v - 14. Let z be k(6). Suppose 18 = -z*i + 11*i. Let j(y) = i - 18 + 5*y**2. Let r(s) = -s. Calculate r(j(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198469 is divided by 1365?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05686 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62915248 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40252 (base 8) to base 11\nAnswer: -1148a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/768)\/(8\/(-3))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/2 - 6*l**4 - 75*l**3\/2 + 341*l**2 + 1452*l = 0. What is l?\nAnswer: -6, -4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 2*p**3 - 9*p - p.\nAnswer: -2*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*l = 447*l + 536*l - 10260 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1406*s**5 - 3066*s**2?\nAnswer: 84360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 13*h - 42. Let n be k(16). Suppose -9*a = n*a - 315. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 - -5 - (-6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.0085, 10\/9 in descending order.\nAnswer: 10\/9, 1\/3, 0.0085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.6. What is the smallest value in -2\/7, 0, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 - 5710937*y\/6 - 2855468\/3.\nAnswer: -(y + 1)*(y + 5710936)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -4\/143 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = y - 19494, -5*p + 5*y = 7*y - 19498. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/2 + 16*y. Let x(l) = -l**2. Calculate m(x(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 + 0 - -4) + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 13*v + 42*v + 3*v**3 - 79*v + 50*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 137. What is the third biggest value in -0.2, z, 3.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047 (base 10) to base 5.\nAnswer: -13142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99 - 76) + -14 + -78.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s + 81*s + 6 = 2*l, 25*l - 2*s - 23 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 6 - 0. Let o be -25 - (l + (4 - 2)). Let k = 22 + o. Is -2\/43 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39845\/83856 + 7\/1747. What is the common denominator of (-78386)\/(-17248) + (-1)\/(-7) and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*68\/425*40.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149\/12 - -38\/3. Factor o*m**4 + 0 + 3\/4*m**3 + 0*m**2 - m.\nAnswer: m*(m - 1)*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*y + 336*y + 527 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 6784*o - 2372316.\nAnswer: -4*(o - 1203)*(o - 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.1, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwwmacwgacwwmcmmw. What is prob of sequence ay?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 449669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25967, -25990, -26015, -26042, -26071, -26102?\nAnswer: -26135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*x - 8*x = 35, -4*o + 36 = 4*x. What is the second derivative of -o*z**4 - 8*z + 6*z - 9*z**4 + z**4 wrt z?\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16757000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 138 = -76. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15416.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + -10.12. Let h = o - -9. Suppose 5*p = -k + 14, -2*k - 4 = -5*k + 4*p. What is the closest to h in 0.3, 1\/3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 6*b - 4*b)*(-b - 2 + 2) + b + b**2 + b + 0*b + (493 - 493 - 24*b)*(b - 7*b + 3*b).\nAnswer: 71*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 241200 rounded to the nearest 1000?\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + 19*j - 35*j as x + p*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1046500 - 0.01.\nAnswer: -1046500.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 2 + 1)*30\/(-4). What is the highest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 253*h**6\/15 + h**5\/20 - h**4\/24 - h**3\/3 + 5*h**2. Let l be d(2). Round l to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 + 2*m. Let z(c) = c**3 - c**2 - 4. Let w be z(0). Let y be (w - -2) + -1 + -10. Let h = 15 + y. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 5:39 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n - 2*n - 9 + 45*n**2 - 7*n - 4*n in the form s*n + g + z*n**2 and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(-315)\/42\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p + 2*p. Let d be (-3)\/(-6) - ((-25)\/p)\/(-5). Suppose -3 = -n, 0*w - 4*n = 5*w - 7. What is the biggest value in d, -4, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 6:22 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*l + 2, 0*l = 3*l + 4*v + 31. Do -3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:04 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/11 - -40\/33. Let g = -190 + 193. Determine x so that -q*x**2 - 1\/3*x**g - 4\/3 - 8\/3*x = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 11. Let s(t) = -23*t. Determine u(s(g)).\nAnswer: 69*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 2*w - 16 = -7*a, 0 = 4*a + w + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 2382195699240?\nAnswer: 2382195699240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 25. Let q be (5\/((-40)\/12))\/(3\/(-2)). Suppose -b + q = -2*r + 4, 2*b = -2. Put 1\/7, -5, g, r in decreasing order.\nAnswer: g, r, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/4900*40)\/(2\/(80\/2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 133614?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 + 300. Solve 0 = -q*n - n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1573 and 84409?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1271*w**3 - 2526*w**3 + 1270*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 10 = -p - 0*s, 3*s + 20 = -17 - 9 + 58 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36033992 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 6, u: 3, y: 2, s: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - w**2 + 9. What is the units digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s + 3*h + 7, s - 25 = 5*h. Let c = 2 + s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-2286776.\nAnswer: 457355.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k**(-1)\/k)\/k)\/k*k*k)**35*(k**(1\/3)*k)\/(k**(-2\/11)\/k))**(-2\/53) assuming k is positive.\nAnswer: k**(2144\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793867638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 7, 2, -3?\n\"Answer: -5*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Let k = 1 + i. What is the lowest common multiple of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2 - 3*-5). Let l(w) = -5*w - 3*w - u + 0*w - 7*w. Suppose 14 = -2*o - 12. Let i(p) = 7*p + 6. Determine o*i(m) - 6*l(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25737, -25744, -25751?\n\"Answer: -7*m - 25730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3324, -6841, -10358, -13875?\nAnswer: -17392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 19*j**2 - 17*j - 1. Let l be x(18). Solve -l = 6*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - u)*(3*u**2 + 11 - 11).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -1223169.47?\nAnswer: 171243.7258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*j - 27 = 0, 3*p + j + 24 = 20. Let y = -1 + 1. What is the closest to p in y, -0.5, -1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1051 - 892091*n**2 + 1587*n**3 + 892091*n**2 wrt n.\nAnswer: 4761*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 46\/9, 7, 3.3, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8402, 16537, 24672, 32807, 40942?\n\"Answer: 8135*k + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1963 times 13608\nAnswer: -26712504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2528*u - 4684*u - 11 + 2605*u + 10.\nAnswer: 449*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 480821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426 by -1.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-149)\/10 - 555\/(-37)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:18 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 5*h + 6. Let d be q(-5). Suppose -8 = 3*a - a. Let l be 5250010\/(-15) - a\/d. Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, 9, -21, -3, -1 in descending order.\nAnswer: 9, -1, -3, -21, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 11. Let l = -52 - -48. Let u(j) = 5*j + 11. Let g(i) = l*u(i) + 5*p(i). Differentiate g(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757332.4ug in nanograms?\nAnswer: 757332400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46294 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9982 - -9982.2. Which is the biggest value? (a) -2 (b) t (c) 0 (d) 8 (e) -3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/180*-327 - 4\/48. Solve z - 15 = -6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5 + g**4 - 14*g**3 - 24*g**2 = 0.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 31967*f + 1694394. What is w(-53)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m = -57 + 25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 1, d: 5, p: 4, w: 3, c: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35424 is divided by 1464?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1866 and 21.\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.18 (b) 0.2 (c) 0.151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let t be 1*(x + (-81)\/(-1)). What are the prime factors of (-6)\/15 + t\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-11 - (1 + -18) - (4 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 520987 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.3 - 82. Let w = h + -6.299798. Round w to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037120741 to the power of 1\/4, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209)*4 - -3*sqrt(209)*2)\/(((sqrt(11) - sqrt(33)\/sqrt(3))*1 - sqrt(11)) + sqrt(704) + sqrt(704)*-1) + 4.\nAnswer: -14*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/78 and 4\/160719?\nAnswer: 321438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(468) - (sqrt(468) + -3 + sqrt(468) + -4))**2 + 5.\nAnswer: -3096 + 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 + 5*l + 3. Let j be u(5). Let d(h) = 2 - 6 - j*h + 10. Let p(n) = 1. What is -d(o) + 6*p(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.39 - 0.14. Let g = 0.25 - x. What is the nearest to -1 in g, -4, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 44.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 280*b**3 - 2*b**2 - 2*b - 1. Calculate m(-1).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1546\/21 - 223\/3. Let z = -29 - -50. Find the common denominator of (-417)\/21*(-6)\/216*z and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-39)*(-1 + 4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 + m - 3. Let g be v(5). Suppose 3*x = i - 5*i + 321, -5*x = -3*i + 219. Let z = i + g. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1\/(-2) + 3)*64\/20 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 37448*t**2 - 3 + 3 - 37441*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) + (-408)\/(-102). Let s be y*5\/(-15)*(-135)\/258. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 52\/54703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 5*q + 5*p = 6, 2*p = 5*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 4. Suppose q*v = 3*v + 3. Which is the nearest to 0? (a) v (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1516040 and 73\/60240?\nAnswer: 9096240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 1620*g**3 + 9864*g**2 - 58832*g + 65280 = 0. What is g?\nAnswer: -10, 2, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087594.258 rounded to the nearest one thousand?\nAnswer: 1088000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 80*g**3.\nAnswer: -5*g**3*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110001111 (base 2) to base 9.\nAnswer: 14802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4, 2*b - 8385 = 6*k - 8379 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 29*s**2 - 14*s - 15. Determine j(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + m**2 + m - 1. Let x be n(1). Let i be 6\/x*(-20)\/6. Let w = -1519 - -1522. Is w less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -101, -182, -293?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 735 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.71 - 2.76. What is the fourth biggest value in 3\/4, -5, v, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - -101?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 1049 + 131 = 0. Find the second derivative of o + 0*f - 14*f - 152 + 39*f**4 - 4*f**4 wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -15. Let v = 3.1 + 0.9. Let n = 2 - 2.2. What is the closest to n in -2\/23, s, v?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -21)*(40\/(-70) + 1). Solve 2*m - 6 = 0, -2*f - 4*m = f - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:43 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*m - 8, 3*m + 3 = -0*m - 3*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 + 180. Let c be (-3 + -92 + 4)\/(g - -1). Which is smaller: c or -90?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 + 8*n**2. Let a(u) = -u**3 + 4*u**2. Let w be 4\/(-2)*2 - 1. Let p(r) = w*f(r) - a(r). Factor p(h).\nAnswer: h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1843324 = -126*o - 64*o + 18*o. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196273841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 36*o + 2223 = 0. Let v = -117 - o. Solve 2*h + 3 - 7 = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 4)*5 + (sqrt(243) + sqrt(243)*-2)**2.\nAnswer: 5*sqrt(3) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7562 - -7568. Let v be (-1 - 1)*(-7)\/2. Solve -d*b + v*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 22*v - 22 + 25 as w*v + j and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/2035?\nAnswer: 3\/2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 4*d + 18 = 15*v, -v + 5*d = 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m + 6 = 0. What is the common denominator of m\/((-18)\/(-183)) - 3 and (-1344)\/(-1320)*5\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -25*s**2 + 201*s - 46. Give r(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*g**2 - g**3 - 1101*g**2 - 82*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330448 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: Let u(r) = -r**3 - 4*r**2 - r + 1. Suppose 0 = p + 3, 1 = -2*v + p - 0*p. Let y be u(v). Let i(g) = -g**3 - 6*g**2 - 7*g - 5. Is 4 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313630.5 decades in centuries?\nAnswer: 31363.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2, -5*i - 2*v + 14 = -3*i. Let p(b) = 8*b + 9 - i*b + 7*b. Let k(f) = 6 + 2*f - 2 + 2*f. Determine -7*k(g) + 3*p(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -129. Suppose 3*b + 2*b = -15. Sort p, 2, b, 27 in increasing order.\nAnswer: p, b, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9340 by 467.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 12*z = 24 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 2*g. Let p = -5 - -7. Let j(r) = 4*r**2 + 6*r + 1. Let v(w) = w**2 + 1. Let h(y) = -j(y) + v(y). Let c(l) = p*h(l) - 7*z(l). Factor c(m).\nAnswer: m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -154, 2, -24 in descending order.\nAnswer: 4, 2, -24, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5 (c) 2 (d) -23 (e) -0.5 (f) 2\/1041\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 6, -99?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 102*n**2 - 657*n - 981. Give i(-108).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108025410 is divided by 151.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17*n = 252. Let o be (1 + 2)*(-72)\/n. Suppose -3 = -m - 1. Solve j - o = -m*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722 + 720. Let i = -15.5 + -9.7. What is the smallest value in i, l, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 1. Suppose -2*y = x - 4 - 0, 4*x - 4 = -a*y. Find the third derivative of 5*k**5 - y*k**2 + 3*k**2 + 7*k**2 wrt k.\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39893922 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31346 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -61*((74 - 295) + (-3 - 1)). Calculate the greatest common factor of 675 and w.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-1)\/(-4)) + 3. Let u be -1 + 23 - (b - -3). Suppose -4*j + u = -3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129.805 - 129.544969. Let y = 0.05 + -0.31. Let j = b + y. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 - 1.59. Let g be -2*(-2)\/(-18) - 55\/90. What is the third biggest value in i, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12783064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 455, 1658, 3799, 6992, 11351, 16990, 24023, 32564?\n\"Answer: 19*m**3 + 355*m**2 + 5*m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2 + (-2025)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c + 9, c = 3*n + 7. Put 0.5, -208, 3, n in descending order.\nAnswer: 3, 0.5, n, -208","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23345 - -41374. Is l a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142758347 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203585*m**5*p - 2530*m**3*p - m**2*p + 141*m*p - 4435*p - 13 wrt m.\nAnswer: 12215100*m**2*p - 15180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*(35 + -52) - 6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 + w - 79. Let o be z(0). Let j = 4 - 3. What is the second biggest value in 1\/4, j, o, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978357 is divided by 33717?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**5 - 128*f**4 + 16808*f**3 - 262048*f**2 - 575012*f - 296032 = 0.\nAnswer: -88, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2982 and 14217?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -42. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmwwwwwmmwwwwwwww. What is prob of sequence mwm?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 - 2*c**3 + (-3*c**2 - 4*c**2 + 3*c**2)*(-6*c + 3*c + c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 37 + 35 - 67 - 3*k**2 + 2*k**2 - 4*k. Suppose 4*m + 667 = 643. Determine g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5 - 11*q**4 + 95*q**3 - 125*q**2 - 94*q + 136 = 0. What is q?\nAnswer: -17, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 119894 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*t, 5*v - 5*t - 5 = -0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:07 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 5. Determine v(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*v + 4 - 1, 2*v = -q + 13. Let d be -10 + 6\/v*-3. List the prime factors of (4\/(-3))\/(2\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90635, -181015, -271395, -361775, -452155, -542535?\nAnswer: -632915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15632 and -0.09?\nAnswer: 0.0140688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137081 - 93*d**3 + 137081 + 13*d**3.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-27188))\/((-11)\/1003706). Let r be ((-4)\/6)\/(7768\/24). Let x = r - j. Calculate the common denominator of x and 77\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28758514, -57517026, -86275538, -115034050, -143792562?\n\"Answer: -28758512*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20 = 7*u, 3*m - 26 = 4*u. Let t(r) be the first derivative of -8 - 3*r + 3 - 6 + r**m - 7*r. What is t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p + 10. Suppose 24 = p*y - 0. Calculate the least common multiple of 20 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:09 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -60. Let k(c) = c**3 + 21*c**2 - 12*c + 5. Is k(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 54\/5 of a kilogram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, 1 t, and 1 g when four letters picked without replacement from jitgneijnin.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4032 years?\nAnswer: 0.0004032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*t = -4, -o - 2*t - 2 = -0*t. What is the tens digit of (2 + -3 + o)\/(1\/67)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 11*v + 1. Let r(j) = -j**3 + 24*j**2 - 43*j - 22. Let y be r(22). Give o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - x + 225, -3*l = l + 4*x + 468. Let u = -83 - l. Calculate the remainder when 56 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 - 1\/96*o**4 - 1\/80*o**5 - 1\/160*o**6 + 0*o + 0*o**3 - 1\/840*o**7 - o**2. Factor r(c).\nAnswer: -c*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6 + 0 + 0 - 24*w**2 - 4*w**2 - 10*w. Let f be z(-6). What are the prime factors of (f\/(-72))\/((-2)\/(-16))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645038926 to the power of 1\/3, to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -341 - 0?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 6, i: 2, e: 1, k: 1, v: 2, b: 7}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*sqrt(18) + (sqrt(2) + sqrt(18)\/sqrt(36))*-2 - (sqrt(64) + (-2*(sqrt(64)*-1 - sqrt(64)) - sqrt(64)))\/(sqrt(2)*1*6))**2.\nAnswer: -56*sqrt(2)\/3 + 1577\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:40 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 3*a + 4. Let n(v) = 4*v**2 - 1. Suppose -2*j = -5*p - 7, 4*p - 4*j + 5 = -3*j. Let x be n(p). What is the units digit of o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {r: 5, j: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29 - 2 - -2*(-3)\/(-6). Let d be ((-105)\/14 - -6)\/((-2)\/b). Calculate the greatest common divisor of d and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/160 and -67\/7328?\nAnswer: 36640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -256307, 6, 35\/6 in increasing order.\nAnswer: -256307, 2, 35\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 3 (b) 29 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9996 and 38142237?\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -125. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -11650.\nAnswer: 7\/2330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5908.7 plus -1?\nAnswer: -5909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-18)\/1872*-61912 + (-4)\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(22\/(-12)) - -1 - 3. Suppose q*w + 10870 = 14*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(21\/(-6) + 3). Suppose -5*p - i*v + 19 = 5, 6 = -2*v. Solve -3*b - 31 = 5*z, -2*z - 14 = -p*b + 6*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -u + 68. Suppose -17*x = -12*x + u. Let f = x - -40. Let r(a) = 2*a + 1. Give r(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 1.4. Let i = m - -0.8. Let o = -0.1 - i. Is o <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 11. Let x(v) = 6*v**2 - 3*v - 3. Let y be x(-1). Let n(g) = 3*g + 5. Calculate y*h(p) + 13*n(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q + 32 = 0. Let i = q - 8. Solve 2*y + 2 + 4 = i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f - 5. List the prime factors of q(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o - 8. Calculate v(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 21*u**2 - 20*u + 2. Let l be k(20). Suppose -24 = l*t - 6*t. Let y(o) = o + 13. What is the smallest common multiple of y(-11) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 44. What is the tens digit of v(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -9\/2*w**2 + 8\/3*w**3 + 6*w - 4 + 1\/4*w**4. What is the units digit of u(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/(q*q*q**(2\/9)))\/((q*q*q*q**(-6\/7)\/q*q*q)\/(q**7\/q)))\/(((q\/(q\/(q\/q**3)))\/q)**(-8))**3 assuming q is positive.\nAnswer: q**(-4307\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6ba + -33254?\nAnswer: -33952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0 + 1)*4. Let w(u) be the first derivative of u**3\/3 - u**2 - 4*u + 2. Is w(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24701220 divided by 1372290\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.817*-3.\nAnswer: -11.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 + -2288887.\nAnswer: -2288886.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - 2*o - 10. Let b be a(4). Put -1, b, 93 in increasing order.\nAnswer: b, -1, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 = 5*c + 10, 3*m = -2*c + 8. Let l = -26 - -41. Let q = 57\/4 - l. What is the nearest to q in c, -0.1, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83 and 0.121?\nAnswer: 10.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 20. Let c = -5 - h. Suppose c*d + 5*q + 4 = 0, 2*d + q - 20 = 2*q. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 10*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 20?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -485*(-42)\/1560 + -14 and 37\/80?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 3. Let u(s) = -s**2 - 21*s + 3. What is u(h(p))?\nAnswer: -169*p**2 - 351*p - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 1146985*w + 1146990.\nAnswer: -5*(w - 229398)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1478469 rounded to 4 dps?\nAnswer: 0.1478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2943779\nAnswer: 5\/2943779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604659 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 497833.9 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*j - 13, 5*j - 2 = 2*r - 27. Suppose -39 = -3*h - 24. Is h equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(1\/5)\/d))\/(d**(-1\/2))**(-26)*d**1\/(d\/((d*(((d\/(d*d*d*d**3*d*d*d))\/d)\/d)\/d)\/d*d*d))*(d*d\/d**(-2))\/d**(-2\/3) assuming d is positive.\nAnswer: d**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or 7409?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -1\/3 (b) -20 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 553 = 5*x, -4*x = 38*t - 34*t - 2332. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7384 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2122 + 2122 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 51\/4. Put p, 0.1, -4, -2\/17 in descending order.\nAnswer: 0.1, -2\/17, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -443, -1049, -1897, -2987?\n\"Answer: -121*o**2 - o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18 = 2*f. Solve -4*y = -5*p + 1, p - 2*p + f*y = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**2 - 6*r**2 - 2*r**2 + 3*r**4 - 16*r**4 wrt r?\nAnswer: -312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -4. Let x = 14 + m. Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -20435*i - 653928. Give g(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*g = 8, -5*t - 8 = -10*t + 2*g. Let f = 12 + -10. Let p be 0 + (4 - (-1 + 2)). Solve t = f*z - p*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2163332110573\/11568 - 561030415\/3. Let r = -1617\/16 - f. Let d = r - -16581\/964. Find the common denominator of -31\/6 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca66 (base 16) in base 11?\nAnswer: -35a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 109? (a) -3\/8 (b) -2\/7 (c) 76 (d) 3\/368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145553 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 + 167*m**2 - 122*m - 1. Calculate w(41).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/25)\/(x*x**9))\/(x**4)**(3\/4) assuming x is positive.\nAnswer: x**(-323\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -277?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r - 5. Let z(x) be the first derivative of -x**3\/3 - x**2\/2 + 7. Let n(t) = 2*t**2 + 3*t - 3. Determine r*n(d) - 3*z(d).\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2 + 3*c + 9. Let p(t) = 4*t**2 - 2*t - 4. Let r(q) = 17*q + 574. Let n be r(-33). Give n*p(j) + 6*h(j).\nAnswer: -2*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 - 11*l + 2. Let d be i(12). Find the common denominator of 91\/22 and (-261)\/336 + (-4)\/d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 878 = 108. Let k be 4\/(-22) + 1876\/x. What is the first derivative of -k + 4 + 8 - 12*b + 2 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/31 and 15\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/35 and -23\/525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -122358 rounded to the nearest one thousand?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let p be (y\/(-7))\/((-24)\/42). What is the nearest to p in 3, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-36)\/21)*-1. Let t = -0.22 - 2.78. Which is the nearest to 0? (a) t (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.6. What is the closest to 1 in 2, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7395 = -5*p, 4*f + 2*p - 4615 = 5259. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -1, 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139370 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 3 (c) -25 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67975937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (-5 - 368) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) 0 (c) -3 (d) -1.3 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 5*r**3 + 8*r - 5. What is the first derivative of z(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571025 (base 14) in base 2?\nAnswer: -1011010010110110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10034 or 10033?\nAnswer: 10034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035474939 to five decimal places.\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let g(i) = 92*i - 14. Let p(w) = -g(w) - 4*m(w). What is the units digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 13) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1825 - -2969. What are the prime factors of y?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11062333, 22124628, 33186923, 44249218, 55311513, 66373808?\nAnswer: 77436103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8976, -17950, -26922, -35892?\n\"Answer: i**2 - 8977*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + x + 2. Let k be (-56)\/26 + (8\/52)\/1. Give h(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 6. Suppose p - 2 = -0*p. Suppose 3*y = -f - p*f + 3, 5*f + 3*y = 11. Let q be o(f). What is the greatest common factor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 252771*b**2 + 7585830*b = 0. Calculate b.\nAnswer: -30, 0, 84287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.613 + -0.013. Let p = f - 9.5999844. What is p rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59*m + 1660 - 1660)*(-2*m + 2 - 2 + (-3 + 4 + 6)*(-4*m + 8*m - 2*m)) as t*m**2 + a + u*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 1b81d2?\nAnswer: -1b81ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Let l be 5*(-32)\/(-60) - (-12)\/36. Let c(s) = -s + 1. Give l*i(r) - 2*c(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 0.02, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 319697214, 639394429, 959091644, 1278788859, 1598486074?\n\"Answer: 319697215*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34314 + -34313. What is the smallest value in 5, 1046, -2, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, 105, 156, 201?\n\"Answer: -3*b**2 + 66*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:38 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 2\/7, 2, 6\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f + 98. Let u be a(-11). Suppose u*v = 20*v + 889. List the prime factors of v.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d + 71. What is n(-10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4123 + 7*a + a**3 + a**4 - 2064 - 2057 - 112*a**2 in the form j*a + d*a**4 + l*a**3 + p*a**2 + v and give p.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -y. Let d(f) = f. Let b be d(y). Find the third derivative of -4*t**5 + 3*t**2 + 7*t**5 - b*t**5 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*a + 37 - 1130*a + 567*a - 13*a**3 - 37.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4581 - -4581. Solve b = -8*p - 35 - 13 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 511.7239 milligrams?\nAnswer: 511723.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/8 + 63*r**2\/2 + 5073*r\/8 - 666 = 0.\nAnswer: -48, -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054549261 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239\/2451 + 1\/129. Let b = -236.9 + 249. Let u = b + -12. Put u, y, 7 in descending order.\nAnswer: 7, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 6:30 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 5. Suppose -2*d - 3*b = -b - 10, -g*d + 13 = -b. Suppose -d*f + 149 = 3*o + 2*o, 2*f - o = 121. Calculate the greatest common divisor of 87 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**3 - h**2 - 1337*h - 2679. Calculate m(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85787 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/((-9)\/(-2)))\/((-2)\/3). Let d be (20\/(-8))\/(q + (-21)\/(-24)). Solve 0*l - 25*l**2 - 115*l**4 + 120*l**4 + d + 0*l = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17855593.\nAnswer: 7, 17, 227, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 + 132 + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12313 - 12318. Let l = -10 + 18. Let z be l\/10*1\/4. What is the nearest to z in 2, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465190987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561737908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -43. Sort i, -3, 5, 3 in descending order.\nAnswer: 5, 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(1\/(-4) + 0). Let j = x + -3. Suppose j*h - h - 44 = 0. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 - -378. Let j be n\/3 - (-3 - (-33)\/9). Suppose 4*u - j = 3*z, -u + 81 = 2*z + 3*z. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1617364343?\nAnswer: 1617364346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h**3 + 11*h**2 + h - 507 wrt h.\nAnswer: -228*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1352, -1356, -1344, -1310, -1248?\n\"Answer: a**3 + 2*a**2 - 17*a - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 11. Let p(l) = 7*l**2 + l - 1. Let s be p(1). Let m be i(s). Let x be (-9 + 26 + -21)\/(0 - 1). What is the closest to 1\/2 in x, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -13\/3*y**3 - 14*y**2 + 23*y + 0. Find the first derivative of k(w) wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -474*f + 1405. Calculate l(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*n + 2*l, -5*l - 11 = 4*n - 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 24*f - 2. Let i(o) = -o. What is h(g) - 2*i(g)?\nAnswer: g**2 + 26*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.8 or 15883?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18525068 divided by -59?\nAnswer: -18525068\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x. Let g(l) be the third derivative of l**5\/30 - 7*l**2. Give g(j(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 27*n**2 + 131*n - 30. What is the smallest common multiple of f(5) and 975?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.5 * 0.4.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2198*d + 969*d + 993*d)*(-2 - 34 - 53 - 14)*(-1 + 1 - 1) to the form b*d + t and give b.\nAnswer: -24308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42921 times 14\nAnswer: -600894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3624 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -19. Let s = 724\/969 + -11105\/13566. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from rhrhrhrhhrhhhhhh?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326563431\/837067681 - 25017\/63503. Let q = 2\/671 + m. Let z = q - 125965\/19016. Calculate the common denominator of 77\/20 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(704) + 0)**2.\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/30 + z**5\/5 - 2*z**4\/3 - 1208*z**2. Find q, given that h(q) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34120233083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from kkkkjjkkjkkkkjjkkkkk.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by -32?\nAnswer: -155\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*z**2 + 79786764*z + 14735943772203 = 0. Calculate z.\nAnswer: -2216299\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 5*z + 60. What is the units digit of j(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x + 3. Suppose -2*z + 3 = -z + a, 0 = -4*a. Let w be o(z). Suppose w*y - 6*y = -207. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = -2*h - 3, 2*o - 5*h - 4 = 0. Suppose 0 = o*y - 2*y - 650. Suppose -7*c + 199 = -y. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 8*n - 55. Solve -4*m + 9 = -5*c, 0 = 4*m + c + n*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4.1. Let i = o - 0. What is the closest to 0.2 in 0, 3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/15, 3, 2\/13, 262 in descending order.\nAnswer: 262, 3, 2\/13, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvhjtvtjsmvtvt. What is prob of picking 2 j, 1 m, and 1 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 109?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119 + 1427 + 536 - 1516*a wrt a.\nAnswer: -1516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13819 + 1925 = -4*q, -q - 7872 = -2*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.104 + 0.068. Let w = j - 1.632. What is w rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-2) + 25 + 2*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + ((78\/6)\/(-13))\/(-1)*-9.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-12) + (1 - 6\/(-4)). Solve -2*m = 4 + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 64, 132, 248?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**3 + 36*u**2 - 619*u - 656. Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2.2, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 63*n**2 - 222*n - 288.\nAnswer: -3*(n - 16)*(n - 6)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*u = -0*t + 9, u - 1 = 0. Let j(p) = 2*p**3 - 5. Let q(r) = r**3. Determine t*q(s) - j(s).\nAnswer: -s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 38. Let d(w) = -2*w**3 - 3 + 2*w**3 - w**3 - 2*w - 2*w**2. What are the prime factors of d(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200 - -216.8. Let c = b - 17.255. Round c to two decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 80 = 0. Let p = q - -31. Let y = -11 + p. Solve 9 + 3 = y*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2)\/i)*i*i\/i**(-12))**(6\/11))**(1\/4) assuming i is positive.\nAnswer: i**(51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/51 - 121\/255. Suppose -2\/5*z**2 + 0 + o*z = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -2 + 2)\/(-4). What is the nearest to o in 1\/7, 3, -3.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 2. Let v = 411 + -413. Let h(f) = 3 + 1 - 1 - 2. Give v*x(s) + 6*h(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65525 greater than or equal to 65518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 311. Suppose -2*u = -4*o - 3*u + k, 3*u = 2*o - 69. Calculate the least common multiple of 2 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(4*6\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 4671 - 3176. Let t be 4\/10 + (-456)\/(-10). Calculate the greatest common factor of b and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 90. What is the third smallest value in d, -5, -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2 + (-1 + 1 - 1)*(-5 + 2 + 1))*(55*c**3 - 123*c**3 - 67*c**3).\nAnswer: 135*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -0*c. Suppose 0*x = -c*x. Solve -b = 5, x = -2*k + 7*b - 2*b + 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 - 3)*(-4*p - 4*p - 13*p)*(0 - 1 + 3) + (-5 + 3 + 3)*(-p + p + p) + 2*p + 0*p - p + (0*p + 4*p - 2*p)*(0 + 0 - 1) to v + g*p and give g.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2 - y - 2. Let d(a) be the second derivative of a**3\/6 + 1216*a - 1. Determine d(m(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 390 + -390.277. Round p to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 18. Give b(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 44 = -14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 14) in base 16?\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 237\/(-15))*5.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/13, -241\/6, -5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*q + 4, -3*z - 5 - 1 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 4) to base 15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + 5*m - 2. Let v be c(-6). Suppose b = 0, v*k - 2*b + 745300 + 1934700 = 0. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 98.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c + 3 + 0*c + c - c - 79*c**2 - 5*c wrt c.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*r - 45 = 0, v - 54475*r + 54472*r = -29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -4, -82\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 - 34*g - 25. Does 47 divide j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25185 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 70768.9.\nAnswer: -21230.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4568571, 18274275, 41117113, 73097085?\nAnswer: 114214191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1 + 0 - 2 + 0 + (-5 + 1 + 2)*(-2 - 3 + 3) + (-1 + 0 + 2)*(4 - 3 - 3) - 2 + 1 + 4)*(-q + 2*q - 2*q) - q - 2*q + 4*q - 1.\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, 103 in increasing order.\nAnswer: -0.1, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**3 + 2*d**2 - 2*d + 7834. Let a(c) = 3*c**2 - 4*c + 2. Calculate -4*a(u) - 3*b(u).\nAnswer: -3*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {m: 1, g: 1, i: 1, h: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i*i*((i**(-1\/20)\/i)\/i)\/i)\/i*i))**(-7) assuming i is positive.\nAnswer: i**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*h + 5*j = -147*h + 2, 0 = -3*h - 3*j + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438285.\nAnswer: 5, 17, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2 - -3) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -77349771 times 0.4\nAnswer: -30939908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -3, 0.0223, 4?\nAnswer: 0.0223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/15)\/(-6)*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 414 + 445 = 41*y. Let w = -91 + 65. Let u = -18 - w. What is the highest common factor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 34 = -23 - 20. Solve 31 = b*a + d + 36, 5 = a - 3*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (2 - 0) - (45 + -55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*h - 184*h + 174 - 174.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/165 - 658\/105. Let d(l) = 6*l**2 + 12 - 2*l**3 - 4 + 3*l**3 - l. What is d(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zzzzzxxxzzxxzz?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - -1*((sqrt(950) - sqrt(38)) + sqrt(38)))\/((sqrt(2)*-3 - sqrt(2))*-5 - sqrt(2)))**2.\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(240)\/(sqrt(1452)*1))\/(sqrt(576)*1*6 - sqrt(576)))**2.\nAnswer: -348479\/87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 601192\/305 at least as big as 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:31 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -5706.941868.\nAnswer: -5707.011868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 26*j + 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 + -535. Let z = -217.7 + r. What is the smallest value in 7, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -5) + 0 + -5 + (-14 - -11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = b + 2, -4*q - 31 = q - 4*b. Let t be (3 - (1 - 0)) + 6 - q. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/27)\/(1\/6). Let m be 7 + (j - -6 - 6). Solve 0 = 6*g - g + 25, -4*w - m*g = 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/606*16*3\/172.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4535 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/18, -20, -0.3 in decreasing order.\nAnswer: 5\/18, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.82 - 14. Let f = 251 + -248.82. Let u = f + w. Which is the nearest to -0.3? (a) 5 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 2.91. Let t = w - 2.9. Let g = 2.2 - 2. Sort g, t, -0.1 in descending order.\nAnswer: g, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 + 687*g**2 + 9528*g - 21828 = 0 for g.\nAnswer: -214, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22 - 22 + 0*x**4 - 5*x**4 - 17*x wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 48*l - m = -5*m - 66, 4*l = 6*m + 134 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, -2\/387 in decreasing order.\nAnswer: 0.5, 0.4, -2\/387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 21 = -w + 8, -w - 4*c - 17 = 0. Let b = -34 - -48. What is the remainder when (-47 - 5)\/(2\/w) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242.55 plus -8.21?\nAnswer: -1250.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-341034)\/(-7119) - 8\/(-84)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w - 5 = -w, 0 = -4*o + 3*w + 5. Suppose 5*f - 17 = -h, -h = -o*h + 5*f - 7. Factor x + 0*x**2 + 0*x + x**h.\nAnswer: x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 - 18*s**2 + 424 - 5*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247*k - 255*k - 189 + 92 + 97 to c*k + p and give c.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, p: 1, m: 2, f: 4}. Give prob of sequence hphf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 - 73*y + 244*y - 179 to b*y + s and give b.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 9*q + 106. What is a(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 + 0*c**2 + 3*c**2 - 3*c**2.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 442, 597, 812, 1087, 1422?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1954306429 to the nearest integer?\nAnswer: 44208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 48*k. Let m(h) = 315*h**2. Calculate d(m(i)).\nAnswer: 15120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -100 (c) 0.2 (d) -0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (30\/3 - 25) - -6?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 + 14*l. Let t be f(6). Solve -3*k = 3, 2*k + t + 2 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129790 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17271, -17265, -17259, -17253, -17247, -17241?\nAnswer: -17235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 7. Solve 4*y + f = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69490 - 30.\nAnswer: 69460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8029699, -16059404, -24089109, -32118814?\nAnswer: -40148519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-18)*(-240)\/100 + 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5735016 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1231392223, -2462784446, -3694176669?\n\"Answer: -1231392223*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*c**3 - 93*c**2 + 1638*c - 3240.\nAnswer: -3*(c - 5)*(c + 12)*(7*c - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605300 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(8\/(-6)))\/(79\/158)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 2. Let x be ((-6)\/(-156))\/(1 + y\/(-8)). Which is the second smallest value? (a) x (b) -3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a decade in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (207\/2)\/(1\/2) is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88285.37 litres?\nAnswer: 88285370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 41*q**2 - 110*q + 161. Let p be j(-38). Solve -2*r - 3*d + 2 = 0, -5*r - 5*d = -p*r + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2\/(-6) + 4 + 0. Suppose 3*y + 3*y = 24. Let l be ((-13)\/(234\/(-12)))\/((-4)\/6). What is the nearest to l in y, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177.573 + 356031\nAnswer: 356208.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 78, 3 in ascending order.\nAnswer: 3, 10, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 11*s - 165 = 0. Calculate the highest common divisor of 66 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 184*t - 4. Let l(x) = -23*x**2 - 570*x + 11. What is 6*l(c) + 17*u(c)?\nAnswer: -2*c**2 - 292*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010683683 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163 is divided by 95.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2002 and 21?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 17. Suppose a = -2*h + 1 + 5. Suppose -4*p = -2*c - 3*c - 956, -h*p + 717 = -c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8e24 (base 15) to base 7.\nAnswer: -6165220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 653 + -658. Sort l, 3, 0, 48.\nAnswer: l, 0, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 30)*(6*h - 2*h - 2*h).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(1 + 0) + -1. Suppose -474 = -5*i + 2*k, 0*i - 2*i = -2*k - 192. Let z = -89 + i. Solve -19 + q = z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -669, -668, -667, -666, -665?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 8. Determine c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11020 and 58?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 33*q - 36. Let o be l(-15). Calculate the highest common divisor of o and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2862 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 7*f**2 + 3*f + 2. Suppose c + 4*c = -2*q - 30, 2*c - 2 = 2*q. Let n = -2 + c. Let g be v(n). Solve 7*b - g = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 3*x + x + 8 - 2*x. Let a(c) = -6*c + 24. Suppose -75*w + 12 = -78*w, w + 10 = -f. Give f*a(r) + 17*t(r).\nAnswer: 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 21202?\nAnswer: 21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n**0*n))**(-4\/3) assuming n is positive.\nAnswer: n**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - s)*(-3*s + 6*s - 14*s) + (3*s - 17*s - 3*s)*(-3 + 3 + s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (84 + -66 + -20 - (-1 + -6 + 0)) + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 322, 619, 916, 1213?\n\"Answer: 297*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 41 - 99 - 4*j + 40.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33423.14 milligrams to nanograms.\nAnswer: 33423140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253514.200016 + -253512. Let l = q - 2.2. What is l rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 944\/96 - 4 - 6. Which is the closest to 8? (a) 77 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339 - 337. Let f be (8\/(-5))\/(-2)*85\/c. Solve -3*k - x = -14, 4 = -5*k - 3*x + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2231*n**3 + 2228*n**3 + 2020*n**3 + 3*n**2 - 8711*n**3 - 3*n**2 + 2233*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*73.76.\nAnswer: -147.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -507*o + 579*o - 72 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 4*k**2 - k - 1228. Let d be -1*(-3 + 2)*1. Suppose -d = -5*c + 4*c. Give j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.084 + 5.384. Let d = k + 9.8. Let l = -15 + d. Which is the smallest value? (a) -2\/17 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 3:37 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + p**2)*(-p**3 + 2*p - 2*p) + (4*p**2 - 6*p**2 - p**2)*(4*p**3 - 2*p**3 - 4*p**3).\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**3 - 357*w**2 + 251*w - 1.\nAnswer: -18*w - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*l + 12, 7*l + t = -3 - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 255 (b) 28 (c) 4\/7 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {y: 1, k: 4, g: 5, t: 10}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/(-18))\/((-3)\/27). Let a(y) = -13*y**2 - 2*y + 2. Let b(h) = 209*h**2 + 33*h - 33. Let l(u) = p*a(u) - 2*b(u). Let o(v) = -v. Calculate l(o(t)).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333507.\nAnswer: 3, 19, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from zhnqqh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:47 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2891147 - 8297591791\/2870. Calculate the common denominator of 117\/350 and h.\nAnswer: 14350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) - sqrt(4752)*-4)\/(sqrt(11) + 4*sqrt(275)).\nAnswer: 20*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9254 - -1.59304. What is z rounded to 3 dps?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -23. Is ((-388)\/m)\/(8\/204) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b - 197 + 138 + 59. Let r(w) be the second derivative of -2*w**3\/3 + 2*w. Calculate q(r(d)).\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 478, 1079, 1920?\nAnswer: 3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 153*w - 162*w - 172*w - 29 - 161*w + 661*w - 10*w**2. Give f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -492 (c) 2\/5 (d) 0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4656, 18894, 42630, 75864, 118596?\n\"Answer: 4749*w**2 - 9*w - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 4, x: 1, p: 4, a: 2}. What is prob of picking 1 f, 1 a, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*r = 216, -3*q + 9*r = 6*r - 144. Let u be 4\/18 - 160\/(-90). Calculate the remainder when q is divided by u - 32\/6*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.42 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844261?\nAnswer: 11, 23, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**4 - 8*f**4 + 806 - 835 + f**2 + 3*f to the form p*f**3 + t*f**4 + m*f + c + y*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -2. Suppose -4*v = -3 + b. Let q(c) = -2*c + 1. List the prime factors of q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -543, -1099, -1657, -2217, -2779, -3343, -3909?\n\"Answer: -m**2 - 553*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3 + -1*2. Let x be (-5)\/(-20) + y\/(-8). Suppose x = 22*s - 27*s. Solve s = -m - 0 + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60638 (base 11) in base 15?\nAnswer: -1b3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280004 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 + i - 5. Let b(m) = m**2 - m. Let p(h) = 6*b(h) - d(h). Is p(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w + 1. Let k be 6\/4*4\/(-6). Suppose -8 = -3*m + 1. Let z(n) = -2*n - 5 + 14*n**2 - n - m*n**3 - 17*n**2 + 2*n**3. Determine k*z(s) - 3*c(s).\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnbnejejjnbebnnsob. Give prob of sequence sjn.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 39912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -25, 0.06, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.018, 6, -2.717 in decreasing order.\nAnswer: 6, 0.018, -2.717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.2 (c) -2\/17 (d) 40.7 (e) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*p - 8, -18 - 14 = -2*d - 4*p. Let a be 20142\/24 + 3\/4. Suppose 2*g + a = d*g. List the prime factors of g.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13. Suppose -3*b - 3*v + 2004 = 0, a = 2*v + 2*v + 20. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -264, -407, -550?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akjk when four letters picked without replacement from kklppkjjka.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478244.3 weeks to microseconds.\nAnswer: 289242152640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 348 - 347 - 858*u**3 - 2*u**2 + 3*u**2 in the form p*u + r + n*u**3 + h*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 - 2 + 3 - 3*a. Let h be n(2). Let c(o) = -o**3 - 4*o**2 - 2*o - 4. Determine c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 705 = -25*w. Let b = w - -488. What are the prime factors of b?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = -5*n, 4*s - 3*n - 117 = -94. Solve -g - 6 = r - 2*g, s*g - 9 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 7*s + 28. Solve 0 = -5*h - 20, s*d - 3*h = -d + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/7 - 5*m**4 - 229*m**3 - 10165*m**2\/7 + 78*m + 7560 = 0.\nAnswer: -20, -7, -3, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*r - 20 = 0, -3*n - 2*r = -0*r - 10. Let p(y) = 1 + 5 - 6*y**3 + 5*y**3. Let z be p(n). Calculate the greatest common factor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.6 (b) -4 (c) -0.5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*y + 1180 = 0, -4*y = r - 589 - 593. What is the remainder when r is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - -132. Suppose -p = 4*n - 1195. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)\/n*n*n**(1\/20)\/n*(n*n\/(n\/((n\/n**(-1\/2))\/n)*n*n))**(-15\/8) assuming n is positive.\nAnswer: n**(-801\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 - (-14 + -6 + 13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 23829510 = 19*m + 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -429, 2, -11, -3, -38 in ascending order.\nAnswer: -429, -38, -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbyyqyyyyybyyyyybby. What is prob of sequence byy?\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 134*w + 35. Let f be n(45). Calculate the highest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*(-3 - 51\/(-15)). Let w(q) = -8*q**2 - 6*q. Let a(m) = -23*m**2 - 17*m. Let y(k) = c*a(k) - 17*w(k). Let n(o) = o. Calculate n(y(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**2 - c + 12. Suppose 6*b = 9 + 27. Let i(n) = -31*n**2 + 4*n - 34. Let w(p) = b*i(p) + 17*f(p). Give w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let m = -5.3295 - 0.6705. What is the nearest to 2\/3 in v, m, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1519412 and 16.\nAnswer: 6077648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 87*t**2 - 1387*t + 97. Determine s(66).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 1480240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 + 24*x**2 + 120*x + 128 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-22)\/(-2) - (2 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -516, -579, -676, -813, -996, -1231?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68a3a7 (base 11) to base 14.\nAnswer: 207c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.6 (b) 4 (c) 98 (d) -4 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 0*w)*(2*w**2 + 0*w**2 + 0*w**2)*(309*w - 183*w - 161*w).\nAnswer: 280*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 2}. What is prob of sequence yyf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-7))\/(-4 + 5). Let k(p) = -2*p + 21. Let s be k(9). Let f be 20\/(-65)*s\/(-2). Which is the smallest value? (a) f (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - ((0 - -2) + -4 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3*r**2*y - 5*b**3*r*y + 2*b**3*y + 9*b**2*y - 2*r**2*y - r**2 wrt b.\nAnswer: -30*r**2*y - 30*r*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/5)\/(((k\/k**8)\/k)\/k))\/(k\/k**(-8))**(-48))**(2\/49) assuming k is positive.\nAnswer: k**(4408\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 7732 = 7732 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7747, 2\/3, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*t + 46 = 13*n + 360*t, 2*t = 2*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -81. Suppose 9 = -x + y, 2*y - y + j = -3*x. Let u(m) = -m**2 - 13*m - 7. Let i be u(x). Solve -g - i = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*c - 6, -4*z - 2*c + 18 = 0. Suppose 2*h + p - 13 = 0, -h = z*h + p - 19. Suppose r - 9 = h. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18586 by -25.\nAnswer: -18586\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/307 or -1?\nAnswer: 20\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10351 - -10351. Let a = 130 - 912\/7. What is the nearest to d in a, 1, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rio when three letters picked without replacement from {i: 9, r: 2, c: 1, o: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**2 - 473*b - 131. What is the units digit of v(62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 17*y = 4*p - 30, 48*p + 7*y - 250 = 6*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726 is divided by 273?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 332 + -244. Calculate the highest common divisor of i and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzd when three letters picked without replacement from yyzdi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkckkkkcckkkkccck. Give prob of sequence ccc.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0122662 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.02 - 0.02. Let v = z + -26. Let a = v + -77. Is a less than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 3:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 584483663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7691, -7689, -7687, -7685, -7683?\nAnswer: -7681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -663*d**4 - 3021*d**2 - 434857*d + 6.\nAnswer: -7956*d**2 - 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**5\/36 + 85*z**4\/72 - 95*z**3\/9 + 90*z**2 + 146. Let l(a) be the second derivative of p(a). Factor l(v).\nAnswer: 5*(v - 2)*(v + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17445.3 - 17445. Sort b, -1\/12, -8 in ascending order.\nAnswer: -8, -1\/12, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p + 19. Suppose 0*h + 5*h = 0. Let f be q(h). Calculate the highest common divisor of f and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.08*226.9.\nAnswer: 7732.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3388 = 95*c - 22*c - 700. What is the highest common divisor of 41608 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 1980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 270.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 + i + 4. Suppose -2*t + y = 3, 0 = t - 4*t - 3*y. Let x be p(t). Solve 2 = -3*s + 2*c, -c + x*c = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-10 + 1 - (101 - 100)) - 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnf when three letters picked without replacement from {l: 7, k: 2, s: 2, o: 1, n: 2, f: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*w + 151 = 186, -4*w = 2*p - 6 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448 <= 14448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00476086133 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -809716 + 11?\nAnswer: -809705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704) + (sqrt(704) - (sqrt(704) + (-1*sqrt(704) - sqrt(704))*-6 - sqrt(704))**2) + -1 + sqrt(704) + 4 - (1 + -2*sqrt(704))**2)*-5.\nAnswer: -320*sqrt(11) + 520950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 9. Let o = 20 + -13. Calculate the remainder when y(o) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*i + 3*i**2 + 79 - 8*i**4 - 163 - 10*i**4 + 83 - 2*i**4 wrt i?\nAnswer: -240*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -1. Let z(l) = l + 3. Let t be z(n). Is (t\/2)\/((-3)\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 24*l**2 + 16*l**2 + 5*l**3.\nAnswer: 3*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:08 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5))**38\/(x**(-12)\/x*x*x**(-7)) assuming x is positive.\nAnswer: x**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by -174.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 784, 1508, 2232, 2956?\n\"Answer: 724*q + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.17 + 0.17. Let i be 2\/(-12) + 871\/78. Suppose 0 = 7*t - 3*t + j + i, -23 = 2*t - 3*j. Which is the biggest value? (a) 4 (b) u (c) t (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127061 divided by -11?\nAnswer: 11551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -3 = -7*k + g*k. Does 5 divide k + 2\/(4\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/2 + 1035*b**2\/2 - 34323*b\/2 - 140860919\/2 = 0. What is b?\nAnswer: -311, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 8 = 3*f. Let r be (-6)\/2 - (-1 - f). Are r and -12\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 4*s + 2. Let d be n(-4). Let z be 2*(0 - (-10)\/4). Let x = z - d. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 264.06 - 259. What is d rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - (4 + 1) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102178 by 2.\nAnswer: 51089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6455, -6508, -6561, -6614, -6667?\n\"Answer: -53*v - 6402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768.54 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.7? (a) -1 (b) 10\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-27) - (-2)\/6) + ((-4455)\/(-25))\/(-81)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y**4 + y**3 - 137*y + 9000?\nAnswer: 8*y**3 + 3*y**2 - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, -0.4, -2\/37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-84))\/((-1)\/4). Put 2, -4\/7, j in increasing order.\nAnswer: -4\/7, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24559?\nAnswer: 41, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1053) + -2)*1 + -4 + sqrt(1053) + sqrt(1053)*3*-2 + sqrt(1053))**2.\nAnswer: 432*sqrt(13) + 9541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6 + 0)*(198*z**2 + 8659*z - 8659*z).\nAnswer: 594*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*d - 15*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**3 + 13 - 13)*(-2*g**2 + 2*g**2 - 3*g**2) + 5 - 3*g**5 - 5 - 2*g.\nAnswer: 27*g**5 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4136.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.14 + -44. Let l = -0.77 + v. Let k = l - -0.6300172. What is k rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*((-10)\/(-4) - 3). Let l be -2*(1 + o\/9). What is the nearest to -0.1 in -5\/2, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 313*t**2\/3 - 3964*t - 76\/3 = 0?\nAnswer: -2\/313, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-18) - 2\/(-9). Let m(s) = 2*s**2 - s. Let o be 3*-1 + 4\/2. Let z be m(o). Sort h, 5, z in descending order.\nAnswer: 5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 - 83*r**2 + 75 - 9*r**4 + 124*r**3 - 30*r**4 + 8*r**4 - 160*r = 0 for r.\nAnswer: -1, 3\/7, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 2\/5 (c) 10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, 1 v, and 1 f when four letters picked without replacement from whhhchvfvhv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/100, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 1. Let r(t) = -590 - 2*t - 3*t + 611 + 0*t. Suppose -4*v + 6 = 2*u, 5*u + 29 = -3*v + 4*v. Let j be r(v). Give w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 - 21*v**3 + 39*v**2 - 19*v = 0.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2862 = 292*t - 288*t + 3*f, 3*t - 4*f - 2134 = 0. Calculate the remainder when t is divided by 349.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.249 and -259?\nAnswer: 64.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5531704 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1745265km in meters?\nAnswer: 174.5265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1717*k**3 - 850*k**3 - k - 935*k**3 - 7 to t*k + w*k**3 + x + a*k**2 and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758952.619 rounded to the nearest 1000?\nAnswer: -2759000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 211*x**2. Let a(v) = -5*v**2. Calculate a(n(o)).\nAnswer: -222605*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.514049164 rounded to five decimal places?\nAnswer: 0.51405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -3*w**4\/4 + w**3\/6 + 4*w**2 - 32*w. Let r(c) = -13*c**2 + 1. Let b be r(1). Let d be s(b). Round d to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22780)\/425)\/(-67)*-12?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22868967*f**3*k - f**2*k - 5*f**2 + 2*f*k - 106*f + 3*k wrt f.\nAnswer: -137213802*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + 13*p + 3. Let l be q(-5). Let w be (-171)\/(-6)*(-1 - -3). Calculate the greatest common divisor of l and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 15652 = -16807. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 + 8 = 0. Suppose 0 = 2*t + f - 6*f - 5, 3 = t - 2*f. Suppose 5*l - l + t*g = 2, -2*g = r*l. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.646\nAnswer: 0.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Which is the nearest to 0? (a) w (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9664075045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x - 8. Suppose -2*v - x*v = -60. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279393.8 - 0.018.\nAnswer: 279393.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 7, -7, -37, -89?\n\"Answer: -v**3 + v**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46128\/(-36) - ((-95)\/60 + 6\/24). Which is smaller: -1284 or y?\nAnswer: -1284","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12772626*q - 8720817 wrt q.\nAnswer: 12772626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -319? (a) -1\/2 (b) 1\/4 (c) -0.3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 120\/100*1\/(-6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 + 3507 = 7*r. Let a(g) = 2*g + 1623 - r - 809. Let u(m) = 56*m. Give u(a(y)).\nAnswer: 112*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4*3\/(-6)). Let i(j) = j**2 + 2. Let m be i(l). Let k(a) = a**2 - 3*a. Give k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*h - 10, -n = 83*h - 82*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26\/41 (b) -0.06 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.274 - 0.026. Let x = 141.3 + i. Let z = x - 134.19. What is z rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779.7398 years in months?\nAnswer: 9356.8776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25731 and 487.\nAnswer: -125.30997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**9\/21 + 11*d**8\/112 - d**6\/60 - 3151*d**5\/60 - 1673*d**2. Find the third derivative of f(j) wrt j.\nAnswer: -2880*j**3 + 1980*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*z - 14 + 42, 24 = -2*n + 4*z. What is the units digit of (6\/n)\/(12\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 7 - 17. What is the second derivative of -23 + 23 + d*t**2 - 4*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 8939.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/13 (b) 0.5 (c) 24 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 - 14*h**2. Let f(l) = -11*l**3 + 43*l**2. Calculate 3*f(o) + 8*u(o).\nAnswer: -o**3 + 17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11391 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: Rearrange 2 - 9*l - 17 + 16*l - 5*l to the form c + p*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2026*r**2 - 10*r + 49. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 751 - 751.5. Let s = 0.01 + 1.19. Let w = -0.2 + s. What is the closest to w in -0.3, -5, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -47\nAnswer: -7\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -197872 greater than -197874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 66 = -2*x + 6*x, 0 = x - w + 18. Let g(s) = s**2 + 23*s + 2. Calculate g(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 11. What is the greatest common factor of x and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -3)*23\/(-1) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.5\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 426689 and 0.1183544.\nAnswer: 426689.1183544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + j + 1. Let a be o(-1). Let c = 0 + a. Solve 2*d = -c*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 + z - 1. Suppose 0 = 6*t - t - 5. What is the tens digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -20. Let o = m + 35. Calculate the highest common divisor of 45 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2791319 is divided by 167.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9\/29038?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 31755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-362292002)\/(-42) - 60\/1260. Round h to the nearest one hundred thousand.\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 + 15*b + 15. Let l be a(12). Let m = -2058 - l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2)\/(-3*2\/(-6)). Let v(o) be the first derivative of -44 + 4*o - 7\/2*o**2 - 2*o**h + 1\/4*o**4. Give v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 2, -1, 0.\nAnswer: -2, -1, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (149\/5)\/((-4)\/(-20)). Suppose -m + 5*x = j, 4*x - 154 = 8*m - 7*m. Is m less than -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37 + 16 + (22 - 59). Solve 19 = -g*s + 5*j + 55, -12 = -4*s + 2*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/5))\/(r\/(r\/r**(6\/7)*r))*(r*r*r**39)**19)**(-5) assuming r is positive.\nAnswer: r**(-27298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 1. Let g be f(5). Let j = 5 + g. Is (138\/j)\/(4\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -790135819*j + 1103541418 wrt j?\nAnswer: -790135819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15622197 divided by 18\nAnswer: 5207399\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*u - 9*u - 5 - u**2 with respect to u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (159 - -1)*4\/8. Suppose r + x = 4*w - 2*w, -3*r + 4*w - 250 = 0. What is the units digit of ((-2)\/(-4))\/((-5)\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.034, 0.5, -1, -2, 0.4, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328199 - -328204. Suppose -129 = -4*f + 4*i - 45, 84 = 4*f + 5*i. Solve f = b*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 22*j - 23*j + 36, 2*j = 4*v - 48. Solve -v*o + 32 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3 + 0*n**4 + 0*n**5 + 3 + 0*n + 1\/6*n**6 + 0*n**2. Find the third derivative of z(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59169945 to the power of 1\/2, to the nearest integer?\nAnswer: 7692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000089746 rounded to six dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + (4433\/66 - (-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259516801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/38 != -79\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-87)\/36 + 4. Which is the smallest value? (a) 4\/5 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18918, -37837, -56756, -75675?\nAnswer: -94594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + -18. Let j = -11 - b. List the prime factors of (-98)\/(-6) + 10\/j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1468?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1260123*q**3*z + 2*q**3 + 1837*q*z + q + 35*z wrt q.\nAnswer: 7560738*q*z + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95323604*i**2 + 10920693.\nAnswer: -190647208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(24\/148)*(-8)\/(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - (-4 + -8)) - 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b = -106*b + 26*b + 122486. List the prime factors of b.\nAnswer: 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 12*c - 91337 = k, 0 = 4*c + k - 121764. What are the prime factors of c?\nAnswer: 7, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 0 + (-74 + 2 - -67) + -72.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 4*y + 9, 4*m + 2*y + 12 = 0. Let o be m\/(-4) + (-185)\/(-20). Suppose -5*f + 20 = -o. Solve 0 = f*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1877.4935767 to one dp.\nAnswer: 1877.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027816 rounded to five dps?\nAnswer: -0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 3*w**2 - 2*w**2 - 2*w**2 + 6*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/60 + k**4\/4 - k**3 + 8*k**2 - 12*k. Let d(m) = -4*m**3 - 3*m**2 + 4*m - 2. Let x be d(1). Give i(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h + 1. Let c = 1 - h. Suppose -3*b - 5*q = -10, b - 6 = -q - 2*q. Solve 2*p + b*p = c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 5. Let i be l(2). Solve g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*d = -339 - 1654 + 748 - 2955 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7\/4, -148, 0.3, 2\/3, -0.2 in ascending order.\nAnswer: -148, -0.2, 0.3, 2\/3, 7\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14366 = 227*r + 40*r + 386*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let d be g - 0\/(-3 - -1). Let w(k) = -3*k**2 + 20*k + 11. Let l(y) = -y**2 + 7*y + 4. Let c(t) = 11*l(t) - 4*w(t). Determine c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*d = -3210, 2*f = -30*d + 33*d + 3213. Let p = f + -1002. What is the highest common factor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let h be (-15)\/(-21)*u\/10. Sort 3, 0.2, h in increasing order.\nAnswer: h, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 50*d - 2. Let s be k(25). Let b be -4 - (5 + 5 + -15 + s). Solve 6*c - 27 = b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3117*l + 12 + 3094*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59623718 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -8, 4 in decreasing order.\nAnswer: 5, 4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.5 + 37. What is the third biggest value in 0, p, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8077478, 8077484, 8077494, 8077508?\nAnswer: 8077526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 0.47, -68, 0.4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(-12)\/3. Suppose b = 2*y + 20, 2*y - 1 = -f*b + 9. Suppose -11*s - 116 = -15*s + t, s - 16 = -3*t. What is the remainder when s is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let w = 1.7 - -3.3. Let d = 10 + -10.1. Which is the closest to h? (a) d (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -19, 1\/3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - j + (1 - 1 + 1)*(-1 + 2*j + 1) - 47*j - 32 + 32)*(3*j**2 + j**2 - 6*j**2).\nAnswer: 92*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 268, 0.47, -0.3, 0.07 in increasing order.\nAnswer: -0.3, 0, 0.07, 0.47, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*s = -s - 317, -20 = -4*s. Calculate the lowest common multiple of 66 and t.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6241 - -4071. Let m = 3647 + c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, 50, 458, 1294, 2702, 4826?\nAnswer: 7810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:26 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278590?\nAnswer: 2, 5, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -j + 4*q - 23, -4*j = -5*q + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 v when four letters picked without replacement from {d: 5, v: 14}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + z - 226*z**2 + 6*z - 8015*z**2.\nAnswer: -8241*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 3*b + 3*b)*(5 - 2 - 2) + 0*b + 3*b - 4*b - 2*b + b - b)*(-8*b - 3 + 8*b - 5*b).\nAnswer: 20*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 7*z + 2. Let m be f(2). Suppose -k = 5, y + 3*k - m - 25 = 0. What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -471\/559 or -2?\nAnswer: -471\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-4 - (1 - -3)) - (-4 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 289.6.\nAnswer: 288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-60 + 62)*18\/(-12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9955596 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/36*(-6)\/(-60). Let s(z) be the third derivative of 0*z**5 + 0*z - 4\/3*z**3 - 1\/2*z**4 + a*z**6 + 0 - 3*z**2. Solve s(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 25999 - 25999.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 35.71152 nanograms?\nAnswer: 0.03571152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 3\/2 (b) 134 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5 in decreasing order.\nAnswer: 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103074068 and 25816?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -58. Let x be ((-18)\/z)\/(18\/(-16)). Let l = 3.5 + -0.5. What is the biggest value in l, x, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)\/w**(1\/7)*(w\/(w**(-2\/3)*w))**7)**(-5\/8))**6 assuming w is positive.\nAnswer: w**(-433\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17529189?\nAnswer: 3, 5843063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -64, 0, -5, 8 in decreasing order.\nAnswer: 8, 0, -5, -64, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/42 - (-1180)\/840)*136\/(-6). Which is the third biggest value? (a) -1 (b) -0.01 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**3 - q**2 + 7*q + 6. Let c(h) = -h**3 + h**2 - 2. Let f(a) = -a**2 - a + 1. Let l(z) = -c(z) - f(z). Calculate 6*l(g) - p(g).\nAnswer: -2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**4 + 5*l**4 + 2*l**4)*(5 - 2 - 2) + 3*l**4 + 0*l**4 + l**4 + (-3*l**4 + 0*l**4 + 4*l**4)*(5 - 3 - 1) + 2*l**4 - 3*l**4 - l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.011 in 0, 2, -2\/7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -21*m**2 - 2*m + 10. Let s(q) = q**2 - q + 5. Let b(w) = -a(w) + 2*s(w). Let k(u) = -2*u + 2*u - 2*u**2. Calculate b(k(n)).\nAnswer: 92*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 6 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 16*t + 1200 = -110*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-3 + 3 - d) - 3*d + 3*d + d)*(-d**2 + d**2 + d**2 - 3*d**2 - 3*d**2 + 7*d**2 + (d - 2*d - d)*(-3 + 3 - 2*d) + 2*d**2 - 2*d**2 + 2*d**2).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*g**3 + 4*g - 38 with respect to g.\nAnswer: -48*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - m**4 + (-1 - 1 + 0)*(-36 - 10*m + 36)*(-m + 2*m - 10*m)*(-5*m**2 + 10*m + 4 - 3 - 11*m) as z + w*m**2 + j*m + r*m**4 + g*m**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**4 - 4*y**3 + 30*y**2 + 14*y - 32. Let g(o) = o**4 - o**3 + o**2 + o. Let u(h) = 6*g(h) - z(h). Solve u(j) = 0 for j.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -46584199019.\nAnswer: -46584199017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3545.83 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpfppfffwg. Give prob of sequence fgp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5627 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 11*r = 215. Let j(s) = r - 28 + 12 + 12*s. Let y(i) = -i + 1. What is 2*j(f) + 22*y(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/21420*42 + 1708\/(-204).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.890746 rounded to 1 decimal place?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827243 + 8481729 - 2827247 - 2827239 + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 0.34. Let n = 0.1 + h. Let i = -893.3 - -893.6. Which is the biggest value? (a) 20 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -21*c + 38*c + 176 + 16*c. Let s be i(14). Calculate the greatest common divisor of s and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 25 = -5*q, -2*q - 186 = -z - 176 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + c - 46, -4*c - 124 = -4*m + 28. Let o = m + -29. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 37. Let v be z(-19). Put v, 2, 95 in descending order.\nAnswer: 95, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.48346698 + -0.192\nAnswer: -21.67546698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*a + 8. Let c = a + 6. Suppose 4*x - 18 = r, 2*r + 2*x = -2*x + c. Solve 0 = -r*s + z - 12, -z = -5*s + z - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + 81 + 114 + -18?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 12. Suppose -45 = 5*h - 20. Calculate i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 - 0.57. Which is the closest to 0.1? (a) -2\/7 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.544 + 0.056. What is the biggest value in 1\/4, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220.1*-7102.\nAnswer: -1563150.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgg when three letters picked without replacement from ltgtg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 12 = 0. Suppose -j*n = -5*n. Suppose -3*c - 2*c + 275 = n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -832, -1282, -1348, -1030, -328?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let l(a) = 17*a**2 + 4*a - 4. Let f(y) = 950*y**2 + 225*y - 225. Let c(r) = 4*f(r) - 225*l(r). What is j(c(v))?\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*6*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/954 and 87\/8?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 9*s - 1. Let d be o(9). Put d, -18, -2, -3 in ascending order.\nAnswer: -18, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + 0.91. Let o = 2 + 3.6. Let l = o - 2.6. Which is the second biggest value? (a) -1\/2 (b) l (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -365?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -371724590 rounded to the nearest 1000000?\nAnswer: -372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/16*(-10)\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252) - sqrt(252)) + 3)**2*5.\nAnswer: -360*sqrt(7) + 5085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 177103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2205)\/(-378))\/(((-80)\/(-288))\/1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1189a (base 16) to base 4.\nAnswer: 101202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8787.\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -210511 divided by -210511?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-6\/11)\/(x*(x\/((x**(1\/4)*x)\/x))\/x)**(-8\/9)*((x*x\/x**(-1\/2))**(-3))**(-2) assuming x is positive.\nAnswer: x**(508\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1053))**2 + -3 + sqrt(156)\/((-2*sqrt(132))\/sqrt(11)).\nAnswer: -sqrt(13)\/2 + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/349564 and -23\/933.\nAnswer: 1048692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -9*k**2 - 2\/3*k**4 + 0 + 0*k - 2\/15*k**5 + 0*k**3. Find the second derivative of q(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 4*d = 336. Let q(k) = -4*k**2 - 96*k - 308. Let x be q(-17). Calculate the highest common factor of x and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64, -234, -516, -910, -1416, -2034?\n\"Answer: -56*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (-1*sqrt(4860))\/((sqrt(108) - 5*sqrt(108))\/sqrt(9) - sqrt(12)) + -5.\nAnswer: -4 + 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52451, 52437, 52403, 52337, 52227?\nAnswer: 52061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:43 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3034\/705 or 5?\nAnswer: 3034\/705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13708 - 0.03708. Which is smaller: l or -5.751?\nAnswer: -5.751","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691574*w**6 + 93*w**2 + 3*w + 81 wrt w?\nAnswer: 82988880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/((j\/j**(2\/49))\/j))\/j)\/j)\/(j*j**3)*j**19*j*j*(j**(-9\/5)*j)\/j)**(-10) assuming j is positive.\nAnswer: j**(-7468\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.054 and -2291.\nAnswer: 123.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*x = t - 386*x - 3847, 3*t = -x + 11536. What is t rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 4216?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4182*148.\nAnswer: 618936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 * 554.31\nAnswer: 576.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*t, 3*t - 8 = -2*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(21)*1*-3)\/(sqrt(9)\/(sqrt(3)*2))*4.\nAnswer: 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*a**2 - 305*a**2 + 111*a**2 + 106*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -38 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35164654169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2\/625 (b) -5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4410*f**3 + 3*f**2 - 4409*f**3 - f + 8818*f**3 - 1. Let u(s) = s**2 - s + 1. Let h(k) = -k**2 - 13*k + 49. Let t be h(-16). What is t*u(y) - q(y)?\nAnswer: y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3140668566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-5 - (-3 - 22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 7058*z + 14108 = 0. Calculate z.\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:56 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 156 = -581. Suppose 2*j - 972 = 5*u + z, 2*j = -5*u + 1029. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122828, 982122, 3314366, 7856036, 15343608, 26513558, 42102362, 62846496?\n\"Answer: 122746*k**3 - k**2 + 75*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w + 14*w + 8*w + 14*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204527201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.3 (b) -0.2 (c) 4\/9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/((-4)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 2)*(12 - 12 - 8*a)*(4 - a - 4)*(0 - 4 + 3) in the form j*a**2 + c + i*a and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-10*k + 4*k - 5*k)*(-4*k**2 + 0*k**2 + 2*k**2) + (-4*k**2 - 3*k**2 + 5*k**2)*(-2*k + 1 - 1).\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9985, -19971, -29957?\n\"Answer: -9986*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86921033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35295 by -3.\nAnswer: -11765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 56817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 11\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332478 and 756324?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.15 - -0.1.\nAnswer: -34.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7 times -0.101?\nAnswer: -8.7567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 6*j)*(0 - 9 + 2) + 112*j - 66*j - 62*j + 4.\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010604083 to seven decimal places.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18035 divided by 5\nAnswer: -3607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2859086058 to the nearest integer?\nAnswer: 53470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:01 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 48650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 4*u**2 - 9 - 5*u**2 - 4 - 14*u. Suppose 0 = -3*l + 12, -2*q + 2*l - 10 - 22 = 0. Let s be o(q). Are s and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2310 + 2310 + 90*r)*(0 - 7 + 2).\nAnswer: -450*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 36*x + 30. Let y be u(17). Suppose 5*o - 22 = -3*h, 2*o + 5 - 14 = -h. Sort 1, y, -2, h in ascending order.\nAnswer: y, -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -435\/8386, -5\/2, -8, 3\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78704977763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6676136 divided by 4\nAnswer: 1669034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 5*k. Let v be m(7). What is the least common multiple of 8 and (-42)\/v*-3*(-2)\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 0*p - 8*p + 2*p - p + p - 1 + (p - 2*p + 2*p)*(-2 - 1 + 2).\nAnswer: -12*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*o - 45*o + 19*o + 22*o**2 - 12*o**4 wrt o.\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -976 by 136.\nAnswer: -122\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21593 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 19*q + 4. Let w(d) = -14*d**2 - 39*d - 10. Let j(g) = -5*b(g) - 2*w(g). Calculate j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-2)\/(-5))\/(7\/16485)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n - 1034. Determine s(-113).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -41. Which is the closest to -2\/7? (a) 0.1 (b) o (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840717 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5307 bigger than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -67*n - 2139. Let i be k(-32). Let j(a) be the first derivative of 0*a + 3\/4*a**3 - 29 + 15\/16*a**4 + 0*a**2 + 3\/20*a**i - 1\/8*a**6. Factor j(o).\nAnswer: -3*o**2*(o - 3)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 33971, -3, 2\/3, 2, -1.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/15 + 1\/(-6) - -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/10)\/(1758\/(-1465))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + 10\/(-6). Let j be f\/(1 - 8\/6). Suppose j*d - 5*r = -0*d - 19, -d - 3*r = -17. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 + 22 = 0. Let k be ((-8)\/10)\/(6\/r). Let w(p) = -2*p - k*p + p. Let s(d) = d**2. What is w(s(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17878552529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o + 6. What is m(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 + x - 5. Give z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = -5*p + 7, -5*p + 25 = 0. Suppose v*d = -5*i + 56, -2*i + 5*d + 29 = -0*d. Calculate the remainder when 21 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.3, 4, 3, 2\/9, 62\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 4290 (c) -0.4 (d) 23 (e) -3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)) - sqrt(19)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 13. Let s = 5.2 + j. Let v = 13 - 92\/7. What is the smallest value in s, 2\/15, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nineteen tenths of a millennium?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 6*p**2 - 19. Let n be x(2). Let g(q) = 2*q + 3. Let w(a) = -10*a - 14. Give n*g(z) - 2*w(z).\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(567) - (3 + sqrt(567))**2 - sqrt(567) - sqrt(567)) + ((-3 + sqrt(847))*-2 + sqrt(847))**2)*-2.\nAnswer: -606 + 390*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474197 + 2*p**3 - 4*p**2 + 474197 + 4*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s - s**3 + (-2*s - s + 2*s)*(0 + 0 - 2*s**2))*(-22*s + 17*s - 110*s) as o*s + z*s**4 + f*s**3 + k*s**2 + p and give z.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483829*r**5 - 29*r + 33908?\nAnswer: -9676580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*d - 22, -3*d + 6*d = -3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:07 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-0.72.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 0*m**4 + 8\/3*m**3 + 76 + 0*m**2 - 4\/5*m**5 - 4*m. Find v, given that w(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjwjwkwkkk. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -5, -3\/7, 5, -5602?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let g = 0 - -5. Let s be 0 - (-3 + 6)*-1. Let r(x) = s*x + x - g*x. What is r(v(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 5*v = -3, 0 = 4*b - 5*v - 1. Is (b + 0)\/((-1)\/1) - -210 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, r: 7}. Give prob of sequence riii.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(85)*1)\/((sqrt(20)\/sqrt(4) + sqrt(5))*3) - 5*(-3 + sqrt(2448)*2)**2.\nAnswer: -49005 + 1439*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6107 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 1\/6 (c) 296 (d) -18 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-10 - 25))*-1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -25*a**2 + 7*a - 68. Let g(o) = -13*o**2 + 4*o - 37. Give -11*g(l) + 6*t(l).\nAnswer: -7*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 260 = 15*q, -u = -2741*q + 2736*q + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2218*f**3*o**2 - 23*f**2 + o**2 wrt f?\nAnswer: -13308*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 23*w**2 + 41*w - 45. Let s = -79 + 54. What is the tens digit of j(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*w - 51 = 213*w. Let b = -35 + w. Suppose b = -10*h + 2*h. Let n(l) = 21*l**2 + 9*l. Let u(t) = 5*t**2 + 2*t. Determine h*n(k) + 9*u(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 407.138 + -403. Let x = p - 4.1. Let r = -0.138 + x. What is the nearest to 1 in r, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0106794.\nAnswer: -0.00320382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {m: 4, r: 7, u: 6}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -5 + 3)\/6. Let i = -21\/20 + 4\/5. Which is the closest to i? (a) m (b) -5\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 31 = 35. Let w be (3\/(-18)*(4 - 4))\/(-2). What is z in -3\/7*z**p - 6\/7*z**5 - 15\/7*z**4 - 12\/7*z**3 + 0 + w*z = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -9 (b) 4.96 (c) 5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1929 divided by -919.\nAnswer: 1929\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6837*p = -6873*p + 756 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.2 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 577*g - 2*g**2 + 4 - 171*g.\nAnswer: -2*g**2 - 748*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86345 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1772280948 divided by 6.\nAnswer: 295380158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7007 - -7000. Suppose 3*k - 9 = 4*k. Is f bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 12 = -g + 2*d, -4*d = -3*g + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let g(b) be the second derivative of b**3\/3 + 69*b**2 + 870*b. Determine f(g(s)).\nAnswer: -4*s**2 - 552*s - 19044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -57, 0, -4, 0.18?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 318915 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + s + 6. Let x(p) = -3*p**2 + 2*p + 5. Let o(a) = -5*u(a) + 6*x(a). What is the second derivative of o(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 107, 118, 113, 86, 31?\n\"Answer: -s**3 - 2*s**2 + 24*s + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 3 (c) -14 (d) 225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:22 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292497 is divided by 17194?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 56*d - 161. Give c(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 546 (b) -4\/7 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 250\/87 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8604.847 years in centuries?\nAnswer: 86.04847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -744334 - -0.0558?\nAnswer: -744333.9442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 752*v - 11. Is n(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.760042 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = 4*g, 2*g - 89 + 79 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 + sqrt(76))*3 - (-5*sqrt(76)*2 - sqrt(76)))\/(sqrt(36)*-4 + sqrt(4) + sqrt(400) + (sqrt(400) - -1*sqrt(400))).\nAnswer: 20*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9, 2*o + 3*k - 5 = 4. Suppose 0*i = -4*m + 3*i + o, 5*i = -15. Suppose -3*x - x + 20 = m. Solve -9 + 23 = d - x*v, 0 = -2*d - 3*v + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t - 3. Let y be (-1 + 1\/1)\/t. Is y bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/5 (b) -9.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 3 + 39 - 1. Let j = f + -16. Let t = 35 - j. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610 divided by 722?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -5, 2, 13, 28, 47, 70?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 56*u - 2700. Which is greater: u or 753\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a year in months?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)*(2 - 10\/4). Does b = 10\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddededededdddddedd?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 27346721 to the nearest 100000.\nAnswer: 27300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and 30.27028.\nAnswer: -0.72972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294266855.\nAnswer: 5, 17, 547, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3*c**2 + 0*c + 14 + 16\/3*c**3. What is the second derivative of m(y) wrt y?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 706344 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -76031000 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -i - 39, 2*i = 4*i + 2*q + 60. Let s = -25 - i. Let j = 21\/8 - 123\/56. Which is the closest to -2\/7? (a) j (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddsbbdb. What is prob of sequence ds?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517850 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004917474986 to 7 dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -4, -0.2 in increasing order.\nAnswer: -4, -3\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t**5 - 65*t**5 + 87*t**5 + 211*t + (0*t + 0*t - 2*t)*((3*t - 3*t + 2*t)*(-2*t**3 + 5*t**3 - t**3) - 1 + 1 - t**4).\nAnswer: -4*t**5 + 211*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5, n: 7, l: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 5. Let x be z(4). Let a = 59147 - 59144. Calculate the highest common divisor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/11 - 137230*m**3\/11 + 411670*m**2\/11 + 137230*m\/11 - 411672\/11 = 0.\nAnswer: -1, 1, 3, 68612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/35)\/(15\/(-275)) and 29\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014864 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143066 + 24?\nAnswer: 143123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47498 divided by -2794.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5729 * 5\nAnswer: -28645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -273225, -272401, -271563, -270705, -269821, -268905?\n\"Answer: l**3 + l**2 + 814*l - 274041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 29*j - 27. Let o(z) = 47*z - 17. What is the remainder when o(j) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1329 + -2655\/2. Which is the nearest to 0.1? (a) q (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 165. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3428, -6920, -10412, -13904, -17396, -20888?\n\"Answer: -3492*h + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, z: 7}. Give prob of picking 1 j and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -436*q**3 + 5*q**2 - 5*q + 69. Let c(j) = -654*j**3 + 7*j**2 - 7*j + 104. Let a(o) = -5*c(o) + 7*i(o). Find the first derivative of a(v) wrt v.\nAnswer: 654*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 2, r: 3}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 times 0.206?\nAnswer: 0.005356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 2*w - 184. Calculate the remainder when 1*34*(-2 + 4) is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*y = 0. Let q = y + 12. 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 77 minutes before 2:33 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -948513 > -948513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 903768762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 2. Let c be (-18)\/12*2 - (-1 + -4). What is t(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/3, 13\/5, -50?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 1:01 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 43001343?\nAnswer: 43001351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2171 = -4*i, 3*r = 3*i - 120 + 2286. Is 47 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 7. Let q be w(-5). Suppose 3*m + 2*i = q, 4*m - 3 - 7 = -3*i. Let b(r) = -7*r + m*r + 0*r**2 + 2*r + r**2. What is b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 less than 33876?\nAnswer: 34426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1) + (-2 - 0). Put 5, 3, -5, d in ascending order.\nAnswer: -5, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7504543*c**2. Let f(b) = -25*b. Calculate z(f(g)).\nAnswer: 4690339375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, 7.1, 0 in ascending order.\nAnswer: 0, 7.1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o - 2*a + 52378, -3*o = 4*a + 39300. Is (-7)\/(140\/o)*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -390 + 389. Is -1\/913 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 10. List the prime factors of l + -9*(-2 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 6 (b) -0.36 (c) 205 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 6. Let p(y) = 11*y - 16. Let h(n) = 8*c(n) + 3*p(n). Let w(x) = -16*x. Determine -56*h(o) - 4*w(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 6)*(-2*i + 3 - 3).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21745 = n, -2*c + 8778 = -3*n + 93. Suppose z - c = 4381. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93803 at most as big as -93955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626711090.\nAnswer: 2, 5, 362671109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -333 - -2?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264 - -167. Let k = 96.903 + l. What is k rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162*-64547\nAnswer: 10456614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -8. Suppose z = 5*b - f, -3*z - 5 = -5*b - 4. Suppose -m - z*s = 7, -s - 1 = 5*m - 3*s. Sort 5, -4, m in increasing order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from 132394.1.\nAnswer: 132394.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (30\/9 - (-4)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2125, -4245, -6363, -8479?\n\"Answer: i**2 - 2123*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2035+-7.38\nAnswer: -2042.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146*((-323)\/(-2))\/19 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -12. Is -2\/5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -226?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*v - 44109 = 8844, 2*m = 4*v + 35284. List the prime factors of m.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -642213*x**3 + 429*x**2 + 8151. Let w(k) = -3001*k**3 + 2*k**2 + 38. Calculate 4*a(t) - 858*w(t).\nAnswer: 6006*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 36.244.\nAnswer: -289.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.9768 + 62. Let f = -18.9732 + d. Let k = f + 19. What is the third smallest value in 0, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - h + 131, 0 = -h - 1. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 454952.2 kilometers?\nAnswer: 45495220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 19\/((-1729)\/(-4229719)) - (-6)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79256 is divided by 549.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87890, 87897, 87906, 87917, 87930?\n\"Answer: r**2 + 4*r + 87885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210220 - 1020?\nAnswer: -1212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 50. Suppose -o - 15 = r - 4*r, -4*o - h = -5*r. Suppose 3*t + 4*v = 137, r*v - 84 = -4*t + 97. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7333649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 4*k**2 - 2*k**2 + 0*k**2. Let r(a) = 19*a - 8*a - 10*a. Give r(q(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 122*f**2 + 122. Let y(o) = -o**3 + 2. Let q(h) = x(h) + 3*y(h). What is the first derivative of q(d) wrt d?\nAnswer: 3*d**2 - 244*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - 11. Let h = b - 42. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42993 and 36?\nAnswer: 171972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -169\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 4:45 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 > 2\/1375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 101*r + 75. Let s(c) = -3*c**2 + 304*c - 226. Let w(y) = -6*s(y) - 17*v(y). What is the derivative of w(i) wrt i?\nAnswer: 2*i - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l + 0*l + 28673 = 28429 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*c = -84*c + 124 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - l + 57, y = -y - 5*l + 105. What is the least common multiple of y and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 87.999998772. Round u to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**3 + 9*p + 0*p**2 - 1\/12*p**4 - 2. Let h(m) = 2*m**2 - 22*m. Calculate h(d(j)).\nAnswer: 2*j**4 + 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202? (a) -0.1 (b) 0.5 (c) -2\/3 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n**3 - 57*n**2 + 78*n + 39. Is h(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/42 + (-10)\/175*-20455. What is the greatest common factor of 45 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6900*d**2. Let q be u(10). Round q to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1472 - 0.8528. What is the third biggest value in n, -2\/5, 0.19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 69*j - 33. Calculate y(-23).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 30 + 7 - (118 + -101)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193404 and 42600?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1414 + -57976\/41. Let b = -5 + 4. Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 150, 522, 1238, 2412, 4158?\nAnswer: 6590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144536 and 12.\nAnswer: 433608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21924 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 17. What is q(9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 24245.\nAnswer: -3\/24245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 184.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30069 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-40) + (-14)\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3803352 and 0.4.\nAnswer: -1521340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 - 274. Let o(s) = 7*s**2 + 84*s - 244. Let a be o(3). Let w = r - a. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from skkkkkksksksskss.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/22))\/l*l*l**(2\/3)*l**(8\/9)\/(l**(-7)*l) assuming l is positive.\nAnswer: l**(1901\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 47 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**2 - 21*j + 32\/3*j**3 - 31. Find the second derivative of k(b) wrt b.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - c + 1 + 2*c + 7. Let w be q(4). Suppose -2*d - 8 = -w*r - 0, -2*d - 4*r + 16 = 0. Solve -f = n + d*f, 4*f + 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05094631 * -246.\nAnswer: 12.53279226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233640618.\nAnswer: 2, 3, 2333, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41298, -41300, -41302, -41304?\n\"Answer: -2*z - 41296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110110 + 1011?\nAnswer: -1010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 18. Let z(a) = 2*a**3 - 5*a**2 + 2*a + 1. Let n be z(3). Let k be n\/b + 2 + 1. Let h(v) = -v**3 - 4*v**2 + 7*v + 6. Determine h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 15*x**3 + 8*x**3 + 2*x - 2*x - x**3 - 3*x**3 - 4 + 4 + (2 - 3 - 1)*(2*x - 2*x + x**3).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 899, 900, 903, 908, 915, 924, 935?\n\"Answer: q**2 - 2*q + 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2718.\nAnswer: -10872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*l + 248, -l + 4*l = -2*i - 116. Let p be (-112)\/i - 2\/13. Suppose 11 = p*n - 5. Solve -v = 3*v + n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5130\/(-133))\/(-27))\/(2\/(-1)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let l be a(-1). Let i = 8 - 16. Let j be i\/(0 - (3 + l)). Solve 0*o = j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine fifths of a century?\nAnswer: 14160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53737, -5, -28 in increasing order.\nAnswer: -28, -5, -0.53737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33867883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 7*u. Suppose u = 21*f - 20*f - 199. List the prime factors of f.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 3*s**3 + 2*s**3)*(-3*s + 5*s + 4*s) + (-2*s**2 + 2*s**2 - s**3)*(-3*s - 5*s + 6*s) - s**4 - s**4 + s**4.\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102233 is divided by 11061?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.6512946 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -56819, 5 in decreasing order.\nAnswer: 20, 5, -56819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/12)\/((-2)\/49479). Suppose -2*j = -2, -2*j + k + 105037 = -5*s. Let n be (-160)\/3*(0 - s). Round n to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:52 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1663890 and 5550.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.897 - 94. Round j to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -72*h - 36. Suppose -2*o = -6*o - 176. Put h, o, -4 in decreasing order.\nAnswer: h, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -2*u. Let h(r) = 51*r - 1348. Calculate the remainder when h(27) is divided by (-2)\/u*18\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 1 + 2*x**2)*(1 - 1 - 7*x).\nAnswer: -14*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*1098\/(-1584)*781\/71?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*h = -16, -11*h = -12*h. Suppose -372 - 96 = u*j. Which is bigger: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3620, -7381, -11306, -15401, -19672, -24125, -28766, -33601?\n\"Answer: -n**3 - 76*n**2 - 3526*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*i + 40, -5*t = 3*i + 4 + 1. Let k(a) = 87501*a**3 + 4*a**2 + a + 4. Let q be k(t). Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -76\/20095517 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 19 + 20)*(s + 2*s + 0*s) + s - 5 + 0*s + 3.\nAnswer: -122*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177958395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 + -1.35. Sort 0.8, w, 3, 1 in descending order.\nAnswer: 3, 1, 0.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 - (6 - (3 - -1)))) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344878?\nAnswer: 2, 172439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2004 and 0.4501.\nAnswer: 902.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.047931 milliseconds to seconds.\nAnswer: 0.003047931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 1\/80*f**5 + 209*f + 5\/24*f**4 + 3\/8*f**3 + 0*f**2. Solve y(o) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 4*h**3 - 68)*(5*h**2 - 9*h**2 + 35*h**2).\nAnswer: 124*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**2)\/d*d*d)\/(d*d**10))\/((d**(16\/5)*d)\/(d\/((d\/d**(-8\/5))\/d)*d*d)) assuming d is positive.\nAnswer: d**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = n + 6*i - 12, -5*n - 5*i = -30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4660 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 3.3. Suppose -7*q + 3 = -4*q. Let i be 4\/7 - q - -1. What is the second smallest value in -1\/2, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4460 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cicc when four letters picked without replacement from {i: 3, c: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103231 (base 5) to base 10.\nAnswer: -3566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 10*n + 13*n - 8*n**2 - 2*n**2 - 9. Let d(y) = -3*y**2 + y - 4. Give 4*a(f) - 9*d(f).\nAnswer: -f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 16*a**2 - 7*a + 18. Give y(-16).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-2)*186\/(-589)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 38 = -4*d. Suppose -4*v + 11 = -5. Put d, -6, v in ascending order.\nAnswer: -6, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250)*-2 + sqrt(250) - -6*(sqrt(10)*2 - sqrt(10)))*-6)\/(-1*1*sqrt(245)*-6))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 2*i)*(-3*i + 7*i - 2*i)*(i - 2*i - i)*(0*i - 3*i + 4*i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 983.8229 nanoseconds?\nAnswer: 0.0009838229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -199. Suppose 0 = c - a - 107, -c + t = -0*a - 2*a. Suppose 0 = v - c - 7. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 12*u**2 + 9*u - 24. Let a be q(-11). Let y(r) = -r**3 - 3*r**2 - 2*r - 2. Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 264\/(-20) + 6 - 18\/(-3). Suppose -106*i - 12 = -108*i. Which is the smallest value? (a) i (b) -13 (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-3\/7)*w)\/((w*w**(3\/7))\/w)*(w**(-2))**(1\/10))**(18\/7) assuming w is positive.\nAnswer: w**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168631\/15 - -11248. Find the common denominator of ((-2)\/4)\/1*259\/(-14) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 16) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*g + 2*g - g + g + (0 + 3 - 2)*(g - 2*g + 2*g) + 3 + 2*g - 3 + 0*g + 2*g - g + (-2 + 1 + 3)*(3*g - g - g) + 3*g - 4 + 4 + g + 5 - 5.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -14. Suppose 3*i = -u + 19 - n, -5*i = -u - 23. Solve 4*j - p - 16 = -i*p, -5*p + 16 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + 2 + 44800\/(-7360)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven halves of a day?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {t: 10, a: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 2098876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/23 (b) 1\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -625778, -625779, -625780?\n\"Answer: -l - 625777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/(w\/w**(-1)))\/((w**(-7)*w)\/w*w**12))**26 assuming w is positive.\nAnswer: w**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 11*a = -50. Solve -a*v + 4*v = -n + 5, -4*n + 12 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 4*(sqrt(119) + (sqrt(119) - sqrt(119)*-2)))\/((sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(7))*-3)*-2.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4)*-2)\/(170\/(-425))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, g: 1, b: 3, d: 2, m: 2, f: 3}. What is prob of sequence fdxb?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 127 - 11*n**2 + 107 + 11*n**2 to u*n + l*n**2 + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 111016502 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -47*q + 6. Let o(y) = 437*y + 435*y + 432*y - 1288*y. Determine o(f(g)).\nAnswer: -752*g + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.22 and 19.5.\nAnswer: 62.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 3087 (c) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = 3. Let f be ((-25)\/(-15))\/(g\/(-6)). Factor 4*o**3 + 3*o**2 - 3*o**2 + 18*o**4 + 14*o**f.\nAnswer: 2*o**3*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/3, 53, -1\/2, 5, 0.11, 0?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5921\/399 + 104\/7. Let t = s + -7\/57. Are 0 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*t - 19370 + 222358, -k + 3*t + 101504 = 0. Suppose 5*r = 2*q + k, 4*r - 82517 = -3*q - 1314. What is r rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*g**3*t**2 - 105*g**3*t - 16853*g**2 + 2*g*t**2 wrt g.\nAnswer: 372*t**2 - 630*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353 = -20*w + 6*w + 11*w. Calculate the remainder when w is divided by 439.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 3. Let y be h(-2). Let q be -2*5\/(10\/y). Let a(c) = -3*c - 5. Let n be a(q). Solve n*z + z + 3*m + 12 = 0, 5*z - 4*m = 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57638 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and -2?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9015753 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -38, 68, 0.11, 0.07, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/128915 and -44\/69.\nAnswer: 386745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(1\/2)*i)*((i\/i**(-1\/3))\/i)\/i*i**(-3\/7)\/i*i**(-6))**(-33) assuming i is positive.\nAnswer: i**(3509\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, l: 2}. 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: What is the next term in -465, -1900, -4295, -7650, -11965, -17240?\nAnswer: -23475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/10)\/((-112)\/80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.502?\nAnswer: -1.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 140 = 5*b - b, 0 = -5*b + 25. Suppose -13*t + 4564 + 7019 = 0. Let s = t + -886. Calculate the greatest common divisor of m and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 754000 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -998.6 - -999. Let z be (-4)\/(-11)*2\/4. Which is the closest to 0? (a) z (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265170.3 litres to millilitres.\nAnswer: 265170300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 33129*w**2.\nAnswer: -3*w**2*(w - 11043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 12. Let c be 9 + (v - -2 - -2). Solve -7 = -d - 2*w, 5*d - 5*w + c = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42902 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/3*s + 25\/6*s**2 + 1\/6 = 0. Calculate s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 1 - 2 - (-2 - 0). Let s = i + 21. Solve -6 = 4*p - s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7560 is divided by 630.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 + 12550990*i + 7876367499005 = 0.\nAnswer: -1255099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + 20\/94. Let n = -4699\/5076 + i. Let b = -857 - -23134\/27. What is the common denominator of b and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 2. Let o(w) = -5250*w. Give o(v(b)).\nAnswer: 15750*b - 10500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 30218. Let t(z) = z**2. What is i(t(u))?\nAnswer: 7*u**2 - 30218","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002703893 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 334 - (3 + (-1 - 7)). What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.1 - 521.9. Let h = -534.17 - g. Let q = h - 0.83. Which is the smallest value? (a) q (b) -2 (c) 1 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601904267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2972*q - 2. Let b(l) = -1489*l + 1. What is 11*b(a) + 6*z(a)?\nAnswer: 1453*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3401 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 46*l - 19 - 20*l + 1 + 2 in the form u*l + v and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 7*q**2 + 4*q - 7. Let x be t(-6). Suppose -a + 30 = 5*s + 12, -2*s = a - 9. Let u = 0 + 0. Solve -27 = x*r + a*l, 5*l - 5 + 25 = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4224 - -4208. Let s = -0.4 + -0.1. Which is the third biggest value? (a) s (b) 2\/3 (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (4 - 3) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073525940294 less than 14?\nAnswer: 13.926474059706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116512307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + c, 5*h - 3*c - 14 = -18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -32?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + -29 + 31 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68791, 137582, 206373, 275164?\nAnswer: 343955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612344.\nAnswer: 2, 76543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 50*z**2 + 3*z - 4. Let n be b(25). Differentiate -172*f + n + 343*f - 83*f**3 - 171*f with respect to f.\nAnswer: -249*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094541348*z**5 - 780090023*z**2 wrt z.\nAnswer: -65672480880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88897, 89237, 89577, 89917, 90257, 90597?\n\"Answer: 340*y + 88557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99545076 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 = 5*c + 10, 5*t - 11 = -4*c. Let g be 2*3*t\/18. Let j be (-2 - -3) + (0 - g). Solve 3*z + 4 + 2 = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1155916 * 0.211\nAnswer: -0.0243898276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + 6*(sqrt(275) - (sqrt(275) + sqrt(275) + 5 + sqrt(275) + -1*sqrt(275))) + -1)*-6)**2.\nAnswer: 77760*sqrt(11) + 403057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 2499?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let y(b) = 3*b - 6800. What is y(p(j))?\nAnswer: 6*j**2 - 6800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-24)*d)\/(d\/(d\/d**(-11\/4))) assuming d is positive.\nAnswer: d**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3236, 3248, 3268, 3296, 3332?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/161, -1\/7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100020067 + -1\nAnswer: 100020066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 178, 0 in ascending order.\nAnswer: -2, 0, 2, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 + 6*j - 5. Let t be m(-7). What are the prime factors of t + -2 - -10 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77)\/(sqrt(112)\/sqrt(4)) + -6*sqrt(33)\/sqrt(3)*1)*2.\nAnswer: -11*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (6 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgggddddddddggddd. What is prob of picking 1 g and 2 d?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 2*l**2 + (0*l**2 + 2*l**2 - 4*l**2)*(7 - 5 + 2) + (-17 + 17 - 6*l**2)*(0 - 2 - 5) + (0 - l + 0)*(0*l + l - 3*l) as z*l + k + v*l**2 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y + 345. Suppose 0 = -u + 107 + y. Suppose -5*f + 2*h = -80, 77 = 4*f + 5*h + 13. What is the greatest common divisor of u and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16533257*i**3 + 3901*i**2 + 8*i + 88 wrt i?\nAnswer: 99199542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*o**3*x**2 + 10*o**3*x + 605*o**2*x**2 + 3*o**2*x + 27*x wrt x?\nAnswer: -28*o**3 + 1210*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*r**3)*(-6*r**2 + 21*r**2 + 21*r**2) - 3*r**5 + 6*r**2 - 6*r**2.\nAnswer: 69*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) + 76\/(-28). Let a = c - -3. Suppose -5*q - 4*u + 6 + 532 = a, 5*u = -3*q + 315. Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*d = -111, 3*f + 0*d = 2*d + 111. Suppose 0 = -c - z + 12 + 49, 0 = 3*z. Let r = c - f. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1722 by -1317.\nAnswer: 574\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 5, t: 1, w: 1, v: 1, b: 3}. Give prob of picking 2 g and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341 (base 6) in base 16?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-4)\/50*3870\/129\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 77226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 of a week in minutes?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*6 - -6. Suppose -5*w = -k - 7, 0 = 5*w + k - 10 - t. Let c(h) be the third derivative of -h**5\/20 - h**4\/24 + 2*h**2. Calculate c(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/(b\/(b**2*b)))\/(b*b\/(b*b**(-4\/11)*b)*b*b\/((b**(-8)\/b)\/b)*b))**(6\/23) assuming b is positive.\nAnswer: b**(-1080\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -159271*0.8\nAnswer: -127416.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, -5, 0.1, 25, 0.0533 in descending order.\nAnswer: 25, 2\/9, 0.1, 0.0533, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5, -3*w - 11 + 10 = 4*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 1.1, 0.3, 22982.22 in increasing order.\nAnswer: 0.3, 3\/8, 1.1, 22982.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 16*a**2 - a - 12. Let x be y(-16). Solve 0 = j - 3*z - 0*z + 9, 4*j - x*z + 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173264 is divided by 19228.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456948*t - 456845*t + 2575 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5364 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8078, -8075, -8070, -8063, -8054?\n\"Answer: s**2 - 8079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:37 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/5)\/7)\/((-50)\/(-125)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:08 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1373 + -1374. Let z = 197\/216 - 1\/27. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 - 11*i - 12. Let t be h(-1). Suppose t*w + 3*d = 50 + 46, -33 = -w - 3*d. Solve 5*z + w = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 22, -1, 3, 29, 1 in descending order.\nAnswer: 29, 22, 3, 1, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*36\/(-84) + (-1)\/(-1). Suppose 5*o = -d + 5415, -7*o + 2*o - w*d + 5400 = 0. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + 46 + (-1 - (-1 - 22)) + -12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + 923?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4843.743 millilitres?\nAnswer: 4.843743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*l - 115*v + 118*v, 5*l + v + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 55*q**3 + 115*q**2 + 175*q.\nAnswer: 5*q*(q - 7)*(q - 5)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -5. Suppose -14*q = -y*q - 546. Suppose 0 = 5*z - a + 104 - q, -4*a = -12. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5*y**2 - 15 + 2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 9. Suppose -4*p - 10 = -3*p. Let c = 17 + p. Let w(u) = -6*u - 10. Let d(b) = c*r(b) - 6*w(b). Give d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 56. Let c(j) be the third derivative of j**4\/12 - 9*j**2. Calculate c(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 - 3*h**2 - 2*h. Let o be j(-1). Let w = o - 8. Let k(m) = -4 + 2*m**3 - 4*m**2 + 7*m**3 - 10*m**3 + 0 + 6*m. Calculate k(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 935.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4 + 3 - 4 - 3 + 2 - 1 + 0 + (1 - 1 + 2)*(-3 + 5 - 1) - 4 - 1 + 3)*(6*f - 5*f - 2 - 4).\nAnswer: -4*f + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 369 + -376. Let w(l) = -l**3 - 5*l**2 + 14*l - 9. Give w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/81 - (-4344)\/(-216).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 8*c + 4. Calculate l(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8403021 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - j. Let b(i) be the third derivative of -179*i**2 + 0*i + 7\/24*i**4 + 0*i**3 + 0. Determine n(b(y)).\nAnswer: -147*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503168 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let j(m) = 2*m - 3. Let h = -6 - -3. Let w(n) = 2*n - 2. Let u(a) = h*w(a) + 2*j(a). What is u(z(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 192 = 0. Suppose 104 = 3*w - x. What is the tens digit of w\/4 + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910419.7 rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*j - 5*x, 3*j - 53 = 2*j + 2*x. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002225072 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 0. Suppose o - 3 = -b. Let v be ((0 - -36)\/3)\/1. Solve 0 = -o*u - 2*g + v, 6*u - 2*u + g - 11 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 921, 3440, 7575, 13326, 20693?\n\"Answer: 808*w**2 + 95*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - (sqrt(960) - (6*sqrt(960)*1 + sqrt(960))))\/(6*sqrt(144)\/(sqrt(12) + -1*sqrt(12) - sqrt(12))) + -5)**2 + 3.\nAnswer: 140*sqrt(5)\/3 + 1232\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5945\/41*(-10)\/(-15)*(-4)\/40.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -85, -118, -153, -190?\n\"Answer: -q**2 - 28*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3015 - 2529.5. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6*a = 22. Suppose 13*o = a*o + 10. Solve -4*d = d + o*r - 5, -5*d + 5*r = 45 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9, 0 = 2*l - 3*f + 5 - 2. Suppose 5*a = -l + 33. Suppose -99000 = a*v - 3*v. Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/135 + 5*w**4\/27 - 19*w**2 - 4*w. What is p in v(p) = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 227181, 227191, 227209, 227241, 227293, 227371, 227481, 227629?\n\"Answer: o**3 - 2*o**2 + 9*o + 227173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9412068 and 12?\nAnswer: 9412068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4429406605 to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 519?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*a**5*k - 148*a**4*k**3 - 36*a**2*k**3 - 805*a**2 - a*k**3 wrt a.\nAnswer: -7620*a**2*k - 3552*a*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490849809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.111 - 8.211. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 46. Suppose 0 = h - 2*h + q. Suppose 3*o - 2 = h. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 54*t**2 - 5*t - 8. Let y(h) = -h**2 + h + 1. Let s(l) = -d(l) - 6*y(l). Let f be s(2). List the prime factors of f\/(-9) - (-2)\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 62 = -16. Suppose -k + 4*k + a = 28, a = -4*k + x. Suppose -3*q = p - 33, q - 3*p = -0*q + k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654069.\nAnswer: 3, 13, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 213746 - 328944. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*z - 964, -2*z - 65 = 2*y - 681. Let c = y - 249. Is 32 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349622326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*z + 5 = -514*z - l, -3*z = -3*l + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*n**5 - 13*n**3 - 3*n**2 + 28 wrt n?\nAnswer: -1860*n**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*y + 1260, y - 2*y = -5. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108807?\nAnswer: 3, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9561 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: What is prob of sequence nbi when three letters picked without replacement from {o: 2, j: 7, b: 2, i: 2, n: 7}?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 509\/4 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1 + 5007\/(-12))\/((-159)\/1908) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -98\/3. Let s = -91 - -94.9. Let p = -4 + s. Is a != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 + v + 6. Let n be a(-7). Suppose -k + 15 = j, -4*j - 2 - 38 = -k. Let l = n + k. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/157620 and 53\/20.\nAnswer: 157620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let o be 6\/(3\/8*-2). Let k = w - o. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17009 + 25500. List the prime factors of x.\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.9 - 0.1. Let x = -1211 + 1210.9. Which is the second smallest value? (a) -3.3 (b) 1 (c) v (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -63, -161, -297, -471, -683?\n\"Answer: -19*l**2 - 3*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4100 (base 9) to base 4\nAnswer: -232311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32989, 1\/6, -4\/5 in ascending order.\nAnswer: -32989, -4\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - -46. Suppose -4*b + y - 284 = -4*r, 2*r = -4*b - 172. Is ((-16)\/(-5))\/((-6)\/b) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1493 = -7*c + 579. Calculate the least common multiple of 32 and c.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*o + 836 = 0, -8*v = -5*v + 2*o - 1242. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0)*3\/(-2). Let f = t + 0. Suppose -v - 3*v = -12. Sort f, v, 0.\nAnswer: f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 71*o**2 - 4947*o + 3170. Give r(69).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*x - 24 = -9, 6 = 5*z - 2*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let s(n) = n. Let d(l) = 4*s(l) - 5*x(l). Let i(g) = 11*g. Calculate d(i(j)).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8583410 and 1045.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 7. Suppose t*d - 2*n + 5 = 3*n, 4 = -2*d + n. Calculate the common denominator of d - -2 - 210\/(-66) and 44\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1372055.09 + 10.\nAnswer: 1372065.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76) + 2)**2.\nAnswer: 16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16403 and 0.16.\nAnswer: 2624.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3148, -12401, -27812, -49381?\nAnswer: -77108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710249086.\nAnswer: 2, 17, 20889679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 4*l + 7. Let h(k) = k**2 - k + 3. Let a(v) = -13*h(v) + 4*q(v). What is a(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*z - 16, -4*v + 2 = -3*z - 11. Let j(m) = 3*m + 2. Let s(g) be the third derivative of g**4\/24 + g**3\/6 + 2*g**2. Give v*s(n) - j(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1173550 (base 8) to base 9\nAnswer: -545424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3 + 44452*g**2 - 979880*g = 0.\nAnswer: -11135, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -144. Solve -14*x = -8*x + n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 229. Suppose 5*i - 3*n - 277 = a, 0 = n - 3. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1 - 2*g)*(5*g**3 - 2*g**3 - 5*g**3).\nAnswer: 4*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -5, -681, -2\/11, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (1*-2)\/(6\/(-9)). Let r be ((-11)\/a - 1) + 5\/20. What is the first derivative of 3*s**4 + s**4 - r*s**4 + 0*s**4 - 1 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2982562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - o + 160, -4*o + 0*o = -5*g + 400. Let i = -108 + 113. Calculate the greatest common factor of i and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-18))\/8*(-258)\/(-430).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -61. Find the second derivative of -4*p**2 + n*p**2 - 14*p + 3*p**2 - 3*p**2 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9859, 79136, 267037, 632830, 1235783, 2135164, 3390241, 5060282?\n\"Answer: 9878*p**3 + 44*p**2 - p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 5, 10, 0, 135292 in descending order.\nAnswer: 135292, 10, 5, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 5 = -33*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/(-12)*(-12)\/27. Suppose 610 = 5*p - 5*o, 5*p - o - 592 = -h*o. Let f = p + -63. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 - 2*a - 2 - 7*a + 22 - 2*a**2 - a. Let c be p(8). Solve -c*o - 28 = -44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:31 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*y = -6*y - 42, 3*u - 4*y = 22. Solve t + 5*c = -12 + u, 0 = 3*t + c + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-7 - -1). Suppose -3 = -x*c + 3. Determine u so that -2\/3*u**3 + 0 + 2\/3*u**4 + 2\/3*u - 2\/3*u**c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137975?\nAnswer: 5, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -60. Let s = 639 + -3208\/5. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjsjzzsznjzjjjozzn. Give prob of picking 1 z, 1 j, and 1 s.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 17*v**2 - v - 5*v**2 + 10*v**2. What is the tens digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5280460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:35 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -15, -2.\nAnswer: -15, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 6*y - 5. Let s = -12 - -8. Determine v(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 9*p - 8. Let i be g(8). Suppose 2*n + l = -47, -3 = -l - i. What is the remainder when (60\/n)\/(6\/(-80)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 7*z**4 - 10*z**4 + 5*z**2)*(0 + 1 + 1 + (-4 + 3 + 0)*(3 + 1 - 5))*(-z + 0*z - 2*z).\nAnswer: 18*z**5 - 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let d(j) = -3*j. Let f(s) = d(s) - 4*l(s). Let h(m) be the third derivative of m**4\/6 + 20*m**2. Determine f(h(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 187\/(-11) + 130\/8. Let r = -6 - -5.6. Which is the third biggest value? (a) o (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 22132013?\nAnswer: -22132013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 17*l**2 - 2*l - 13. What is x(-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 1. Let h(l) = -3*l - 12. Let w(m) = -2*m - 12. Let k(g) = s*w(g) + 3*h(g). Calculate k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 6*m + 1. Suppose z + 4*i - i + 9 = 0, 4*z - 24 = 3*i. Suppose -22 = 4*h - 170. What is the remainder when h is divided by k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9\/5)*k*k**(-2\/73))**19)**1 assuming k is positive.\nAnswer: k**(-5738\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 3*p = 719 - 923, -44 = 2*i - p for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 3)*(-5 + 5 - 2*w) - 1 - 3*w + 1.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*h**2 + 5*h + 18*h - 40*h**2 - 23*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60c7 (base 13) in base 14?\nAnswer: 4c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + -23 + (-221 - -270).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**(1\/9))*d**2*d*d assuming d is positive.\nAnswer: d**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342030404 (base 5) to base 3.\nAnswer: 2212002202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yljn when four letters picked without replacement from {r: 1, l: 2, b: 1, y: 3, j: 1, n: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y)**(1\/50)\/(y**(1\/5))**(-6\/13) assuming y is positive.\nAnswer: y**(133\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(52)\/sqrt(4) + sqrt(832)*2 + sqrt(832))**2.\nAnswer: -150*sqrt(13) + 8134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -112. What is the greatest common factor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32.999. Let c = z + -0.02. What is c rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 2 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 34*l + 4054 = 3984, 4*l - 24 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -16*a + s, s = -5*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) - sqrt(875)*-1)\/sqrt(7))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0097930774 to four decimal places.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 51*t**2 + 53*t - 138. What is c(50)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 2603 = -1159. What is the remainder when p is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 37*s - 2. What is t(-4)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 18. Suppose -19 = 3*x - 4*p, -3*x + 1 - g = 3*p. Let m be 9\/(-2)*35\/210. What is the third biggest value in x, m, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5\/4 + 82143*p**4\/4 - 1231587*p**3\/4 + 3201933*p**2\/4 - 1518831*p\/2 + 246294 = 0.\nAnswer: 1, 12, 27366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u = 0. Let s(g) = -g - 4. Let v be s(u). Let d(o) = -2*o + 3. Let b(z) = -z + 2. What is v*b(n) + 3*d(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = -5*v + 12, 4*v = 4*j - 24. Let f = j + -4. Suppose f*n + 3*n = 30. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6381090323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z**3 + 2*z**2 - z + 1. Let q be o(1). Let d(v) = v**3 + 11*v**2 - 14*v - 4. List the prime factors of d(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/((-2354)\/471 + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8938894, -35755564, -80450008, -143022220, -223472194, -321799924, -438005404?\n\"Answer: x**3 - 8938893*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 4. Suppose -3*q - 274 = -2*a - 2*a, -2*a - q = -132. Suppose -8*y + 4*y - a = p, -293 = 5*p - y. Let i = p + 63. What is h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -l - 2, 3*n + 4 = l - 0. List the prime factors of -2 - -2 - l*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42657558 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/37 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1}. What is prob of sequence ud?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 times 138006\nAnswer: -8694.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -269857741 minus -4321?\nAnswer: -269853420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118216108901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29923? (a) 2 (b) 65 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4878 - 1876 = -2259*y + 2180*y for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -49*k**2 - 5*k + 70. Let m(f) = 20*f**2 + 2*f - 27. Let c(v) = 13*m(v) + 5*o(v). Let x(h) = 46*h**2 + 3*h - 3. What is 11*c(s) - 4*x(s)?\nAnswer: -19*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q + 2. Let a(k) = -8*k - 1. Let f = -1413 - -1420. Determine f*a(n) + 4*h(n).\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 2 (c) 4\/3 (d) -0.4 (e) -4 (f) 3928\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22826\/25 greater than -914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 + 4)*(-2*c + 2*c - 2*c**4) + 2*c**4 - c**4 + 4*c**4.\nAnswer: 19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*l - 126*l + 174*l + 72*l + 13950 = 0 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*s - 207857 = -181357 for s.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 320. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 3, n: 1, y: 4, q: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 9. Let w be h(-4). Let c = w - 20. Suppose 266 = 3*m + 5*x, c*m + 2*x - 254 = -0*x. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-8)\/(-30)*-5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (12 + -4 - 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:59 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.071, 1\/4, 5 in increasing order.\nAnswer: -0.3, 0.071, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 86 - 45 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-564)\/(-18))\/47)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l - 54. Determine f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1153 divide 10689463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/20)\/(-12*3\/(-90))*(-2200)\/450.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1438 - -1708.4. Let b = w + -240. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -22*l**3 - 39*l**2 + 1260*l + 4525 = 0.\nAnswer: -5, 181\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 35 + 5. Let b = 48 - a. What is the highest common divisor of 80 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110892915.\nAnswer: 3, 5, 7, 43, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzm when three letters picked without replacement from mnnnhssbzmm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qzxsg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -45.8. Let u = q - -7.18. Let r = 0.02 + u. Which is the closest to 1? (a) -3\/16 (b) 2\/23 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 2. Let m be z(-1). Let o = 3 + m. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2271 - 2227. Let s(t) = 2*t - 83. Calculate s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 10*y**2 + 3*y - 5. What is the remainder when a(-9) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2076.66 microseconds?\nAnswer: 0.00000057685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w + 58*w + 23 = -m, 5 = -5*m - 2*w. Put m, -16, 0, 3 in increasing order.\nAnswer: -16, m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2899, 2893, 2897, 2917, 2959, 3029, 3133, 3277?\nAnswer: 3467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 - 0\/(-12). Is 10 a factor of 1 - (s + -54 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 - 7*g - 7. Let x be l(-5). Which is the closest to 0.1? (a) 0 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoiokcc. What is prob of sequence xco?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5744 by 2872.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -29, 5\/2, -310, 5, 2\/3, 2\/13?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z*z**(-1\/13))\/z)\/z*z)\/z)**(2\/75))**(-49) assuming z is positive.\nAnswer: z**(98\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose 6 = -6*r + q*r. What is the units digit of 49\/(-2)*(r + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31863279?\nAnswer: 3, 7, 216757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*m*o**2*x + 52*m*o - 76*m*x + 2*m - 2*o**2*x + 5*o wrt o.\nAnswer: 10*m*o*x + 52*m - 4*o*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.1 + -11.1. Which is the nearest to j? (a) -2\/3 (b) 1 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**4 + 0*x**3 - 4\/105*x**7 + 0 + 2*x**2 + 0*x + 1\/20*x**6 + 1\/30*x**5. Factor q(l).\nAnswer: -2*l**2*(l - 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 4*z + 1. Let w(p) = -107*p**2 + 4*p + 814. Let l(t) = -u(t) + w(t). Differentiate l(o) wrt o.\nAnswer: -220*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -987, 5, 997, 1989, 2981, 3973?\nAnswer: 4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 393 (base 13) to base 3\nAnswer: 212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/5 + 38884*x**4\/5 - 11203238*x**3\/5 + 22289816*x**2\/5 - 11125464*x\/5 = 0.\nAnswer: -19726, 0, 1, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -350, -766, -1306, -1976, -2782, -3730?\n\"Answer: -v**3 - 56*v**2 - 241*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 16 = -11. Let z = 8 - r. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 4*b - 2*n + 62 + 213, -313*b + 6*n + 66 = -314*b for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*n, 0*n + t = 5*n + 13. Let a be n\/5*(1 + 4\/(-24)). What is the biggest value in -3, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1332 + -1104. Calculate the greatest common factor of 16 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/11 - 984\/(-33). What is the units digit of (8\/10)\/(4\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2022411 divided by -2\nAnswer: -2022411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -178. What are the prime factors of (331 - (-3 - p))*2\/2?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -6272133171.\nAnswer: -6272133167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -250496 divided by -206?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-16) + (-12 - (-3 - (8 - 6))). Sort y, 4, 60, -5, -3 in decreasing order.\nAnswer: 60, 4, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192))*1*-4.\nAnswer: -32*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 6*s. Let z be (20\/30)\/((-1)\/(18\/(-32))). Which is the closest to 0? (a) s (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*z + 230*z - 463*z + 65 = 5*x, 2*x = 3*z + 23 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - o + 12. Solve o*s - 12 = -4*x, 4*x - s - 20 = 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5))**(-41)\/(a**6\/(a\/((a\/a**0*a*a)\/a)*a)))**(-39) assuming a is positive.\nAnswer: a**(-2028\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 2)*(46*k - 88*k + 103 + 44*k).\nAnswer: 20*k + 1030","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1483287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124\/9*y + 2\/9*y**2 + 1922\/9.\nAnswer: 2*(y + 31)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -u - 4*n + 30, 3*n - 208 = -4*u. Let l = u + -47. Solve l*f = -5*c + 35, 5*f + c - 22 = 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/12 - 9*q**2. Let a(g) = -56*g**2. Determine b(a(i)).\nAnswer: 112*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:23 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-6)\/(-10)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -161, -321, -481?\n\"Answer: -160*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 17}. Give prob of sequence oe.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -43617361*v. Let r(u) = 2*u**2. Give d(r(b)).\nAnswer: -87234722*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = 7*h. Let a be 8*h\/(-2) + 384. Let d = -194 + a. What are the prime factors of d?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598\/30 - (-2)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124188778 by 62094389.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-88 - 106) + 84?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8694897 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99137415.\nAnswer: 3, 5, 13, 163, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -845*d**5\/2 - 307905*d**4\/2 + 10012845*d**3\/2 - 81173575*d**2\/2 + 23572500*d - 3555000 = 0. What is d?\nAnswer: -395, 4\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007885 rounded to 5 decimal places?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 40551167*q**2 + 2 + 2*q + 40551724*q**2.\nAnswer: 557*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 96*f**2 + 2*f. Let h(j) = -98*j**2 - 3*j. Give 6*a(v) + 7*h(v).\nAnswer: -110*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 - 508 - (0 + -15) - (35 + 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14962602 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(37*36\/10656)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -380 - -384. Suppose w + 2*w + 909 = 0. What is the hundreds digit of (-3*w\/(-18))\/((-1)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 4. Let m(f) = -2*f**2 + 6*f**2 - 13 + 3*f + 9 + f**3. Let x be m(-3). What is the tens digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/18)\/(2\/(-51)). Let n(a) = -a**3 + 2*a**2 + a + 1. Let j be n(2). Let g = 5 + 0. Solve 5*x + g*f + 21 = x, y = -j*x - 4*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64947\/2381 smaller than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.04437 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 56*w**2 + 55*w + 111. Calculate j(57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100997007 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/13 (b) -0.2 (c) 32674 (d) 0.05 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130 + 125. Put -1\/3, p, 1\/6 in increasing order.\nAnswer: p, -1\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + 2 - (sqrt(3)*1 + sqrt(3) + -4) - (((sqrt(768) + sqrt(48) - sqrt(48))**2 - sqrt(48)) + (sqrt(6)\/(sqrt(4)\/sqrt(2)))**2)) + 1.\nAnswer: -763 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8.9 (b) -1\/4 (c) -4 (d) -1 (e) -2 (f) 31 (g) 5\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, 10, -5, -133, -3, 2 in decreasing order.\nAnswer: 10, 2, -3, -5, -133, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16713)\/(-81) + 3)\/(13\/9 - 1). Solve 466*b - 25 = x*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 294*p**5\/5 + 1791*p + 2795. Differentiate s(h) wrt h.\nAnswer: 1176*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44750677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.11709 (b) -0.01 (c) -4\/3 (d) -3\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*m = 26, -2 = -4*a + m + 2. Suppose 7*l = 2*l. Let p(h) = 8*h + 45. Let q be p(-6). Put a, l, q in decreasing order.\nAnswer: a, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/n**(-3\/13)))\/(n*n**(7\/8)\/n))**(-13\/5))**(1\/3) assuming n is positive.\nAnswer: n**(73\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 - 70 = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263169463 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: Suppose -74*a - 3654 + 5356 = 0. Solve 5*g + 12*y - 8*y - a = 0, g - 5 = -y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 14*n = -3*m + 2701, 4051 = 3*n + 4*m. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -732*t + 3155. Let a(c) = 284*c - 1262. Let v(k) = 13*a(k) + 5*h(k). What is v(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (65\/(-10) + 2)\/(2\/(-4)). Let k be (6\/z)\/(20\/18). Let p = 507\/7 - 72. What is the smallest value in -2, k, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 2*c**2 + 4*c**2 - c**2 + 550*c**4 - 549*c**4.\nAnswer: c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -111. Let d be (j + 8 + -3)\/(-5). Suppose 2*z - 17 + d = 4*m, z = m + 12. Solve 0 = -10*o + 14*o - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 3*y**2 - 3*y + 2. Let c be g(3). Suppose 2*z + 0*z + 100 = -5*s, -z - 20 = s. List the prime factors of (1\/(-5)*c)\/((-4)\/s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, o: 2}. What is prob of sequence do?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23*(-429)\/897 + 882\/(-80)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 + -153. Suppose 2*f - w = 2*n, -11*f = -5*n - 8*f - 11. Which is the fourth smallest value? (a) -3 (b) -1\/2 (c) 0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/15))\/(c\/(c\/c**(-4)*c)))**(-2\/39) assuming c is positive.\nAnswer: c**(-176\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 403951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -t - 775, 0*i = 3*i - 2*t - 1160. Let u = i + -83. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 - 16*o - 4. Let b be g(-8). Let x = b - -594. Suppose 0 = 3*c - 15 - 0. What is the remainder when x is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 15 = -3*t, 2*t = 2*n - 3*t + 25. Suppose -h + 9 = 3*i, -h = -i - n*i - 5. Suppose 36 = h*x - 24. Solve 2*s + 4 = -p, 0*p - 5*s - x = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 4)*(r + 12*r + 6*r).\nAnswer: -152*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 5)*2\/(-5)*-1. Calculate the remainder when 2 + k + (47 - (-4)\/2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*m**3*t - 12*m**3 + 325959*m**2*t + 16*m**2 - m - 299 wrt t?\nAnswer: 126*m**3 + 325959*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100110000?\nAnswer: 100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - (-4 - (12 + 6) - -4 - -14)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 21. Suppose 9*g - h*g = 24. Calculate the highest common divisor of 42 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 5, 3, 2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -658790 to the nearest one thousand.\nAnswer: -659000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 - 3*t - 7. Let l be ((-105)\/(-12))\/(320\/512). Let z(y) be the first derivative of -4*y - y**2 + 5\/3*y**3 - l. Give 4*u(w) - 7*z(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-51)\/(-17))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133149720 and 132725?\nAnswer: 665748600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 363, 1236, 2939, 5748, 9939, 15788, 23571?\nAnswer: 33564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912468?\nAnswer: 2, 3, 76039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from jjxxwcesc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1111 = -1051. Solve -68 = w*s - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 573 + -299. Let g be (-68)\/(-170) + 4\/(-10). Suppose -3*w + w - 4*d + b = g, -5*w + 620 = -3*d. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:30 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -60*o + 55*o + 5*f, -2*o + 5 = -3*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37 and 28196.\nAnswer: -10432.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 25\/359.\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11485127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564354000 rounded to the nearest one million?\nAnswer: 7564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 10*d - 12. Determine v(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12.2. What is the biggest value in -0.1, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 2257 = 7*p + 1773 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1447 - 1451. Which is the third biggest value? (a) 2 (b) k (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1653 and -34?\nAnswer: 56202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14 + 6*j + j + j**2 - 6. Let p be n(-9). What is the units digit of (-35)\/p + (-9)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 15) to base 9\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1627*f**2 - 9*f + 5. Is 13 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822642 to the power of 1\/2, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749*r - 744*r - 20 = 0. Let z(o) = o**3 - 3*o**2 - o + 1. Calculate the remainder when z(r) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/23)\/(s**(-2\/23)*s))\/(s**(1\/3)\/((s\/(s\/s**(-5)))\/s)))\/(s**(5\/6)\/s**(-1\/5))**32 assuming s is positive.\nAnswer: s**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 1. Let s be u(-2). Suppose 0 = -19*p + 73 + 22. Sort p, 0, s in increasing order.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -693 - -1070. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.9, 5, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 5490 = 3*x - 7*r, -3*x - 2*r = -5486. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.39 - -46.39. Let l = 45.99999983 - x. What is l rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(484)*1))\/(6*-1*sqrt(80)).\nAnswer: -sqrt(2)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 224272 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/4 + 14\/(-28). Let i be (p + (-6)\/(-1))*(-2)\/(-4). What is c in 1\/4*c**2 - 3\/4*c + i = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 3*y - 5. Let u(j) = j**2 - 1. Let d(l) = -i(l) + 5*u(l). Let r be (-2)\/(-11) + 200\/110. Give d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 101404?\nAnswer: 101344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 + 169. Solve -3*l - 12 = -a*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*j - 11306 - 17090, 0 = -3*j + 5*u + 28376. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2324 - 1343?\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 30 = -3*p. Solve d = -d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndu when three letters picked without replacement from inididiidu.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h + 2. Let z be r(-5). Let u(m) = -m + 3. Let v be u(z). Let c(o) = o + 4. Let w be c(v). Solve w*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10857 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*z. Let h = 81 - 69. What is the least common multiple of z and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2106 and -82\/7371.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 + -55. Let l(c) be the third derivative of c**5\/10 + 13*c**4\/8 + 145*c**3\/6 - 233*c**2 + 1. Let i be l(-4). Are i and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110001001011011110 - -1?\nAnswer: 11111110001001011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546 divided by -1?\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21489, 86040, 193661, 344352, 538113, 774944, 1054845?\n\"Answer: 21535*o**2 - 54*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978021 + 0.014?\nAnswer: -2978020.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1462865265 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 179, 388, 691, 1094, 1603, 2224?\nAnswer: 2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468857 is divided by 2171?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1 (c) -1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4455 divided by 1\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5072120 (base 9) to base 15.\nAnswer: 3865c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -55261 divided by 12\nAnswer: -55261\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/47587917 or 1?\nAnswer: -2\/47587917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 + 24*b - 45\/2.\nAnswer: -3*(b - 15)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4*v + 2*r**3*v - 231*r*v - 6290*v with respect to r.\nAnswer: 4*r**3*v + 6*r**2*v - 231*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 2*m + 62, -4*m - 4 = 0. Calculate the greatest common factor of a and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h**2 - 3*h**3 + 5*h**3 + 3*h**3 + 127*h**2 + 2420*h = 0. What is h?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 3. Let m be n(-8). Let r = -1 + m. Suppose -5*w = 4*u - 36, 0*u - w + r = 2*u. Let i(x) = x**3 - 4*x**2 - 3. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttsbyyyyyrystrtbo. What is prob of sequence soy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaoa. What is prob of sequence oo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g. Let u(f) = 17*f**2 - 5*f**2 - 6*f**2. What is u(x(l))?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 9 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1*j))**(-10\/7)\/(j**(-2)\/j*j\/((j**(1\/2)*j)\/j)) assuming j is positive.\nAnswer: j**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 423 - 49 = 0. What is the highest common divisor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 2*sqrt(720))*-4.\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -5.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 69. Let u = 18 - k. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 67 = -133. Suppose b = 4*m - 4 - 49, r = -4*b. Solve 2*w + 3*w - 2*l + 8 = 0, -3*l + m = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2269292, -2269224, -2269156, -2269088, -2269020, -2268952?\n\"Answer: 68*o - 2269360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194747729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 88 = -6*m. Suppose i = 3*c - 6*c + m, 2*c = -4*i + 62. Solve 5*l = 3*z + 27, 2*z + c = -3*z + 3*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 17. Let h be (-1)\/j + 41\/7. What is the third derivative of -2*f**2 - 8 + 8 + 2*f**h wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*w + 3*w + 16, -4*f - 4 = 0. Suppose -s + 12 = 2*s. What is the units digit of (-38)\/s*(w + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 3, k: 5, e: 4, m: 3, t: 4}. Give prob of sequence xvt.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1792357\/2550 - -11950\/17. Find the common denominator of x and -73\/100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/4343781 and 29\/13.\nAnswer: 4343781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/163234440 and 29\/480.\nAnswer: 652937760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -214152 (base 10) to base 8\nAnswer: -642210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*m + 36 = -m, -m = -3*u + 28. What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*v - 2442 = 337*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 - 5*t**2\/2 - 7*t - 2. Let m(b) be the first derivative of l(b). What is the first derivative of m(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31450 and 5041250.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 6*i**2 + 8*i + 9. Let z be b(-7). Let m be -5*(z - (-69)\/(-15)). Suppose -m*q = -12*q. Solve -4*j = -5*v - 9, q = 3*j + v + 16 + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*135\/(-27) - 84\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*n + 11 = 0, 2*r + 23 = -r - 4*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 74*k + 595. Let o be p(9). Let a(h) = 2*h**3 - 20*h**2 + h - 7. Calculate a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4471, 4453, 4439, 4429?\n\"Answer: 2*l**2 - 24*l + 4493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -72*h**3 + 70*h**2. Let c(j) = 29*j**3 - 28*j**2. Suppose 5*i - 21 = 4. Let d(k) = i*y(k) + 12*c(k). Find the third derivative of d(g) wrt g.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*a - 15, -5*a = 20*g - 16*g - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5847 - -6177. What is the greatest common divisor of 1518 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m + 61. Let l(r) = -6*r**2 + 9*r + 10. Let n be l(-1). Let c be s(n). Put 4, 7, c in increasing order.\nAnswer: c, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 w when three letters picked without replacement from {w: 1, u: 7, y: 2, q: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 6\/(-2))\/(-4). Let h = 0.1 + 4.9. What is the second smallest value in b, -2, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0296 + 0.023. What is q rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 60*m + 15. Let w(r) = -10*r - 3. Let d(i) = -7*i - 2. Let n(f) = -5*d(f) + 2*w(f). Give 4*a(v) - 15*n(v).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722 + -721. Is p smaller than -14\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000311647 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14029607.9 + -3.\nAnswer: -14029610.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i**2 + 11*i + 33. Let y be d(-5). Solve 6*c = y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*h - 19, 37 = 5*j + 21*h - 17*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 512. What is z(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6324 and 43\/24?\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 11, 27, -2, 5, 4 in ascending order.\nAnswer: -2, 4, 5, 10, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*k - 31*k + 85*k + (5*k - 2*k - 4*k + (-2 + 4 - 1)*(-2 + 2 - 2*k))*(5 - 3 + 5) as a + d*k and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100000010 - 100?\nAnswer: -10001100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.02 and 1.\nAnswer: -6.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 111. Suppose 3*a = 3*o + 810, f*o = -a + 5*a - 1079. Let m = a + -88. List the prime factors of m.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 485*d**3 - d**2 + 105*d. Let b(g) = -3396*g**3 + 8*g**2 - 735*g. Let c(u) = -2*b(u) - 15*k(u). Find the second derivative of c(f) wrt f.\nAnswer: -2898*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 + 172*b - 3. Let z be i(-17). Sort z, 4, 2 in increasing order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -190. Let c = 53 - -41. Find the first derivative of 9*s**3 + r*s - c*s + 14 wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 98, 78?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2 + sqrt(171))*-4 + -4 + 1*((sqrt(171) + -2 + sqrt(171))**2 + 3).\nAnswer: -48*sqrt(19) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 182, 2\/7, -5040?\nAnswer: -5040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 1.1. Let n = 0 - -0.2. Let h = c - n. Sort -2\/7, h, 0.1 in descending order.\nAnswer: 0.1, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 8. Suppose 3*g + 18 = 6*g. What is the units digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -318243?\nAnswer: -4\/318243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 3438\/9281?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2607, 1548, 451, -702, -1929, -3248, -4677?\n\"Answer: -3*t**3 - t**2 - 1035*t + 3646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z + 183*z - 1239 = 1691. Suppose 3*w = -4*o + 3, -o + 4*w + 27 = 4*o. Suppose 0 = -o*n - n + 8. Solve h + n*c + 5 + 1 = 0, -2*c = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**5*n**3 - 25489*a**5 - 17*a**2 + a*n - 41*n**3 + 12*n**2 wrt a?\nAnswer: -600*a**2*n**3 - 1529340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 - q**2 + 70 + 146.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 110001?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8.87 (b) 0 (c) -2\/7 (d) 2\/15 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144509\/28 + -5162. Let t = 2015993\/22 - 91637. Find the common denominator of t and x.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15145 (base 6) in base 2?\nAnswer: -100110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 5*z**2 + 7*z - 1. Let j be w(6). Let y = 17 - j. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + 144\/84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + (-19)\/(-6)). Let a be y*((-33)\/(-6) - 3). Let p = 32 + a. What is the highest common divisor of p and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -99872729?\nAnswer: 39949091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -503 + 0*n - 428 + 3*n - 909*n**3 + 933 to the form g*n + o*n**3 + t + j*n**2 and give o.\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35378104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 + 41*b**2 - 8*b - 68*b**2 + 0*b.\nAnswer: 8*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1145 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-40))\/(1\/6*-1). Let f be (-3)\/5*(2 - 32). What is the third derivative of s**2 - 68*s**q + 82*s**3 + f*s**2 wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 17*x - 18519 - 11209 = 0. List the prime factors of x.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - 5 - (-4 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 47. Suppose -133*k + 21*k + 49896 = -58*k. What is the highest common divisor of q and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 13344\nAnswer: -1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473856 and 10?\nAnswer: 2369280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 86 = 61 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9.6. Let n = -1.4 + s. Let u = -3.669 + 4.669. What is the closest to 0.2 in 3\/5, n, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -7013*l**5\/60 + 5959*l**4\/24 + l**3\/3 + 11391*l**2. Find the second derivative of t(u) wrt u.\nAnswer: -14026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -98124*t - 6279947. Give o(-64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6\/17 (b) -0.1 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -15991552.\nAnswer: -9\/15991552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5420*q*w**3 - 2*w**3 - w + 522 wrt q.\nAnswer: 5420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 48. List the prime factors of s(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 - 2 + x**3 + 4 + 0 + x**3 in the form i + v*x**2 + u*x**3 + o*x and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 5 - 5*q + 2*q.\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*q + 2270*q + 62348 = -73948 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-2*sqrt(4)) + sqrt(2) - sqrt(2))**2*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = h + 76. Let v = h + -34. Determine q so that -12*q**2 - 4 + 2*q**v - q + 6 + 17*q - 8 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1985842ml in litres?\nAnswer: 0.0001985842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let w be d(-4). Let h be (-1*4\/9)\/((-3)\/27). Solve -a - 2 - 6 = -4*x, h*x - 4*a = w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 10*l**2 + 5. Let y be j(10). What is the second smallest value in -5\/2, y, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.59275nm in meters?\nAnswer: 0.00000004759275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.498149 micrometers in meters?\nAnswer: 0.000006498149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:19 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8 + 2*l - 8*l**2 + 5*l + 9*l**2 + 3*l. Let i be b(-11). Suppose -5*f + 3*v = -1849, -i*f + 2*v + 1107 = -v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/113 in -4, 0.5, 5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 11655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*m + (-1 + 0 + 2)*(188*m - 294*m + 178*m))*(-4 + 3 + 0) to k*m + n and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwz when four letters picked without replacement from wwzzzw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009642 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 647.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936830 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24323994*q**5 - 2*q**3 + 892372839*q?\nAnswer: 486479880*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let t be v(26). Solve -g = -o, -3*o + 7*g = 9*g + t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011184 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3*q - 13. What is b(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by -6\nAnswer: 229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -b + 77 - 78, -z - 2*b = -1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:47 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8797 - -8802. Suppose -v + 2 = -4. Let g = v - 6. Solve 4*t = -l - 5, g = n*l - 0*t + t + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 618, 0 in descending order.\nAnswer: 618, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**17\/i*i*i**(-3\/34))\/(i**(-2\/23))**(5\/2))**(-1\/21) assuming i is positive.\nAnswer: i**(-4465\/5474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 950790 and 820?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n - 5\/2*n**2 + 7\/3*n**3 + 1 - 1\/4*n**4. List the prime factors of r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*d + 20, 4*d = 4*h + h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104757418.3788 take away 3.07?\nAnswer: 104757415.3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9020.979 micrometers to kilometers.\nAnswer: 0.000009020979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5250*o - 9 + 9 + 171*o + 323*o to f + b*o and give b.\nAnswer: 5744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 334.82*-1.2\nAnswer: -401.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4\/3*g**3 + 128\/9 + 16\/3*g - 40\/9*g**2 + 2\/9*g**4 = 0?\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/5 - 1768*t**3\/5 + 33031*t**2\/5 + 349368*t\/5 + 755568\/5 = 0.\nAnswer: -4, 27, 1749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -2*t + 22, 5*y = 4*t - 30. Let h = t - 1. Suppose h*c - 3*c - 4 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 899*n - 11. Let l(t) = 215*t. Give y(l(b)).\nAnswer: -92450*b**2 - 193285*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 31088*m**2\/9 - 248608*m\/9 + 497152\/9.\nAnswer: -2*(m - 15536)*(m - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 10. Let l = -62 + 16. Let a be 4\/6 + l\/6. What is the remainder when v(a) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a + 73. Let q be j(-8). Let k(t) = t**3 + 5*t**2 + 3*t + 5. Let p be k(-4). Calculate the greatest common factor of p and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 369650520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -55*r**2 + 390*r - 48. Give t(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.497649 tonnes to nanograms.\nAnswer: 9497649000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from yhvyhyvyyfqhvyh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 741 by 11.\nAnswer: 741\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 10*n**2 + 24*n.\nAnswer: -n*(n - 2)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(39) + (sqrt(39) - 2*sqrt(39)) - sqrt(39) - sqrt(39))*2)\/((-2*sqrt(3300))\/sqrt(11)).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n. Suppose -2*b = -2*w - 14, w + 0*w = -4. Let q be f(b). Suppose q*h = -3 + 42. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -219 + 2?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 12*k. Give d(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i**3*i*i*i*i*i))**(2\/73) assuming i is positive.\nAnswer: i**(-6\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98971275 and 498?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*t + 314 = 0, 5*w - 2*t - 850 = t. What are the prime factors of w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, e: 4, p: 2}. Give prob of picking 2 p and 1 e.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2849 - 19?\nAnswer: -2866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1751*r - 24. Calculate b(-3).\nAnswer: 5229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 8 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 240*t**2. Let b(h) = -h + 31. Give b(k(y)).\nAnswer: -240*y**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 38. Let x be 0\/(-3) + (c - -3). Calculate the highest common factor of x and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 1, x: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*g - 124*g**2 - 128*g**2 - 71*g + 104*g**2.\nAnswer: -148*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k + 67. Give x(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -226706162?\nAnswer: -226706162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 3. Let a be m(2). Let c = -9 + a. Suppose 1 = -k + 2*j, 0 = 4*k - c*k - j - 17. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -2a?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -85) + (-6 - 0 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 3576?\nAnswer: 60792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*i**3 + 99440*i**2 + 39764*i + 3976 = 0. Calculate i.\nAnswer: -994, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 3 + 3)*(-3 + 1 + 4) + 2*u**3 - 2 + 2 + (2*u**3 + 2*u**2 - 2*u**2)*(1 + 3 - 3).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2. Let f(m) = 753538*m**2. Calculate f(j(n)).\nAnswer: 753538*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77.38 times -0.175\nAnswer: -13.5415","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 - -211. Suppose -5*q - 2*j - 2 = 0, 1 = 5*q + 4*j + 5. Solve -2*y - 10 = -4*b, q*b + f = -y + 4*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*d + 5*m = 861*d + 12, -4*d + 3 = 5*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -33*o + 29*o. Suppose 2*n + 3*n + b - 3 = 0, o = 5*n + 4*b. Let i be (((-28)\/8)\/7 + 1)*0. Solve -5*p + t + 21 = i, n = -p - 0*t - 2*t + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w - 1. Let c be z(-1). Let b = 8 + -8. Suppose -d + c = -b*k - 4*k, 4*d - 3*k - 28 = 0. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 2*d - 1. Let y be u(3). Suppose 99 = 79*w - 59. What is the second derivative of 27*f + 71*f**2 - 66*f**2 - y*f**w wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*k - 4*t + 6*t, 0 = -2*t - 6. What is the remainder when 6 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g)**(-2\/15)\/((g\/(g**(-2\/11)*g))\/(g\/(g\/((g*g*g**(-2\/13))\/g)*g)*g)) assuming g is positive.\nAnswer: g**(1709\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*r + 142*r + 4*r**2)*(-1 + 2*r - 1 + 0*r).\nAnswer: 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 852 + 7401. Calculate the greatest common factor of n and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -31571*s**2. Let d(o) = o. Determine c(d(i)).\nAnswer: -31571*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3*(-11)\/((-88)\/40). Suppose -u = 138*g - 141*g. Let z(c) = 6*c + 4. Let m be z(4). Solve -g*o + f - m = 0, -3*o = -5*o + 4*f - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 0, 2*b - b = -3*f + 7. What is the third derivative of -3*q**2 - q**5 - q**5 + 5*q**f wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 27*k**2 - 218*k - 32. Give p(17).\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2)*q))\/(q**(-9)\/q)*((q*q**(1\/8))\/q)\/q*q\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b = 46*b + 3*b - 376 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 9*v + 11. Let y be l(5). List the prime factors of (-10)\/(0 + (-4)\/y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21302121 - -200?\nAnswer: 21302321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + -8 + (14 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p - 8 + 0*p**4 + 0*p**2 + 1\/6*p**6 + 17\/3*p**3 + 0*p**5. What is the third derivative of h(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p**4\/4 - 4033*p**3\/2 - 82307*p**2\/4 - 23701*p - 5139 = 0. Calculate p.\nAnswer: -1142, -9, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102055 (base 7) to base 10.\nAnswer: -17533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948435?\nAnswer: 3, 5, 53, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2593 + 2815. Put z, 1, -3, -2, 2 in increasing order.\nAnswer: -3, -2, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75947 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2879770 by -1.\nAnswer: 2879770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 130\/39 + 4\/(-3). Sort -4, z, -3, 22 in descending order.\nAnswer: 22, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/3 + 3*m**2\/2 + 2*m. Let o = -812 + 1579. Let b = -771 + o. Let j(x) = 3*x - 5. Calculate b*j(p) - 7*z(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -35, -90, -169, -272?\n\"Answer: -12*b**2 + 5*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 1831\/127, 1 in descending order.\nAnswer: 1831\/127, 1, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/15)\/(7\/140). Solve 0 = 5*r + 3*d - 7, 4*r + l = 6*d - 3*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 + 2 = 0. Let i be ((-72)\/12)\/(z\/4). Let r = 31 + i. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -13 - (-4 + 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943190 is divided by 4120.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 1. Let i(q) = -q - 1. Let w(n) = 13*i(n) - 6*o(n). What is the units digit of w(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 14393\/1701?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 7*w**2 - 36*w - 23. What is the least common multiple of c(3) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 2. Let f be y(0). Let m be 7 + -5 + (f - -1). Let d = m - -1. Solve c - d*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202.5 - -216.5. What is the closest to -1\/5 in -0.6, 0.3, y?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 10*o**2 + 12*o + 4. Let f be y(11). Is 10 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 41, 9, 5 in increasing order.\nAnswer: -5, 3, 5, 9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41462966 divided by -1219499\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302013110 - -11?\nAnswer: -1302013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -40.67\nAnswer: 33.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*f = -19, m = 6*m + 3*f. Suppose -6*v + 45 = -v. Solve -l + 4*g + 0*g - v = 0, m = l + 2*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, u: 1, o: 2, m: 1, t: 1}. Give prob of picking 1 t and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4 + 1 + -5). Let h(z) = -z + 4. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23483, 23490, 23497, 23504, 23511, 23518?\nAnswer: 23525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1294 and -1332 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962086497 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/7)\/((-3)\/(-21)). Suppose 0*n + 4 = -q*n. Which is the second smallest value? (a) n (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 - 120*b + 244 = 0.\nAnswer: -122, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 5 = 0. Suppose 2177*i - 2172*i + 15 = 0. Put h, -65, i in descending order.\nAnswer: h, i, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(6\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**4 - t**3 + 2*t**2 - 2. Let q(n) = -n**5 + 12*n**4 + 14*n**3 - 17*n**2 - 8*n + 10. Let p(r) = q(r) + 5*y(r). Factor p(j).\nAnswer: -j*(j - 8)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/(-28) - (-2)\/8. Let o = -4\/7 - -1\/7. Let j = o + r. What is the nearest to 0 in -5, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 408993054 to the nearest integer?\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 - q + 2. Let r(p) = -2*p - 58. Let x be r(-28). Let v be 9*x\/(-3) + (-10 - -5). Determine w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29609079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103\/(-20)*(-516)\/(-11610)*450?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1995257769846437\/45702151950 + 16\/251110725. Let s = -43658 - f. What is the common denominator of s and -67\/14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 52 - 19 + 71 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 2*l + 195 + 0*l + 519 to the form w + t*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, -0.3, -5, -96?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160194312*g**3 + 14771702 with respect to g.\nAnswer: -480582936*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + 0 + (1*sqrt(1700))**2 - (-1 + 1 + sqrt(833)).\nAnswer: -6*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1034, 987, 916, 815, 678?\n\"Answer: -q**3 - 6*q**2 - 22*q + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 2. Let w be g(1). Suppose w = 4*z - 2*z - 10. Suppose -5*a + 3*y = -90, -5*y = z*a - 2*a - 54. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 2434, 5483, 9752, 15241?\nAnswer: 21950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 2. Let u be g(-1). Suppose -8*d - 5*f + 200 = -u*d, 3*d - 110 = 2*f. Calculate the highest common factor of d and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 78. Let p = 170\/7 + y. What is the third biggest value in -5, 4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 138. Suppose -17*i = p*i - 42191. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - (-50 + 21)) + -15 - 43.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*l - 1414993 = 0, -l = -s - 2*l - 353757. Let d = -446248 + s. What is d rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 2 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 21.1. Let t = 193323185.09999951 - 193323184. Let j = t + b. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 1412*c**3 - 3*c + c.\nAnswer: 1412*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26655*t**3 - 10273*t**2.\nAnswer: 159930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15937000 to the nearest integer?\nAnswer: 3992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:56 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {l: 2, f: 5, t: 1, c: 3, o: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 2*b - 79 + 148)*(2*b**2 - 2*b**2 - 5*b**4).\nAnswer: -10*b**5 - 95*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -9 - -11 - 11) + (-4 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0\/3 + 8\/2. Suppose -m - u*h + 60 = 0, -h = 39 - 37. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 15. Let r = -210 - -110. Let c = 170 + r. What is the greatest common factor of c and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + n - 4*n + 2*n**2 + n. Let t be g(2). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12308 = 19*s - 10929. Let z(d) = -s + 1202 - 2*d - d. Let v be z(-7). Is -2\/155 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/55 and -43\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30452 + -30453. Suppose 3*h + 8 = -16. Let j be h\/370*2\/4. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*b - 62716 - 182444. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6401 + 3?\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2694 (c) -2 (d) -64 (e) -0.4 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 4*h - h - 5*h to the form c + a*h and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*d - 242*d**2 - 1450*d + 2896*d.\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -777\nAnswer: -6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -1070*t + 1066*t + o, t - 5*t - 8*o + 19 = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3870.89 + 3870.8. Put 3, -28, 5, y in descending order.\nAnswer: 5, 3, y, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/((-3)\/10). Let a = 132 - 130. Suppose 2*f + 2*s + 2*s = 0, -b*s + a = 3*f. Solve 3*u + f*u = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28679.\nAnswer: 7, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 12160*c\/11 - 24232.\nAnswer: -2*(c - 6058)*(c - 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*k, 2*o - 45 = k - 57. What is the closest to -3\/16 in o, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = x - 52 - 53 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -13, -1, 41\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9908 - 9771 + 2*x + 0*x - 4*x as s + p*x and give s.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*h - 114. Let m be 6\/(-141) + 1550682\/10199. Calculate the greatest common divisor of m and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 11*w + 12*w - 4, -5*i = -4*w + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 10*t - 2*t**2 + 4851 - 12*t - 4915.\nAnswer: -2*t**2 - 26*t - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55167023.\nAnswer: 17, 137, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6489 and 446814.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*x = 132*x - 5868. Let r = x + 489. Solve r = -0*n + 3*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 + 3 - -3)*11568\/13496\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6*i + 15. Suppose i*w + 101 = 4*m, -2*w + 29 = m - 4*w. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43241701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264879?\nAnswer: 3, 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -o + 46, 3*b - 32 - 175 = -4*o. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74375233703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 612. Let h = 190 - 173. What is the greatest common factor of h and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -19*n - 360. Let g be u(-19). Which is the closest to 0? (a) 1\/22 (b) g (c) 5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12050194 is divided by 899.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 64, -0.8, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/k*k**8)\/(k\/(k**(-18)*k)*k**(-2)\/k) assuming k is positive.\nAnswer: k**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4628840 and 234219304?\nAnswer: 1171096520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*s + 494 = 36*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 - 406. Let s(y) = 3*y**2 + 58*y + 22. Let n be s(b). Solve n*w - 6 = -4*a, 2*a - 10 = -w - 4*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026 is divided by 404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0\/(-2))\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 1576*d**2 = 0. What is d?\nAnswer: 0, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0368015 to 4 decimal places.\nAnswer: 0.0368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35883 divided by -3987.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (704 - 689 - ((3 - -10) + 3)) + -4 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*t - 23 = 0, -2*q - t = q - 9. Suppose 5 = -q*g - 13. Let r(c) = -21*c. Let u(w) = -5*w. Let y(v) = g*u(v) + 2*r(v). Determine y(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 0 - -9 - 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0)**(2\/11)*f*f**0*f*(f*f*(f\/(f**(-1)*f)*f)\/f*f)\/f*f assuming f is positive.\nAnswer: f**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-175 + 256 - (-8 - (-6 - (-6 - -3)))) + -13\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 220*t - 207*t + 2022280. Round t to the nearest 1000.\nAnswer: -156000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 3*m - 4. Let c be k(-3). Let a(d) = 2*d**2 - d + 4. Let b be a(2). Is 3 a factor of c\/b - 68\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(3*d + 0*d - 4*d) + 25*d + 2*d - 12*d + 3*d + 0*d + 0*d + 2*d + 0*d + 0*d + (2*d - 1 + 1)*(-2 + 4 - 4) to the form x*d + p and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 110. Is 0.1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208712223*p**4 + p**2 + 82553426*p wrt p?\nAnswer: -5009093352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 495 - 130*w - 2*w**3 - 783 + 439 with respect to w.\nAnswer: -6*w**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22945 and 391830?\nAnswer: 5093790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16\/(-16)*(-2025 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2\/3*n**3 + 0*n**2 + 3 + 0*n. Let h(s) = 4 + 2*s**2 - 4. Determine f(h(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - a**2)*(-10*a**2 - 9*a**2 - a**2) - 11*a**2 - 4*a**4 + 11*a**2.\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 347 + -349. Which is the nearest to -1\/3? (a) -0.3 (b) 5\/2 (c) u (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Calculate the remainder when 23 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 8*k**2 + 9*k - 6. Suppose -5*w + 1 = -4*o + 4, -1 = 2*o - 3*w. What is the least common multiple of g(o) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6981*m**3 - 10941*m**3 + 14620*m**3)*(0*m + m + m) + 2*m**4 - m**2 + 12*m - 12*m to the form p*m + t*m**3 + w*m**4 + i*m**2 + x and give w.\nAnswer: -6602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 35*h - 23*h + 21 - 15*h. Is 14 a factor of y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 21*d = 50. Suppose -4820020 = -t - d*x, -2*t + 4*x = 3*x - 9639996. Round t to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8487, 8486, 8485, 8484, 8483?\n\"Answer: -b + 8488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 + k**2 - 6*k + 75. Let a(f) = -f**3 + f**2 - 3*f + 1. Calculate a(u) - g(u).\nAnswer: 2*u**3 + 3*u - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + p**2 - p**2)*(3*p**2 + 3*p**2 - 4*p**2 + (0*p + p - 2*p)*(-2*p - 5*p + 5*p)) as h + g*p + c*p**2 + t*p**3 + i*p**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2078 + -1341. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 260 = -27*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*22\/(8\/(-20)*370\/(-296))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*s - 637*s - 103*s)*(4*s - s - 2*s)*(4*s - 2*s - 4*s).\nAnswer: 1820*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 44*u - 2420.\nAnswer: -(u + 110)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.04 and -0.043156.\nAnswer: 0.60591024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - c = 38669, 5*d + 26*c - 193345 = 24*c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 9*i + 57)*(-i**2 + 3*i**2 + i**2) as n*i**3 + o*i + y*i**2 + k and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 24*w + 106*w**2 + 12*w - 136*w**2)*(-18*w + 24 - 24) to the form j + r*w + k*w**3 + g*w**2 and give k.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:44 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 4. Let u be x(0). Put -2, u, 1, -3 in decreasing order.\nAnswer: u, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.264 * 1.571\nAnswer: 0.414744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 + 4*d. Let l(p) = -7982*p - 15. Give l(r(h)).\nAnswer: -47892*h**2 - 31928*h - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382 (base 13) to base 9.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 36. Suppose 5*p + 7 = 3*f, 4*p - 8*p - h = -4*f. Suppose f*w - 48 = q, 5*w - 3*q - 14 = 3*w. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.3 (c) 0.03 (d) 2\/3 (e) -16 (f) -13709\/2 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k + 76. Let z be f(-10). Let y(q) = -2*q**3 - 52*q**2 - 2*q - 49. Let p be y(-26). Solve -3*j = -p*w + z + 5, -4*j - 13 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 90866929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45901*k*y + 63625*k with respect to y.\nAnswer: 45901*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 10. Let t(f) be the third derivative of f**4\/6 + 77*f**2. Determine t(i(r)).\nAnswer: 12*r - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-44) - 3*(-9)\/(-36)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.219 - -0.059. Let t = 5.4 - w. Round t to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (1 + sqrt(891) + sqrt(891)))**2 + 0 + -2 + sqrt(891) + 0 - (5 + -3*sqrt(891)*1 + -2*sqrt(891) + 4 + sqrt(891))**2.\nAnswer: -13447 + 675*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from wmmcp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(-3*o**2 + o**2 + 4*o**2 - 1246431 - 2814*o**2 + 1246431 + (1 - 1 - 2)*(-3*o**2 + o**2 + 0*o**2))*(-6 + 2 + 2).\nAnswer: -5616*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**2 - 1\/3*w**3 + 0 - 1\/60*w**5 + 0*w - 1\/3*w**4. List the prime factors of u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (2 + 21\/7). Sort 0, -3, b, 5 in ascending order.\nAnswer: b, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 1\/90*y**5 - 1\/360*y**6 + 1\/9*y**4 - 275*y**2 + 0*y**3 + 0*y + 0. What is r in s(r) = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1635*s = 1708*s - 64240. What is the greatest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7875 and 4032?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5859709 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 11*n - 81 = 0. Let g(w) = 21*w - 70. What are the prime factors of g(n)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 600 + -7195\/12. Let m(g) be the third derivative of 0*g - 1\/12*g**5 + 1\/3*g**6 + 0 - c*g**4 - 5\/42*g**7 - 14*g**2 + 0*g**3. Let m(l) = 0. What is l?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*u + 39, 3*f + 2*u = -2*f - 33. Let h(j) = -j**3 - 6*j**2 + 5*j - 9. What is the units digit of h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336587867 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acyaawcaaaawfafaafw. What is prob of picking 1 w and 1 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:44 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u - 2. Let r be ((-15)\/6)\/(u\/20). What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -145, -163, -199, -259, -349, -475?\n\"Answer: -s**3 + s - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -25. Let w be k + 8\/(-4) + 1. Let m = w - 8. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s + 3*s + 2*s)*(606 + 2685 + 8146)*(3 - 2*s - 3) to l*s**2 + w + u*s and give l.\nAnswer: 22874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:30 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211102 (base 3) to base 12.\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2368810 * 38.\nAnswer: 90014780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278392331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26803 divided by 20.\nAnswer: 26803\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6712 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1415, -9, 6, 2 in increasing order.\nAnswer: -9, 2, 6, 1415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 372211570 and -0.41.\nAnswer: 372211569.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.38. Let m = 0.08 + s. Let g = m - 0.26. Which is the smallest value? (a) -2 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -424?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11330, 11282, 11202, 11090, 10946, 10770?\nAnswer: 10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113686 is divided by 556838?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 3790*r - 251 + 129 to the form j*r + d and give j.\nAnswer: 3790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 3*d + 3. Calculate x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/9)\/((-2)\/3). Suppose -3 = -2*d + z*y, 4*d + y = 6*y + 21. What is the least common multiple of 10 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73\/3 + -24. Let f = -0.2 - 3.8. Let u = f - -3.9. Is u bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 1249*p - 2494.\nAnswer: -(p + 2)*(p + 1247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2235026 divided by 2.\nAnswer: -1117513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -537 - -537. Let x(o) be the third derivative of -1\/54*o**4 - 5*o**2 + r*o**3 + 1\/945*o**7 + 0*o + 1\/270*o**6 + 0 - 1\/270*o**5. Factor x(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 23*l. Let c = -102 + 107. Find the third derivative of l*v**c + 4*v**2 + v**2 + 10*v**5 wrt v.\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*w - 5*w. Let b be 2 - (2\/1 - w). Suppose -3 = 3*h - b*h. What is the third smallest value in -4, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91013*j = 91011*j + 4. Solve 0*u = g + j*u + 2, -3*g - 6 = -3*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 4. Let r be a(5). Let m be 18*((-16)\/(-6) - r). Suppose 3*b + m = 4*x - 17, x = 3*b + 23. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1422940 and 180?\nAnswer: 12806460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2. Let s(w) = -505*w + 28 - 29 + 990*w. What is a(s(o))?\nAnswer: 705675*o**2 - 2910*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -300*l**2\/7 - 25448*l\/7 - 25148\/7 = 0.\nAnswer: -6287\/75, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892440 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(((-96)\/(-28))\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45417834?\nAnswer: 2, 3, 7, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59954.04 less than -15?\nAnswer: -59969.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 6. Is 4 a factor of 62\/o + 10\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (212\/795)\/(2\/10*-2). What is the second smallest value in 2\/5, m, 1, -131?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5675, -205, -19, 2, 3, 0 in decreasing order.\nAnswer: 5675, 3, 2, 0, -19, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 8620*p + 3715220.\nAnswer: 5*(p - 862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = -2*f - 5, -4*f = -k + 25. Suppose k*u = -4*m + 8171, 2*u = 3*m - u - 6162. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -914 + 914.06. Which is the third biggest value? (a) -122 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -19. Let g = 5 + u. What is the highest common factor of 180 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -173. Which is smaller: h or -0.09?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 89, 74, 41, -16, -103, -226?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24135478 and 588122?\nAnswer: 3746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374085 is divided by 69.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-9) - (-4)\/(-18). Let a be (1\/1)\/((-2)\/l). Let h be ((-1)\/a)\/((-2)\/40). Solve -5*q + 0*y + y = -h, 5*y + 10 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -292.28.\nAnswer: -292.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-59 - 64 + 82 + 10*n)*(-3*n - 6 + 6*n + 3).\nAnswer: 30*n**2 - 153*n + 123","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/8))**44 assuming p is positive.\nAnswer: p**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 277271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -52*f**2 + 79*f. Let u(r) = 2*r. Determine u(p(q)).\nAnswer: -104*q**2 + 158*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 357 = 87. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 157348 - 203116 = 0. What is the remainder when i is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2480 = 2*x - 2475, x = 3*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 24, 3*r + 189 = -2*q + 6*q + 243 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21845160 divided by -565\nAnswer: -38664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(85)\/(sqrt(720)*2)*6 - (-1 + sqrt(136)\/(5*sqrt(392)))).\nAnswer: -4 - 31*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 121*t**2 - 3 - 4*t - 124*t**2 - 2. Let p(a) = -16*a**2 - 21*a - 26. What is 11*k(q) - 2*p(q)?\nAnswer: -q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*j**4*u - j**3*u**2 + 3429*j**3 - 2*j**2*u**2 - j**2*u + 971*j**2 + 4*u wrt j.\nAnswer: 1128*j*u - 6*u**2 + 20574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 - 68481*j**3 - 360494859*j**2 + 352370564289*j - 352010000946 = 0.\nAnswer: -11833, 1, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-98)\/(-6) - -1)\/((-4)\/690). Let z = 119269\/40 + l. Let t = 5\/8 - z. Calculate the common denominator of t and -37\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 839, 1427, 2535, 4325, 6959, 10599, 15407?\nAnswer: 21545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 5. Let y be q(-5). Suppose y = -4*s - 2*c + 2536, 3*s - 4*s - c = -635. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + -4 - (19 + -20)) + (-4 - 5)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/22)\/(100\/696760) - (-4)\/(-5). Calculate the greatest common factor of s and 1419.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/189 and -61\/459.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4282*p**3 - 34248*p**2 + 64*p = 0.\nAnswer: -8, 0, 4\/2141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38b - 3a55?\nAnswer: -3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*y + 373, 1258*r - 1265*r = 3*y + 294 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 175847548.\nAnswer: 527542644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f - 2*n + 10, -5*f = -3*n - 2 + 17 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - 495\/(-18))\/(3\/58 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - k + 20*k - 7*k + 11*k + (k + 0 + 0)*(-2 - 3 + 3) to the form h + a*k and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 575, 1026, 1657, 2528, 3699, 5230?\nAnswer: 7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 + 53*m**4 + 27*m**3 - 165*m**2 + 52*m + 36 = 0.\nAnswer: -2, -1\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. Let a(h) = 3*h + 33. Let p be a(-7). Suppose -p = -7*g + 5*g. Calculate the lowest common multiple of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 > 526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**6\/6 + 5*r**4\/2 + 45*r**2 - 121. Find the second derivative of y(b) wrt b.\nAnswer: 20*b**3 + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632 and 14?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102112 + -10121211122?\nAnswer: -10121102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-82)\/(-232) + (-1)\/4. Let t = 100\/41 - 3575\/3567. Let v = n - t. Which is the second smallest value? (a) 0 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 15*z**2 + 69*z - 10. Calculate the smallest common multiple of 1 and a(18).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 4*r**2 + 12*r - 3. Let u be d(6). Let y be (-12)\/u - (-9)\/(-3). Suppose -3*k = -5 - y. Solve -k = -2*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1\/2, -1, 7\/4 in increasing order.\nAnswer: -4, -1, 1\/2, 7\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2985*r**2 - 898?\nAnswer: 5970*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-135)\/(-18))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 221. Determine z(21).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3670384.318 to the nearest one hundred.\nAnswer: 3670400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 312 = 2*g, 4*g + 182 = 2*t + 38. Calculate the common denominator of -37\/20 and 86\/215*106\/t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 18*n + 12. Let u(q) = 2*q**2 - 18*q - 10. Let x(m) = 6*u(m) + 5*v(m). Factor x(i).\nAnswer: -3*i*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 23*c + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*x + 4, j + 2 = x - 6 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1 (b) -5 (c) 616.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from ivxxaajaxvyj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.1 minus 399051?\nAnswer: -398847.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 1053.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -219696.0729 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 8, -3*p - 2 = -0*p + 2*x. Solve p*a - 16 = 3*o - 8*o, 4*a - 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 71. Suppose 8*x - 5*x + l = 0. Let b(a) = a**3 + 13*a**2 + 11*a + 14. What is the tens digit of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -86. Let t = h + 79. Suppose 2*r + 2*f - 13 = -1, 3*r = f + 10. What is the third biggest value in -1, t, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 11 + -13 + 10 - 46\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 12*k + 19. Let f be y(6). Suppose 4*b - 20 = -4*l + b, -b = 3*l - 10. Let g be 1 - l*(-37)\/2. What is the highest common factor of g and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Which is the closest to -2\/7? (a) 0.2 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*i - 1 = 3, -i + 20 = -3*x. Let w(n) = n**2 + 1. Let a be w(x). Suppose 4*d = 2*b - a + 18, -4*d = b + 8. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 0 (b) -6\/37 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*p - 731 = 1067 - 250 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20231\/28 + -2857\/4. What is the common denominator of 177\/14 + (-4 - 162\/(-42)) and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-21))\/(9\/231)*10878\/(-29008).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(4 + -2*sqrt(108)*2 + sqrt(108) + 1 + 1 + sqrt(108) + 3))**2*-6.\nAnswer: -12102 + 4896*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317601 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3 and (-4)\/(-9) - (5 - 34601\/7056).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35a0a (base 15) in base 14?\nAnswer: -1061a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9325 + 73.\nAnswer: 71.0675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012418795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 3*i - 2*i - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -16, -5, 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*f + 44 = 0, -t = 4*f - 0*f. Suppose -483 = k - t*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*b = -5*v - 5, -648*v = 2*b - 330*v - 323*v - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = -312. Let i = 760 - 834. Let a = i - p. Solve -4*j - v - 2*v - 13 = 0, -5*j - 24 = -a*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**16\/v)))\/(v**2\/v)*(v*v\/v**(-3))**(-25) assuming v is positive.\nAnswer: v**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -0.2.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3426 divided by -29078\nAnswer: 1713\/14539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79874466*u**3 - 2*u**2 + 4397*u + 1731 wrt u?\nAnswer: 479246796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 4*w - o, 5*w - 4 = -4*o. Suppose 0 = 4*d + 3*g - 5, -w*g - 19 = 1. Suppose 10*y = d*y - 4*u + 13, -y + 3*u = 5. Is y at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4 + 1. Let y be ((-1 - -4) + 0)*m. Suppose -4*r + 201 = q - 266, -5*q + 2450 = -y*r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1073 or -2.49?\nAnswer: -0.1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.17\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98991 and 20704?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 8*j + 9. Let n be r(9). Calculate the greatest common factor of n and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 0*v - 8*v - 6*v)*((0*v + 2*v - 11*v)*(-5 - 5 + 7) + 0*v - 5*v + 4*v) in the form i + b*v + u*v**2 and give u.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.048 + -1. Let y = a - 6.448. What is y rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322561 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 4. Suppose -2*h = 4*p - 60, 0 = 5*h - 5*p - 66 - 114. Suppose -h = -6*f - 10. Suppose 8*j = 9*j + f. What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 9177?\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (10 + 15 - 17 - 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -2.42902?\nAnswer: -15.57098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(95) + sqrt(95)*2 + sqrt(95))*-1)\/(sqrt(5) - sqrt(55)\/sqrt(99)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-52))\/((-2)\/(-4568)). Let f = 88 + k. Let x = 115 - 118. Which is the closest to 0? (a) f (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617669 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-9))\/((-2)\/3). Suppose -h = 3*r - 8. Let f(l) = 2*l**2 + 3 + l**3 - 2*l**3 - 3*l - l. Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.1 < -36977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -83, -76, -67, -56, -43?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -73. Suppose 0 = -5*o + 7 + q. Suppose -2*x - 18 = -3*k - 6*x, 2*x = o*k - 24. Solve -4*p + 4 = -k*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73842925.\nAnswer: 5, 13, 59, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/4067 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*sqrt(1539)*6 + (4*(2 + sqrt(1216)))**2*-6.\nAnswer: -117119 - 3126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6920798 rounded to 1 decimal place?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - 1. Let k = a + 0. Suppose 3 = -4*t - 5*g - 4, -4*t - 3*g = k. Solve -3*d = 0, 2*x - t = 2*d + 2*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3)**14)**28)**(1\/2) assuming t is positive.\nAnswer: t**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112033.\nAnswer: 23, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 29. What is the remainder when 73 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 34*w**2 - 8*w + 10. Let c be b(6). Let s = -704 + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = 0. Let j = 1 + y. What is the tens digit of 21 + j - (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)\/(i*i\/(i*i\/i**(-2\/7))))\/(i**(4\/3)\/i**(-2\/11)) assuming i is positive.\nAnswer: i**(-746\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -21. Put -4, -2, k, -5 in ascending order.\nAnswer: -5, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856819 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -432090*d**2*u + 3*d**2*w + 6*d*u*w - 11*d*u + 42*u*w + 816*w with respect to w.\nAnswer: 3*d**2 + 6*d*u + 42*u + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0. Let u = -0.19867 + a. What is u rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/(m\/m**(5\/4)))\/m)*m)**(-27)*(m**2\/m)**33 assuming m is positive.\nAnswer: m**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1340222 and 4\/2433561?\nAnswer: 92475318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141418420 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0570272255 rounded to four dps?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 6, -0.4, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -103. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -2460, -3473, -4342, -5067, -5648?\nAnswer: -6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -12*n + 16*n - 5*o, -4*o - 16 = 2*n. Are 37 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a + 2*a. Let f be 119\/6 + a\/(-18). Suppose -f*t = -17*t - 126. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*j**3 - 3*j**2 + 4*j + 11360?\nAnswer: 45*j**2 - 6*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.798 + 0.618. What is f rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 1634*b**3 - 2 + 3*b**2 - 2*b - 1633*b**3. Suppose p - 22 = 5*j, 0 = 3*j - 0*p + 4*p + 4. Determine c(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.072*-1.9\nAnswer: 0.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -2\/33379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181722759.\nAnswer: 3, 60574253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/20*5\/2*(-33)\/(-99)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -581*g*l**2*p*x - 2*g*l**2*p - 58009*g*l*p*x + 29067*l**2*p + p with respect to x.\nAnswer: -581*g*l**2*p - 58009*g*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.4103 litres in millilitres?\nAnswer: 547410.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -65. Suppose 0 = -l*a + 19*a - 4. Let i be 28\/(-88) - a\/(-2). Put 26, i, 1\/2 in decreasing order.\nAnswer: 26, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -1086, -1635, -2186, -2739?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + (-76)\/(-3). Let w(j) be the first derivative of -4*j**3\/3 + 33*j**2\/2 - 9*j + 64. Let t be w(7). Are h and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 78 = 7*n. Let f be (n - -7) + 1 + 0. Which is greater: f or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 0*i - 3*i)*(-i + 2*i + i) + (0*i + 3*i - 4*i)*(i - 2*i - i) to the form n*i**2 + p + g*i and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418 - 76*u + 171 - 572.\nAnswer: -76*u - 1819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*d + 218 + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13785 and 48?\nAnswer: 220560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k = -4*k + 200 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 4*b + b. Let h be t(2). Suppose 8*m + 114 = 234. Solve 4*k + m = a, -h*k - k - 12 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14823.01 centuries to years.\nAnswer: 1482301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/60 - 33*f**2\/2 + 30*f. Let r(b) be the first derivative of j(b). Let d(a) = a - 4*a + 0*a. Calculate r(d(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsinsihhhhsii. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(13 + 10 - 4)*(13928*y**2 - 102*y**4 - 13928*y**2).\nAnswer: 1938*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*i + 21 = 0, 2 - 5 = -i. Let l(p) = 10*p - 9. Let v(u) = 21*u - 17. Let o(d) = b*v(d) + 7*l(d). Is o(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -1 (c) -0.6 (d) 2 (e) -16 (f) 23514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 48*t**2 - 282*t - 200. Give i(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + 24\/4)*(-12)\/(-120). Which is the closest to -2? (a) -6 (b) y (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:40 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2881*k*y**2 + 2*k*y + 227*k - 12719*y**2 - 185920*y wrt y?\nAnswer: 5762*k - 25438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12688266?\nAnswer: 2, 3, 2114711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 5:31 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0092204 from -3.8.\nAnswer: -3.8092204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6752.8 + 6753. Which is the fifth biggest value? (a) -1.9 (b) -1\/3 (c) -1\/10 (d) h (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*a - 3 = -t, t - 4*a - 10 = 0. Find the common denominator of ((-9)\/t)\/((-18)\/(-122)) and -1\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 1 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 4*f + 9. Let p(b) = 7*b**2 - 3*b + 10. Let l(j) = -5*p(j) + 6*r(j). Let u(d) = 5*d**2 + 4*d - 2. What is 6*l(o) + 13*u(o)?\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/n**1*n))**(-10\/9))**(17\/5) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-4)*4\/(-12). Solve -i*u = -8*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -2*x**3\/33 - 13*x**2\/11 + 96*x\/11 + 968. Determine v so that q(v) = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7013 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 1\/117, -6, 5, 4, 0.5?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41907 and 18091?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 644 + -644. Let h = -3 + 8. Suppose 0 = -3*m - o - 6 + 15, -m + o - 1 = 0. Which is the second smallest value? (a) h (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 49\/1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbngnbgrniginin. Give prob of picking 1 b and 1 n.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 142*n + 2113. What is k(125)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 7, 6?\n\"Answer: -k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 3) - (0 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**3 - 2*l**2 + l. Suppose 0 = 3*o + 2*o - 5. Let z be b(o). Suppose -2*d + 4*d = z. What is the remainder when 17 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {l: 3, b: 6, t: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrgr when four letters picked without replacement from {r: 5, h: 6, g: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -288*m**5 - 5286915*m**4 - 24261694176*m**3 + 47770389026*m**2\/3 - 7582882048*m\/3 - 84254041\/3 = 0.\nAnswer: -9179, -1\/96, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(13\/4)\/(r*r**(-1\/6))*(r*r**(4\/7))\/r**(1\/8) assuming r is positive.\nAnswer: r**(649\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*p - 5*j + 8, 0 = 5*p - 3*j - 23. Sort -2, -3, p.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 2. Let r(f) = 2*f + 3. Determine r(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6 - 1 + 5. Let r(u) = 2*u - 9. Let k(h) = -h + 4. Let p = 5 - 1. Let w(d) = p*r(d) + 9*k(d). What is c(o) + 2*w(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**10\/40320 - g**8\/4480 + g**6\/960 + g**4\/6 - 2*g**2. Let k(j) be the second derivative of p(j). Factor k(o).\nAnswer: 3*o*(o - 1)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698 - 4*h**2 - 708 + 2*h**2 + 1406.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -1) + 0 - (18 + -75 - -44).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53098 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t**2 - 8*t**2 + 5*t**2 - 29*t**2.\nAnswer: 61*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 4.405.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14297398 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9335*i**2 - 2*i - 106763 wrt i?\nAnswer: 18670*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 725, 1631, 2899, 4529, 6521?\nAnswer: 8875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1133\/9 + 126. Let m = -23 - -45\/2. Let f = -7\/10 - m. Sort f, v, -1 in increasing order.\nAnswer: -1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 199*n + 11102. Determine t(-56).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, 2, -808, 4 in increasing order.\nAnswer: -808, -48, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((((sqrt(1008) + 1)**2 - sqrt(1008) - sqrt(1008)) + 2 - (sqrt(1008) + (sqrt(1008) + 0)**2 + 1)) + -4)*6.\nAnswer: 55 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2479? (a) 4 (b) 1\/2 (c) -19\/2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1135761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((1 - 4)\/(-27)). Let o(a) = 5*a - 2*a + x*a - 4*a. Let d(s) = 9*s. Calculate d(o(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001271 rounded to 7 dps?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*d + 546*d = 0. Let x be (2\/(-9))\/(3\/(-9)). Factor -3*p**2 + d - x*p + 11\/3*p**3.\nAnswer: p*(p - 1)*(11*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4 + i - 4*i**2 + 3*i**2 + 5 + 1. Let d be x(0). Is 3 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -549*l**3 + 11*l**4 + 11*l**2 + 273*l**3 + 76*l**2 + 275*l**3 - 23*l**2 to the form d*l**3 + k + c*l**2 + y*l**4 + g*l and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7092 - -13684. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 184\/10*(-70)\/(-7). Let f be l\/(-44) + 5 + -1. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3238081 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - 351. Let d = p - -839. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -30. Let i be (-1313)\/7 + 12\/p. What are the prime factors of (-6)\/(-27) - i\/9?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*k - 16*k. Calculate the smallest common multiple of 14 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1729850266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 233. Let w(x) = -x - 1. Give c(s) + w(s).\nAnswer: 2*s**2 - s + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13458961688 rounded to the nearest one hundred thousand?\nAnswer: 13459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28053016 - 5\nAnswer: -28053021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -647, -5, -21, -1, 6, 3, 2 in decreasing order.\nAnswer: 6, 3, 2, -1, -5, -21, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-24 - (-28 - -3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.4 + 11. Let l = -3354.4 - -3358.4. Let q = 1 - 1.5. What is the third biggest value in l, -4, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22643707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34241127 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -687 divided by -275?\nAnswer: 687\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 229\/11 + (-4)\/(-22). Suppose 2*q + 12 = -x, -2*x = -5*x - 3*q - r. Let w be x\/(-8) + (-105)\/(-28). What is the biggest value in w, -3\/5, -2\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006875029 to seven dps.\nAnswer: -0.0006875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/371 (b) 4\/5 (c) 3 (d) 4 (e) -10\/9 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*v - 155118 + 56*v + 155105.\nAnswer: -25*v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.267 - -0.233. Do 2\/3 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 124*n**2 - 1529*n + 515. What is q(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tptt when four letters picked without replacement from tggppptppt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 = 73*h + 6*h + 89. Solve 56 = -4*s + h*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -1, 4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7927219*x**4 + 19537862 wrt x.\nAnswer: -31708876*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-2*m - 3*m + 4*m) + 2*m + 0*m + 0*m + (5*m - 2*m + m)*(4 - 4 + 1) + 3*m + 3*m - 7*m - m + 2*m + m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580937 is divided by 147?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o + 1 + 45*o**2 + 43*o**2 + 34*o - 85*o**2. Let p(b) = 4*b**2 + 43*b + 1. Let h(g) = 5*p(g) - 6*z(g). Find the second derivative of h(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(175))**2.\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -26*x + 371. What is the greatest common factor of 30 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 3*h + 6. Let l(g) = -35*g**2 - 34*g - 69. Let z(a) = -2*l(a) - 23*p(a). Let m(u) = -u**3 - u**2 + u - 11. What is m(j) + z(j)?\nAnswer: -j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 + 23*n + 45. Let b(h) = -7*h**2 - 24*h - 46. Let j(w) = -5*b(w) - 6*g(w). Let q be j(-12). Calculate the highest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43414.45 rounded to the nearest 10?\nAnswer: 43410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10953 less than or equal to 10954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11523 - -11520. Let k(u) = 18*u - 1. Let w(d) = -18*d + 2. Determine p*k(i) - 2*w(i).\nAnswer: -18*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77668342\/39 + -1991342. Let b = 154 - a. Suppose -4*h + 2*i = 4*i + 6, -5*h + 12 = -4*i. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120281 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 rounded to the nearest 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 6*p - 6. Let c(h) = 5*h + 41*h - 33*h - 15*h**3 + 26*h**3 - 13. Calculate -6*c(g) + 13*x(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*-6*sqrt(21)*-2)\/(3*(sqrt(147) + sqrt(147) + -2*sqrt(147) + sqrt(147))*2))**2.\nAnswer: 1600\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by 91.\nAnswer: -185\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-20)\/(-4))\/((-2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.3 (c) -1 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b - 20*b + 5*b + 168 + 12*b - 175. Calculate h(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331383 or -331382?\nAnswer: -331383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 9*o**2 - 16*o - 3. Let h(l) = -l + 4. Let q be h(-7). Is t(q) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-3 + 2 + 3)*(1 - 2*z - 1) + 50 - z + 27 - 45.\nAnswer: 3*z + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 8*y**2 + 44*y + 4. Let z be h(-8). Solve -10 = -666*b + z*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*v**2 - 469*i**2*v - 179*i**2 + 243*i*v**2 - 752*v**2 wrt i.\nAnswer: -6*v**2 - 938*v - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100274 and 9418?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**3 - 2*r - 1. Let a = 9 - 6. Suppose -f - 5*h - 3 = -12, -5*h = -a*f - 13. Let z be m(f). Put z, 2, -4 in decreasing order.\nAnswer: 2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3. Let t(q) = -2*q**3 - 1. Let o be t(-1). Let d(z) = -9*z + 9*z + o + z**2. Give 2*d(x) + f(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -0.08, 0.12, -2 in increasing order.\nAnswer: -2, -3\/11, -0.08, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*c**6 - 2*c**4 + 46868*c**3 + 1829*c**2 + 3048*c + 1 wrt c.\nAnswer: 5640*c**3 - 48*c + 281208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let n = 14 + -19. Sort i, n, 5 in descending order.\nAnswer: 5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2 + 7*k. Let l(d) = d**3 - d**2 + d. Suppose 109 = -47*t + 438. Determine t*l(a) - f(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 - 2*z**2 + z + 3. Let g(f) = -3*f**3 - f**2 + 2. Give 3*g(p) - 2*h(p).\nAnswer: -p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/63 (b) 0.241 (c) -0.09516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/24516 and -57\/11864155?\nAnswer: 1281328740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/4 + 11*n**4 + 6120*n**3 = 0.\nAnswer: -136, 0, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrpxrxw. What is prob of picking 1 r and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5578 = 2*c - 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v + 2 - 7*v**2 + v**3 + 7*v**2 - 4*v**2. Is h(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by ((-2)\/(-8) - -6) + (-8)\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3855310.\nAnswer: 2, 5, 385531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/2577 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301067057 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**2 + 10*g + 16*g**2 - 1 - 8*g**2)*(-23 + 18 - 12).\nAnswer: 34*g**2 - 170*g + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1995*l - 1369. Is i(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903898 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let j(n) = -106*n + 25*n + 28*n + 33*n. Give j(v(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24757737481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhshhshcqhsmhhqsqh. What is prob of sequence mqm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 + 6*z - 19. Determine i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*j - 21, -221*d - 5*j + 81 = -199*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -15*o**2 - 77*o + 24. Determine f(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 59. Put -1, j, -1\/5 in ascending order.\nAnswer: j, -1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -509706.9862.\nAnswer: -509702.9862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -22\/31, -0.1 in decreasing order.\nAnswer: 12, -0.1, -22\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126223 (base 8) to base 10.\nAnswer: -44179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1728 and 1281744?\nAnswer: 5126976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/14 + 6\/3. Let o = 29882 + -29886. Suppose -7*t = 4*x - 2*t + 9, 0 = -4*x - 3*t - 7. What is the biggest value in l, o, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let x(a) = 3*a - 4. Let k(p) = p**3 - 5*p**2 + 4*p + 1. What is the lowest common multiple of x(u) and k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(85)*1*4)\/(sqrt(30)\/sqrt(6)*-2).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 48 = -5*r - 8, 3*m - r - 11 = 0. Suppose 4*z + 8 = -m*n, z + 0 = 3*n + 15. What is the tens digit of (-1734)\/(-10) - n\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.2 + 1.2. Let g = 26693 - 26689. Let j = -1 - -1.06. Put q, j, g in increasing order.\nAnswer: q, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -36*u - 4. Suppose 46 = 4*z + 3*m, 3*z - 48 = -5*m - 19. What is the remainder when s(-4) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 9*s + 5*s - 12*s)*(-1413 - 3*s + 1413 + (3*s + 2*s - 7*s)*(2 + 3 - 3) + 3*s - 5*s + 0*s) to p + o*s + b*s**2 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-9412*w + 1809*w - 5622*w - 6828*w + 2412*w) to the form t + d*w and give d.\nAnswer: -17641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.309 + -2.309. Which is the nearest to 2? (a) 0 (b) p (c) 5 (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, -303921, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -80*l**3 + 2*l**2 + 10*l + 11. Let f = 125 - 128. Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(23\/(-115)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -621, -332, -41, 252, 547, 844, 1143?\n\"Answer: v**2 + 286*v - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 7*s = 3*s + 8, 82 = 5*g + 24*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3)\/(-9)*3. Let x be r\/(-2) - (-188)\/(-4). Let k = x - -111. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o - 5. What is the tens digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 227 + -205 - (2 + (-1 - 8))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeezqwqqqz. What is prob of picking 1 z and 2 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1065356?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose -19 = -4*c + w, -4*c + z*w + 15 + 1 = 0. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1560948 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(-5 + sqrt(6)\/sqrt(2)) - -1*(sqrt(9)\/sqrt(3)*2 - sqrt(3))**2*4.\nAnswer: -6*sqrt(3) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 141*u + 2645. Determine i(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 - 4. Suppose -5*b - 3*t + 89 = 0, 0 = 4*t - 2 - 10. Let n = b - 11. Let k(y) = -5*y**2 + 3. Let v be 7 - (-3 - 6\/(-1)). Give n*k(u) + v*o(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(8) + sqrt(200) + -4 - (1 + 4 + sqrt(200)*3).\nAnswer: -18*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5984 (base 15) to base 3\nAnswer: -222002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - -1*1*-2. Factor l*f**2 + 5*f - 5*f - 2*f**3 - 4*f + 2*f.\nAnswer: -2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4495112 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 + -1 - (1 - 3). Suppose 100 = -4*c + 4*v, 4*v - 25 = -2*c + 3*c. Let x = c + y. Let r(n) = 10*n**2 - 1. Determine r(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61496, -61502, -61518, -61550, -61604, -61686, -61802?\nAnswer: -61958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1131\nAnswer: 2\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -174 times -2.1\nAnswer: 365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -4, 0, 13 in descending order.\nAnswer: 13, 0, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 11. Let x = -2 - v. Suppose x*g - 399 - 732 = 3*q, -5*q = -3*g + 1139. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 - 2\/(-2). Suppose -25*t = -236 + 11. Suppose w*a - 78 - t = 0. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265 + -1595\/6. Let r = 192.3 - 192.4. Which is the third biggest value? (a) f (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = -5*a, -2*z - 5*a = 14 - 0. Suppose -5*v - 51 = -3*i - 6*v, 4*i - 3*v - 107 = 0. Solve z*b - 5*f = -i, -3*b + 3*f - 4 = 2*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f + 2. Let r be a(3). Let m = 8 - -11. Calculate the remainder when m is divided by (2\/(-3))\/(r\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v + 10. Let b be c(2). Let l(h) = 5*h + 69. List the prime factors of l(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (1 + -4 - -6). Suppose -12 = -5*s - 2. What is the second smallest value in 4\/9, s, l?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2*((-14)\/4 + 4). Suppose 3*d - 11 - 7 = 0. Let q be ((-1)\/g)\/(d\/(-18)). What is the highest common factor of q and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 3. Let m(l) = 2*l**2 + 7*l - 11. Let s be m(-6). Sort s, f, -0.3 in descending order.\nAnswer: s, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 4792*p**2 - 48256*p + 77312.\nAnswer: 4*(p - 8)*(p - 2)*(p + 1208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7)*c\/c**(-3\/7))**(-14) assuming c is positive.\nAnswer: c**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -651 + 10*s**3 + 212 + 9*s**2 - 2*s + s**4 + 218 + 3*s**2 + 220 as w*s**4 + t + l*s**2 + g*s**3 + o*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 229 = -5*m, 0 = y - 0*m - 4*m - 52. Let i = y + 272. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 29*r**2 + 8*r - 4. Let o be j(7). Solve -o*s = 47 - 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303734 rounded to 4 dps?\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Suppose q*n - 3*j - 3 = 0, -5*n + 0*j - 5*j = -45. Solve n*s = 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36209*n + 9808*n - 27628*n - 48207*n.\nAnswer: -102236*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(0 + (-3)\/51). Let d = l + 589. Is (0 - 1)\/((-4)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**35*i**5\/i*(i**(-21\/5)*i)**50 assuming i is positive.\nAnswer: i**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * -374.856\nAnswer: 52.47984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2888.885 to zero decimal places.\nAnswer: -2889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 1, 9561, 2, -5 in descending order.\nAnswer: 9561, 2, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuirivq. Give prob of picking 1 i, 1 v, 1 u, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15105 + 10821. Let k = j + -13135. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/228)\/(((-15)\/16)\/(180\/(-240))).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17465 or 720?\nAnswer: 17465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215431920.3 + -215401416.589948. Let z = t + -30523.71. Let q = 20 + z. Round q to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + 17.3. Let v = -27 + h. Let q = -10 - v. Which is the third smallest value? (a) -2\/19 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3882*t - 783 = 3795*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -163*n - 849. Determine q(-6).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139859664*z**3 + 140790*z**2 - 147?\nAnswer: 839157984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4421 + 3904 = 1991*s - 743 - 887 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.121 - -0.241. Let z = -0.88000152 - u. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*k - k - k)*(-7 + 1 + 4 + 2 - 1 - 2 + (6 + 0 - 3)*(0 + 2 - 1) + 12 - 7 + 37).\nAnswer: 84*k + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1324, -3166, -6236, -10534, -16060, -22814, -30796?\nAnswer: -40006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 13\/6*x + 1\/6*x**2 = 0. Calculate x.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 - 35*z**2 + 0*z**2 + 27200 - 27200.\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from bbeeeeeebbbegeeebbh.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -6.58 (b) 4 (c) -3578\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {f: 6, v: 2, k: 10}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263149?\nAnswer: 79, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + c**2 - c**2 + (0 - 3*c + 0)*(-11*c + 26 - 26).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(343)*-1*-3 - ((sqrt(343) + sqrt(343)*-1)*4 - sqrt(343))) + 2 + 1)**2.\nAnswer: -56*sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3306 and 2983.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298934 (base 11) to base 9.\nAnswer: -778663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**7\/2100 - h**6\/15 - 4*h**5 - h**4\/3 - h**3\/6 + 3*h - 1. Let p(u) be the third derivative of w(u). Factor p(q).\nAnswer: -6*(q + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4 - 1 + 3*i - 2. Let w be b(1). Let j = 291 - 291.3. What is the nearest to 0 in j, w, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 1 = r, -29*d - 4*r - 9 = -28*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-270)\/(-144)*-101 + 0. Is j greater than -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 + 2*x + 26*x - 2*x**2 to p + i*x**2 + f*x and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -19. Let j = -20 + a. Let u(y) = -19*y**j - 16*y**2 - 16*y**2 + 52*y**2. Let x(z) = -47*z. Calculate x(u(i)).\nAnswer: -47*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5 = -203. Suppose -5*a + 3*m = -l, -3*m = -4*a + 2*m + 13. Suppose 0 = -3*i + a*i. Solve 2*o + y - 3 = -i*o, -5*o + y + 11 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -32102002?\nAnswer: -32101333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -12*q - 6. Let b(r) = -3*r. Let v(m) = -10*m - 2. Let x(g) = 9*g + 1. Let n(u) = -2*v(u) - 3*x(u). Let s(z) = -5*b(z) + 2*n(z). Give s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50591 is divided by 755.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/4 + (-90)\/72. Solve -g = -2*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 5*q + q + 5*q + q - 4*q + (-q - 3*q + 3*q)*(5 - 4 - 2).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 32*h = 5150. Does 206 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8908*z + 4871*z + 4422*z)*(5 - 3 - 3)*(3*z - 3*z - 2*z) - 4*z**2 + 3*z**2 + 2*z**2 + (z + 3*z - 2*z)*(-2*z + 2*z - 2*z))*(-3*z**2 + 3*z**2 + 8*z**2).\nAnswer: 6136*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -48, -110, -216, -378, -608?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-14224)\/28735 + 2\/5). Let j = r + 41497\/73069. Let f = -7747\/1068 - j. Find the common denominator of 28\/15 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 84*v - 1690. Calculate the remainder when 7109 is divided by k(22).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:08 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6837 + 1613. Does 50 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/((-6048)\/531) + -4.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 1 + 2*k**3 + k**3 + k - k + 2*k**3 + (-k**2 + 4*k**2 - 2*k**2)*(0*k + 3*k - k).\nAnswer: 6*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -121430233 (base 6) to base 12\nAnswer: -93b379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d2 - 18b70?\nAnswer: -19352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j**2 - 2*j + 7*j - 5*j)*(-65*j - 72*j - 17*j).\nAnswer: -2156*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-37))\/b)**(-12)*(b*b**(1\/5))\/(b\/b**(-6\/19)) assuming b is positive.\nAnswer: b**(42169\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + 15\/(-6) + (-3)\/(-6). Let h(l) = -5*l**3 + 4*l**2 - l**2 - 10 - 7*l + 3. Let a(r) = 2*r**3 - r**2 + 3*r + 3. Calculate s*a(k) + 3*h(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4*m - 3*m)*(9 - 9 - 9*m + (-3 + 2*m + 3)*(-3 + 0 + 4)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + t)*((2 - 2 + 1)*(2*t - 5*t + 2*t) - 4*t + 13*t + 13*t).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**3)*i*i**(-1\/2)*(i**(-1))**(-1\/25) assuming i is positive.\nAnswer: i**(177\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:01 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**2 + 7*s**6 + 4*s**2 - 7*s**2 wrt s.\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/126 - 562\/261 - (-26)\/13?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13242441 (base 5) in base 10?\nAnswer: -134121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -247, -370, -493?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 656*w - 652 = 0 for w.\nAnswer: 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25164*s**6*z**2 - 5172*s**2*z**2 + 2*s**2*z + 2*z wrt s?\nAnswer: 3019680*s**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.4, -4, 4, 0.061 in decreasing order.\nAnswer: 4, 0.4, 0.061, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 = s, -5*s - 5*g - 35 = -3*s. Let r be (1\/15)\/(s\/30). Which is the closest to -2? (a) -0.1 (b) r (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647 divided by -182?\nAnswer: 4647\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305551.\nAnswer: 305551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 2, b: 9, r: 3, g: 2}. Give prob of sequence epg.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*14\/8*(-6)\/(-21). Let o = n + 107. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 13*s + 31, -5*g + 28*s + 5 = 23*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -1. Solve 14 = 2*o - 4*x, -3*x = -2*o + 2*x + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 9:56 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 276 = -3*s. Calculate the remainder when s is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 161523 and 0.2.\nAnswer: 161523.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 - 3*l**3*t - 246*l**2*t + 79*l*t - 8*l - 3*t wrt l.\nAnswer: -12*l**2 - 18*l*t - 492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 250*o**3 + 247*o**3 + 24.\nAnswer: -3*o**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.03.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 8825923557729.\nAnswer: 8825923557730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 39*d - 5. Let a be n(-8). Sort 2, a, -27 in ascending order.\nAnswer: -27, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230 - 271*v - v**2 + 4*v**2 + 535*v - 262*v to l*v**2 + u + w*v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1324*z - 1322*z - 1 = -6, -63*u - 81*u + z - 730 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20112.\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32251 + 38218. What is the least common multiple of g and 1377?\nAnswer: 17901","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -1. Let q = -1355\/1589 - 1\/227. What is the closest to -1 in 4\/5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h - 4*t = -157*h - 7, h + t - 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 125 = f. Suppose 5*y + f = -0*y. Does 8 divide (4 + y)\/((-1)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awh when three letters picked without replacement from wxhwah.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4 = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.107 (b) 23 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409\/300 + -3\/100. What is the closest to 0 in -0.2, 0.07, q?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 2*z**2 + z + 2. Let h be u(1). Solve h*g + 40 = 44 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppepzippoogggioepoo. What is prob of sequence iz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2 - c + 8. Suppose l = b - 6, -12 = 2*b - 5*b - 3*l. Let i(f) = 3*f + 1. Give b*i(g) + 7*t(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 854061 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*c - 1 - 2*c + 2*c + 2*c + (-1 + 1 - 2*c)*(-1 + 0 - 1) + 2 + c - 2 - c + 4 - 4)*(71*c + 4*c - 206*c).\nAnswer: -524*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9*l - 48 = -1, 0 = 2*t - 5*l - 59. Calculate the greatest common divisor of t and 4329.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*r + 611 = 32, 4*c - r - 2281 = 0. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 11*f = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.887 + -0.787. Let i = -28 - -26.9. Let g = i + h. Which is the third smallest value? (a) 0.2 (b) -6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**2 + 1 + 1\/2*i.\nAnswer: -(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 145 + 240 = -9*w. Let c(f) = f + 5. Let m be c(-4). Put -2, m, w, -1 in decreasing order.\nAnswer: w, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387 (base 12) to base 4\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/10 + (-21604)\/2455?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 653964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-14) - 10\/(-35). Suppose -13 = -d*q + 41. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15383812 = 15383810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3976*g - 10. Let o(i) = 11148698*i - 28042. Determine -5*o(r) + 14021*u(r).\nAnswer: 4006*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - -152. Suppose -o*x + 272*x = 16. Solve 4 = 3*f + s + s, 0 = -f + 2*s - x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*p + 515*p = -3*z - 77, -z = -p - 14 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003904432 to six decimal places.\nAnswer: -0.003904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 - 6. Let v = -0.054 + -1.946. Which is the nearest to -0.1? (a) v (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 9) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 59388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101845003.\nAnswer: 13, 1997, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3\/2 + 1659*v**2 - 395136*v - 36303120 = 0?\nAnswer: -70, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 18*l**2 - 30*l**2 + 31*l**2 + (3*l**3 - 4*l**3 + 0*l**3)*(-2*l - l + l) + 3*l**4 - 39*l**4 - 34*l**4.\nAnswer: -69*l**4 - 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452\/36838*652 - 1\/((-1)\/(-58)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(1152) + -1*sqrt(1152) + sqrt(1152)).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308 or 307?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 - (3 - 0 - (-20 - (-13 - 21)))) + -9.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 5*j + 10. Let x(w) = 2 - j - 5 + 2*w. Let n be x(4). Solve 0 = 2*d + 2 + 6, -3*h + n = 3*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 512\/52 - 2\/13. What is the tens digit of 0 + 101 - (d + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67571.947 - 67609. Let g = u + 0.053. Let l = -35 - g. Sort 0.2, l, -0.5 in ascending order.\nAnswer: -0.5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (397*w**3 - 307*w**3 + 382*w**3)*((-w + 0*w + 3*w)*(4 + 1 - 3) + w - 3*w + 3*w - 14 - 11*w + 14).\nAnswer: -2832*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytt when three letters picked without replacement from uuuttututyyututytu.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001011010100100010000 (base 2) in base 14?\nAnswer: 1628760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/78 + -775\/702. Find the common denominator of z and 5\/63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -3584707\nAnswer: 358470.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n + 48*n = -54*n - 195 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14242*g. Let r(h) = -195*h. Determine i(r(s)).\nAnswer: -2777190*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 16*c**2 + 45*c - 5. What is the units digit of q(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 - 138. What is the highest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.66*-271170\nAnswer: 178972.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 25*y**2 + 60*y - 279. Give h(27).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 20640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = 119*i - 124*i, 0 = 3*i - 5*h + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 840\/(-1120)*112\/(-6) - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 4925, -163\/3, -2\/15 in descending order.\nAnswer: 4925, 2\/21, -2\/15, -163\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**20\/y*y*y*y**(-11)*y assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-832)\/(-18) - ((-170)\/45 + 4). Suppose 0 = -26*o + m*o + 60. Which is smaller: -30\/17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-8))\/(2\/(-8)). Suppose -26*p - 1 = -25*p. Put r, p, -6, 5 in increasing order.\nAnswer: -6, r, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11767634, 11767638, 11767642?\nAnswer: 11767646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 116724\/106997*(4\/6)\/2\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13544 + -4?\nAnswer: -13551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2392 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/720 - 7*a**5\/120 - a**4\/12 + 5*a. Let n(d) be the third derivative of b(d). Is n(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, a: 2}. Give prob of picking 2 r.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 12*m - 8. Calculate l(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cacd (base 14) to base 12.\nAnswer: 36639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -194.906. Let j = 6.359 + -3.265. Let q = y + j. Which is the second smallest value? (a) -2 (b) q (c) -2\/13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6817*g**4 - 2*g**3 + g**2 - 1702706*g.\nAnswer: 81804*g**2 - 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4657731 or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g**0\/g*g)\/g)\/g))\/g*g)**15\/((g\/g**2)\/g**1)*(g**(-1\/7)\/(g*g\/g**(1\/4)))\/(g\/(g*g**(-2\/3)\/g))**(8\/13) assuming g is positive.\nAnswer: g**(48137\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 34, 19, -12, -65, -146, -261?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390 - -550. Is x less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*o**2 - 10 + 4*o**2 + 9)*((0 + 0 - o**2)*(0 + 6 - 3) + 4*o**2 - 4*o**2 - o**2) as m*o**4 + q*o**3 + n + b*o + g*o**2 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072903777.\nAnswer: 11, 97536707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:57 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 5 (c) -1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15008 and 143648.\nAnswer: 1005536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2326 + 2575. Solve -239 = 2*m - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1685696*g - 2. Let f(j) = 61*j. Determine b(f(p)).\nAnswer: 102827456*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + -51.6. Let j = b - -52.99999977. What is j rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598767?\nAnswer: 1598767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -958 divided by 3.\nAnswer: -958\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 1 - b - 5*b)*(13 + 2 - 2) in the form m + q*b and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 10*h**2 + 25*h + 2. Let r be q(5). Suppose r*m + 5*f - 3*f + 4 = 0, -2*m + 1 = f. Solve 2 = -m*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 3*f + 6, 4*r + 2*f - 14 = 0. Let j(d) = -20*d + 7. Let l be j(r). Let m = -20 - l. What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/189)\/((-18)\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 13. Suppose b = -b - 30. What is the remainder when 7 is divided by w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:22 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*146\/876?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from ebbebafaeba?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 26415?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -347*q + 13164 + 19594 + 25533 - 13875 for q.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2218 and 1567017?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h + 103 - 327*h - 105 in the form u*h + n and give u.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Suppose 12 = 3*j - 0*j. Let k(m) be the third derivative of 0 + m**2 + 0*m**3 + 0*m + 1\/60*m**5 + 0*m**j. Calculate k(t(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9550600 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**7\/840 - 7*c**6\/480 - c**5\/48 + 7*c**4\/96 + c**3\/4 - 3*c**2. Suppose d(o) = 0. Calculate o.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1240 and (-3 - -7 - 2)\/((-9)\/(-18)).\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*a + 66, -2*i = -11*a - 7*i + 242. Solve -4 = -26*o + a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25600*k - 919*k**2 - 25600*k + 1846*k**2 - 926*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + g - g + (-289 - 9*g + 289)*(0*g**4 + 0*g**4 + 2*g**4).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -33.1. Let m = -0.9 - g. Which is the closest to 0.03? (a) -4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104748910 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 299 (b) -0.3 (c) -0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -18*w + 57*w**2 - 44*w + 62*w. Let d(k) = -8*k**2. Calculate v(d(b)).\nAnswer: 3648*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(5) + sqrt(5) - sqrt(5)) + 2 + (-3*(sqrt(125) + -1))**2.\nAnswer: -91*sqrt(5) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(23\/2))\/d**3*((d\/d**26)\/d)\/d*(d**(2\/13)\/d)\/d assuming d is positive.\nAnswer: d**(-503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01590505 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -0.021 * -0.04\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121894009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -14. Let c = 8 + -7. Calculate the smallest common multiple of l and (4\/8)\/(c\/20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*m - 1, 5*k - 1 = 5*m + 4. Suppose -y - 4*y = 0. Let d = 0 - y. Are k and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 29*u**2 + 33*u + 971. What is d(-29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aneeegenme. Give prob of sequence nean.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 2. Let r be x(2). Suppose -6*b + 203 = 5*c - r*b, 2*b = 3*c - 113. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 2*o. Let w be r(2). Let p = 1 + w. Let d(y) = 8*y**2 + 8*y + 2. Let v(x) = -x**2 - x. Calculate p*d(k) + 6*v(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101730 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -191, -205, -235, -287, -367?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -221*x**8\/56 + 215*x**4\/12 - 2*x - 25. What is the third derivative of o(p) wrt p?\nAnswer: -26520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/114 and 19\/5050?\nAnswer: 287850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -294838, -293809, -292780, -291751, -290722?\n\"Answer: 1029*j - 295867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2) + 1 + 4 + -5)**2*4*4 + 2 + 4)*2.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -15. Let l(t) = -4*t + 4. Let m be l(h). Suppose -3*f = -f - m. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10899868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqgg when four letters picked without replacement from qqgqg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -6645444 in decreasing order.\nAnswer: 5, -4, -6645444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -144604.\nAnswer: 144604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 - r**3 + r**2. Let h be f(0). Let q = h + 20. Solve 3*o - 12 = 0, 2*n + 5*o = -2 + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53893, 53811, 53621, 53281, 52749, 51983?\nAnswer: 50941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.9 - -3.4. Let x = -98 + 113. Let p = x + v. What is p rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*y + 2*y**3 - 13*y - 10*y + (0*y**2 + y**2 - 3*y**2)*(4*y - 5*y + 3*y).\nAnswer: -2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 - 4*z - 3. Let u be d(-3). Let n be 4*(78\/936 + (-1)\/(-6))*-2. What is the nearest to u in -92, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(2*(-6)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 238526*c\/7 - 9043772.\nAnswer: -2*(c + 266)*(c + 118997)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/48871 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -12. List the prime factors of 2 - (n - -2) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - 4) + 34 + (-45 - -40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugu when three letters picked without replacement from ugdigguiggguigugug?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -4 (c) 4 (d) 0.5 (e) -1753 (f) -27\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 245, -256, -1229, -2830, -5215?\nAnswer: -8540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1038 and 1662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1616628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 - 7*f - 4. Let z be l(8). Suppose 2*h + z*d = 20, 3*h - 9 = 3*d - 2*d. Solve -2 = -h*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 899948 + -608163. Suppose -7448215 = 9*x + h. Round x to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 >= -254\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1118\/3 or -372?\nAnswer: -1118\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3994, 3993, 4002, 4027, 4074, 4149, 4258?\nAnswer: 4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:51 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-54)\/21) + (-1)\/(-1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20042 - -20041. What is the nearest to 2\/5 in 2\/63, -74, z?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 27921255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 - -233. What are the prime factors of s?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 45, 89, 159, 261, 401?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 4:38 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7354980 is divided by 84540.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u = -8*u + 2*u + 795 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1850*b**2. Let r(s) = -68*s + 62*s + 8*s. Give r(x(i)).\nAnswer: 3700*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 14962916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = 4*j - 32, 0 = -j - 2*a + 15. Differentiate -j*d + 10*d - d - 10 + 0 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253.68 + -259. What is s rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172304636 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(20))**2 + 2*sqrt(5)*-3.\nAnswer: -2*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 7*b + 6. Let r(d) = -2*d**2 - 8*d + 6. Let f(t) = 3*i(t) - 4*r(t). What are the prime factors of f(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 26. Let o = 32 + -32. Let q be j(o). Suppose -m = -4*k + 330, 2*m - q = -k + 61. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/60 + c**5\/10 + c**4\/4 + c**3\/3 + 10*c**2 + 20*c. Let u(z) be the first derivative of f(z). Factor u(a).\nAnswer: 2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-714)\/10)\/((-48)\/80) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 2, i: 2, s: 2, e: 1, c: 1}. Give prob of sequence cz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-241 + 258 + (-12 - 1) - -83) + -14.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/30 + 13*p**4\/24 - p**3 - 51*p**2 - 2. Let y be a(6). Let z be -1 - -1 - -6 - 2. Solve z*d + 12 = -y*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(95)*-2 + sqrt(95))\/sqrt(5))**2*3 + (sqrt(133) + (sqrt(133) - sqrt(133)*-2) + sqrt(133))\/sqrt(7) + 5.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2746, -12687, -32378, -64375, -111234?\nAnswer: -175511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/948 and (689\/(-20592))\/((-7)\/15 + (-8)\/(-10)).\nAnswer: 41712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.00446 rounded to zero dps?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -2. Let q = z - 0.2. Let r = -0.4 - q. Which is greater: -0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15844964+-1482.901\nAnswer: 15843481.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26857 + -19157. Suppose 23*q - 9*q - n = 0. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108408490717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 63*r - 99. Let v be j(-33). Which is the second smallest value? (a) -1\/80 (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v**12\/v*v))\/((v*v\/(v*v*v**(-7\/2))*v)\/v)*(v*v*v**(-2\/3))**(-11\/4))**10 assuming v is positive.\nAnswer: v**(-485\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 0*y - 8*y)*(y + 0*y + 5 + 0*y).\nAnswer: -2*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 70\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5565040, -11130083, -16695126?\nAnswer: -22260169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 577?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102193 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124283607 divided by -17754801.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 521*i + 5641. Give v(-11).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c - 4. Suppose -4*b + 5*a = 9, -11 = b - c*a - a. Suppose 3*y + 0*d = -d + 2, -4*y = d - 2. Solve 4*h + 5*p + 5 + 4 = y, -4*h - b*p = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235\/(-475) + 1287\/195?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-18) - 130\/585?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 + 4*d + 3. Let a(w) = -w**2 + 2*w - 3. Let n be a(2). Let q be b(n). Let f = 13 - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32487577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77994273 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001101 to 7 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 10. Let z = d - 82. Let p = 0.13 + 4.87. What is the second biggest value in z, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 3. Let v be r(3). Suppose 7*b - v = 4*b. Suppose 0 = g - b - 8. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708952.\nAnswer: 2, 23, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3429566 and 19\/85739150?\nAnswer: 85739150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76)*2 + sqrt(76))*-5)\/(sqrt(44)\/(sqrt(11) - (sqrt(11) + -1*sqrt(275)))).\nAnswer: -75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/248 and -67\/20.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-6)*u)\/(u\/(u**(-3\/7)*u)))\/(u\/(u**1\/u))**(-48))\/((((u\/u**6)\/u)\/u)\/(u\/(u**3*u)))**11 assuming u is positive.\nAnswer: u**(620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 68. Suppose -5*c - 128 - 69 = -3*t, w*t + 3*c = 213. What is the greatest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/7734 and 113\/301626.\nAnswer: 301626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 23*l - 25. Let w be k(18). Let b = w + -53. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/(-105) + (-2)\/(-7). Let m = 137\/2 + -70. Let t be 14\/(-6) + (-1)\/(-3). What is the nearest to t in r, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/6 or 22646?\nAnswer: 22646","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 15022653 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 - 12000*d**2 + 9000000*d = 0. Calculate d.\nAnswer: 0, 1500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-4 - -3) - 1. Let u = 5 - v. Let o = -20 - -26. Is o < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 36*k + 433 = 34*k, 5*p = -2*k - 2189. Which is smaller: -435 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - 1) + (-30 - -2) + (612 - 587).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5))\/((q**(-2)\/q)\/q))\/((q\/q**2)\/q**(-5)) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/10)*-10*(-275)\/(-1250)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*i + 24, -3*a = 298*i - 302*i + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(-22)\/(2 - -9) + 40 - -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 43*g**2 + 6. Let q be b(43). Suppose -5*z = -4*v + 3901, -v - 2*z + q*z = -989. Is 51 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -711*q + 694*q + 244792 + 121881. What are the prime factors of q?\nAnswer: 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -9*y + 128. Suppose 27 - y = 2*n. Which is greater: n or -15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = h - 2, 3*h - 11 = -5*g. Let a(r) = 18*r**2 + 3*r - 3. Calculate the remainder when 105 is divided by a(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 5*h - 1 + h)*(1 - 10 - 34)*(-5*h**2 + 2*h**2 + 0*h**2) to v + j*h + q*h**3 + a*h**2 and give q.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.5 (c) -63 (d) -1 (e) 0 (f) 0.40942\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**16)*r)\/((r*r**(-2\/25))\/r))\/(r**(-18)*r**(2\/9)) assuming r is positive.\nAnswer: r**(643\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-4) + (-1)\/2. Let f(y) = y**3 - 10*y**2 + 10*y. Let l be f(h). Suppose 4*n = 41 - l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 20524 = 5*g - h, -2*g = -5*h - 8228. Suppose 3*n = -0*n + g. Suppose -l + n = 2*l. What is l rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 6\/13, 2, 13\/5, 0.2, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/(-25) + 0)\/(4\/3460) + 1 is divided by 221.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/18*-2). Let i be (-2 - 59982\/a)*-795. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73979888 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 40 - 55 - -43\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + 52. Let v(x) = 3*x + 55. Let y be v(-18). Suppose 4*l - 29 = a + y, 0 = -5*l + 20. Is z not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1091 - -1093. Let u = -0.2 + -0.8. What is the closest to 2 in o, u, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 13*t + 34*t - 7*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-38))\/((-1)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 32*t**2 - 1. Let s be y(-2). Suppose 0 = -122*w + s*w - 210. What is the greatest common divisor of w and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -117135944?\nAnswer: -117135944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(3 + 81\/(-28)). Let t be 6\/(-4)*y\/(-21). Suppose 20 = 3*o - t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113419956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -115.\nAnswer: 3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539)*2 + -3 + sqrt(539) + sqrt(539)*-1 + -1)**2.\nAnswer: -168*sqrt(11) + 4867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + -3.78. What is the biggest value in m, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 188. Let j(s) = s + 91. Give 7*j(v) - 3*p(v).\nAnswer: 4*v + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1))\/(f*f**(1\/3)))**(-11\/4)\/((f\/f**(2\/15))\/f*f**(1\/6))**0 assuming f is positive.\nAnswer: f**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 + 956. Let v(q) = 3011*q. Give d(v(l)).\nAnswer: 3011*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2407, -1848, -1289, -730, -171, 388?\n\"Answer: 559*k - 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 - 9 = w, 0 = -w + 2*y + 6. Let g be (38\/w)\/((-4)\/8). Suppose -3*r - g = 4*s - 7, 2*r + 8 = 2*s. Solve s = -5*l + 1 - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2*d)*(-25*d + 87 - 87) to the form b*d + l*d**2 + j and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) - 12\/54. Suppose -3*a + 0*a + 246 = l. Suppose k - a = 32. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose 0 = y - 1 - 0. Is 8 a factor of k - (y - 29 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4*a - 4*a)*(a - 3*a + 4*a) - 7*a**2 - 4*a + 4*a + 3 + 2*a**2 - 7 + 2 + 5*a.\nAnswer: -a**2 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014407 to 5 decimal places.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-24))\/((-37)\/(-148))*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017879338789 to 7 dps.\nAnswer: -0.0017879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/5)\/p)**(-34))**(-1\/5)\/((p\/(p**(2\/7)*p))\/(p\/(p*p\/((p**(-5\/2)\/p)\/p)*p))*p\/(p*p\/(p\/p**(-4\/5)))*p*p*p**(-6)) assuming p is positive.\nAnswer: p**(-2007\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/310 - -126251\/310. Let y = k - 407. Factor 0 - 2\/5*i**2 + y*i.\nAnswer: -2*i*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 16.2. Let i = h + -2.2. Let n be (0 + -2)\/(16\/(-10)). Which is the third smallest value? (a) i (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301 + 140 - 1 + (-4 - 2 + 5)*(-2 + 3 + 0) + 2 + 2 - 3)*(0*s - s + 4 + 2*s).\nAnswer: -162*s - 648","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + m + 1.\nAnswer: (m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**3 + 5*c**2 + 3*c - 13. Let h(b) = 9*b**3 - 9*b**2 - 5*b + 27. Let s(m) = -7*a(m) - 4*h(m). What is s(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5780\/(-630) + 4 + 6 and 187\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374558278 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*d + 2*l + 135, 0 = -5*l. Suppose -v = -272 + d. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5966046 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-12)*8\/2. What is the first derivative of 4*n - i - 2*n + 2*n - n wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -6*a + 385. What is the highest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g + 9656 = 8360 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.2 + 9. Let u = 8 + -6.9. Let g = u - m. Which is the closest to 1\/3? (a) -5 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 41*m**2 + 22*m - 170. What is the units digit of z(41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1454*k + 1580*k - 1764 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72715, 145411, 218107, 290803, 363499, 436195?\n\"Answer: 72696*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9651, 10128, 10603, 11076, 11547, 12016, 12483?\nAnswer: 12948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -137610.2 rounded to the nearest 1000?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126321 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453894962?\nAnswer: 2, 3, 13, 18639679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4745.5573 rounded to the nearest integer?\nAnswer: -4746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124551 (base 8) to base 10.\nAnswer: 43369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(72\/(-30))*28\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14985 = 19*s - 21609. Let t = s + -1100. What is the remainder when t is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdk. Give prob of sequence drk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472291 and 699.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 11*u - 8*u - 18. Let n be k(-10). Suppose -n*p - 1 - 7 = 0, -3*h - 4*p = -11. Solve -h = -3*w - 0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-n**5 - 2*n**5 + n**5) + 36*n**5 - 28*n**5 - 27*n**5.\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Suppose -4*n + 0 = 4*o + 8, 5*o = -2*n - 1. Let l(g) = -4*g - 5. Calculate o*l(c) - 3*b(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 + -61. Suppose -3*k + 4*c = -y - 267, -3*k + 5*c + 427 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8843*n**3 + 8898*n**3 - 5605*n**3.\nAnswer: 12136*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 - (-14)\/56. Let h be g - ((-56)\/(-12) - 3). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -5*v + 295, -v + 59 = 5*j. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k - 33. Let j be c(-5). Let d(i) = 6*i**j - 5*i**2 - 6*i**2 + 2*i**2. Let w(y) = 20*y. Determine w(d(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966505 is divided by 2143?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30933110 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 4*r**3 - 107*r - 105. Differentiate i(a) with respect to a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = -2*z, 2*k = 3*z + k + 8. Let i = 5 + z. What is the least common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 611318422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from djdijddddilj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*y + 0*y + 22.\nAnswer: 3*y + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, 28.8, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 210, 311, 420, 537?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16574375\/12 + -1379815. Let u = -1384 + x. Let h = 231659\/16 - 14485. What is the common denominator of h and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11392 is divided by 548?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3*y**4 + 3\/5*y**5 - 129 + 4*y**3 + 0*y + 0*y**2. What is u in r(u) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -54 (b) -1 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.144043 and -0.5?\nAnswer: 0.0720215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 455298*b*f**3 - 3782*b*f - 3560*b - 3*f**3 wrt f.\nAnswer: 2731788*b*f - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1080, -1240, -1496, -1854, -2320, -2900, -3600, -4426?\n\"Answer: -q**3 - 42*q**2 - 27*q - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 7*u - 8. Let w be o(-8). Suppose -20*d - w = -22*d. What is the highest common factor of d and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13 and 34?\nAnswer: 33.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/135 - ((-4)\/8 + 190\/90).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8156 - -35476. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092 times 12.458?\nAnswer: -0.1146136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.95517 to 1 decimal place.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -85\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -67561364\nAnswer: 337806820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 247 = 10*g. Suppose -11*m = -m - g. Let v(u) = -u + 3. Let j be v(-6). Calculate the greatest common divisor of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 207, 447, 793, 1251, 1827?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 bigger than -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(7*d - 12 + 12) + 0*d**2 - 3*d**2 + 2*d**2 + (-2*d + 5*d - d)*(d - 4*d + 2*d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/20 + 44\/10. Let v(z) = 0*z + 0*z - n*z - z. Let q(t) = -2*t. Let i(m) = -9*q(m) + 4*v(m). Let b(r) = r**2. What is i(b(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5073\/5 + -1015. Let a = 0.09 + -0.18. Let z = 1.91 - a. What is the third biggest value in 9, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/27 and -46\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143020 - 4?\nAnswer: 1143011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 324 + 576 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*m - 3 - 7, 5*b + 19 = 3*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 3855.\nAnswer: 8866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 2*a + a + 2*a. Let b(k) = -10*k**2. Calculate p(b(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 425\/(-2)*17\/(-680) and 137\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*s + 6 = 0, 5*s + 10 = -0. Suppose -n*j + 20 + 8 = 0. What is j rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -1, 4, 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/40*-2*2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (140\/42)\/(((-2)\/12594)\/(-1)). Let a be (((-2)\/504)\/(-1))\/(5\/u). Let y = a - 171\/14. What is the common denominator of 107\/18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 55*z + 8. Calculate the remainder when o(3) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 12952*r\/5 - 46692.\nAnswer: (r - 18)*(r + 12970)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23297646?\nAnswer: 2, 3, 3882941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26256125?\nAnswer: 5, 7, 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 4*r + r - 1 - 10*r + 1 + (-1 + 3 - 3)*(3*r - 3*r + 4*r) - 5*r - 2*r + 6*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 v, and 1 m when four letters picked without replacement from zjviivmvvjiv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -47, 26036 in increasing order.\nAnswer: -47, -3, 26036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*m + 53. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13114797231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 321 + 317 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7261 + 16549. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243735*z + 2243747*z = 84 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmymmmmmmmmmmmmmmm. What is prob of sequence mymm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 42, 64, 94, 132, 178, 232?\n\"Answer: 4*a**2 + 2*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - m - 229 - 120, -4*w + 5*m = -689. Solve s**4 + 384*s + 32*s**3 - 9*s**4 + 10*s**4 + w*s**2 + 288 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154055?\nAnswer: 5, 11, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124371 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/7 - ((-3498)\/1144 - 1)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 6458*d**3 + 38775*d**2 - 58176*d.\nAnswer: -d*(d - 3)**2*(d + 6464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8*p + 1)*(3*p**2 + 89*p**4 + 3120 - 3120).\nAnswer: 712*p**5 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeenn. Give prob of sequence ne.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*81\/54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64330\/11 + -5793. Let n = f - 55. Let u = -0.4 + -0.1. Sort n, u, -3 in descending order.\nAnswer: n, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 9. Suppose -14 - 10 = 4*f. Let d be b(f). What is the third derivative of -d*z**2 + 2*z**3 + 2*z**3 - 6*z**3 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = u, -5*u - 4 = -j + 2*j. What is the nearest to -4 in -3, 2, j, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-13 - 1) + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*k + 651*k + 220 = 1362*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1056 - 611. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(567)*-1 - (3 + (sqrt(567) - 2*sqrt(567)))) + (((sqrt(567)*-2 + -2 - sqrt(567)) + sqrt(567) + (sqrt(567) - -2*sqrt(567)) + 0)*1)**2.\nAnswer: -36*sqrt(7) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(48)*1) + 0)**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4140 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90695415*h**3 + 6761*h**2 - 6761*h**2 - 90695426*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 3*q - 7. Let f be (6\/(-4))\/((-2)\/4). Let v(d) = 4*d**2 + 8*d + 21. Let n(a) = f*v(a) + 8*y(a). Find the first derivative of n(z) wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (-4*sqrt(84)\/sqrt(7) + sqrt(12)))\/sqrt(4))**2 + ((sqrt(36)\/(sqrt(48)\/sqrt(4)))**2 - (sqrt(12)\/sqrt(4) + -4)).\nAnswer: -sqrt(3) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.887 from 474.1.\nAnswer: 477.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdd when three letters picked without replacement from jdqjqqoqdoddd.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 - 2534*v + 4 - 6.\nAnswer: -2534*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - a + 16, a + 1 + 19 = -6*j. Sort j, -5, -3, 7.\nAnswer: -5, j, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 14, -354\/25, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/21390 and 71\/29946?\nAnswer: 149730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 g when three letters picked without replacement from nxgkggkkng?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = 5*l + 331. Is (20\/(-12))\/((-2)\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 9*s**2 + 10*s - 7. Let b be u(-10). Let v be ((-6)\/4)\/(b\/14). Does 2 divide (v\/4)\/(3\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75\/6*(-5 - (-148)\/20) and 95.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 758 and 686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1005 - -1200. Calculate the remainder when w is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.7, -2, -0.4513, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8535288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -39 + l**3 - 12*l**2 + 1\/4*l**4 + 0*l. What is the second derivative of g(a) wrt a?\nAnswer: 6*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09497 and -0.3.\nAnswer: -0.39497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 36*h - 1. Let y(u) = u - 470 + 470. Determine d(y(x)).\nAnswer: 36*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 3*s - 11. Let b be i(5). Calculate the remainder when (12\/(-15))\/(b\/5) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/195 - (-560)\/(-1248)) + 73\/2 + -3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 160546072 divided by -6980264\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16*d. Let y(q) = -104*q - 78. Let c(i) = 13*i + 10. Let f(x) = 39*c(x) + 5*y(x). Give f(a(p)).\nAnswer: 208*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + -221. Let i = c + 571. Is i a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 17*n - 19. Let q be k(-18). Which is the third smallest value? (a) -1\/3 (b) -0.3 (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -2. Suppose -5*j = 2*q, 2 = c*j + q - 3. Let m(i) = 2*i - 3. Let u be m(2). What is the highest common divisor of j and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (30\/8)\/(4*(-7)\/(-336)) and 35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/12*8)\/(5 - 4). Let m(f) = 9 + 4*f - f - f - f**2. Let h be m(s). Is -1\/105 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 3*s. Let g(u) = 3*u**2 - 4*u. Let x(w) = -3*g(w) - 4*y(w). Let k(l) = 5*l**2. Determine x(k(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k**2 - 25*k + 19. Suppose 129*l + 84 = 136*l. List the prime factors of o(l).\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -156, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12522 and -0.0646482568.\nAnswer: 12521.9353517432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-6) - (-6)\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 48330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.57 - 55.63. Let q = f - -69. What is q rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let z = 4.27 + -2.27. Let d = -101\/3 - -34. Which is the closest to d? (a) w (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/9)\/((-3)\/(-9)). Let u be ((-2)\/6)\/(2\/h). Let a(s) = -s**2 + 5*s - 4. Let j be a(3). Is u != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.467 and -23?\nAnswer: 10.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(30)*-1)\/(sqrt(250)*-1 - sqrt(10)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 10*s + 21. Let t be p(-8). Solve -2*y + t*r = -5*y - 15, 4*y = -r - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.14 (b) -0.5 (c) -2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17112?\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-38*f**4 + 16*f**5 + 38*f**4).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5325 or -2837794\/533?\nAnswer: -5325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*y - 2, 4*y + 6 + 5 = 5*h. Let w = 10 - h. Let x(b) = 3*b - 10. Let a be x(w). Solve 0*s + 14 = -4*s + 2*j, s - 3*j = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 4 = 10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561038156 by -7.\nAnswer: 80148308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -91 * 0.15531\nAnswer: -14.13321","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 3204 - 3052. Calculate the remainder when 481 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 - 9 = 0. Let p = l - -14. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let d(b) = -b + 5*b + 0*b. Let r(l) = l. Suppose 2*c + 3*c = -35. Let s(g) = c*r(g) + 2*d(g). Determine o(s(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c - 275 = 0. What is the highest common factor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*m + 72 + 3 = -304*m. Are 12\/865 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*z**4 + 2*z**3 + 200*z**2 - z - 503015 with respect to z.\nAnswer: -248*z**3 + 6*z**2 + 400*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 69523675*q - 69523670.\nAnswer: -5*(q + 1)*(q + 13904734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 + 3 = 0, -5*r + 20 = 3*t. Let j(o) = 3*o**2 - 6*o - 2. Calculate the remainder when j(t) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 114192 = -6*d - 0*o, -5*d + 2*o + 95149 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from iiippp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24432 and 171024.\nAnswer: 171024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5404 + 1?\nAnswer: -5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-9)*(l\/l**(-1\/3))\/l)\/(l**(2\/9)*l**15) assuming l is positive.\nAnswer: l**(-197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -7.2. Let t = -6.00000009 - j. What is t rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-5) - 4\/10. Let y be (-3)\/4*(-6 + s). Determine h, given that 0 + 3\/5*h**4 + 6\/5*h**y + 0*h + 3\/5*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 49, 64, 95, 148, 229?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2642026 (base 7) to base 2\nAnswer: 1010100100101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = -16. Let v(i) = -92*i - 786. Let h be v(-9). Suppose 5*u - 7*f = -s*f + 41, -3*u - 4*f + h = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 945 + -496. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = -45. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*t - 16, 4*t - 11617*m + 11621*m - 32 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**5 + 6*u - 3 + 0*u**3 + 1\/12*u**4 + 0*u**2 - 1\/30*u**6. Let c(p) be the first derivative of f(p). What is j in c(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = 2*h, 4*w - 6*h + 7*h - 10 = 0. Differentiate -53*f - 2*f**4 - 140 - 85*f**2 + 24*f + 85*f**w with respect to f.\nAnswer: -8*f**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 46 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {m: 2, n: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 < -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 - (5 + 24 + -9 + -9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 * 0.01\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 42*c - 2*c = -9*c - 2700 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-4 + -1 + -5) - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(80)*6)**2 + sqrt(80) + sqrt(80)*-1 + -4.\nAnswer: 25916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k - 32. Let w(m) = -7*m + k*m - 2*m. Let h(g) = g**2. What is h(w(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-26) + (-10455)\/28782.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1015219 by 12.\nAnswer: -1015219\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 3 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let r be (-5 - -5)*k\/(-1). Let t be -1 + 1 + 1 + 4. Solve r = -b + 1 - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - -3*sqrt(64)*-2)\/(sqrt(2) + -4*(sqrt(2) - sqrt(8)\/sqrt(4)))*5 + -1.\nAnswer: -100*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139182 times -0.1707?\nAnswer: 23758.3674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -2 - -25) + (-4 - -3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - u = -2 + 15, -5*h + 27 = 6*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956021 and 3146.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 44, 41, 38, 35?\n\"Answer: -3*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 0 - 2\/3*u**5 + 0*u**2 + 0*u - 16\/3*u**3 = 0. What is u?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 141, 140, 139, 138, 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3337 + -1660. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67201 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187172 divided by -252?\nAnswer: 4711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1121 + 5?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 3. Let k(y) = y - 4. Let m be 3 + (2 + -4 - 1). Suppose -3*g = -v - 0*v + 3, m = -2*g. Calculate v*b(c) - 2*k(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 736321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 2*(sqrt(20) + (-3*sqrt(20) - sqrt(20))))\/sqrt(4).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -15710798299753?\nAnswer: 15710798299750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 31*z + 884 = 17*z + 2564 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -236331005.4 to the nearest one hundred thousand.\nAnswer: -236300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 241682, 483378, 725076, 966776, 1208478?\n\"Answer: u**2 + 241693*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2096.\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r)**49*((r**5\/r)\/r)\/(r**(-3\/8)*r) assuming r is positive.\nAnswer: r**(449\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 8142 + 13951 + 7*f - 5*f + 13*f**2 - 6*f**2 as b + y*f + q*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -159*z - 7149. Calculate o(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13130 = -191*l - 438*l + 21246 + 53526 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 44*z = z + 78*z + 7812 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 543*(12\/(-9))\/(-2). Suppose -4*y - 2*g = 160 - 452, -g = 5*y - t. Which is smaller: 68 or y?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*k**2 + 857*b*z + 15219*b - 4205354*k**2*z wrt k.\nAnswer: -2*b*k - 8410708*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = o - t, 5*o - 40 = -3*t. Let q = -63 + 187\/3. Which is the third biggest value? (a) q (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 3*x + 2. Suppose 2*w - 18 = -3*w + 3*q, 2*w + q - 5 = 0. Suppose 7*f = w*f, 0 = 4*l + 3*f + 4. Let k be 2\/(-5)*-5*l. What is s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - 11. What is the common denominator of 730\/16*(0 + 5\/25) and (-10)\/b*51\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 - 19*f + 171. Let q be g(9). Let j(a) = 4*a**2 + 2*a - 1. Let d be j(-2). Solve 3*y + 1 = w + d, q = 2*y - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, and 1 d when three letters picked without replacement from dtjcr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g + 24. Let k(i) = 3*i**2 + 35*i + 21. Let m be k(g). What is the remainder when 5*m - (-3 + 8) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Let j be n(10). Let f = j - 7. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51354751*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {v: 6, z: 1, k: 3, b: 1, r: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*v - 1114 = 0, -3*x + 2*v = -848 + 10. Calculate the remainder when 596 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from pvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/11 - 12005*w\/11 + 14628800\/11.\nAnswer: -(w - 1115)*(w + 13120)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 7*f + 10*f - 401, 5*c - 5*f + 1985 = 0. Calculate the common denominator of (-4*(-6)\/(-600))\/((-4)\/c) and -53\/142.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21053.\nAnswer: 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/271, -7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9))**24\/(p*p*p*p*p**(-2\/25)*p\/(p\/(p**(2\/5)\/p))*p) assuming p is positive.\nAnswer: p**(76\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6866 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248622*z + 43 + 4*z**2 + 248599*z - 14.\nAnswer: 4*z**2 - 23*z + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.7721 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2285*i - 3633*i + 2801*i in the form m*i + z and give m.\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + (-3 - -2) - (-179 + 2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8968 divided by 472\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*s + 1998*s - 275 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 64225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let m be (-16)\/56 + 355\/(-7). Let r = 563\/11 + m. Which is the closest to r? (a) l (b) 3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -19 (b) 163 (c) -0.5 (d) -2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22106 from 4.\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 7*z**2 - 5*z + 7. Let n(m) = -3*m**2 - 2*m + 3. Suppose 487*v - 84 = 529*v. Give v*h(d) + 5*n(d).\nAnswer: -2*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -13. Let o be c*(2\/4 + 0). Suppose 0 = 4*p - d - 0*d + 4, -3*d = -p - o. What is the nearest to p in 1, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5112 + 5116. Put -0.2, 2\/5, 0.05, m in descending order.\nAnswer: m, 2\/5, 0.05, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n - 4*n - 12, -r + 4*n + 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - 2*sqrt(320)) + sqrt(20))\/(sqrt(1000) + sqrt(1000) + sqrt(1000)*2).\nAnswer: -3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 21*m**2 + 1. Let d be r(-1). What is the highest common factor of d and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 8*a**2 + 36*a - 18. Suppose -7*d + 10*d = 6. Suppose 5*v - 2*v - 224 = d*h, -2*h - 80 = -v. What is the remainder when v is divided by x(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*d - 2836 = -12095, -2*w + 3*d + 18474 = 0. What are the prime factors of w?\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*u - 897*u + 7777 = -3803 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (167*g - 334*g + 166*g - 7*g**2)*(6*g + 2*g + 2 - 9*g) to j*g**2 + u*g + l*g**3 + y and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*s**2 - 116*s + 123*s**2 + 163*s**2 - 2.\nAnswer: 574*s**2 - 116*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 103259832 divided by -209028\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.12, 4, 0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/3 + 3)\/(40\/(-144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85204062 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 1000, 0.18, 3, 6, 0.1.\nAnswer: -5, 0.1, 0.18, 0.5, 3, 6, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 220. Let r = m + 254. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.099 + -0.169. Let z = 162 - 161.5. Which is the fourth biggest value? (a) 1\/3 (b) w (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l - 1\/120*l**6 - 11\/24*l**4 + 0 - 3*l**2 - 7\/6*l**3 - 1\/10*l**5. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 1. Let q(v) = -16 + 4 + 2*v - v. Let u be q(8). Is 4 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x**3)*(1 + 1 - 1) + x**2 + 2*x**3 - x**2 + (2*x**2 - 2*x**2 - x**2)*(-1 + 2*x + 1) - x + x - 3*x**3 + 2 - 2 - 2*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -3*x**2\/2 - 2*x + 9. Let m(t) = -t - 1. What is b(z) - m(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - v**3 - 2*v + 0*v**3 + 2*v**3 - 1 - 2*v**3. Let b(f) = f - 11. Suppose 5*z - 24 = -4*n, 0*z = -3*z - 3*n + 12. Let j be b(z). What is u(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1714.\nAnswer: -1\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -22*g - 16. Let c = -28 + 36. Sort g, c, 2 in descending order.\nAnswer: c, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2904\/707 - 7298\/2121. Factor -2*h**2 + 0 - 4\/3*h - n*h**3.\nAnswer: -2*h*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**2 + 8485717*r - 47262417 with respect to r.\nAnswer: 6*r + 8485717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43316394 divided by 656309\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2187448 divided by 2\nAnswer: -1093724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(6\/(-3)*-1))\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28480 = -0*z - 40*z. Which is greater: z or -714?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (11 - 3) + -23 - (8 + -6 + -27).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 340925.8 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -7*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and 103\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 108*f + 47. Let g be l(2). Do g and 266 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18325.2294 microseconds to days.\nAnswer: 0.0000002120975625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*m - 74, 0 = -4*m - 1 + 21. What is the smallest common multiple of 2 and (-3)\/(-2)*j\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/730 and -59\/146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 3*r - 180. Suppose -5*g + r = 5*i, -g + 6*g - 40 = -4*i. Factor 0*v**2 - 1\/2*v**5 + 0 + 0*v + 0*v**g + 1\/2*v**3.\nAnswer: -v**3*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:52 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -842 + 14. Is 38 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 5*u + 4*u + (0*u + 2*u - u)*(4 - 1 - 2) + 0 + 0 - u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54980250631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5462, -5538, -5744, -6146, -6810, -7802?\n\"Answer: -11*a**3 + a**2 - 2*a - 5450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.04958917 rounded to 2 dps?\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1816.029 to the nearest ten.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 + 3*x + 2. Let y(s) = -5*s**2 + 2*s + 2. What is -3*q(o) + 4*y(o)?\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -1874 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*y + 66 - 242 = -86, 0 = -4*t + y + 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -160984*h + 207 + 160991*h - 415 + 208. Let v(w) = 2 - 2 + 2*w**2. Determine t(v(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzjzzjzzjjj. What is prob of sequence zj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1613727, -1613789, -1613853, -1613919, -1613987, -1614057, -1614129?\nAnswer: -1614203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**3 - 3*m**2 - 5*m + 6. Let q be u(2). Suppose -q*x + 52*x - 2188 = 0. Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2331399564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v + 3. Let d(u) = 8*u - 4. Let i(j) = 3*d(j) + 4*z(j). Let a(y) = y. What is a(i(t))?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 442.9181ms?\nAnswer: 442918.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, -1\/6, -2\/145 in decreasing order.\nAnswer: -2\/145, -1\/6, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 92*d - 333. Suppose 0 = -u + 20 + 2. Calculate the remainder when u is divided by m(-88).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5 + 93. Let r be (-1)\/5 - l\/20. Suppose -3*q = 5*h - 8 - 1, -2*h + q = -8. Solve 2*i - 5 = d + 1, 9 = -r*d + h*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-16 - -15) + -3 + -12 + 12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**2\/2 + 2*o + 2. Suppose 2*z = 2*l - 3*l + 2, 5*z = -5. Give s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 225983 + -126040. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 23*j - 8*j. Let d be (-6 + 2)\/j*-4. Suppose 5*g + 4*y = -0*y + 539, 5*g = d*y + 563. List the prime factors of g.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:54 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.018 (b) -0.2 (c) -1475.9 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 78 (b) -1\/4 (c) 1\/2 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194181315?\nAnswer: 3, 5, 1481, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.162 and -0.1.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -3. Calculate the highest common factor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/5 of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 1. Let n(c) = 5*c. Let o(b) = 6*a(b) + 4*n(b). What is the first derivative of o(i) wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 100*v**2 + 26*v - 88. What is the remainder when l(4) is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 9 = a, -h + 639*a = 644*a + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66695630506133*v + 2*v**3 + 66695630506133*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(4879 + 47*t - 112*t + 45*t + 27*t).\nAnswer: -14*t - 9758","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.2004?\nAnswer: 0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951258, -1902622, -2853984, -3805344, -4756702?\nAnswer: -5708058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1523173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3537 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119.3 - 113.3. What is the closest to -2\/5 in -2, 8, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t - 36. Let c(h) = 12*h - 27. Let p(i) = 4*c(i) - 3*m(i). Let d(s) = 100*s**2. Calculate p(d(n)).\nAnswer: 1200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**6\/5 + 9*f**5\/20 + f**4\/4 - 26*f. Suppose z(m) = 0. What is m?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 63. Let d be b(-4). Let g = d + 371. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 13*r - q - 709 = 0, 5*q = 4*r - 1409. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*a**3*f**2*w - 3*a**3*f**2 - 2*a**3 - 2*a*w - 46*a with respect to f.\nAnswer: -106*a**3*f*w - 6*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*d**2 + d**3 - d**3 - d**4 + 4*d**3 + 39*d**2 + 2*d in the form u*d**2 + r + p*d + c*d**4 + k*d**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k - 96*k**2 - 95*k**2 + 2*k**4 - 4*k**4 + 193*k**2 + k**3 - 3*k**3.\nAnswer: -2*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/12*2\/6. Which is greater: 5 or s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 235207, 235205, 235203, 235201, 235199?\n\"Answer: -2*l + 235209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 31*u - 76)*(4 + 1 - 4 + (6 + 0 - 5)*(0 + 1 + 1)).\nAnswer: 93*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 9225.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-645)\/(-20) + 2\/(-8). Suppose -n - 5*g = -v, -3*n + 2*g + 36 = -3*g. Suppose 2*w + 240 = 7*w. What is the remainder when w is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 11. Let q(d) = -1. Let g(r) = h(r) + 6*q(r). What is the derivative of g(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 41\/13 - (-87 + 90). Let n be -1 + 0 + (-1 - -2). Which is the second smallest value? (a) n (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*a - 50, -3*u = 5*a + 2*u - 115. Calculate the highest common factor of a and 198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-76)\/(-2) + -3 + 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 - 26*x**4 - 134*x**3 - 342*x**2 - 432*x - 216.\nAnswer: -2*(x + 2)**2*(x + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-231) - ((-186)\/(-22))\/(-3). Let d be 0 + 1 - 160\/(-140). Solve -d*f**2 - 12\/7 + 24\/7*f + 3\/7*f**s = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88 in 0, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, -3 in decreasing order.\nAnswer: 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(1900) + (sqrt(1900)*-4 - sqrt(1900))*6)**2.\nAnswer: -3480*sqrt(19) + 1597936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 68*c + 770. Let v be g(-11). Put 1, -3, v in descending order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-10)\/m)\/m)\/(m*m*m**(-2)\/m*m)*m*m**(-12)*m*((m\/((m*m**(1\/7))\/m)*m)\/m)\/m assuming m is positive.\nAnswer: m**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -894 + 895. Let n = 5164\/7 + -739. What is the second biggest value in -4, n, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7131715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/(-36) - -3) + 1\/3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988335250 divided by -299950.\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 + h**2. Let v be u(-1). Calculate the remainder when 1 + 4\/(v\/(-30)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = 5*l + 7, 5*l = 3*z - 79. Let d be 0 - (z\/8 - 1). Let b = -49\/20 - d. Find the common denominator of b and -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 17*o**2 - 5*o - 3. Let v be t(8). Let n be (-48)\/(-5)*(v\/9 - 2). Factor 8\/5*i**2 + 4\/5*i**3 - 28\/5*i + n.\nAnswer: 4*(i - 1)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*b = 496, -553 = 5*z - b + 269. Do -164 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15556, 62173, 139860, 248611, 388420, 559281, 761188, 994135?\nAnswer: 1258116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4752 (base 10) to base 16.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + -104. What is the smallest value in 3, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 144 = -2*g. Let s = 33 - 48. Calculate the least common multiple of (2 - 7\/(-28)) + s\/(-20) and g.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*l + 6*b, -3*l + 2*b + 140 = 132 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, o: 2, d: 7}. Give prob of sequence dd.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 + 20 - 22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 220.8793 and 35?\nAnswer: 185.8793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-23)\/((-138)\/(-24)))\/(-10). Let j = -0.4 - -5.4. What is the closest to z in 0.9, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 40. Let j = 36 - v. Factor y + 0 - 5\/4*y**3 + 3\/4*y**j - y**2.\nAnswer: y*(y - 2)*(y + 1)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 24. Give j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1935174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18.006. Let c = -0.002 + h. Let l = c - -0.996. Sort l, 4, -5, 5 in increasing order.\nAnswer: -5, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txgpm. What is prob of sequence gt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267568 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.438796 litres to millilitres.\nAnswer: 4438.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 7*y + 8. Let l be j(-8). Let o = l - 37. Let h be (-406)\/o + (-4)\/(-6). Solve -2*m = -k, 2*k + 4*m - h = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.000068 - 35. Round g to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -6\/5, -0.02, -9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 786892*x**2 - x**3 + 4*x**3 + 786854*x**2 to g + r*x + d*x**2 + a*x**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*3 + sqrt(18)\/sqrt(81).\nAnswer: 37*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + -5*(-1 + -2*sqrt(68) + -3*-3*sqrt(68)))**2 + -5).\nAnswer: -416495 + 1400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -200, 0, 4, -13 in increasing order.\nAnswer: -200, -13, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 43 + -4 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llyllllllllllllylyly. Give prob of sequence lyll.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1856515 rounded to four decimal places?\nAnswer: 0.1857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 + -5. Let f = 7 + -2. Suppose 1 = f*s + 6. Which is the nearest to s? (a) k (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and -23.3.\nAnswer: -47.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 124 = -12*r. Solve -2*f = -2*o, 2*o + r = 3*o + f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 28*w - 91. Let c be x(5). Solve 0 = -c*g + 44 - 164 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83558*n**5 + 2401271*n**2 wrt n?\nAnswer: -5013480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1)*1\/(-1). Let d be (-2)\/5*(11 - 16). What is the lowest common multiple of (-28)\/(-6) - d\/y and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h + 1 + (-1 - 2 + 5)*(0*h + 4*h - 5*h))*(15 - 13 - 47).\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*5\/100*10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:21 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - -1)*(9 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-412)\/(-309) - (-34)\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Let j be t(-6). Suppose 0*i = 5*i - 2*u - 499990, -5*i - j*u = -500025. Round i to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 at most -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 12*h + 7. Let q(x) be the third derivative of 5*x**4\/12 - 5*x**3 + 3*x**2 - 19. Let u be q(4). Calculate p(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -411*g*l**2*x**2 - 4*g*l**2 + 9603*g - 22571*l**2*x - 5033*x**2 with respect to g.\nAnswer: -411*l**2*x**2 - 4*l**2 + 9603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (-23)\/(-3). Let k be (-2)\/(-10) - (-11)\/(-5). Let f be 10 + -12 - o\/k. Is 0 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607720 to the power of 1\/2, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let t(r) = r**2 - 7. Let l(v) = 2*v + 4. Let m be l(5). Let b(c) = m*j(c) - 2*t(c). Let n(a) = -22*a**2. Calculate b(n(i)).\nAnswer: -968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 85584?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -4, -1299\/46?\nAnswer: -1299\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1 + 4)*-6)**2 + 1.\nAnswer: 360*sqrt(13) + 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 13049*v**2 - 7729339*v - 1171986315.\nAnswer: -(v + 307)**2*(v + 12435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a + a, 4*a - 1109 = -3*o. Let g = 131 + o. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 + 34*k - k**4 + 116 - 371 + 122 in the form g*k + l + m*k**4 + j*k**3 + i*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**4 + 5*f**3 - 5*f**2 - 5*f - 3. Let d(t) = 31*t**2 - 6*t**2 + 6*t**4 - 26*t**3 + 26*t + t**2 + 16. Let m(p) = -3*d(p) - 16*n(p). Factor m(z).\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from vvjvvvvvjvjvvvvvjvjv.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -t - 5, t - 5 = w - 2. Suppose w = -c + 2*c. Suppose 2*u - 12 = c*q, -1 = q + 2. Which is bigger: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440196, 440199, 440202, 440205, 440208?\nAnswer: 440211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010558 rounded to 6 dps?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1644, 3812, 6716, 10356, 14732, 19844, 25692?\nAnswer: 32276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(12\/16 - 1). Let w(i) = -5 + 3*i - 3*i**2 + 6 + 2*i**2. Let d be w(4). Is h at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 1 + -799 + 835\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 57*j - 125. Let y be n(-21). Sort 2, -1, -21, 3, y in ascending order.\nAnswer: -21, -1, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3819*h**2 - 3819*h**2 + h**3 + 1 - 14*h to u*h**3 + d*h**2 + v*h + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2. Let u(g) = 134141*g - g**2 - 134141*g. What is u(y(v))?\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 9*x**2 - 12*x + 4. Let s be q(-9). Suppose v - s = -3*v. Let h = -18 + v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*0.5489\nAnswer: 0.126247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 - 146616*z\/7 - 2687031432\/7 = 0. What is z?\nAnswer: -36654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {e: 3, d: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201.362 - 115.97. Let p = 15.722 - z. Let y = 70 + p. What is y rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -669*q - q**2 + 1344*q - 675*q + 2*q**2. Let u(h) = -113*h**2 - 16*h - 2. Give u(s(o)).\nAnswer: -113*o**4 - 16*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356828 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3*y**3 - 3*w**3*y - 3*w**2*y**3 - 2*w*y**3 + 15*y**3 - 2*y wrt w?\nAnswer: 6*w*y**3 - 18*w*y - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 797517.3l in millilitres?\nAnswer: 797517300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 34. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*r + 385 = 0, 635 = 4*q + q + 5*r. Let c = 149 - q. Solve u = -5*u - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8598, -8555, -8512, -8469, -8426, -8383?\nAnswer: -8340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6808, 13619, 20432, 27247, 34064, 40883, 47704?\n\"Answer: b**2 + 6808*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*w + 185*w - 21356 = -223*w - w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 330773.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x - 65*x = -3*l - 1, 6*x = 2*l - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 4, b: 3, o: 3}. Give prob of picking 1 o and 1 l.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let r = -0.5 + u. Let k = 0.5 + -1. Put 2\/17, k, r in decreasing order.\nAnswer: 2\/17, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 786, 11, -2\/21, 0.4, 1\/2?\nAnswer: 786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0092775 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22303, 44568, 66805, 89008, 111171, 133288, 155353, 177360?\nAnswer: 199303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1991 and 0.4.\nAnswer: 796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2\/7)\/v*v))\/v*v*v)\/(v*v**4))**3\/(((((v**2*v)\/v)\/v)\/v**(-1\/4))\/v**22) assuming v is positive.\nAnswer: v**(353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**5\/3 - f**3\/6 + f**2 - 7*f. Let g(z) = -z**2. Give g(h(k)).\nAnswer: -400*k**4 + 40*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 173 = -3*d + 4*t, 0 = d + 3*t - 60. Suppose -g + 2*v = -v - 30, -5*g + d = 3*v. Calculate the remainder when 74 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2, -3\/22, -346.1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 3*c**2 + 2. Let g be i(3). Suppose -g*o + 50 = 3*o. Let d(r) = -r - 5. Let b(m) = 1. What is o*b(f) + 2*d(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009866 rounded to 5 dps?\nAnswer: 0.00987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 3*q - 6. Let f be l(-5). Suppose -9 = -3*a, -2*p = 4*a - 336 - 176. Let g = 250 - p. Solve g = -6*w + f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2 - 7*t + 13. Let v(f) = 7*f**2 - 5*f + 11. Let n(w) = 4*b(w) - 5*v(w). Let m(s) = -2*s**2 - 2*s + 4. Let x be m(-3). Is n(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a. Let g(h) = -17494*h. What is g(c(x))?\nAnswer: -69976*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 1.67. What is the closest to -0.1 in -2, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/23417 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhh when four letters picked without replacement from {k: 3, h: 4, v: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 742303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2875 and 23000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - 4. Let o be g(-8). Let m(y) = 2 + 0 + 2 + 5*y + 1. Let z be m(3). What is the highest common factor of z and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 904, 919, 950, 1003, 1084, 1199, 1354?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1426933793\/126 + 11324788. Let f = q - -577\/7. What is the common denominator of -35\/2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/195 - p**5\/65 + p**4\/78 + 24*p. Factor h(a).\nAnswer: 2*a**2*(a - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, -2, 4, 1\/11, 43, 4\/3 in descending order.\nAnswer: 43, 4.9, 4, 4\/3, 1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 - (-10 - -6) - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/2060 + -31413\/4120. What is the common denominator of n and 113\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-6270)\/(-363))*-20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 + 3*m**2 - 10*m**6 + 13*m**6 wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4016293*q**4 - 37193319 wrt q?\nAnswer: -16065172*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*l**2 + 5796599*c**2 + 2*l**2 - 266924*l wrt l.\nAnswer: -6*c**2*l + 4*l - 266924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1058 and -157\/276.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a factor of 21265340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9793\/77 - (-4)\/(-22). Let s be (-2)\/(-4)*1616\/4. Let i = s - r. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/6 + 3*b**3\/2 + 3*b**2 - 34*b\/3 - 20.\nAnswer: -(b - 10)*(b - 3)*(b + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.4 + 12. Let z be 1\/5 + 8\/(-20). Let q be -10*((-3)\/4 + 1). What is the nearest to z in 0.1, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 6907481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 953 - 550. Let l = 399 - r. Put 1, -7, 4, l in decreasing order.\nAnswer: 4, 1, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**2 - 2458780*i + 75569988605.\nAnswer: 5*(2*i - 122939)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2480 divided by -248?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -178. Let n = i - 126. Let s = -20 - -19.5. What is the biggest value in -2, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1253, 4987, 11211, 19925, 31129, 44823, 61007?\nAnswer: 79681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -433\/5. Factor z*p + 1\/5*p**3 - 4\/5*p**2 + 0.\nAnswer: p*(p - 3)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -127, -192, -265?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 3, 5, 1, 28381 in decreasing order.\nAnswer: 28381, 5, 3, 3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16*(-2)\/(3\/3))\/((-188)\/(-2256))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -55*x - 247. Let v be h(-5). Suppose 6*q - 336 = 2*q. Suppose -q = -4*c + c. What is the highest common factor of c and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111031 is divided by 244?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -118 times -2.68\nAnswer: 316.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 155310.\nAnswer: 1087170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -156*a - 17085. What is t(-110)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -5*j**8\/672 - j**7\/28 + 11*j**6\/24 - 19*j**5\/12 + 45*j**4\/16 - 35*j**3\/12 + 21*j**2. Factor x(c).\nAnswer: -5*(c - 1)**4*(c + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68517517 - 68517517 + 9*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/12*24\/9. Suppose -z - k = 1. Suppose -4*x = -0*x - 3*y - 6, 5*y = 4*x - 2. Sort z, -4, x in descending order.\nAnswer: x, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871713 is divided by 3766?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5284118 or 5284126?\nAnswer: 5284118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 + 23*b**5 + 15*b + 9*b - 28*b**3 + 3*b**5 + 4*b**2 - 22*b**5 = 0. What is b?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, o: 7}. What is prob of picking 1 w and 1 o?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 516 (b) 1 (c) -1\/2 (d) 1\/6 (e) 328\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1031 + -30?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 8*l**2 - l. Let y be f(-8). Let b be 2\/y + (-19)\/(-4). Suppose 4*z - b*d = 30 - 0, 0 = 4*d - 8. Solve -z = a + 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (-5 + 3*((sqrt(1216) - (2 + sqrt(1216))) + -4 + 2))*1))**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 16, -g - 3*g = 4*n - 36. Suppose 2*y + n*r = -1, -5*r + 2*r = -y + 16. What is the greatest common divisor of y and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 24*h**3 - h. What is i(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/(-4)*44\/(-55). Let b(r) = -u + r + 17 + 9. Let z(h) = 6*h**2. Give z(b(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 965*o**4\/12 + 73*o**2 + 999*o. Differentiate j(g) with respect to g.\nAnswer: 1930*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 417159\/(-6858)*(-3)\/(-5). Let q = -2\/635 + v. Calculate the common denominator of q and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 - (-119)\/(-98)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 8*l**5 + 7*l**5 + (3*l**2 + 3*l**2 - 5*l**2)*(2*l**3 - 4*l**3 + 3*l**3).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r - 3. Are -5\/8 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**6\/150 + 7*q**5\/50 - 17*q**4\/15 + 13*q**3\/3 - 15*q**2\/2 - 143*q. Let o(n) = 0. What is n?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449458, 449488, 449532, 449596, 449686, 449808, 449968?\nAnswer: 450172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(21)\/sqrt(847) - -2*(sqrt(300) - (-5 + sqrt(300))).\nAnswer: -3*sqrt(3)\/11 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/59, -1.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 17, b: 3}. What is prob of picking 3 l and 1 b?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1607390*b + 1607390*b + 20*b**2.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.05, 1\/2, -4, 2, 23491?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let f(v) = -v**2 - 12*v + 1. Let x be f(-11). Let l be 1\/((x\/44)\/3). Let i(o) = -o + 11 - l. What is d(i(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -50\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -132. Let p be (-1 - 1)\/(45\/(-3)). Sort w, -1, p, 0.3 in decreasing order.\nAnswer: w, 0.3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.043 + -0.106. Round p to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 233972 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-4) - -2)*6. Let a be r*(-4)\/16*-4. Solve 11 = 4*h - 3*c, -4*h - 4*c + a = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 137 in descending order.\nAnswer: 137, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**14)**(-4\/5)*b**(14\/13)*b*b*b*b*b\/b**(-41))**12 assuming b is positive.\nAnswer: b**(27984\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210112 + -1110100?\nAnswer: -122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 22. Is 18 a factor of d*4\/16*53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/28 - 3*m**3\/7 + 27*m**2\/14 - 57*m. Factor a(f).\nAnswer: 3*(f - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2*t + 9*t to q + j*t and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 42 = -5*y + 1, 0 = -5*y - 2*q + 29. Solve 3*x - 7 = -3*d - 1, y*d + 5*x = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20603*c*z**5 - c*z**4 - 40*c*z + 17*c + 24*z wrt z.\nAnswer: 412060*c*z**3 - 12*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -115, -132, -129, -100, -39, 60, 203?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -210. Solve -3*b = r - i, b = -3*b + 5*r - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -76*c + 21603. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/(-992)*-280)\/((-49)\/84).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518376 = -13274*v - 254695 - 101945 - 133808 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -q + 2*w, 5*w = -2*q + 9. Suppose -q*f + 14 = -6. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13458 - 13568 + r + 501.\nAnswer: r - 26525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8627, 68442, 230665, 546500, 1067151, 1843822, 2927717?\n\"Answer: 8534*p**3 + 77*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443140 (base 6) to base 9.\nAnswer: -55666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**5\/20 - n**4\/3 - 2*n**3\/3 - n**2 - n. Let t be v(-2). What is the units digit of 7\/3 + t\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -44*h**2 + 2*h - 4 + 0*h**3 + 50*h**2 + h**3. Let y = -1 - 5. What is n(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77028 is divided by 5129?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-658)\/(-22) - 30)\/((-1)\/48)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by -35\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (54\/(-21))\/(-1). Suppose -4*h + 4*p + 9 = -15, 3*h - p = 8. Which is the nearest to -1? (a) h (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.3. Let l = 191.5 + -159. Let p = l - 33. Sort -4, q, p.\nAnswer: -4, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpk when three letters picked without replacement from pkppllnp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/4 - 110943*d\/4 + 942871\/2 = 0?\nAnswer: 17, 110926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11000110?\nAnswer: -11000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o + 0*o)*(1 - 46569*o + 23189*o + 23282*o).\nAnswer: -196*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 13 + (-1 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + y)*(0 - 6 + 4) + 391 - 193 + 138*y - 198.\nAnswer: 136*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 1150?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 15 = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let p be 3\/2*(-8)\/(-12). Suppose 0 = -3*c - 3*c - 6. Let w(h) = 1. Give c*w(l) + p*t(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 72, 56, 24, -30, -112, -228?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*d + 19*d**3 + 28*d**4 + 0 + 5*d**2 - 6*d**3 - 30*d**4 to the form l + w*d**2 + v*d**3 + u*d + a*d**4 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/30*(-1)\/6. Is -7 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1439\/7 - 206. Which is the closest to 0.2? (a) u (b) 0.1 (c) -2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 7*i**2 + 6*i - 3. Let q be c(6). Let d = q - -6. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 282. Sort 4, -4, l, 0 in descending order.\nAnswer: 4, 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 88*o + 19944672.\nAnswer: -4*(o - 2244)*(o + 2222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50256 divided by 8376?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157851514 rounded to seven decimal places?\nAnswer: 0.0001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -2.3. Which is the fourth smallest value? (a) l (b) 2 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1067\/44 - 1\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1883.726 + -1970.1. Let g = 89.3 + w. Let f = g + -2.9. Round f to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803358 a multiple of 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 19 = 5*o, -4*o - o - 29 = 2*i. List the prime factors of -69*(-2)\/6 - i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1369707729 to three decimal places.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 23*y - 1. Let l be (-5)\/(-2 - 18) + 2955\/(-12). Let w = -245 - l. Calculate b(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 55. Let k = 37 + n. Let r = k - -9. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33 - 13*i**2 + 33 + 8*i**4 wrt i.\nAnswer: 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/25 + -1)\/(12\/(-90))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 46 = 2*k - 45, -k = -2*r + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -11\/6.\nAnswer: -3, -11\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 68, 657, 3 in decreasing order.\nAnswer: 657, 68, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibsibiyittsbbu. Give prob of picking 2 t and 2 s.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 674c - -1?\nAnswer: 674d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25032.\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -10*i + 7*i + 383, 0 = -3*i - u + 379. Let y = -130 + i. Is (y - -1)*(-115)\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21062071 to four decimal places.\nAnswer: 0.2106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 123 = -3*g - 94, -6 = 4*k - 2*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l - 12. Let c be y(-9). Let w be 4\/2 - (c - 6). Let t be (-5)\/w*(4 - 2). Sort -0.4, -4, t in decreasing order.\nAnswer: -0.4, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z + 22. Let c be q(-22). Suppose 4*h = 3*w - c, -4*h = 4*w - 59 + 147. Is 16 a factor of (-9)\/3*h\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*m = -249*m + 55. Let p = m - 6. Let y be ((-22)\/(-4)*4)\/2. Solve 0 = -p*t - 4 - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/22 and -79\/18549260.\nAnswer: 204041860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -44, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 3*w - 1211. Let y(a) = -a + a - w*a**2 - 4 + 315*a**2 + 3*a**3. Calculate the remainder when 118 is divided by y(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1708 and -7944559.\nAnswer: -7946267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 2*q - 2*q)*(4 - 76*q - 52*q + 149*q).\nAnswer: 42*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 13*v + 18. Calculate l(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34561000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - ((-14 - -11) + -9)) + -20.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezoeeoojzroeoj. Give prob of picking 1 j and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002035229745 rounded to 5 dps?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56*(8 - 26\/7). Calculate the greatest common factor of 90 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756168 is divided by 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 14 + (2 - 15) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 105. Let a be o(18). What is the highest common factor of 147 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 888 - 531. Suppose 4*c - 135 = o. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*m + 3*m. Suppose 0 = 5*z + 4*u - 72, 4*z - m = z - 3*u. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504874 (base 10) in base 6?\nAnswer: 14453214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(75) - (1 + (sqrt(3) - (0 + sqrt(3)))**2)) + (4*sqrt(36)\/(sqrt(588) + sqrt(12)))**2).\nAnswer: -10*sqrt(3) - 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*i**3 + 110*i**3 + 103*i**3 - i**4 + 2433*i**2 - 607*i**3 wrt i.\nAnswer: -24*i - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.59942 (b) -3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 47, 202, 517, 1046?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4548576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 5*r - 1. Let x be y(3). Suppose -16 - 24 = x*p. What is the least common multiple of 3 and (-9)\/(-9) - (p - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 5688.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2\/3. Let f = -4.3 + 5.3. What is the closest to 1\/4 in u, f, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4938\/18 - 9)\/(3\/9). Round t to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*k - 4320 + 1008 = -97*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 10*t = 11*t - 378. Solve -15*o - 168 = t*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((2\/(-2))\/(-1)). Suppose -f - 3*f + 12 = 0. Solve 0 = f*x - 0*n + 5*n - y, n - 6 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078878 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + 30\/75. Solve 2*x + 0*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7636?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225\/3 + (-20)\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence boob when four letters picked without replacement from bboffobbffobf.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((4*sqrt(72) - sqrt(72))\/sqrt(3) + sqrt(24))\/(sqrt(56)\/(-1*sqrt(7))).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 5092?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 46*a - 48. Let s be z(14). Is 19 a factor of (s - 282\/(-30))\/((-2)\/(-50))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -153, -47, 66 in decreasing order.\nAnswer: 66, 7, -47, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -4 + (-4 - -11) - 3*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l**5 - 85*l**3 + 51*l**3 - 6290*l**2 + 1347*l**2 + 43*l**3 wrt l.\nAnswer: -360*l**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1034*r**6 - 2*r**5 - r**3 + 4541*r**2?\nAnswer: -124080*r**3 - 120*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 516, 647, 762, 855, 920, 951, 942?\n\"Answer: -p**3 - 2*p**2 + 144*p + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(70)*1 - sqrt(70))*-1)\/(sqrt(60)\/(sqrt(726)*5)).\nAnswer: 275*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 5*z**4\/24 - z**2 + 55. Let y(m) = m**2. Calculate b(y(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -34. Let y = 4 + x. Let g = 45.000076 - y. Round g to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 + 0*m**2)*(-2 + 2 - 2*m) + (m - 3 + 3)*(-4*m**2 + 6 - 11 + 4) + (-11 + 11 - 2*m**2)*(-6 + m + 6).\nAnswer: -8*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 10*o - 5. Let x be a(-4). Calculate the highest common divisor of x and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-189) - (-2016)\/(-162)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 4*n**3 + 4*n**3 + 3*n**3 + 4 - 4 + (-n + n - 2*n**3)*(-1 + 3 - 1) in the form p*n + g*n**3 + j*n**2 + l and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016034.\nAnswer: 2, 3, 169339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2521 (base 10) to base 4\nAnswer: 213121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.53 times -0.17\nAnswer: 0.2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 2, 1, 0.1 in descending order.\nAnswer: 2, 1, 0.1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 1. Let q(k) = -2776*k. Calculate t(q(d)).\nAnswer: -15412352*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-9) + (-5856)\/(-18) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - b + 4)*(1 + 2 - 4)*(3 + 0 - 5) + 3*b + 0*b - 4*b + 57*b - 24*b - 26*b + b - b + b + (2*b + 0*b - b)*(4 + 2 - 5))*(-24*b + 2*b - 4*b).\nAnswer: -156*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*k - 35, -4*y + 5 = -7*y + 4*k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 14. Let u = 10 + 1. Calculate the highest common divisor of u and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1091 = -t - t, -3*t - 1632 = 3*r. Let h = t - -1672\/3. Let n = 10 - h. Which is the second biggest value? (a) 0.04 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*h - 2*h - 68, 0 = -4*h + 5*u - 92. Let p be ((-75)\/40 - -2)\/(3\/h). What is the third biggest value in p, -5, -0.13, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2*p - 1. Let o(d) = 3*d**2 + 2*d - 3. What is -4*l(x) + o(x)?\nAnswer: 7*x**2 - 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let x(o) = 5 - 6*o + 12*o - 6*o + o. What is -4*u(p) - x(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9769 divided by -27102.\nAnswer: -9769\/27102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Suppose -31 = -2*v + y, -7*v + 77 = -2*v - m*y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (51 - 20) - -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343202473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 35a20?\nAnswer: 35a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*m = -38 + 124, 0 = -3*c + m - 129. Let l = c - -163. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*j + 69 - 105 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 59. Let p(b) = -3*b + 362. Let v(q) = -p(q) + 6*u(q). Let y(m) = -6*m - 15. Give -5*v(a) + 2*y(a).\nAnswer: 3*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -781 + 781 - 8*w as q + v*w and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354058.7147 minus 8?\nAnswer: 354050.7147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 4 + 4 + (0 - 2*w + 0)*(2*w**2 - w**2 - 2*w**2) + 2 - 2 + 2*w**3 + 2*w**2 - w**3 - 2*w**2)*(w - 3 + 3)*(24 - 24 - 4*w).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2676721848?\nAnswer: 2, 3, 4177, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 574*b**3 + 5*b + 4. Let i be q(-1). Let t = 1438 + i. Does 74 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45723207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -a + 2, a = -5*y + 19. What is the remainder when 38 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 - 2 = 0. Let m = y - -2. Solve -m*x - 3 = -23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*r**2 - r**3 + 17*r**2 - 53*r**2)*(5*r - 4*r - 4*r) - 1 - 1 - r**2 + 7*r**2 + 2*r**4.\nAnswer: 5*r**4 + 240*r**3 + 6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 6*f + 4. Let q = -191 + 188. Determine a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 738609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574854 + 10*g**3 + 1574854.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a - 2688 = -a + 71*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-2 + 2 - 2*b) - b - 2*b + 6*b)*(-1 + 2 + 2 + (-1 + 0 + 0)*(-1 - 1 + 3)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 4. Determine d(-33).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose g = -4*z - 3, -3 = -3*z + o*z - g. Let k be -2 - -2*(-5)\/z. Put -2, k, -5 in increasing order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 9 + 9 - 66 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 381521.2.\nAnswer: 3052169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126638, 253283, 379928?\nAnswer: 506573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 25, 30, 29, 22, 9, -10?\n\"Answer: -3*t**2 + 20*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -13.44137\nAnswer: -147.85507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15. Suppose -2*f - 19 - 9 = z. Let k be (-54)\/(-7) + (-4)\/f. Is 8 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 4*w + 5*q = -10903, -3*q = 5*w - 18217. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 - 15*i - 21*i**3 - 31*i**3 - 2*i**2.\nAnswer: -46*i**3 - 2*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 26. Let l be (-2160)\/714 + g + 2\/14. Which is the nearest to 0.1? (a) 1\/8 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1. Let t(n) = -n - 6. Let u(d) = t(d) + 6*x(d). Let q(l) = -l**3 + 3*l + 1. Let b be 33\/7 - (-2)\/7. Calculate b*u(p) + 2*q(p).\nAnswer: -2*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 4*q + (-1 + 1 + 1)*(2*q - 3*q + 0*q) - 8*q + 2*q + 3*q - 1 + 1 + 2*q)*((1 + 0 + 0)*(q**2 - 4 + 4) - 2*q**2 + 0*q + 0*q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/6 - -3 - (-5)\/3. Let r = -709 - -1154. Differentiate -5*s**4 + r*s**3 - q - 445*s**3 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256699407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 3, q: 2, f: 1, p: 3, j: 1, a: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13*j = -71392. Suppose 6*a - j = -2990. Is (-7)\/((-7)\/(-2)) + a + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 2*p - 5. Determine k(-8).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/5*t + 18\/5 + 64\/5*t**2.\nAnswer: 2*(4*t - 1)*(8*t - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 4*a**3 - a**3)*(0 + 2*a**2 + 0) + 33*a**2 - 33*a**2 - a**5 - 4 + 4 - 5*a**5 + (5*a**4 - 3*a**4 + 0*a**4)*(2*a + 3*a - 3*a).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3\/3 - 3*w**2\/2 - 3*w - 5. Let u be m(-3). Let y be 8\/(-10) + 54\/105. Which is the closest to y? (a) 0.5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 4*u**3 + 7*u + 0 - 9*u - 1. Let b be r(-2). Let i = b - 22. Solve -f + 1 = -0*j + 4*j, 24 = i*f + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccceeecec. What is prob of sequence cccc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 638 and 12.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5751 - -5596. Is 2\/15 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 95*r**2 - 3*r - 69. What is the tens digit of m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 1 - 1)*(1 - 1 + 1) - 18*o + 0*o - 2*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36323 and 88213.\nAnswer: 617491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -156, -326, -542, -792, -1064, -1346?\n\"Answer: 2*j**3 - 41*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -116. Let u be 1265\/40 + o\/(-32). Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/3 - 5*r**2\/2 + 3*r + 1. Let v = -62 + 67. List the prime factors of u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021987699 rounded to four dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(3 + 16\/(-6)). Let x = 704 + -702. Sort x, f, -4, 0 in decreasing order.\nAnswer: x, f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 0.0273582.\nAnswer: 7.0273582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7757?\nAnswer: 5\/7757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 1068 - 4512 = 0. List the prime factors of n.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z - 2. Give m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 110*r. Let p(n) = -2*n**2 + n. Let k(g) = 6*g**2 - 2*g. Let u(t) = -2*k(t) - 4*p(t). Determine c(u(z)).\nAnswer: -440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1215*c**2*t**4 - 2*c**2*t**2 + c**2*t + 710631*c*t - 10839*t**4 - 1 wrt t?\nAnswer: 29160*c**2*t - 260136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11622095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3669\/45683 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(3*(-3 + (6*(sqrt(704) + 1) - (sqrt(704) + (-1 + sqrt(704) - sqrt(704)) + 0))))**2*3.\nAnswer: 51840*sqrt(11) + 2853794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 18\/(-28)*10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 19 = -1. Let c(w) = 3*w**2 - w + 1. Let k(z) = -9*z**2 + 4*z - 7*z**2 + 12*z**2 - 2 - 2*z. What is q*k(l) + 3*c(l)?\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-11\/5)*y))\/((y*(y\/y**(1\/7))\/y)\/y))\/(y**27\/(y*y**(-1\/2)*y)) assuming y is positive.\nAnswer: y**(-1621\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-15))\/((-17)\/(-51)). Let q = -12 - -3. What are the prime factors of ((-2)\/w)\/(-3) - 87\/q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(-2*(sqrt(500) + 2*sqrt(500) + -4) + 0 + (-1 + sqrt(500) - sqrt(500))*3))**2.\nAnswer: -60000*sqrt(5) + 1802500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -27*l**7\/7 - 39*l**6\/5 - 4*l**5 - 2*l**4\/3 - 6*l. Find o such that d(o) = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 275 in -5, -0.094, -4?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 4*p - 2*p)*(4 - 1 - 4) + 2*p - 2*p - p)*(-2 + 4 + 1).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 25*l**4\/2 + 51*l**3 - 11*l**2\/2 - 74*l + 18 = 0. What is l?\nAnswer: -2, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23570, -47194, -70818, -94442?\n\"Answer: -23624*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9084 times 49\nAnswer: 445116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2160, -3975, -5450, -6585?\nAnswer: -7380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -924, -1386, -1850, -2316?\nAnswer: -2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14)*(-14)\/21)\/((-346)\/(-31486))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252030, -252032, -252034, -252036, -252038?\nAnswer: -252040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/16 - 3381\/(-56). Calculate the greatest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.598318 micrometers?\nAnswer: 0.000000008598318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*b - 243, 293 = -4*b - 239*m + 244*m. Is -803\/12 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26339 + 0.73661. Let s = 0.55 + -0.5. What is the nearest to -1 in 0.1, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 3024, -0.06, -0.4, 1 in ascending order.\nAnswer: -4, -0.4, -0.06, 1, 3, 3024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = -696*v + 698*v, 0 = 5*s - 4*v + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2314688 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/3 - 284910*c**3 + 30440282992*c**2 - 91319994248*c\/3 = 0.\nAnswer: 0, 1, 213682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 89*g + 556. Give m(-16).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 0 + 8 + -62 + 54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 36 = 4*h, -3*g + 0*h - 3*h = -27. Suppose 1 = -c + 4, m + 5*c = 20. Suppose -3*n = -m*n + 10. Solve -g - 1 = n*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 20*n - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90\/17 - 1024\/187. Let s = 8 - 17. Let p be (8\/(-6))\/((-3)\/s). Put m, 5, p in increasing order.\nAnswer: p, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.17074 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3)\/((y*y**(-3\/8))\/y*y))**(-25) assuming y is positive.\nAnswer: y**(1375\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 1400. Let t(c) = -193*c. Calculate t(r(l)).\nAnswer: 386*l + 270200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5624 + 3148795.6.\nAnswer: 3148795.0376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-15)\/20)\/(30\/(-8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -543793 by 2.\nAnswer: -543793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 11*t - 3. Suppose 2*p = -3*p - 40. Let a be z(p). Let u = 33 - a. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 5*r + 2*r + 2 + 2*r - 2 + (-2 + 1 + 0)*(-1 + 1 - r) + r - 2*r - r - 4 + 4 + r)*(r**4 + 4*r**4 - 3*r**4).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -370 + 370. Let y(u) be the third derivative of -u**2 + 0*u**3 + 0*u**4 + 1\/60*u**5 + b*u + 0. Let l(k) = 2*k. What is l(y(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*1 + sqrt(132))\/((sqrt(96)*1)\/sqrt(8)))**2 + 1 + -2*5*sqrt(176).\nAnswer: -40*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 13*s + 16. Let p be v(-12). Factor -79 + 52*a**4 + p*a**2 + 79 - 24*a**5 - 32*a**3.\nAnswer: -4*a**2*(a - 1)**2*(6*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 - 3282*f**2\/11 + 1370718*f\/11 - 19829070\/11.\nAnswer: 2*(f - 813)**2*(f - 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 17*b**2 + 17*b - 17. Let t(m) = m - 1. Calculate q(o) - 17*t(o).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = b. Suppose -22 + 8 = 4*w - b*l, -3*l + 5 = 2*w. What is the smallest value in 2\/5, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18*r - 203. Give x(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*y + 3, 4*y - 2 = a + 1. Solve y = 5*u - 4 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 9)*(b**3 - 4*b + 4*b) + (4 + 2*b**2 - 4)*(0*b + 2*b - b).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 5)*(-6)\/(-15). Suppose p*x + 38 = -42. Let y = 42 + x. Solve 3 = y*v + v + d, 0 = 4*v + 4*d - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 61*v**2 + 118*v + 1. Let z be c(-59). What is the nearest to -23 in 0.1, 0, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4686265128 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/12))**(-1\/19))**16)**(-44) assuming u is positive.\nAnswer: u**(176\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2. Let h(f) be the third derivative of -1\/60*f**5 - 2*f**2 + 0*f**4 + 0*f + 0 + 0*f**3. What is h(d(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -5. Let o be (-3)\/m + (-5)\/28. Which is the second smallest value? (a) o (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 3*j - 9, 2*z - 5*j - 35 = 0. Suppose -l - l = -20. Calculate the greatest common factor of z and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a - 2*a - 4*a. Suppose -3*j - 3*s = -30, 4*s - 9 + 23 = 5*j. Let x(v) = -12*v. Let b(f) = -f. Let n(o) = j*x(o) - 68*b(o). What is n(w(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 51285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 2*i. Let a(p) = -7753*p**3 - 2*p**2 - 145*p. Let d(r) = -a(r) + 6*b(r). What is the third derivative of d(m) wrt m?\nAnswer: 46554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 2*a**2 + 4*a + 1. Let i be v(-2). Suppose 457 = i*j - 83. Calculate the highest common divisor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 22*a**2 - 5*a - 58. Give o(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 10*c - 44. Let l be m(-10). Suppose 0 = -l*d + 157*d - 4. Solve -8 = 2*w + 2*g, -5*g - 8 - 8 = d*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-36)\/2)*(-24)\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2541.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -1\/13, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-27)*p\/(p**(-3\/20)\/p))**(-5\/2) assuming p is positive.\nAnswer: p**(497\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -2550927?\nAnswer: -2550928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7726*p**2 - 6382 wrt p.\nAnswer: -15452*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*h**6 - 267111*h**4 - 13*h**2 + h - 685?\nAnswer: 2160*h**3 - 6410664*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 39*c**3 + 6*c**2 + 6*c + 6. Let q(i) = 18*i + 10*i + 1 + i**2 + 4*i + i**3 - 31*i. Determine -b(g) + 6*q(g).\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*a - 6, -p = -4*p + 4*a + 22. What is the nearest to p in -0.4, -1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2650 = 16*n - 374. Suppose -2*v + y + n = 0, 136 = 4*v + 3*y - 237. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614014 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299995367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845980 divided by 5.\nAnswer: -169196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/((-15)\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -19*(2\/10 + (-1267)\/35). Suppose 7*i = o + 1514. Is i a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37023 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011114, -4043414, -9097248, -16172616, -25269518, -36387954, -49527924?\nAnswer: -64689428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 916*g + 166011. Calculate f(-1071).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17*x = 1007. Find the second derivative of l - 9*l - 57 - 5*l + x + 128*l**3 wrt l.\nAnswer: 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 1933, 6546, 15531, 30346, 52449, 83298, 124351?\n\"Answer: 243*c**3 - c**2 + c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h - h**2)*(h**3 - 2*h**3 + 0*h**3) - 2*h**4 + 19*h**5 + 4*h**4 - 79*h**5.\nAnswer: -59*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 0 + -71 + (-13070 - -13080).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 40 = -2*h, 96*h = 4*s + 92*h + 44 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 30. Suppose -3*v = -q - 260. Suppose l = -3*i + v, -2*l - 5*i = -0*l - 207. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4377864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46 and -213913?\nAnswer: 213867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/12 - 5*k**4\/8 + 9*k**2. Let t(v) = 0. Calculate v.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180)\/sqrt(4))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*i + 29, 27*m + 49 - 38 = 4*i - 170 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 minutes before 7:13 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.1. Let q = p + -0.3. Let x be ((-1)\/4)\/((-54)\/(-48)). What is the biggest value in q, x, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*w - 11*w. Let f = w + 5. Let r = -5 + -3. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 10. Let q be y(-8). Let w = q + 33. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -168 and -798?\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdsvvyh. Give prob of sequence dv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 9*v**2 + 8*v + 5. Determine u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 21 + 5 + 25*m**2 - 16.\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t + 1. Let n(j) = -124*j**2 + 5*j + 252. Let i be (-58)\/11 + (-150)\/(-550). Let k(v) = i*p(v) - n(v). Differentiate k(z) with respect to z.\nAnswer: 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2874 divide 36942396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222100110 - 110112?\nAnswer: 1221212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 11, 40, 103, 212, 379, 616?\n\"Answer: 2*m**3 - m**2 - 4*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/7)*v\/v**(-3)*(v**(1\/4))**(-30) assuming v is positive.\nAnswer: v**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.9402 * -368\nAnswer: -1081.9936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5)\/(a\/(a**2\/a))*(a**(1\/5)\/a)\/a**5 assuming a is positive.\nAnswer: a**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 68*j = -14*j + 980. Solve -l = 3*o + j, -2*o + 3*l = 2*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3272910672 + -3272907524.5000055. Let w = z - 3147.28. Let v = w - 0.22. What is v rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154119 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 - 8)*(6*r - 3*r - r + 8*r + 4*r + 9*r + (1 + r - 1)*(-5 + 4 + 3)).\nAnswer: -475*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -3 (c) 26 (d) -4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -100, -0.08, 2\/5, 3.48?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120335 - 120331. Let c(h) = 15*h**2 + h. Let k be c(1). Let d(w) = w**2 + w - 2. Let v be d(-2). Solve v*p + b*p = -k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 15. Let w be ((-3)\/(-6))\/(2\/20). Suppose a = w*d - 0*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1661990719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -715. What are the prime factors of o?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 1. Let i be d(0). Let t be (3 - -1)\/1 + -3. What is the smallest common multiple of t\/(((-3)\/(-33))\/i) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -434?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -773, -0.4, 1037, 0.264?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -76*i**2 + 20*i. Let p(z) = 3*z + 3 + 23 - 11*z**2 + 8 - 34. Determine 6*a(b) - 40*p(b).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 - -3.551.\nAnswer: -105.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, w: 1, c: 3, n: 9}. What is prob of picking 3 m and 1 n?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:52 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2 - 1734366*f - 2601558 = 0.\nAnswer: -3\/2, 433593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 3600 = 2*z + 11*x, -2*x = -3*z + 5399. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - 5*o**2 + 2526*o**3 - 2 + 2507*o**3 + 2618*o**3 - 7313*o**3 + o to d*o**3 + s*o**2 + m + n*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 - 10*c - 6. Let r be p(-5). Suppose -2*l - 4*n = 0, -5*l + 2*l + 5*n = -r. Solve -l = -4*o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/5 - 1352*r + 1142440 = 0. Calculate r.\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -176 - 5\/(3*(-3)\/9). Let r be (8\/(-18))\/(19\/f). Solve 4*s + 17 = -2*y - 7, r*s + 16 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2*w + 4. Let c = 1 + -33. Let g = c - -45. Let z = g - 10. Give f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 10 + 8. Let q = 9 - c. Is (q + -16)*(-6)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2034 - 10221\/5. Let v = 494 + -3140. Let b = v + 7870\/3. Calculate the common denominator of b and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25537992?\nAnswer: 2, 3, 37, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + 6 + (-8 + 6 - -6 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 6*m + 1. Let r(t) = t**2 + 6*t - 2. Suppose -h - f - 18 = 3*f, f - 21 = 4*h. Let i(u) = h*r(u) - 5*v(u). Give i(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 3 - 3 - m - m + 0*m + (-2*m + 0*m + m)*(1 + 0 - 4) + 163 - 8*m - 163 + m + 0*m + m in the form b + o*m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/12 + -1*(-20476)\/24.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 96?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-10) + (-10)\/(-6)*3. Let a(o) be the second derivative of -u*o - 1\/20*o**4 - 3\/100*o**5 - 1\/30*o**3 + 0*o**2 - 1\/150*o**6 + 0. Factor a(y).\nAnswer: -y*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22718\/9 - 2524. Factor -4\/3*g + 10\/9 + i*g**2.\nAnswer: 2*(g - 5)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (67\/(-2))\/((-1)\/2). Suppose 4*q + a - i = 0, -5*q = -3*q + 5*a - 11. Suppose 5*s - q = 42. Calculate the least common multiple of 18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -412*r + 1464*r + 317*r to a + d*r and give d.\nAnswer: 1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8837171153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2042\/1085 + 10\/651. Calculate the common denominator of 30\/(-240)*-41*1 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlm when three letters picked without replacement from gorrggrrllgmggl?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.85942 years in decades?\nAnswer: 5.685942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - a - 64 = 0, -5*n + 3*a = 2*a - 81. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 18*i + 34. Calculate t(-12).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 18. What is the remainder when 44 is divided by (12 + -13)*b\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 28*r - 19. Let o be 345\/18 + 3\/(-18). Let i = o - -3. Is q(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 27*g + 58. Let o = 231 + -226. Let a(r) = -7*r**2 + 27*r + 59. Let u(m) = o*i(m) - 4*a(m). Solve u(x) = 0 for x.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -609142\nAnswer: 1218284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12181 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-5717.\nAnswer: -154359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27680.49153 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -1 + 15 + (-1330)\/(-114) + -22.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284 or -285?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1441 (b) -2 (c) -0.082 (d) 11 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 + d. Let w be q(-1). Let u be (-20)\/w - (-2)\/(-6). Find the third derivative of f**2 - 2*f**2 + f**u - f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*y - 225*y - 384*y - 953*y + (2*y + 0 + 0)*(2 + 4 - 5).\nAnswer: -1489*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 >= 46083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 4*l**2 - 6*l)*(5*l**2 - 3*l**2 + 0*l**2) + (4*l**4 - l**4 - l**4)*(1 - 2 + 2)*(11 + 9 + 9).\nAnswer: 66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - 1.7. What is the second biggest value in -2, z, -0.3, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-2727)\/(-7) + (-6)\/(-56)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154615?\nAnswer: 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 75*t**2 + 23*t - 447. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -239293*t - 1435762. What is z(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 117*n + 10 = 114*n, 2*n = -2*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 26. Suppose -3*z = l - 154, -v*z + 3*l + 149 = 5*l. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -17*a**3 - 6*a**2 + 13*a - 13. Let m(y) = 8*y**3 + 3*y**2 - 6*y + 6. Give 6*b(i) + 13*m(i).\nAnswer: 2*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 152.6 (c) 3\/8 (d) 1\/3 (e) -7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 606 = 662 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -14*b**5\/5 - 178*b**4\/5 - 438*b**3\/5 + 826*b**2\/5 - 196*b\/5 = 0.\nAnswer: -7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*n + 4*w, w - 3*w = -n. Let v = n + 13. Suppose 0 = -0*b + v*b. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*r**2 + 6*r**6 + 0*r**2 + 4*r**6 wrt r?\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 3. Let y = 14513.2 - 14514.4. Which is the second smallest value? (a) 0.5 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 14. Let m(l) = -3797*l**2 - 3*l. Determine n(m(d)).\nAnswer: -11391*d**2 - 9*d + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 619\/4 - 156. Let i = -277\/411 - -1\/137. Which is the closest to i? (a) 4 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.904574 centuries in millennia?\nAnswer: 0.0904574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 126 = 21. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -72.4. Let q = g - 3.4. Let f be (10\/(-8))\/(1\/4). What is the biggest value in -3\/2, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 12. Let u(d) = 8*d - 37. Let k(n) = -11*h(n) + 4*u(n). Let t be k(-6). Is (-2865)\/t*((-4)\/(-6) - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**8\/6720 + s**7\/315 - s**6\/60 + 5*s**5\/12 + 11*s**2. Let z(a) be the third derivative of u(a). Factor z(h).\nAnswer: (h + 6)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2522 - 768. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 h when four letters picked without replacement from {h: 4, x: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-30) + 3)*-2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-130))\/((-234)\/(-780))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2, 0 = -y - 2*l - l - 6. Which is bigger: y or 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55214, -55216, -55218, -55220, -55222?\n\"Answer: -2*x - 55212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 10*m + 12. Let a be s(-6). Suppose 1152 = -a*i + 3*i. Suppose 8*k + i = -0*k. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/10 - 25*f**4\/6 - 47*f**3\/3 - 23*f**2 + 159*f + 2. Determine l, given that s(l) = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqn when four letters picked without replacement from {k: 1, q: 2, a: 1, n: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -278, -467, -656, -845?\n\"Answer: -189*g + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - b**2 + 3*b - b**2 - 4*b.\nAnswer: -2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632187282 to the nearest integer?\nAnswer: 25143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147*202\/14847*-2*3\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o. Let t be a(-1). Let p be (-3)\/(-1) + -1 + t. Solve p*l - 3 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + 54 + -48 - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-14) - (-1131)\/(-91). Let a be (6\/1)\/(r\/(-30)). Solve 0*q + a = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 + 27002*r**2\/9 + 10128000*r + 10125000 = 0. What is r?\nAnswer: -6750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1052353 + -3?\nAnswer: -1052400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4 - 162*p**3 + 6837*p**2 + 12008*p - 2651184 = 0.\nAnswer: -17, 27, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = -2*w, -1 = 5*w + 4*m + 5. Calculate the highest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 44896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-8)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1347.2?\nAnswer: 134.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 30*k - 55. Determine p(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000481486 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10268037 and 1937.\nAnswer: 10268037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, -70, -92, -148, -250?\n\"Answer: -2*x**3 + x**2 + 11*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 4*d**2 - 5*d + 63. Determine u(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 - 3*c + 11. Let g be o(-5). Suppose -4*d - 3 = x, 4*x + 7*d - 4*d = g. Solve 0 = -b - 0*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1250877455 + 39\nAnswer: -1250877416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1239548554 to 5 decimal places.\nAnswer: 0.12395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 140 = -10. Suppose 4*l - 48 = c + 18, -2*l + y = c. What is the least common multiple of 185\/10 + ((-2)\/(-4))\/(-1) and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5014577850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/2 - 79020\/(-11295). Let i = -242\/2259 + o. Sort 9, i, -0.3, -1.\nAnswer: -1, -0.3, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938979, -1877853, -2816727, -3755601, -4694475?\nAnswer: -5633349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 + 3*d**2)*(-2*d**3 + 6 - 6) + (2*d**4 - d**4 - 2*d**4)*(-d - 3*d + 3*d) + 3*d**5 + 2*d**5 - d**5.\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 36\/11 (c) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 - 18.6. What is the fourth biggest value in t, 0, -3\/5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*z**2 + b**2*z + 2118079*b**2 - 2273*b*z**2 + 979*b*z wrt b?\nAnswer: -4*z**2 + 2*z + 4236158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5. Let l = 238 + -243. Let b be l + ((-2)\/(-13) - 120\/104). Let d(z) = -1. Let u = 2 - 1. Determine b*d(k) + u*m(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n + 3. Let g be r(-8). Let a be g - 4 - -628 - 2. Let j be 640*(0 + 7*a). Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a - 2*a)*(a**2 + 4 - 4) + 2*a**3 - 5*a**3 + 4*a**3 - 5*a**3 + 4*a**3 + 0*a**3 + (2 - 9 - 4)*(-4*a - a - 4*a)*(-2*a**2 + 0*a**2 + 3*a**2).\nAnswer: 101*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*30\/27 + -3. Let f = -626887\/9 - -69654. Sort b, f, -2.\nAnswer: -2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 604800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8773*u**2 - u - 95719 wrt u?\nAnswer: -17546*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6461*u + 25833. Determine o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 29 + 11)*(-2054 - 53*z + 2054) + 3*z + 1 - 1 + (-3 + 3 + z)*(-1 - 2 + 1) to p*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 e when three letters picked without replacement from neelfneenfennenne?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0.3. Let h = 15 - 19. Which is the third biggest value? (a) d (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*b - 2*b - 2*m, 0 = -4*b + m + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17736*i**3 - 2*i**2 - 11397?\nAnswer: 106416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*i**2*s**3 - 9*i*s**3 + 1219*s**3 with respect to i.\nAnswer: 156*i*s**3 - 9*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 515111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1965\/(-917)*105\/9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32. Suppose u = b*u - 2. Suppose -2*a = -a. Is u smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a - 68. Let n be v(-10). Suppose -7*l = -2*c - 5*l + 1216, n*c - 3*l = 1212. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 10, 1\/5, 2, -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 49*h - 197\/4 = 0. Calculate h.\nAnswer: -197, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436 or -435?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - -2) - -1. Suppose -k - 14 = -3*o - w*k, -4*k + 40 = 4*o. Suppose 0 = 82*b - 115*b + 1584. Calculate the highest common factor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30358693 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 17*v - 16. What is the remainder when 134 is divided by i(13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6701587 nanograms?\nAnswer: 0.0006701587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -34. What is the biggest value in -5, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17535375 and 313920?\nAnswer: 4905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*s**6 + 21*s**3 - 5*s**2 - 19?\nAnswer: -3720*s**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0086 + -182.2086. Let p = 177 + c. Round p to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1192505, -4769734, -10731783, -19078652, -29810341?\n\"Answer: -1192410*k**2 + k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 0)*(-11*w**2 - 9*w + 9*w).\nAnswer: -55*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7*m = -4*m - 30, h + 2*m - 13 = 0. Put 0.4, 0.2, h, -1\/2 in descending order.\nAnswer: h, 0.4, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018335?\nAnswer: 3, 5, 29, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10792 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 62*x**2 - 11*x + 6. Let b be o(-6). Suppose -12*a + 4*a = -b. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.526382 litres to millilitres.\nAnswer: 526.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -24*c + 5*c. Let r be (-10)\/55 + c\/(-22). Suppose -w + 7 + 144 = r. What are the prime factors of w?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 + 841 - 8 = -28*z - 472, -3*z = 5*f + 136 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and 10\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17750290.\nAnswer: 2, 5, 31, 57259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (51 + -41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3612, -28914, -97596, -231348, -451860, -780822, -1239924, -1850856?\nAnswer: -2635308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5.88. Let x = -337236.1200392 - -337236. Let f = x - i. What is f rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + x = 6 + 22, -3*x + 4 = -j. Suppose -j*v - 12 = -2*b - 3*v, -4*v = 4*b - 16. Solve -5*k + 5 = b*y, y - 4 = 4*k + 3*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1735 is divided by 183?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 2. Let f(d) = 48*d + 33. Suppose 3*m + 140 = 122. Determine m*f(x) - 99*t(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11508 and 1661100?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 - 2 - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 1 v when three letters picked without replacement from {n: 3, c: 1, m: 6, l: 2, v: 3}?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -31, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let m be b\/(34\/(-12) + 3). Solve -z + m*z = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16046c8 (base 13) in base 9?\nAnswer: -14256641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.23697 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2174966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 93\/13 - (-18 - 2832\/(-156))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/26 and -101\/947228022?\nAnswer: 947228022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 2718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from gnvgggvkc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89242, 356964, 803154, 1427812?\n\"Answer: 89234*x**2 + 20*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.163 and 484.\nAnswer: -3950.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196.9 + -82. Round m to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*v**5 - 1220*v**4 + 1775*v**3 - 760*v**2 + 100*v = 0. What is v?\nAnswer: 0, 2\/7, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1762*o**2 + 5770*o + 6222. What is the derivative of i(m) wrt m?\nAnswer: 3524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 6. Let q(o) = -1. Let h(f) = -6*q(f) + v(f). Let b be h(-4). Sort 2, -2, b.\nAnswer: -2, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30061*i**6 - 12386*i**2 + 4 wrt i?\nAnswer: -3607320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*1\/(-4))\/((-456)\/(-96)). Suppose 4 = 4*l - 8*l. Suppose 1 - 6 = -5*t. What is the nearest to l in -0.5, t, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/45 + 17\/9. Let s = y - 23\/15. Suppose -2*z + 8 = 3*c, -4*c - 3*z = -0*z - 12. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by 1\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9*(-6)\/63)\/(9\/42). Let l be 1 - 4\/6*-3. Suppose 0 = -2*p - 2*y - 4, d*y = -l*p - 0*p - 10. Solve -3*v + 12 = -p*o, -3*v + 9 = -4*o + 3*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2321 and -47\/1477.\nAnswer: 16247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 15, 3 in decreasing order.\nAnswer: 24, 15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (78 + 6 + -24 - (-4 + (1 - -2)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838080102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 299.05, 33, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + p + 1. Let a be b(-2). What is the greatest common divisor of 77 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + 6*j**3 - 3*j**2 + 7*j**2 + 2 + 5*j. Let p be i(5). Solve p*r - 3*z + 22 = 0, -5*r + 4*z - z - 37 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.948 * 0.1\nAnswer: 0.2948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 425?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(38)\/sqrt(2))**2 + -4)*-3*3.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 36*b + 132. Give t(-31).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(12\/(72\/30))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32755 - 25752. What are the prime factors of i?\nAnswer: 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1299698080 divided by -4\nAnswer: 324924520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 9. Let d be h(-3). Let y(i) = -i - 6. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:48 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-15) - 64\/6. Let j = -13 - -7. Let m = j - c. Solve 18 = m*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/3)\/(-12)*-12. Suppose h*n + 5*n = 18. Solve 0*v - 10 = n*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 39.7. Let c = d - 39. Put -1\/3, 0.4, c in decreasing order.\nAnswer: 0.4, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 13 + 0 - g - 29.\nAnswer: -g + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 5*j)*(-105*j**3 + 51*j**3 + 53*j**3 - 20).\nAnswer: 5*j**4 + 100*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25428 is divided by 12693?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 0. Suppose -3*g + 45 = q + g, -111 = -m*q - g. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-30)*-15*2. Suppose -2*o - k*n = -3*n - 22, -4*n = 5*o - 55. What is the smallest common multiple of 1 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 - 5*l)*(0 + 2*l**2 - 2 - l**2 - 41*l**2 - 13*l**2 - 8*l**2 + (-2*l**2 + 4*l**2 - 5*l**2)*(3 - 2 - 2)).\nAnswer: 290*l**3 + 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -23*d**2 - d - 1. Let y be h(-1). Let w = y - -48. Suppose -6*i = -11*i - w, -4*i + 1600 = -3*c. What is c rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245333259*q**3 + 2*q**2 - 58*q + 50165 wrt q?\nAnswer: 1471999554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34950*j - 60138*j = 2972184 for j.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (79 + 7047\/(-174))\/((-6)\/(-4) - 2)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2976?\nAnswer: 297a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwjwwjww. Give prob of picking 1 w and 2 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 3*d - d + 2*d to the form t*d + j and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.7 (b) 1\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 1644*q - 3276.\nAnswer: -3*(q - 546)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2 + 3*q - q)*(-5 + 7 + 0).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 1 + 5*z**2 - 6*z - 3*z**2. Let n be d(3). Suppose 30 = 5*r + p + 4*p, 0 = -n*r - p + 10. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 5 = r. Let o(x) = -x + r - 3 + 7. Let m be 1*(1 + -18 + 17). Give o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161239\/14748 - -20\/1229. What is the common denominator of c and -99\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -7*t**6\/6 + 10*t**3\/3 - 12. What is the third derivative of r(k) wrt k?\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (13 - 23 - -54 - 7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-520)\/(-1300). Let o = 657\/4 + -165. Which is the nearest to -2\/7? (a) u (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 10. Let f(d) = d**3 - 5*d**2 + d + 5. Let g be f(4). Let s be l(g). Is s less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 5, f: 3}. Give prob of picking 2 z.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 127001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3732 + 3724 = -w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 54. Let c be i(13). Let q(m) be the first derivative of 1\/2*m**4 + c - 2\/3*m**3 - 2\/15*m**5 + 1\/3*m**2 + 0*m. What is t in q(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*v + 8, -5*b - 12 + 32 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -0.013?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6826 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12597*x + 15. Let s be n(5). What is s rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/6 - 85327*y\/6 - 369863 = 0.\nAnswer: -26, 85353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000495417 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 619, 1358, 2401, 3754, 5423?\nAnswer: 7414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 164\/42)\/(-1). What is the closest to o in 0, -2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - d**2 + d. Let f = 18 + -18. Let p be b(f). Suppose p = 6*l - l - 550. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 8541 = -2*o. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + 2 + (-2 + 28 - 14).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62f1d3a3 + 3?\nAnswer: 62f1d3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose p*b + 0*b - 24 = -4*w, -w = -3*b + 1. Suppose 27 = 2*c - w. What is the remainder when 30 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1588971440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22386*u**2 + 4121*u**2 + 20727*u**2 - 4088*u**2 + 22765*u**2.\nAnswer: 65911*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2651 = -8*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*x - 6 = 2, -3*o + 3*x - 9 = 0. Let m be (o - 534)*(-3)\/3. Find the common denominator of (-6)\/(-21) + m\/(-84) and -85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose -t*s = 6, 3*s = -3*j + 7*j - 318. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*f - 18. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -843, -1689, -2537, -3387, -4239, -5093?\n\"Answer: -h**2 - 843*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -0*g - g. Let n(p) = -2*p + 4. Let y be n(-5). What is the highest common divisor of y and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -9. Let z be 6\/(-4) + 124\/y. Calculate the greatest common factor of 126 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n**3 + 0)*(n + 3 - 3) + (0*n**3 - 4*n**3 + n**3)*(-3*n + 5*n - n) + 3 - 3 - n**4 - 9*n**4 + 4*n**4 - 4*n**4.\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 91*q**2 + 52*q - 305. What is g(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11182 = -2*q + 82320. Let m = q + -25736. Let u = m + -462245\/22. Calculate the common denominator of 113\/6 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 + -160. What is the remainder when (-840)\/(-36) - v\/(-12) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t - 74. Let l be m(9). Let f be ((-2)\/l)\/((-3)\/(-21)). Let a(h) = -h**2 - 2*h + 2. Determine a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-578)\/(-126) + 9\/(-63) + 0 and 12\/41.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/13837148?\nAnswer: -1\/13837148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2415302?\nAnswer: 2415254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * 66.\nAnswer: -5808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/310 and 61\/106?\nAnswer: 16430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4686*x**3 - 2*x**2 + 14*x + 12. Let p be g(-11). Suppose -5*n - 55999998 = -u, p + 16163324 = -2*n - 3*u. Round n to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) -21 (b) 0.05 (c) 3 (d) -0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from ttttqtqqttqttttttt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2506 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2977673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - -2722?\nAnswer: 26de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -4, 0.2, -0.1407, 0.5?\nAnswer: -0.1407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - (144 + -194) - -42.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24 + ((-7230)\/(-1512) - 6) + 1.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (4 - (24 - 10))) + 17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/1 - (-710)\/30*15. Calculate the greatest common divisor of d and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 296\/104 - 4\/(-26). Let l(h) = 3*h**2 - h + 1. Let z be l(2). Solve -5*g + 15 = -2*t, -g - 3*t - i = z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/125 != -20419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -117*q**5 + 50682*q**4 + 92763*q**3 - 46848*q**2 - 57420*q = 0. What is q?\nAnswer: -2, -2\/3, 0, 11\/13, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 1, 45, -6 in descending order.\nAnswer: 45, 1, 2\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -14. Suppose -k*x + 138 = -x. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - (23 + (19 - 42)) - -24.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34608 and 672?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -82. Calculate the highest common divisor of o and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/((-58)\/(175392\/210))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 9*w - 5. Calculate l(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24022, 48045, 72068, 96091?\n\"Answer: 24023*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36950*m**2*t - 4326*m**2 with respect to t.\nAnswer: -36950*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26053 - 18602. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 123 = 3*o, 0 = -o + 3*o - 10. Suppose 4*w + 5*z = t - 14, 2*w - 3*z = -6. Put 7, 1, 2, w in descending order.\nAnswer: 7, w, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2 + 3)*-299. What is the common denominator of 6\/(-27) + 582\/r and 34\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 + 26*r - 79. Let q(v) = -8*v**2 + 24*v - 82. Let f(x) = 6*h(x) - 5*q(x). Factor f(m).\nAnswer: -2*(m - 16)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5778, -46274, -156202, -370278, -723218, -1249738?\nAnswer: -1984554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y. Let j(d) = -d**2 - 2*d + 1. Let v be j(-3). Let w(n) = 5*n. Suppose p - 8 = -1. Suppose -15 = p*q - 2*q. Calculate q*i(t) + v*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose v*j = -0*j - 15. Let a = 7 + j. Calculate the lowest common multiple of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*t + 62*t - 34*t = 1680 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26 (b) 2978 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 8) to base 15.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -2*n. Suppose -o + 14 = 2*j, 0 = o + 3*j - n*j - 17. Let q = 96 + -69. Calculate the remainder when q is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 163362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4130682 and 0.08?\nAnswer: 330454.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 9*o + 213, -11*o - 6603 = 6*s - 6304 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -2*j - 66. Let g = 117 - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 + -109 + 210 - -31\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 11*m + 689. Calculate s(20).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 20 = 10*g. What is the lowest common multiple of g and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29521*j + 412895. Calculate m(-14).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + s**3 + 4*s**3)*(s**2 - 3*s**2 + 0*s**2 + (0*s - 2*s + 3*s)*(1 - 2*s - 1) + 5*s**2 - 3*s**2 - s**2).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3080 in 1\/6, -182\/3, -5\/4?\nAnswer: -182\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3 = 3*c, -2*u - 520*c = -525*c + 37 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 519\/7 and 73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357 + -309. Calculate the remainder when 334 is divided by a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 729957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y**2 + y**2 - 2*y**2 + 3*y - 4*y. Let x be t(-1). Suppose x = 3*o - 13 - 35. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 34*c = -90. Find the common denominator of c\/(-22) - (-41 - -45) and -75\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 22 - 145. Find the second derivative of -19*q**2 - 46*q**2 + 168 - d - q wrt q.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 866 - -247. Let m = -31 + 33. Suppose -m*r = 5*y - v, -y - 4*y - r + 1114 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001164342 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3763, -3752, -3741, -3730, -3719, -3708?\nAnswer: -3697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.0139 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/(t\/(t\/(t*(t*t\/(t\/(t**6\/t*t))*t)\/t*t))))\/(t*t**3*t**(-4\/9)))**(-22\/9) assuming t is positive.\nAnswer: t**(2882\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1904 divided by 14951.\nAnswer: -1904\/14951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k - 4*k**2 + 0 + 1.\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 26*a**2 + 15*a**2 - 134 + 134 - 33*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.08 (c) 4 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -i - 3*a, i + a - 58 - 4 = 0. Differentiate b**4 - b + i + 2*b - 35 wrt b.\nAnswer: 4*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/223, -1.2, -3?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/5 - -20)*5*1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -213.38.\nAnswer: 213.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/(-4)*1. Let s be (-9)\/((-27)\/6) - (-4 + 2). Suppose 3*c = s*c. Solve c*y + y - f = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:57 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123559.1cm in meters?\nAnswer: 1235.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -38 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(4\/9)*n*n*n)\/((n\/(n**(-13)*n))\/n)*n\/(n\/n**(3\/4))*n**13 assuming n is positive.\nAnswer: n**(259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8255460 to the nearest one hundred thousand.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 3. Let g = b + 18. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 53*t**3 - 17*t**2 - 19*t + 17. Let m(k) = 18*k**3 - 6*k**2 - 7*k + 6. Let c(o) = -6*h(o) + 17*m(o). Let l(g) = 18*g**3 + 8*g. Give 8*c(b) + 5*l(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 46 = 24*j. What are the prime factors of j\/9*-3 + 509\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56619622?\nAnswer: 2, 17, 617, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -57. Suppose 0 = 4*h + 2*h + 132. Let t = r + h. Solve t*x + 5 = 0, 3*k - 5*x + 0*x = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.98 + -1. Let t = 5.02 + o. Let f be ((3 + -7)\/(-1 - 1))\/(-5). Which is the nearest to f? (a) 4 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 4*h**2.\nAnswer: h**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 285.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323330001 (base 4) in base 11?\nAnswer: 1584a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 4*m + 0*m**3 - 2*m**3 - 10 - 4*m**4 + 1 to i*m**4 + q*m**2 + y*m + h*m**3 + r and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72673987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179935481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 9*t - 4. What is u(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716358 and 1235284.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*v - 2016, l + 0*v - 2*v = 491. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 45. Let z be 8\/a - (-5)\/2. Solve 0*l + z*l + 11 = -k, -8 = -4*k + l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*u - 1817769 = 0, -4*x - 10*u + 13*u = -1817783. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**3 + 3*y**2 + 4*y + 5. Let g(h) = 5*h**3 - 2*h**2 - 3*h - 4. Let k(m) = -5*g(m) - 4*j(m). Let p be k(-1). Suppose 79 = -p*x + x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**2 + 2*t + 47. What is the remainder when n(-4) is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) + 2 - (-847)\/(-154). Let f(t) = 2*t**2 + 4*t - 1. What is f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 11 = 4*c, -3*f - 4*c = f - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -406*s - 412*s + 7 + 824*s in the form u + g*s and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1103214 - 343014. Round y to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*s - 5026*s**2 + 0 - 16762*s**2 - 1 - 57*s + 118*s.\nAnswer: -21788*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y + 4*c - 18, 7 = y + c. Suppose -y*s = 2*s - 85. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 + h**4)*(1 + 1 - 1)*(-3870 - 318 + 1177 - 2016).\nAnswer: -5027*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 116. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b564 (base 12) to base 8\nAnswer: 361134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 121110200101221?\nAnswer: -121110200101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195242 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 20 = -4*w, -h = -4*w - 0 + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3 + 32. Let y(t) = t**2 - 12*t + 33. Let r be y(g). Let a be 9\/(-45)*10\/(-3). Put 0.03, -2\/9, a, r in decreasing order.\nAnswer: a, 0.03, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3539 + 5365. Suppose -792 = -7*s + v. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.559, 35\/6, 0.13.\nAnswer: -0.559, 0.13, 35\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502 - 541. What is the tens digit of (y + 40)*(-30)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308974 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: Suppose -6*c + 476 + 508 = 0. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i**5 - 46*i**4 + 20*i**3 + 46*i**2 - 12*i = 0. What is i?\nAnswer: -6, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose 83*y = 86*y + 3. What is the closest to -1 in w, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24813, 49510, 74191, 98856, 123505, 148138, 172755?\n\"Answer: -8*w**2 + 24721*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 649 and 69938.\nAnswer: 4126342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 347030?\nAnswer: 347030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 23*r**2 - 3*r + 71. What is f(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkykjkbbkjj. Give prob of sequence jj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632186*a**2*g**3 + 2*a**2 + 3*a*g**3 + 6918645*a*g wrt g?\nAnswer: -3793116*a**2*g + 18*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Is 1003263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 2*k - 2. Let q be f(2). Calculate the highest common divisor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272) + sqrt(272))**2*-3 + sqrt(272).\nAnswer: -3264 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -5*4*(sqrt(44) + (sqrt(528)\/(1*sqrt(12)))**2))*-1.\nAnswer: -4385 - 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c + 6. Let i(y) = -y**2 + 62*y + 21. What is -3*i(n) + 8*l(n)?\nAnswer: 3*n**2 - 26*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 14*y**2 + 27*y - 22. Determine t(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451385*j + 0*j**2 - 8 + 3*j**2 + 0*j**2.\nAnswer: 3*j**2 + 1451385*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2072 - 2073. Put 46, j, -5 in descending order.\nAnswer: 46, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(((c*c**(-4\/5)\/c)\/c*c)\/c))\/c)**7*c**(-5\/4)*c**(-6))**(-49))**2 assuming c is positive.\nAnswer: c**(-12103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127893 and 474370?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*p - 5*a, a + 40 = 8*p - 3*p. Let c = p - 6. Solve -c*z = -q + 10, -3*q + 8*q + 20 = -4*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 59*r**2 + 6. Let l(n) = 530*n**2 + 53. Let q(j) = 53*b(j) - 6*l(j). Let s(g) = g**2. What is q(s(o))?\nAnswer: -53*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*g**2 - 43*g + 1 wrt g.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45781054 divided by -4161914?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1705\/22338?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(567) - (-1*sqrt(567))**2) + 5 + sqrt(567))*-1 - (-3 + 5 + -1 + sqrt(567) + 2)**2.\nAnswer: -3948 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*m + 30, z - 26 - 6 = -3*m. Suppose m*w - 6966 = -1176. Let n be 1\/(-3) - w\/18*-14. What is n rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1044 + 4?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n + 4. Suppose 0*y + 9 = -5*b - y, y + 6 = -2*b. Let c(t) = t + 1. Calculate b*z(v) + 4*c(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/88078 and 83\/610.\nAnswer: 26863790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - (-114)\/24. Let a = h + 17. What is the remainder when 65 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -360, -759, -1220, -1773, -2448, -3275?\n\"Answer: -5*w**3 - w**2 - 361*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 7.2, 5 in ascending order.\nAnswer: -0.05, 5, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/336 - 4639*g**7\/210 - 143*g**5\/10 - g**4\/8 + g**3\/6 + 1183*g**2 + 2. Find the third derivative of j(u) wrt u.\nAnswer: 60*u**2 - 111336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12690 and 476063?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 238, 199, 160?\n\"Answer: -39*o + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -751607\/2800 + 1\/400. Let s be -82*118\/(-36) + 4\/18. Let z = g + s. Which is the nearest to -4? (a) z (b) -5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224718638257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456245237.\nAnswer: 7, 439, 148469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 8*a**2 - 20*a. Let m be s(-10). Solve v - 6*v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 28 = 3*g + 52, 32 = -5*g + 4*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3038 = -2*t - r, 0*t - 2*t - 4*r + 3032 = 0. Suppose 5*b + t = -0*b. What is b rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1574247, -3148498, -4722751, -6297006, -7871263, -9445522, -11019783?\n\"Answer: -w**2 - 1574248*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 20, -5*f + t - 12 = -2*t. Let b be -111 + 112 - 53\/45. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -8, 16, 58, 124?\n\"Answer: t**3 + 5*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3380*t**3 + 208*t**2 - 16*t\/5 = 0. Calculate t.\nAnswer: 0, 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1542003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**4 - 3*c**2 - 5*c**2 + 3*c**2 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:25 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/11)\/w)\/w**0)\/(w**1)**(-15)*(w**1)**(12\/5)*w**(-2)\/w**(-2\/23) assuming w is positive.\nAnswer: w**(19361\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/72 and -111\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose 4*p - 3*r = 689, r + u*r - 4 = 0. List the prime factors of p.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4 - t**2 + 8*t**2 + 3*t - 13*t**2 + 4*t**2. What is h(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-3)\/9 - -3. Let m be (((-3)\/1)\/q)\/1. Let j be (2 + m - 1)\/(-2). Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 13 = 36. Let g be (4\/14)\/1 - (-12)\/r. Find the second derivative of 6*b - 7*b**2 + 0*b**g - 4*b**2 wrt b.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -826 times 0.21049\nAnswer: -173.86474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66263783 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11827.\nAnswer: 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = h - 6*h. What is the least common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d**(-8)\/d))\/d*d*d*d\/d**(-2\/17))**(-6\/11) assuming d is positive.\nAnswer: d**(-1338\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7*a*a\/(a*a*a\/(a\/(a*a**(-2)))) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226649 is divided by 804.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 11) in base 14?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -958004*m**3 - 9*m + 15805?\nAnswer: -5748024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1323993601 from -33812.\nAnswer: -1324027413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 15 - (-127 + 101)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -2.04. Let u = -10 - t. Let v = 7.7 + u. What is the biggest value in -3\/4, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 + 39*q**2 - 5 - 61*q**2.\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/5)\/t)**(2\/7)\/(t**2*t)**20)**(-2\/77) assuming t is positive.\nAnswer: t**(4208\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2377*z**2 - 1 - 39 - 753*z**2 + 1364*z**2.\nAnswer: 2988*z**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*u = 0, -5*l - 26 = -2*u - 72. Suppose -2 - 25 = 3*q. Let n = 2 - q. What is the smallest common multiple of l and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4102 divided by -2?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21317 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/5 at least -1.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m + 3 = -3*j, -2*j - 2 = m. Is m < 5\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 1. Let r = 89 - 89. Give y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)\/(a*a\/a**(-3)*a))\/(a*a\/((a*a*a*a**1*a)\/a*a*a))**(1\/12) assuming a is positive.\nAnswer: a**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*n - 0*n - h, 0 = -n - 4*h + 11. Suppose n = l - 3. Calculate the remainder when 21 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -9. Let h(r) = -3*r - 13. Let c(u) = u + 3. Let q(b) = -9*c(b) - 2*h(b). Let m be q(i). Solve m*f - 3*x - 13 = -0*f, 2*f - 14 = 4*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/1683)\/((-124)\/(-31))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(30\/(-72) + (-5 - (-46)\/8))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) + sqrt(144)) - sqrt(104)\/sqrt(32))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1933 (base 10) to base 13\nAnswer: -b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 574\/3393 + -4\/261. What is the third smallest value in -5, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92314935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 - 7*r**2 + 2*r**3 + 1 + 2*r - r**3. Suppose 0 = 2*y - 9 - 3. What is the remainder when x(3) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 2 - a + 7 + 8*a**3 to the form z*a**3 + o*a + b + h*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21060 + 21061. Which is the second smallest value? (a) r (b) -491 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtvvtvt. What is prob of sequence vttt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:37 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23431.8 and 1.\nAnswer: -23430.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*n + 8, n - 5*n - 24 = 5*k. Let u = k - -3. Let s(z) = -z**3 - 4*z**2 + 4*z + 5. What is the smallest common multiple of s(u) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 6*v**2 + 4*v - 3. Let t be x(-5). Suppose 0 = 3*u + t*n - 7*n + 10, 5*u = 5*n. Suppose u*b = 34 + 1161. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 - 5)*(1 + 0 - 3)*(-2*k**2 - k**2 + 4*k**2) to s*k**2 + a*k + b and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*((j**(2\/69)\/j)\/j)\/j))\/j*j*j\/j**(1\/16) assuming j is positive.\nAnswer: j**(4315\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -372.5 + -69413\nAnswer: -69785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11954*v**3 - 7*v**2 - 23*v - 40. Let x be a(-7). Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20*y. Let j be a(-1). Let s = -3 - j. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230397936269334.15770047 + -230409278826788.1577. Let o = -11342557396 - p. Let c = -58 + o. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 575, 573?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 1197.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*t - 527*t + 2*t**2 - 93*t)*(-2 + 4 - 3)*(-1 - 3 + 2).\nAnswer: 4*t**2 - 1308*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imm when three letters picked without replacement from mmim.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 15*w - 30. Let p be d(-17). Suppose -o - 30 = 5*a + 1579, 0 = -p*a - 3*o - 1296. Let j = -141 - a. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 17507866?\nAnswer: -35\/17507866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4809\/2 - 2407. What is the third smallest value in -0.3, y, -9, -5, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 5*p - 3*p. Let v be w(-1). Suppose 4*q - 6*q = -v. Solve -4 = -q*t - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 416 = -35*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13167*n = 114300 - 838485 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-94)\/13)\/2 - 1. Let h = u - -686\/143. Are h and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 379 - 375. Solve 0 = n*m - p - 0*p - 2, 0 = 5*m - p - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 3. Let j(t) = 6*t - 2 + 1 - 9. Determine 2*j(q) - 7*m(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y + 15. Suppose -y*r = -r - 96. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-70)*(20\/(-28))\/(18\/(-42)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**4 + 5*g - 5*g)*(-209 - 233 - 14) to z + w*g**3 + j*g + y*g**2 + m*g**4 and give m.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -401231130 (base 5) to base 7\nAnswer: -16325055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1394 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b*b*b**0)**(1\/25)*((b**(1\/4))**28)**(-14) assuming b is positive.\nAnswer: b**(-2448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377775 or 377776?\nAnswer: 377776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 15*p**3 + 36*p**2 + 132*p - 240.\nAnswer: -3*(p - 2)**2*(p + 4)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16535*f**2 + 9541*f wrt f.\nAnswer: -33070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-13)\/4) + -55*39\/1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i - 864 + 486 + 739 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(7\/5))\/(-9*22\/693).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 + 5 - (55 - (-12 + -1 + 7)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 9) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**6*l*l**(-2)\/l*l\/(l*l**2)*l\/(l*l*l**(-3)\/l) assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:05 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -110. What are the prime factors of d*((-4)\/6)\/(10\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 + -0.01. Which is the smallest value? (a) i (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18840 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 - 9 + 15*m**2 + 12*m**3 - 12*m - 8*m**4 + 1 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545 times 0.02?\nAnswer: 70.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10*o = -14*o + 4, 2*b - 2*o = 4. Factor 0*h + 1\/3*h**3 + 0 + 1\/6*h**4 + 0*h**b.\nAnswer: h**3*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 18 = -22. Let w(z) = z**3 + 12*z**2 + 19*z - 7. Let p be w(x). Suppose -p*j = -40 + 4. What is the lowest common multiple of 2 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251024 - 251124 = -50*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-11*o - o + 3*o + 45) to the form g + y*o and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/168 - w**6\/32 + w**5\/12 + 54*w**2. Factor y(j).\nAnswer: -5*j**2*(j - 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -331*g**6\/3 + 400*g**3\/3 - 260. What is the third derivative of k(t) wrt t?\nAnswer: -39720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -12. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55669 or 55670?\nAnswer: 55669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = 4*h, -2*h - 27 = -5*f - 0*h. Let c(w) = -3 + 7 - f*w - 1. List the prime factors of c(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -29, -78, -151, -248, -369?\n\"Answer: -12*x**2 + 11*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 123*a + 164*a - 200*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30.3 from -86.6.\nAnswer: -56.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + 174\/21. Solve -6*f = -4 - a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 33*g**3 + 17*g**2 + 3*g + 176. Let v(r) = -23*r**3 - 11*r**2 - 2*r - 118. Determine -7*q(w) - 10*v(w).\nAnswer: -w**3 - 9*w**2 - w - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.8, 2\/17, 2\/3, -13393 in descending order.\nAnswer: 4.8, 2\/3, 2\/17, -13393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9671 is divided by 4245?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Suppose 6 = z*s - 0. Suppose 5*d - g - s = -0*g, g = 3. Put 3, d, 4 in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*t - 20, 0*x + 3*t - 16 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6601\/(-150765) - 24\/(-684).\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124 + 4678 = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 35) + 0 + (451 - 438)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -0.097, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 + 82 - 17*i + 87.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, 2\/5, -1\/6 in descending order.\nAnswer: 1, 2\/5, -1\/6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4965, 9911, 14851, 19785, 24713, 29635?\nAnswer: 34551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 738092277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1300*m - 107909. Give v(-83).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36 - 6\/108 - (-2)\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161062 + 230253. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 4*x + 2. Suppose t + 7 = -2*z, 3 = 5*z + t + 19. What are the prime factors of n(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8704.165mm?\nAnswer: 8704165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/240*-3*(-1 - 0). Suppose 0 = 4*c + b - 9, 4*b = -5*c - b + 15. Let o(y) = -y**3 + 3*y**2 - 2*y. Let z be o(c). Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 13068*b + 52224.\nAnswer: 3*(b - 4352)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v - 2. Let h(z) = -1795*z + 1. Let q be h(v). Let x be q\/6 + 2\/3. What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(4184 - 4184 + 118*w).\nAnswer: -354*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 441.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 2, m: 4, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - 249. What is h(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71540 (base 10) to base 14\nAnswer: -1c100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.56092l in millilitres?\nAnswer: 82560.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 16*c**2 + 65*c + 35. Calculate a(-19).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25774 + -25770. Suppose 2*m - 4*m = 0. Factor m*t**2 - 1\/2*t - 1\/4*t**r + 1\/2*t**3 + 1\/4.\nAnswer: -(t - 1)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2521.6 + -2522. Let c = 117 - 120. What is the third smallest value in c, 2\/13, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 7414*l + 1181079. Give h(-153).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/84 - (-17)\/(-6))*4\/(-140)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1778*b**2 + 8909*b + 91. Give j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/20)\/(7\/3794). Let p = -120 - r. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16799231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 10*w + 40. Determine o(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -334*j**5 - 1323*j**3 - 4031*j. Find the second derivative of r(x) wrt x.\nAnswer: -40080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((1 + -3)\/(-1)). Let u be 21\/15 + (-3)\/(-5). Let t be 5\/(-2) + u - -2. What is the second smallest value in 0.5, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 14*x + 5*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 18*q**2 - 22*q - 19. Let g be (-19)\/95 + 89\/(-5). What is the hundreds digit of l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, -150, 701 in increasing order.\nAnswer: -150, 0, 4, 5, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, -5, -21 in increasing order.\nAnswer: -21, -5, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47210 (base 8) in base 6?\nAnswer: -233024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 12188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y + 3. Let q(x) = 29*x**2 - 189*x - 296. Calculate the remainder when q(8) is divided by v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 238, 1001, 2280, 4081, 6410, 9273, 12676?\n\"Answer: f**3 + 252*f**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - q - 4. Let c be x(-6). Let z(k) = -c*k + 3*k + 7*k - 4. Let t(l) = 9*l - 5. Let b = 340925 + -340930. Calculate b*t(f) + 6*z(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(-38 + 38 + 6*k**3) + (-2*k**2 - 3*k**2 - 4*k**2)*(-3 + 1 + 1 - k) to the form l*k**3 + j + d*k + s*k**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181946181*k**5 - k**3 + 11*k**2 + 1218082*k.\nAnswer: -10916770860*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/17623872 and 80\/30597.\nAnswer: 17623872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*g - 270, 5*g - 199 + 19 = 2*u. List the prime factors of ((-45)\/(-6) + -2)\/((-5)\/u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7203*x**2 - 3234*x + 363.\nAnswer: 3*(49*x - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**2 + 0*j**2)*(2*j - 2 + 2) + 6*j**3 - 6*j**3 + 4*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 8. Suppose 0 = -3*f + 3*k + 3, -3*k = 2*k - 20. Suppose f*g = g. Calculate q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2369*l**2 - 9475*l.\nAnswer: -4738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5)*p*p\/p**(-1)*p*p\/p**0*p*p*(p**(3\/10)\/p)\/p*p)\/((p\/(p\/(p**7*p)*p)*p*p\/p**(-4\/5))\/(p*p**2)**(32\/7)) assuming p is positive.\nAnswer: p**(673\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 + -111101101110010?\nAnswer: -111101110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhhyyyhy. What is prob of sequence yhhh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -18*b**2. Let x(z) be the second derivative of -11*z**3\/3 + 290*z. Give x(i(p)).\nAnswer: 396*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (92 - (53 - 16)) + (-3 - (2 - -5))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 2055405*d**3 - 2055410*d**2.\nAnswer: 5*d**2*(d - 1)*(d + 411082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1ae3a?\nAnswer: -1ae39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(1\/1) - 0. Let f(n) = b*n + 0*n + 0*n. Let g(m) = -8*m + 11*m + 0*m - 4*m. Determine f(g(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 8704, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19446783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -2726, -9340, -22234, -43502, -75238, -119536?\nAnswer: -178490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + 12*w**3 + 126*w**2 + 108*w - 243 = 0. Calculate w.\nAnswer: -3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.944 - 27.744. Sort -0.2, 5\/114, z, 7 in decreasing order.\nAnswer: 7, z, 5\/114, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134792.\nAnswer: 2, 3, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 - ((-15 - -23) + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.885 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -6 + -4 + -10 + 13 + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -14, -1, -2 in decreasing order.\nAnswer: -1, -2, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733734221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/34)*m\/(m\/(m**(-5)*m))*m**(-25)\/(m\/(m*m**(6\/25)*m*m)) assuming m is positive.\nAnswer: m**(-22721\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167179.\nAnswer: 47, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/7, -2\/11, 9.\nAnswer: -2\/7, -2\/11, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 13. Let i be ((-918)\/(-12))\/(-9) - (-3)\/6. What is h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 18\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -73?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 96, -1\/3, 2, -5?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/31 - 11\/124. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 6:22 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d*d*d*((d*d**21)\/d)\/d*d)\/d*d))\/((d\/d**(-16)*d)\/d))\/(d**11\/d)**4)**(-30) assuming d is positive.\nAnswer: d**2370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(10\/550*11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*n - 88463*f**3 - 5009*f**2*n - 139*f**2 - 1275*f*n + 3*n - 2 wrt n?\nAnswer: -f**3 - 5009*f**2 - 1275*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12912 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - -0.3. Let p = 3.139 + -3.1. Let m = p - 8.039. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21788920 to the nearest ten thousand.\nAnswer: -21790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 11. Calculate the greatest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0, -342, 71 in decreasing order.\nAnswer: 71, 28, 0, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 55099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5283828 divided by 293546?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -324840 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/3 - 46*w**4\/3 + 298*w**3 - 1538*w**2\/3 - 892*w\/3 + 528 = 0.\nAnswer: -36, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2 + 121*v**3 + 3*v**3 - 200 + 138*v**3 with respect to v.\nAnswer: 786*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 40\/(4 + -9). Let w be 16\/(-21)*3\/m. Let d = 113\/210 - w. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25548 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 2, r: 2, e: 7}. What is prob of sequence geog?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 21. Let q be s(-9). Let r be (2 - 2)*(q - 11). Let n(l) be the second derivative of -l**4\/12 - 5*l**2\/2 + 2*l. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 89*y + 3. Give q(1).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, -0.404, 3\/4 in decreasing order.\nAnswer: 399, 3\/4, -0.404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 68. Let o be (-2)\/7 - (-237)\/21. Calculate the greatest common divisor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x - 6. What is y(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - y + 7, -4*p + 33 = -346*y + 351*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 913 minus -90104?\nAnswer: 91017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201*q**3\/2 - 517*q**2\/2 + 158*q.\nAnswer: q*(q - 1)*(201*q - 316)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 440*f + 440*f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/9 + 6\/(-27). Let x be 0*(20\/(-5))\/(-8)*30\/(-60). Solve x = 8*m - 7*m - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/206 + 305\/824. Let n = b + -1\/4. Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by -3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.1 - -13.3. Put -146, -3, a in increasing order.\nAnswer: -146, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - f + 3 = -2, 4*u + 16 = 5*f. Let i be u\/2 - 4\/8. Let c(x) = x**2 - x + 7. Determine c(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 52685.3 seconds?\nAnswer: 52685300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1798912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 22. Let l = 72 + o. What is the remainder when 46 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/3 - 782*b**3\/3 - 4249*b**2 + 212280*b - 1491984 = 0. What is b?\nAnswer: -39, 12, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*s = -7 - 71, 4*t = -4*s + 76. Let i = 17 - t. Let g = 0 - i. Solve -g = -4*c + 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.8. Let f = h + 0.6971. Round f to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, -16 in decreasing order.\nAnswer: 5, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z. Suppose -3*i + z*i = 4*n - 16, 0 = -i - 4*n + 8. What is the units digit of 75\/11 + i\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25023 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 4 + 4 + (3*v - 2*v - 2*v)*(1 - 4 + 1) + 0*v - 2*v + 0*v - 2*v - 3*v + 0*v to f + j*v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -166?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**1)\/k)\/k*k)**9)**50 assuming k is positive.\nAnswer: k**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -123*((-15)\/5 - -2). Suppose -r + 1188 = -5*l. Let n = -136 - l. What is the remainder when n is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*l. Suppose -l*x = -1 + 5. Suppose 3*y + 2 = -4. Sort x, y, 2.\nAnswer: y, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 47*s**2 - 752*s - 38059. Calculate f(-45).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 - s**2\/2 + 2*s - 11. Let a be p(2). Suppose -6*o + a*o = -4000. What is o rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 - 31*z**2 + 4 - 1 + 3411*z - 3411*z.\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 6*o**2 - 6*o + 2. Let f be b(-7). Let x = 13 - f. List the prime factors of (x\/(-4))\/((-6)\/8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = -51*s + 4, -23 = r + 5*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b*b*b**(-1\/3)*b)\/b*b**4)\/(b**1\/b**(3\/2))*(b**(2\/3)\/b*b*b**(-3))**(-3\/17) assuming b is positive.\nAnswer: b**(977\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*-1*2\/(-10))\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.206 + 2.266. Let f = -0.5 - -0.9. Sort 0.1, f, 1\/5, g.\nAnswer: g, 0.1, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 2, n: 1}. What is prob of picking 2 g and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.079 + -4.279. Which is the fifth biggest value? (a) -6\/7 (b) 11 (c) r (d) -1 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -55, -31?\n\"Answer: 24*i - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12629 - -1894351\/150. Let i(m) be the second derivative of b*m**6 - 10*m - 1\/210*m**7 + 1\/100*m**5 - 1\/60*m**4 + 0*m**2 + 0 + 0*m**3. Factor i(a).\nAnswer: -a**2*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5))**(3\/7)*((c\/c**(-24\/5))\/c)\/(c**(15\/8)*c) assuming c is positive.\nAnswer: c**(103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k - 356277 - 1878569 + 331559 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -345*g - 6. Let h be d(-7). Let m = -1291 + h. Let u be m\/1560 + 8\/(-10). Are u and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137159670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose 3*v = -f*n + n, -32 = -5*v + 3*n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658, -1903, -3734, -6151, -9154?\nAnswer: -12743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 15) to base 4\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 2*y + 135, -6*y + 5*y = 3*y - y - 15 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2567*s**3 + 17628*s**2?\nAnswer: -15402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68038 is divided by 378?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -335 and -58.094.\nAnswer: 19461.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 3, 3\/2, -1553 in decreasing order.\nAnswer: 3, 3\/2, 1, 0, -1553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyvy when four letters picked without replacement from vyvvyyvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -76, -104, -132, -160?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 124, 245, 364, 481, 596?\n\"Answer: -f**2 + 124*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 - 6*y + 1. Determine k(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 14 + (74 - (9 + (15 - 31))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -x + 6*x + 28553, -4*x - 19038 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 5*w - 3*w**2 - 5*w + 14 in the form t + n*w + m*w**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:11 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 400*c**2 + 382*c - 6780. What is v(-399)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -23. Let a be (p*(2 - 2))\/(-2). Suppose a = 2*f + f. Which is smaller: f or 2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + j**4 + 4*j**4 + (3*j**3 - 5*j**3 + 0*j**3)*(4*j - 4*j - 2*j) + 349*j**4 - 209*j**4 - 170*j**4 - 3.\nAnswer: -21*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512981579?\nAnswer: 11, 17, 37, 151, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8164 = 2132*s - 13348 - 63768 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**7\/175 - 49*w**6\/300 - 287*w**5\/150 - 151*w**4\/60 + 28*w**3\/5 + 41*w**2 - 3*w + 2. Find a such that f(a) = 0.\nAnswer: -4, -1, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, c: 1, e: 4, t: 5, j: 6}. Give prob of sequence emt.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:10 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.222479 centimeters in nanometers?\nAnswer: 22224790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -57.426 (c) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(1 + sqrt(720) + -5))**2 + -4.\nAnswer: -336*sqrt(5) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buyqq. Give prob of picking 2 q and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 + -1 + 0). Suppose 5*b - 33 - 27 = v. What is the remainder when 45 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54891 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1235*d**2*r**2 + 576*d**2 - 5168*r**2 - 21515*r wrt r.\nAnswer: -2470*d**2 - 10336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81864 is divided by 202.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30528320*b**2 - 805184*b wrt b?\nAnswer: -61056640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + r - 2)*(14 - 22 - 19)*(-8*r + 9*r + 37*r).\nAnswer: -1026*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.613 and -1406.\nAnswer: 861.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -613 by 6.\nAnswer: -613\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1*-4 - (5 - 33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 2*l**2 + l + 4. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10253513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1) - (-8 - (-40)\/(-22 - -12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 10.6393319?\nAnswer: -10.9393319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3667?\nAnswer: -3667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -538, -539, -540, -541, -542?\n\"Answer: -c - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/3 - -133\/15. Let x = -1.97 - -2. Let d = x - -0.37. Which is the biggest value? (a) d (b) v (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*l + 136 = -x, -x - l - 24 = 0. Let m = x + 37. Let f = -6 + m. Solve f*k + 6 = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 16*y + 69. Let i be o(-15). Is i smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 805.99495 + -806. What is a rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 14*y - 40 = 0. Suppose -y*s = -14*s + 532. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -55, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 s when three letters picked without replacement from ijjsjsjjsijxejjsj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*t = 288*t - 60 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/34706 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 13*b**2 - 3*b - 5. Suppose -5*o - 25 = 5*i, 2*o + 0*o + 8 = -4*i. Is q(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56200 greater than or equal to -56199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5863, 6607, 7847, 9583, 11815?\nAnswer: 14543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/((-6)\/60). Let s = w - -18. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52270, -55423, -58576, -61729?\n\"Answer: -3153*w - 49117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*z + 89, -4*l - 8 = z + 149. Let s = l - -44. Solve a = s*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 - 132. Suppose -y*h = -80*h - 234. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)\/(sqrt(10)\/sqrt(5)))\/sqrt(2))\/(sqrt(77)\/((sqrt(14)*-1)\/sqrt(2))) + -3)**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((-2575)\/1854*(-885)\/50)?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 6603?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79\/3 + 26. Let g = -24 + 49.5. Let t = 25.6 - g. What is the nearest to 2\/17 in -0.4, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*i + 22 = 0, 19 = -2*r - 5*i + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230122 - 330?\nAnswer: -231112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -1\/6, 0, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-105) + (-122)\/60 + 2. What is the nearest to -1 in u, -2, 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*n - 0*l - 3*l + 4*l - 90, 0 = -94*n + l + 339 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - -7 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 + 8*w - 10. Let b be a(7). Let p be 1\/b - 14\/(-6). Suppose -u = -1 + p. Sort -3, 1, u.\nAnswer: -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 86592.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 13396263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*j - 2*j + 432 = 0, 5*j = 15. Let u = v + -80. Solve -8 = 3*z + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3648 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 859 + -853. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 3*x = 7*t, -5*x = 182*t - 187*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let r(p) = 420*p + 10. Let c(h) = 15*j(h) + r(h). Let o be c(18). What is o rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - j**3 + 2*j**2 - 2*j + 4*j + j - 2*j**4 as r*j + x*j**3 + v + z*j**2 + s*j**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-36)*1509 - (-2)\/8. What is the highest common factor of 42 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 - 72*n**2 + 156*n - 80 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 + 85742*z**2\/7 - 7646880*z\/7.\nAnswer: 2*z*(z - 89)*(z + 42960)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105711 and 1970.\nAnswer: 107681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770*a + 781*a = 428 - 153. Solve 20*o - 15 = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 16. Let k be p(12). What is the second derivative of -5*r**4 + 5*r**k - 2*r + 4*r**4 - r**4 wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157605 (base 9) to base 8.\nAnswer: 276250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*c - 84*c + 214*c - 2*c**2 + 1)*(1 - 5 + 0)*((-2*c + 0 + 0)*(2*c - c + 0*c) + 5*c**2 - 4*c**2 - 2*c**2).\nAnswer: -24*c**4 + 192*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be40 - 1e2e?\nAnswer: -dd6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 64 = -2*z. 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 -123165 - 5?\nAnswer: -123170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let l = 24 - o. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 4:37 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - 6 - -4) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyybvvayz. What is prob of picking 1 y, 1 b, and 2 a?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/(-6)*(-42)\/(-70). Solve 4*q - 18 = c - 3*c, -q = 3*c - s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, -2, -5, -4, 3, 13 in descending order.\nAnswer: 105, 13, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8\/g**(-1\/4))\/(g**(-4\/5)\/(g\/g**(3\/7))))**(6\/5) assuming g is positive.\nAnswer: g**(4041\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y - 95*y**4 - 97*y**4 + 288*y**4 + 42 - 9*y - 98*y**4 to o*y**3 + t + h*y**4 + w*y**2 + c*y and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 96*v - 256270 = 0. What are the prime factors of v?\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1224 and (-57 - -52) + 1 + (-29452)\/(-7344)?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and (-1084)\/264 - 2\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 - 58*m. Let g(p) = 10*p + 444. Calculate g(u(b)).\nAnswer: -90*b**2 - 580*b + 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 548436 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a*a**(1\/3))\/a)\/(a**(-2\/13)*a))\/(a\/(a\/(a\/(a\/a**(-1))*a)))**(-1\/27))\/((a\/a**0)**(-11)*(a\/a**0*a)**(-32)) assuming a is positive.\nAnswer: a**(2983\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 23, 37, 63, 101, 151, 213?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5481 - 535 = 0. Let r be (4 + y)*1060\/(-3). Round r to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5717260519 - 4.357655423. Let f = 483.7859026711 + h. Let b = f + -484. What is b rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1408796773 and -1408796771 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5)*p*p**(-5))\/((p\/p**(-1\/3))\/(p\/(p**3\/p))))\/(p**2\/(p*p**(1\/4))*(p\/(p\/p**(-6)))\/(p*p**4*p)) assuming p is positive.\nAnswer: p**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9271 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: Calculate 0.4 - 1270923.\nAnswer: -1270922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.185, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58111, -58119, -58139, -58177, -58239?\nAnswer: -58331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233870977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y**2 - 3*y - 8. Let u(b) = 5*b**2 + b + 4. Let c(o) = -4*f(o) - 9*u(o). Let s = 5 + -1. Calculate c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32335446.\nAnswer: 2, 3, 11, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(500)*-2) + 0 + -5.\nAnswer: -1 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/2, 480, 13, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499097, 2998192, 4497285, 5996376, 7495465?\nAnswer: 8994552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36551 + -36555. Which is the biggest value? (a) 3 (b) -2\/15 (c) 1\/6 (d) -0.03 (e) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31508, -31220, -30932, -30644?\n\"Answer: 288*j - 31796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqssssbqsqsqqbqbqqs. Give prob of picking 3 q and 1 s.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434718?\nAnswer: 2, 3, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 13*d**2 - d**3 - 704 + 9*d**4 - 12*d**2 + 707 as h*d**4 + q*d**2 + f*d**3 + u + z*d and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 493974311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {j: 6, b: 3, z: 2, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 divided by 5.\nAnswer: -118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 3*t - 2. Let f be s(-1). Let n be (52\/f - -2)*69\/46. Solve n*r - 18*r - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103102331 (base 4) to base 9.\nAnswer: 1558172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1170140 and -61\/14270.\nAnswer: 1170140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oznozzoz. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 5*h. Let p(m) be the second derivative of -m**3\/6 + 8*m. Calculate p(k(b)).\nAnswer: -b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 81\/(-6)*(-2)\/3. Suppose o + 3 = 4*t. Let d be 3 + (-1 - -2) + t. Solve 2*v - d = -1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.046 - -64.046. Let g = k + -53.2. Round g to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 <= 40008009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/120 - k**5\/20 - k**4\/6 - 7*k**3\/6 + 4*k**2. What is the units digit of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**8\/112 + 3*u**7\/70 + u**6\/20 - u**5\/10 - 3*u**4\/8 - u**3\/2 + 4*u**2. Solve w(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w**3 - 2*w**2 + 4*w**2 - 13*w**3 + 10*w**3 in the form t*w**3 + x + h*w**2 + i*w and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -0.05. Let v = q - -0.18. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/(4\/10). Let a = 2.2 - 2. Let v = a - 2.2. What is the second smallest value in z, v, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + i**3 - 6*i**3 + (3*i - 3*i - i)*(12*i**2 + 23*i - 23*i) as b*i**3 + k + n*i + t*i**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, j: 5}. What is prob of sequence jb?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {u: 4, o: 1, c: 3, p: 1, m: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)\/z)**(-11)\/(z**(3\/10)\/((z*z**(4\/7)*z)\/z)))\/(z*z*z**(-4\/5)*z*z**(-3\/8)*z**(-1\/2)\/z**(8\/3)) assuming z is positive.\nAnswer: z**(3211\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2 + w**4 + w**4 + (-2*w**4 + 2*w**4 + 2*w**4)*(-7 - 4 - 5).\nAnswer: -30*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6528 and 89\/136.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13504*c + 5*c**4 - 2 - 13468*c - c**4 + 38*c**2 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 43, 60, 77, 94, 111?\n\"Answer: 17*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 - 3*d**4\/8 - 8*d**3\/3 - 2*d**2. Let i be c(-7). Is -9\/5 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2862739126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 195, 303, 417, 537, 663?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 326 = 906. Suppose 28 = m - b - 3*b, 0 = 3*m + 2*b - 112. Let n = m - o. What is the least common multiple of 6 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5\/12*w**4 + 5*w - 55\/3*w**3 + 0 + 605\/2*w**2. Factor b(m).\nAnswer: 5*(m - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 620 + 1022 = 753 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*z + 5*t + 73, -81*t - 8 = -2*z - 83*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heeheghheeeeheeeee. What is prob of sequence hheh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1449 + 1156. What are the prime factors of z?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 1972269810*u - 324154016953119675 = 0. Calculate u.\nAnswer: -328711635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -83, -99, -79, -11?\n\"Answer: 2*x**3 - 54*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20*((-3)\/(-4))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10989 and 2486.\nAnswer: 2483514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 599 + -596. What is the least common multiple of (-4)\/(-14) + (-40)\/(-7) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 2*h**3 - 2*h**3 + (-2 + 2*h + 2)*(3*h**2 + 3*h**2 - 5*h**2 - 4).\nAnswer: h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 8*d**2 + 47*d - 374. Calculate the smallest common multiple of 41 and a(7).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 28. Let l be m(1). Let b(k) = 65*k**2 - 138*k - 32. Is b(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 757482 divided by 1518\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/2121421 or 0?\nAnswer: 18\/2121421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/11 + 27\/33. Let b be (-7*36\/(-4))\/r. Let y be (b\/12 - 4)*(3 - -1). Solve -y = 5*g + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59623*d - 163 + 14908*d + 14902*d + 14907*d + 14904*d.\nAnswer: -2*d - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -3*w - 4*h + 5*h, 143 = w - 4*h. What are the prime factors of w?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/6*a**4 + 1\/6*a**3 + 7\/240*a**5 + 11*a**2 + 0 + 0*a. Let i(u) = 0. Calculate u.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 1481682?\nAnswer: 16298502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 5763*j**2 + 5762*j**2 + 2 + 0 - 2.\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22861 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421921 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -213603 in 1\/9, 5, -1\/2, -0.4, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 159*j - 2125. Let a be z(15). Let i(o) = 6*o**2 - o + 4. Let v be i(-4). Calculate the highest common factor of v and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -96. Solve 3*b - 6 = -a + h*a, 5*b - a = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225663 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9428 - -9433. Calculate the least common multiple of m and 555.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*l = -273 + 11, -5*c + 632 = l. What is the greatest common factor of c and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 19*h**2 - 1336*h + 23467. Calculate m(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113.3 in 23, 2\/9, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 12, m: 3}. What is prob of sequence xxmx?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -484 + 629. Suppose 139*m - 134*m - 125 = 0. Calculate the highest common divisor of m and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*a**2 - 75*a**2 - 4*a**4 + 13*a**4 + (2*a**4 - 5*a**4 + 5*a**4)*(-1 + 6 - 4).\nAnswer: 11*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -391. Calculate the greatest common divisor of 73 and w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**4 + 6*l**3 + 21*l**2 - 10*l - 6. Let o(x) = 5*x**4 + 35*x**3 + 125*x**2 - 60*x - 35. Let b(s) = -35*f(s) + 6*o(s). Factor b(d).\nAnswer: -5*d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 10*j + 4. Let d be a(-7). Let v = d + 72. What is the remainder when 139 is divided by ((-56)\/40)\/(2\/v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**3 + 11. Let v(l) = -6*l**3 + 5. Let y(i) = -3*m(i) + 7*v(i). Find the first derivative of y(k) wrt k.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/34 and -62\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (-1 - -8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + 3*g + 6. Let v be i(-2). Let a be (v\/(-6))\/(10\/(-15)). Solve 9 = -3*y + 2*z - z, -y = 2*z - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914255.4ml in litres?\nAnswer: 914.2554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Solve m + 3 = 2*m - z, 0 = -i*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211201 (base 3) in base 15?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322\/5 + -64. Which is the third biggest value? (a) 0 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8754421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1201?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - 0.2800191. What is z rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3 + 2*m**2 - 15*m - 217. Let t(o) = -5*o - 5. Determine -3*a(g) - 4*t(g).\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2799 - 2447 - k - 2523 to z*k + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35372, 70061, 104766, 139493, 174248, 209037, 243866, 278741?\nAnswer: 313668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 24 = 2*i - 0*i, -5*i = 15. Let u = t - -5. What is the units digit of u\/(3\/(-24)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000724938 to 6 dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*g - 12 = -b, 3*g + 12 = -b. Let r be (-4 + 13 - 4)\/(g\/(-30)). Calculate the greatest common divisor of 200 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-20) - (-4)\/(-10). Suppose 3 - 1 = n. List the prime factors of (n + 0)*(y - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -1. Suppose -m*y + 3*y = 36. Let h(g) = -3*g - 6. List the prime factors of h(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 37*o**2 + 7*o - 1. Let n be r(-1). Let p(t) = 2*t - 51. Let a be p(n). Solve -a*y = -9*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1763 + 1193. Let l = -382 - u. Let t = l + -188.00000508. Round t to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmhmmmhmmh. Give prob of picking 3 h and 1 m.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, -0.0306, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 19 + 3 = 0. Suppose 4*d + p*x - 28 = 2*x, -3*d + 2*x + 14 = 0. Suppose -d*i + o = -2*i - 25, 3*i - o = 20. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 432\/(-40) - 26.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/3 + 838*z**3\/3 - 53401*z**2\/3 + 268036*z - 651420 = 0. What is z?\nAnswer: 3, 18, 47, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8181397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 1069393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 67 = 0. Suppose 5*m - 2*l - 117 = -4*l, -3*m + g = 2*l. Calculate the greatest common factor of 50 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(9*d + 7*d - 9*d)*(-24 + 24 + 10*d) to the form t*d + l + b*d**2 and give b.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 133*y**3 + y**2 - 27*y + 26. Let b be j(1). Calculate the highest common factor of b and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 68*c - 608. Let o be h(9). Solve 4*j + 2*p = o, -4*p - 2 = j - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from uuuuuuulpuuluu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21856?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/30 + k**4\/12 - k**3\/3 + 1413*k**2 - k. Let h(c) = c**2 + 3*c - 3. Determine 4*h(r) - 6*w(r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = -6. Solve y - 2*y - 4 = -3*f, -7 = f - t*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1510 - -3322. Let x = r + -695. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - a - 3*a + (-3 - 1 + 2)*(0 + 2*a + 0) + 2*a + 5*a + 3*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -26*u + 22074. List the prime factors of u.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:41 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 + 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 4, p: 7, t: 1}. Give prob of sequence hp.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 1 - 11595*t + 5770*t + 441*t**3 + 5827*t to the form z*t**2 + s*t + q + i*t**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*(-1 - -1). Suppose y + y + 12956 = j, 3*j = a. Let d = -13678 - y. Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967100589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 61292953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64619?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) - (sqrt(12)\/sqrt(4))**2) - sqrt(24)\/(sqrt(8) - (sqrt(8) + sqrt(8)*4)).\nAnswer: -19*sqrt(3)\/4 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 831841.1 - 831840.97499682. Let i = 0.125 - s. Round i to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j + 228202 - 867582 = 14*j. List the prime factors of j.\nAnswer: 7, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -48. Let i be (8\/(-24))\/((-1)\/12). What is the second biggest value in f, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*x + x**2 + 0*x**2 - 50*x + 7*x**3.\nAnswer: 7*x**3 + x**2 + 277*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w. Let x be (-3 - -4) + -1 + -13. Let v(t) = 17*t. Let c(m) = x*a(m) + 6*v(m). Let f(j) = -4*j**2. What is c(f(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1150604\nAnswer: -230120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -z + 24 - 29, 4*v = -2*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + t - 6 = -37, 0 = 4*m + 4*t - 92. Solve -9*r = -m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**4 + 2945*m**3*z + m**2 + 275*m*z + 16*m + z + 1 wrt m.\nAnswer: -36*m**2 + 17670*m*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20213310 divided by -777435\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40427.61 decades in years?\nAnswer: 404276.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = -23*i + 5*h + 90, 4*h - 12 + 100 = 4*i for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/55 and -9\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -0*o - o - 2*p, 9 = -3*p. Let f = 49 + o. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19868, -19824, -19750, -19646, -19512?\n\"Answer: 15*q**2 - q - 19882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pap. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*z - z - 2*g, -g - 5 = -2*z. What is the greatest common divisor of z and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -254 and -6?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136916 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/18 + 8\/(-16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*c**2 + 2\/5*c**3 + 1\/5*c**5 - 3\/5*c + 3\/5*c**4 - 1\/5 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = 0. Let n(b) be the second derivative of 0*b**4 + 0*b**5 + 1\/15*b**6 + 1\/6*b**3 + 2*b + 0 + o*b**2. Find the second derivative of n(q) wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 10956196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179445 and 4305?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**2 + 2*l - 12. Let r(m) = -5*m**2 - m + 5. Let g(v) = -4*o(v) - 7*r(v). Give g(10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -b + 12. Suppose -b*a + 3*f - 2 = 1, 4*a + 1 = f. Is a < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/20*-5)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(405) + -1)*1 + sqrt(405) + 4)**2 + -3.\nAnswer: 72*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 3. Let l be w(-3). Suppose 2*o - o - 7 = z, -2*o - 3*z + 19 = l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -258\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 3 + 0*g - 50 - 53 + 161 + 16*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 139 - 55 = -z + 34*z + 4*k, -5*k + 0*k + 16 = -z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 17*n**2 - 55*n + 8. Calculate i(6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 182*m**3 - 29*m**3 + 41*m**3.\nAnswer: 194*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001059 rounded to five decimal places?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25103?\nAnswer: 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*u + 1 = 4, 0 = -4*r - 5*u + 1. Let q be (-3 + r)\/((-2)\/(-10)). Suppose 3*o - 3*w = -4*w + 16, q*w = -25. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from xssscsxsscsssyxycs?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-44) + (-18)\/22. Let h = -1 + u. Is -1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533.13 - 251640.\nAnswer: -252173.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {y: 1, u: 2, z: 3, i: 4, r: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22002101 (base 3) to base 12.\nAnswer: -34b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100252*t**3 + 200470*t**3 - 100277*t**3.\nAnswer: -59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 77*b**2 - b + 113. Let d(l) = -39*l**2 + l - 56. Let t(q) = 13*d(q) + 6*z(q). Let w be t(10). What is w rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -5 - -2 - -2. Suppose j = 4*g + 4*r - 4, -3*g + 3*r = -8*g - 1. Let y(h) = h**3 + 4*h**2 + 3*h. Let p be y(g). Which is smaller: p or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.84*-430017.\nAnswer: 361214.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3984406901 and 32.\nAnswer: -3984406869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 25719*f - 178387272 = 0.\nAnswer: -4536, 13109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2109*c + 2104*c - 3*k = 5, -4*k - 26 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 10 - 6. Suppose -34 = 9*h + 722. Is (-12504)\/h - c\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duudggurfdd. What is prob of sequence dr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 6*b - 36, -60*b = v - 65*b + 9 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 9*g**2 + 5*g + 2. Suppose -5*q - 1 = -2*n + 10, -3*n + 3*q + 39 = 0. Let t be -4 - (n\/5)\/(6\/(-20)). Determine f(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/16 - 13\/(-4). Suppose 0 = -3*u - 2*s + 361, -h*s + 19 + 211 = 2*u. What are the prime factors of u\/(-4)*4\/(-1)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 9166*f + 20585705. Give i(-1866).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 706.\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3)\/9)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 8*j + 5*j)*(-2*j**3 + 0*j**3 + 4*j - 5*j).\nAnswer: 10*j**4 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fe4 (base 16) in base 10?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 20 = -22*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4965 = -102*h - 63*h + 1789 - 12499 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/19 - 46*t\/19 + 8 = 0.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57429 or -57444?\nAnswer: -57429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 405?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 4*(-1)\/(-1) - -4. Let d be (42\/t)\/(12\/(-80)). Let x = d + -421\/6. What is the nearest to 1 in -0.5, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.5 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-12)*(-189 - -201) - 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, -1, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.811589 rounded to zero decimal places?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2384 and 26522.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + 0 - 7)*(-1 - 0). Suppose -t = -f, 20 = n - 4*f - 0. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336831+-2104341\nAnswer: -2441172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 + 0.3.\nAnswer: -60.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -551*w**5\/30 - 1141*w**3\/6 + 1245*w**2. What is the derivative of z(q) wrt q?\nAnswer: -2204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8376?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196*-338.28.\nAnswer: -66302.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**4*p))\/p)\/p**(1\/2))\/((p\/(p*((p\/p**3)\/p)\/p))\/(p\/(p\/p**(-2\/5)))))\/(p**3\/(p**(1\/2)\/p))**40 assuming p is positive.\nAnswer: p**(-1499\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 39*g**3 + 3*g**2 + 5. Let n be a(-3). Let y = n - -1757. Suppose 0 = 9*c + y - 3292. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -73. Let k(t) = -2*t - 22. Let m be k(-13). What is the nearest to -0.1 in a, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 - 4*v - 5*v**2 + 89 as n*v**2 + m*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**18*(i**(-2)*i*i)\/((i\/(i**5\/i))\/i) assuming i is positive.\nAnswer: 1\/sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1180 and 72275?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + 2*k**2)*(-12 - 1 + 3)*(-7 - 30*k + 7).\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/41)\/((i**(-16\/5)*i*i)\/i))\/(i\/((i**(-1)\/i)\/i))**(-11\/5))**(33\/4) assuming i is positive.\nAnswer: i**(14817\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 976458*q**4 - 27*q**2 + 5*q**3 + 976464*q**4 to the form v*q**3 + t*q**4 + h*q**2 + f + k*q and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -13\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*v**5\/5 - 216*v**4\/5 + 576*v**3\/5 - 412*v**2\/5 + 118*v\/5 - 12\/5 = 0. Calculate v.\nAnswer: -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, 4, 3, -5 in ascending order.\nAnswer: -8, -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = f + 1050. Let b be (-1 - (-1 - 1)) + f. Suppose -j = -5*j + b. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 58. Let v be d(50). Let g(y) = -16*y**3 - 8*y**2 + 8. Let p(u) = u**3 + u**2 - 1. Calculate v*p(t) + g(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1662.5 - 1662.79618. Let t = -0.296 - s. What is t rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21032 - -222201?\nAnswer: 201103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 6\/11*j**4 + 10*j**3 - 108\/11*j + 224\/11 - 230\/11*j**2 - 2\/11*j**5 = 0.\nAnswer: -7, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -o + 183 - 75 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.633 rounded to 0 decimal places?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/9)\/((-22)\/12012) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tziauiztuouuzoo. Give prob of sequence iuoa.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 = k + 7*p, k = 2*p + 13. Which is the closest to -0.1? (a) -0.1 (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 4*j - 3*j)*(1 - 3 + 5 + (1 + 4 - 3)*(46 + 24 + 62)).\nAnswer: 267*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52968323 to the power of 1\/2, to the nearest integer?\nAnswer: 7278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*h**3\/3 + 262528*h**2\/3 - 150064*h\/3 + 21440\/3 = 0. What is h?\nAnswer: -1340, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by ((-20)\/(-16))\/((8\/28)\/((-48)\/(-14))).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17 - 15)\/((16\/(-78))\/(-4)). Calculate the highest common factor of l and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 + -6.4. What is the nearest to -0.1 in g, 0.1, 19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 15*z**3 + 30*z**3 - 8*z - 26*z**3 - 40*z**3.\nAnswer: -14*z**3 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-23)\/(0 + 1))\/(-1 - 0). Suppose -10*p = -b - 57. What is the remainder when (-302)\/(-10) - 1\/5 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cypccpyyccccpcycpch. Give prob of sequence yyp.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 46 - 50)*(n + 3*n - 2*n).\nAnswer: -174*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 13*y + 12. Let v be z(16). Calculate the highest common divisor of v and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 1 + -4)**2 - (sqrt(242) + 1)**2*-4.\nAnswer: 22*sqrt(2) + 1223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 7 = -5. Let f(q) = -5*q. Give f(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.1.\nAnswer: -3, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.068 (b) 4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v + 8. Let u(g) = 45 - 13*g - 97 + 60. Let f(c) = -6*p(c) + 7*u(c). Differentiate f(d) wrt d.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 32 = -0*h. Let j be h\/10*(-15)\/2. Suppose 3*a = 2*a + 3*c - 3, 0 = a - 4*c + 5. Solve a*y - 12 = 0, -y = -2*z + 4*y - j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 3*r**2 + 2*r**2)*(r - 2*r + 3*r) - 502*r + 502*r - 95*r**3 to the form k*r + s*r**3 + t + f*r**2 and give s.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose -2*f + 14 = 4. Suppose 7 + 3 = f*h. What is the remainder when h is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -0.6148?\nAnswer: -40.5768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6476 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12071, -30473, -48873, -67271, -85667, -104061?\n\"Answer: v**2 - 18405*v + 6333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -60686851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/83 - -88\/415. Suppose -9 = -4*w + 7. Let v = -9\/2 + w. What is the second biggest value in v, 1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 - 1218*w**3 - 77292*w**2 - 149688*w = 0.\nAnswer: -54, -2, 0, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u + 3*x + 24, 0 = -4*u - 2*x + 82. Suppose 2*c + c = u. Calculate the highest common divisor of 63 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:34 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-84)\/(4\/(12\/(-6)))*(563 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -252 (c) -8\/855\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ececqqqee. What is prob of picking 2 q and 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r + 559. Give t(39).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 22*t**2 - 40*t**2 + 2*t - 5*t**2.\nAnswer: -23*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:28 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = -10. Suppose q - 8 = o. What is the tens digit of ((-344)\/28)\/((-4)\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 34*f + 18. Calculate b(-34).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 4*u = -20, 2*a - 8 = -2*u. Suppose -4 = -a*d, -25*n = -29*n + 4*d + 796. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + 0.4. Let s = 2.4 - l. Let m be (3\/2)\/(18\/(-12)). Sort s, m, 5 in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 45\/(-20))*0. Let p(x) = -x - 10. Determine p(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 46*t**2 - 137*t - 499. Give l(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/40)\/(684\/855)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.4 - 16.3. Which is the closest to -2\/3? (a) 4 (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 355980 and 49766004.\nAnswer: 248830020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3814.40872 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -1109.\nAnswer: 66.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**5)**(-42) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 12*n**2 - 4*n - 15. Let l be f(9). Let g = l + 338. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.82 - -0.82. Let o = t - -12. Let q = o + 16. Which is the nearest to q? (a) 5\/3 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232184617?\nAnswer: 7, 19, 1745749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - z + 2*z = -2647656, 2*z - 8 = 0. Suppose 3*h = 5*j - v + 3529527, -3*h = j - 3000001. What is h rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.79 - -36. Let b = -0.2100048 + l. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 452559 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1358.3602475 + 57.3595705. Let z = w - -1301. What is z rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let r(a) = -5*a**2 + 4. Let u(w) = 6*w**2 - 5. Let p(j) = -5*r(j) - 4*u(j). Give c(p(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 2*y**3 + 9 - 2*y - 3 + 2*y**2 to o*y**3 + f*y + t + v*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5 + 470*a**4 - 10650*a**3 - 670070*a**2 + 10652*a + 669600 = 0.\nAnswer: -27, -1, 1, 62, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/28*((-45)\/(-3) + -8) - 78\/28.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1991\/10 - 192. Find the common denominator of c and -93\/82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-1 - 1) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -5, 3.3, -2, 13, -4, 4 in increasing order.\nAnswer: -131, -5, -4, -2, 3.3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 14. Solve 9*v - 12*v**3 - 6*v**4 + 12*v**2 - 6 + 9*v**5 + v**3 - f*v**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 3*k**2 - 4*k**2)*(-4*k + k + 4*k) + (k + k - 3*k)*(-5*k**2 + k**2 + 3*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + 5 + 4 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -460531 - -13441?\nAnswer: -444060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytytyyttyyyttyyt. What is prob of sequence tyyy?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 12 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + 205\/25. Find the third derivative of 15*t + b*t**4 + 3*t**2 - 15*t + 3*t**2 wrt t.\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -241*y + 5063. Let s be d(21). Factor 15\/7*z + 3\/7*z**s + 0.\nAnswer: 3*z*(z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2111 - 1862.75. What is u rounded to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*z**2 + 22*z**6 + 71*z**2 - 2*z**3 + 2*z**3 wrt z?\nAnswer: 2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 1:22 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 19*q**3 - 3*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 311203 (base 4) in base 8?\nAnswer: 6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*c - 392 + 297 = 15*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -49, -90, -143, -208, -285, -374?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - g - 48 = 0, 5*f + 0*f - 5*g = 40. Suppose -o - 4*t + f = 0, -5*t + 7 + 5 = o. Solve 0*j = o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 4. Let i(d) be the second derivative of d**3\/6 - 8*d. Determine -g(z) - 5*i(z).\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 289*n**2. Let l(j) = 147*j**2 - 35*j - 175. Let x(o) = 4*o**2 - o - 5. Let f(k) = l(k) - 35*x(k). What is c(f(y))?\nAnswer: 14161*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 399028153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(60)*2)\/sqrt(3) + sqrt(20))\/(-5*sqrt(8)\/sqrt(2)) + (0 + -1*sqrt(500))*-5 + 1)*2.\nAnswer: 2 + 106*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {v: 1, y: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 728289 + -124?\nAnswer: 728165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let t be -5*z\/15*13. What is the third derivative of -t*r**2 + 17*r**4 + 5*r**2 - 5*r**4 wrt r?\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 + 3*l**2\/2 - 9*l - 6. Let v be x(-7). Let o = v - 10. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0405 (b) -24 (c) -148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -744 - -750. Which is the closest to -1? (a) t (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z + 5*z)*(4 - 4 - z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 0.12. What is the nearest to 0.3 in -5, k, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69672 is divided by 164.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 16*d - 8*d. Let y(i) be the third derivative of -i**5\/30 + 2*i**2. What is y(p(c))?\nAnswer: -1058*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, -1.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -5\/4 (b) 17 (c) -4 (d) 0.11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, u: 1, w: 1, o: 1}. What is prob of picking 1 u, 1 w, and 1 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -994 + 603?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = w + 2, 5*w - 4*z = -5*z + 20. Let s(n) = 9*n - 10 - 4*n**3 + n**3 - 8*n**2 + 4*n**w. Let l be (-21)\/(-2)*10\/15. Calculate s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463424 is divided by 463421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9*3)\/((-18)\/(-81)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 364, 349, 318, 265, 184?\n\"Answer: -j**3 - 2*j**2 - 2*j + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 20223?\nAnswer: 21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.24+25476048\nAnswer: 25476049.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/3 (b) -2 (c) 3\/8 (d) -221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -565*f**7\/21 + f**6\/30 - 221*f**4\/3 + f**3 + 3533*f. Find the third derivative of b(h) wrt h.\nAnswer: -67800*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-12)*10\/(-3). Suppose 1115 = q*v - 2000. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-15)*-3 - 340\/(-2). Calculate the highest common divisor of v and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -750\/41 (b) 5 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752 - 736 + 1489 + 205*d**2 - 173*d**2 + 2*d + 306*d**2.\nAnswer: 338*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58180 by 5.\nAnswer: 11636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1748185 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8103 divided by 5.\nAnswer: -8103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 127.\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 1 + -8. Let k(b) be the second derivative of -b**3\/2 - b**2 + 5*b. What is the units digit of k(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85245 or 85235?\nAnswer: 85245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-4))\/((-11019)\/51422).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3) + 30)*1. Let i = n + -16. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1875383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-29)\/5 - (-28)\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 116, 117, 118?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 + -85. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u - 15*u - 12*u + 32*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 320174248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 12.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342490605 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1893, -1892, -1891?\n\"Answer: o - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (15 + 29 + 6 - -4 - 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10af + -1b?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 291*n. Let l(g) = 85954*g**2. What is x(l(o))?\nAnswer: 25012614*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 1.4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3139, -3153, -3185, -3241, -3327, -3449?\n\"Answer: -g**3 - 3*g**2 + 2*g - 3137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -43. Find b such that 36*b + 33*b**2 + 12 - 18*b**4 + 9*b**4 + 3*b**3 - h*b**5 + 0 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486 take away 242?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 4*n + 1 - 1. Let v = 20 + -23. Give s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((4\/7)\/(245\/343)) - -1. Let b be (1 - (-1 + 14))*1. Put 1\/2, b, 1, c in descending order.\nAnswer: 1, 1\/2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b = -23*b + 256 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+-225964.4\nAnswer: -225965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.107 + -4.207. Which is the smallest value? (a) 2\/9 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.89 + 0.11. Let j = 3.637 + -0.637. Let p = -4 - -4. Which is the nearest to p? (a) 3\/7 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 - 8*t - 1. Let r be b(-7). Is 37\/5 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 675 - 3*l - 23*l**2 + 25*l**2 + 4*l.\nAnswer: 13*l**2 + l + 675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 333 = -3*i - i, 4*d + 2*i + 444 = 0. Let r = -27 - d. Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4926.123m to nanometers.\nAnswer: 4926123000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005314626564 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.353 + -3.507. Let v = 2.47 + x. Round v to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 19*t**2. Let i(h) = h + 3. Let y(w) = 3*w + 7. Let a(d) = 7*i(d) - 3*y(d). Determine o(a(c)).\nAnswer: 76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 6. Let n be w(6). Let c(x) = -x**2 + x + 1. Let d be c(-1). Let y be (19 + -10)*d\/(-3). Solve 0*s + n = -y*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*g = 59, -4 - 156 = 5*j + 10*g + 185 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*n + 748*n - 1792 - 2923 + 130 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 - -98. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30876 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -763, -1164, -1567, -1972, -2379, -2788?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + 575*x**3 - x**4 - 1157*x**3 + 572*x**3 to o*x**4 + f*x + p*x**3 + k + l*x**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 236*r + 63180. Determine d(-268).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61\/21, -1\/5, 2\/7, -0.14, 4\/7, 2?\nAnswer: -61\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4165800.25 rounded to the nearest 100?\nAnswer: 4165800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.5 (c) 5 (d) -10 (e) -3\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 11*t - 4. Let f be j(-6). Calculate the remainder when (f - (-5 - -23))\/(-2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {a: 2, t: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzzzzzz. What is prob of picking 3 z and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015017731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6302, -5427, -4552, -3677?\n\"Answer: 875*n - 7177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14994.4788 rounded to the nearest integer?\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469 + -150. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/7 - 433182*j**2\/7 + 2599011*j\/7 - 3898476\/7 = 0. What is j?\nAnswer: 3, 144388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let x(n) = 16*n**2. Let o(r) = -5*r**2. Let v(m) = 21*o(m) + 6*x(m). Calculate v(w(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/80 and -119\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 184414656*a - 2125547834224896.\nAnswer: -4*(a + 23051832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 2*g - 2*g - 9*g in the form n + y*g and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(0 - (-1 + -1)). Suppose m*i + i = 84. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1053)*-5.\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, 13, 2\/15, 4 in increasing order.\nAnswer: -9, 2\/15, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1ad1?\nAnswer: -1ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 12aa?\nAnswer: 12ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (124 - -2) + (-11 - (-7 + (-12 - -26)))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*z = -344, 664 = 5*h - 3*z - 202. What is the remainder when h is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k + 7. Suppose 3*p = -n + k, 11 = p + 4*p + 2*n. Suppose 0 = 13*a - p*a - 24000. What is a rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(0 + 4*(0 + sqrt(200)) - (sqrt(200) + -2 + -2*sqrt(200) + (sqrt(200) - ((0 + sqrt(200))*2 - sqrt(200))))))**2.\nAnswer: 800*sqrt(2) + 20016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2340642 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -15*k - 8. Let o(b) = -10*b - 5. Let i(g) = 10*g**2 - 28*g - 1. Let n be i(3). Determine n*a(m) - 8*o(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5207298*s**2*t**3 + 536106*s*t**2 + t**3 wrt s?\nAnswer: 10414596*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196936 and 2868.\nAnswer: 590808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.9 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-14))\/(-5) - (-286)\/(-2366). Determine s, given that 10\/13*s**2 - 6\/13*s**3 - 2\/13*s**4 + 0 - v*s + 2\/13*s**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and -1311245386.\nAnswer: -1311245385.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*n + 184*n + 10, j - 3*n = 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9249*f - 30. Let d be w(-3). Suppose -186*v - d = -189*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q**2 - 2*q)*(-q + 2*q + q) + (-q + q - q**2)*(-2*q + 3*q + 0*q) - q**3 - 3*q + 3*q + 0*q**3 + 0*q**3 + q**3 + 2*q - 2*q - 2*q**3 + 1 - 1 - 2*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11888802 minus -1.3?\nAnswer: 11888803.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 903168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89925092*j**2 + 10745852*j.\nAnswer: 179850184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 4*s - 16. Let p = 2411 - 1014. Suppose -5*u - j + 1775 = j, -p = -s*u + 3*j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 223?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593124 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361961 + 361961 - 6*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1064 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -613\nAnswer: -30.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15))\/((-2)\/530). Let d = 134 - y. What is the remainder when 138 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 47 = 4*u - 30, 66 = 6*u - 36. What is p in -24\/5 - 32\/5*p + 2\/5*p**v - 6\/5*p**2 = 0?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 95, 90, 85?\n\"Answer: -5*x + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:32 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b)\/(b\/b**(-5\/6)))\/((b*b**(-2\/11))\/(b\/b**7)) assuming b is positive.\nAnswer: b**(-175\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 33670*d**2 + 6817575*d - 6851250 = 0 for d.\nAnswer: -6525, -210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3 - 3)*(0 + 0 - 1)*(10*n - 12*n + 30*n**2 - 4*n**2).\nAnswer: 26*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {e: 4, l: 1, i: 7, o: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000518720808 to 5 decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/2 + 86828*m - 3769550792 = 0. What is m?\nAnswer: 86828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -17, 41, 123, 229?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6884 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5338.385 centuries to millennia.\nAnswer: 533.8385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41711.73*-15\nAnswer: -625675.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2354 + -2354. Solve a = -2*d + 2 + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 208*v**3 + 7*v**2 + 0*v**2 + 38*v**2.\nAnswer: -208*v**3 + 53*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25141\/28 - 898. Calculate the common denominator of 578\/72 - (858 + -850) and u.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 352*p**2 + 418*p + 247. Is n(-122) 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 414 and 12?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -74. Let a be -228*((-15)\/6 - n). Let x = -64 - a. Calculate the smallest common multiple of x and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494 less than 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/4*657\/(-6). Let b = o + 2407\/11. Let z = -1 - 0. Does b = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1124162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 5*m - 3*m + 3 - 4 - 2 + 2*m**2 + 2 + m**2 - 2 + 2 + (0 + 0 - 2)*(-1 + m**2 + 1).\nAnswer: 5*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/(980\/(-560))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibr when three letters picked without replacement from iillrirribilg.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 206 + -3 + -2 - (-12)\/(-4). Calculate the greatest common divisor of 88 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -14, 11, 50, 97?\n\"Answer: -i**3 + 16*i**2 - 36*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 3*k - 10. What is t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwjpjawjhywy. Give prob of sequence whjj.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/4*(-22)\/165*3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 - 11*u - 19. Let j be t(-4). Let n = 14.1 - 11.1. Is j at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 2*u**2 - 32*u - 50 + 57 - 28 + 3.\nAnswer: -2*u**2 - 32*u - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2999328*v**2 - 606034 wrt v.\nAnswer: 5998656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2. Let w(x) = 3*x - 6*x + 0*x + 2*x. Determine w(r(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsfspsnpprsrrssr. Give prob of sequence ppns.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -384, -567, -752?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 51 (b) 4\/15 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 2. Suppose 0 = 4*v + 2*z - 128, -s*v + 7*v - z = 167. What is the remainder when 129 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*d = 54, p + 0*d - 3*d - 6 = 0. Let i be (p\/9)\/((-1)\/(-6)). Let m be (-2)\/(-4) + (-4)\/i. Solve m = -2*n + 8 + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*s + 44, 5*l - 5 = 3*s + 29. Suppose -17*r = -13*r - l. Suppose -15 = -5*x - 0*x. What is the smallest common multiple of x and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2511 and 4619.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.926 - 0.074. Let v = l + 35.00000053. Round v to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*j = 6, 5*j + 1 = 16. Let b(c) be the second derivative of c**4\/4 - 4*c. Let k(w) = 4*w**2. Suppose -2*d = -3*d - 7. Determine d*b(v) + p*k(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*b + 27 - 8 - 8 - 7 - 11.\nAnswer: 218*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 25 = 17. Let h be -2*(3 + n)*-1. Let d = 12 - h. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m - 17\/2 + 1\/8*m**2 = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12014 and 14?\nAnswer: 84098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 177605 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1638416*q - 9830498. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3 + 5\/4*n**2 + 0 - 1\/2*n + 1\/4*n**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50650.\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:00 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 113.9. Let g = p - -7.8999918. Round g to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 37 - 20 + 9*z + 33*z - 44. Let d(b) = 17*b - 11. What is -12*d(x) + 5*j(x)?\nAnswer: 6*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 4*q - 4. Let i be x(-2). Let d be 1 - (i - 0) - -1. What is the tens digit of ((-1)\/(4\/(-6)))\/(d\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtoottjottjojtoktt. Give prob of sequence tkjj.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2731794, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 - 5*m**3\/3 - m**2 - 14*m + 2. Let p be 525\/42 + -7 - (-4 + (-14)\/(-4)). Determine c(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 + -1?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -99 to the nearest integer.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**37*c**17 assuming c is positive.\nAnswer: c**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(6) - sqrt(24)\/sqrt(4)*-5) - (-2*sqrt(12))\/sqrt(2))\/(sqrt(30)\/sqrt(360)*-1) + -5.\nAnswer: -54*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/14 and 15\/404.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r = -2*r + 22, -w + 5*r = 13. Suppose -1 - 5 = -w*o. Suppose -5*d + 3 = 2*x, 0 = -d - 3 + 2. Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 82. Let z = -6 - t. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 - -2) + -7 + -10 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*m**2 + 0*m**2 + 2)*(-4*m**3 - 5*m**3 + 4*m**3).\nAnswer: 25*m**5 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2 - 0. Solve -3*m = 3*y + 3, -4*y - 3*m - 4 = -n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -4 (c) -12 (d) 1.1 (e) -8 (f) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2061)\/189 + 11)\/((-1)\/3). Let q = 2 - 3. Which is the closest to m? (a) 5 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 16 = -0. Suppose 25*a - 4*a**r - 5*a - 63 + 87 = 0. Calculate a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = -5*y, 2*y - 3*z = 6 + 6. Suppose -56 = -y*g + 13. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.642 - -0.058. Let q = s + -6.1. Sort q, 0.2, 0.\nAnswer: q, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhlhhuuhshslluss. Give prob of picking 1 u and 2 l.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 556893274 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/297 and -40\/363?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -92820.7 to the nearest one hundred.\nAnswer: -92800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 7*i**2 - 54*i - 20. Calculate the remainder when b(9) is divided by 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:08 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**3\/3 - 6*b - 1. Let d(j) be the first derivative of -46*j**3\/3 + 26. What is d(p(h))?\nAnswer: -184*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 - -378. Let b = t + -54. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4971 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 932\/5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 923441*h**2 - 203*h - 21684057 wrt h.\nAnswer: 1846882*h - 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*l**3*x - 2*c*l**3 - 10*c*l*x + c*l - 2*c*x + 5*l**3*x + 2*l**2 wrt l?\nAnswer: 18*c*x - 12*c + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-8 + -1 + 1). Suppose 0 = -4*q + 2*q - m. Let p = q + 4. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.35815051 to two decimal places.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + -95596)*14\/5*(-4)\/14?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145734254 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -7)*5\/((-15)\/9). Suppose -w*f + f - 2*j - 2 = 0, -4*j - 10 = 2*f. Solve -f = -3*h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let d = -542097.8 + 542097. Which is the smallest value? (a) j (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 36) + (138 - (102 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 8*u + 21. Let a be x(-6). Suppose -a*f + 1321 = -1991. Suppose 4*b - f = -0*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16000 and 2450.\nAnswer: 784000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 7*s - 2*s + 9*s to j*s + b and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 64849*n**3 + 4205522497*n**2\/2 + 4205327952*n + 2102631552.\nAnswer: (n + 1)**2*(n + 64848)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -900, -7194, -24286, -57576, -112464?\nAnswer: -194350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let n(q) = q - 3. Let k(u) = -3*n(u) - 2*v(u). Let g(x) = -4*x + 16. Give g(c) - 6*k(c).\nAnswer: 2*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/((-6)\/(-30)*(-5)\/2). Suppose p*z = 31*z. Solve -4*y = -z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*c - 2930 = 0, 409 = 4*z + c - 1946. Suppose -2*r = -3*u - 2*u - 606, 3*u = -2*r + z. Is r a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1056 = -5*m + 118, -2*m + 4*k + 452 = 0. Does 66 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1801, 7228, 16283, 28966, 45277, 65216, 88783?\n\"Answer: 1814*m**2 - 15*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003795 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (2 + -13)) + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313466 = -2*p - 32*t + 28*t, 2626908 = 4*p - 4*t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1314)\/(-72) + -24)\/(2\/(-8)). Solve 28*m = s*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44933 - -45670. What is the lowest common multiple of 5 and n?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-28) + 15\/(120\/16).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:39 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(1539)) - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -2)*4)) - (2 + (0 + sqrt(1539) - sqrt(1539)) + -4)*6)**2 + -3)*3.\nAnswer: -648*sqrt(19) + 41592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3168 and -41\/27?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8480*d**3 - 57740*d**2.\nAnswer: 50880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 1697878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 14, -9.6, -0.07, -2\/35?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 492 - 476. Suppose -5*y - 8 = -4*i + 28, 2*y + 16 = 2*i. Suppose i*p = 679 - 167. Calculate the highest common divisor of p and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*d + 5004 = 217*d - 279*d - 1800 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - j**2 + 0*j**2 + 2*j**2 - 4. Let u be z(-8). Solve q = -u*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 21 (b) -4 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -223, -370, -555, -790?\n\"Answer: -2*j**3 - j**2 - 104*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5507, -5506, -5505, -5504?\n\"Answer: a - 5508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 162. Let f be (-70)\/2*(-4)\/(-44) + 3. Let t = 3 - 1. Which is the closest to -1? (a) f (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -899 (base 10) to base 6\nAnswer: -4055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 - -3) - 0) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/3 - 560*m\/3 - 1653 = 0. Calculate m.\nAnswer: -551, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = y + p, -3*p + 33 = y - 7*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1126 (base 7) to base 10\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from ggsjggssdgdds.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 211?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51949869?\nAnswer: 3, 17316623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26*c**2 + c - 1. Let z = -8803 - -8804. Calculate l(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 0 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 8*w - 28. Let q be (9\/(-6))\/((-30)\/80). Let o be r(q). Let i be -13 - 1*2\/2. Is i < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 19*n**2 + 34*n + 30. Determine p(17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/19 (b) 3 (c) 2 (d) -2\/9 (e) -3 (f) -0.93 (g) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1605*a**2 - 1590*a + 9. Let b(k) = -7*k - 1. Let s(f) = 3*b(f) + w(f). Determine p so that s(p) = 0.\nAnswer: 2\/535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45a7 + -3657?\nAnswer: c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 65. Put -5, p, 1, 38 in decreasing order.\nAnswer: 38, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - j + 13, 4*j = -4*a + 2*j + 14. Suppose a = -t + 2. Let z be (-10)\/15 - t\/6. Put -3, -1, z in increasing order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-2 - 1 + 1)*(-1 - 3 + 3)*(w + 0*w - 3*w)*(0*w**3 - w**3 + 3*w**3)*(620 + 3272 + 1304).\nAnswer: 83136*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 19*y**2 + 50*y + 10. Suppose -59*n + 332 - 1276 = 0. Calculate u(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, -0.5, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 14. Let q be d(-9). Let o be ((-22)\/(-5) - 4)*q. Let a be o\/(1 + 33\/(-27)). Is 11 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**36)**(1\/24) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2700) - -1*sqrt(2700)) - sqrt(2700))\/((sqrt(9) + sqrt(441)*-4)*1).\nAnswer: 130*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 30*j**3 + 15*j**4 - 140*j**2 + 120*j + 1621*j**5 + 1611*j**5 - 3237*j**5 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8)*l**(2\/5))\/(l**8*l**(-4)\/l) assuming l is positive.\nAnswer: l**(-109\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 303 = 4*y, 4*y = -489*c + 493*c - 264. Solve -c = -15*b - 108 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + l)*(-6 + 1 + 4) + 5*l + 17*l + l + (-1 + 1 - 2)*(0 + 2 + 0)*(-l - 2 + 2)*(-17 + 4 + 7) in the form i*l + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - h - 7 = -0*h, -5*m = h - 17. Suppose 7 = 3*s - 2. Calculate the remainder when m is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 19323.8\nAnswer: -19323.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Suppose -4*r + 336 = 4*h + r, -4*h - v*r + 340 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 3, v: 1, c: 4, s: 1, n: 1, g: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by (5\/(-4))\/5*-372.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 7 + 45. Let d = -17 + l. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6050 - 27*p**2 + 6047 + 6046 - 18143.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133749 + 31263 = -31*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 + 8)*(31*l + 13*l - 10*l)*(3*l**2 - 2*l**2 + 2*l**2).\nAnswer: 1836*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 97636153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6010644683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*15\/(-250) + 2278\/340?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in -0.2, 1.1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -210552 * -6\nAnswer: 1263312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 985724167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2936*a**3*y - 225*a**3 + 1 with respect to y.\nAnswer: -2936*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 30. Let b be 24\/10 + (-2)\/5. Suppose -b*w - 2 = -y. What is the lowest common multiple of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 2*g + 0*g)*(0 - 2 + 0 + 5 + 0 - 3 + (-2 + 3 + 0)*(-1 - 1 + 0) + 0 + 0 + 2 + 2 + 0 + 0) as y + w*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*h = 0, -3*d = h + 2*h - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 4. Suppose -5*b + j = 7. Factor -3*q - q**b + 7*q - 4*q**2 + 4 - 3*q**3.\nAnswer: -4*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 + 788*h**2 + 436*h - 1338. Calculate p(-112).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*l + 225, 480 = 15*z - 13*z - 4*l. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1ad?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*t = 2*t + 30, -v - 3*t + 6 = 0. Solve -z = -5*o - 12, -z - 3*z - o = v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4142, 16383, 36716, 65135, 101634, 146207, 198848?\n\"Answer: -m**3 + 4052*m**2 + 92*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -0.944?\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187 + j**2 + 63 - 181 + (-2 + 2 - 3*j)*(4*j - 4*j - 4*j) to m*j + y*j**2 + c and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 1. Suppose a - l*a + 6 = 0. Find the second derivative of -a*j**2 - 4*j + j**2 - 2*j + 8*j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 141*q**2 + 253*q - 2411. What are the prime factors of g(10)?\nAnswer: 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1161, -603, -45, 513?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 1551182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4456 + -4432. What is the lowest common multiple of 114 and m?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 6 - 6. Let h be (9\/12)\/(21\/56). Let r(j) = -66*j**2 + 134*j**h - 65*j**2. Calculate b(r(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 108 = -24*y. Suppose 74 + 76 = 5*s. Calculate the least common multiple of y and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1205379 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 163559567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**2. Let q(d) = 24*d**2. Calculate i(q(s)).\nAnswer: -10944*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1638 and 1\/637?\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16894837*i**4 - 2*i - 722672?\nAnswer: -202738044*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (5 - 8))*1\/10. What is the smallest value in f, -5\/8, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 406, 397, 384, 367?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -8, -3, 164, -4 in ascending order.\nAnswer: -8, -4, -3, 53, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -3 + 0*d + 2\/3*d**3 + 0*d**2. Let q(h) = -h - 4. Let p(x) = -x - 1. Let a(j) = -4*p(j) + q(j). Give a(z(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/6 + l**3\/3 + 2*l**2. Let c be a(-2). Let f(v) = 2*v - 5. What are the prime factors of f(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*h - 10, -2*h + 20 = 3*h + 4*i. Let z = h - -2. What is the first derivative of -2*n**4 + z + 1 - 2 wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 - 7*s**3 + 2*s**2 + 2*s - 4 + 8*s**3 - 2*s**2 as m*s + r*s**4 + n*s**3 + b*s**2 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w**2 + 2770*w - 2770*w)*(-256*w + 60*w - 55*w - 24*w).\nAnswer: -9075*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-608)\/48)\/(-38)*5\/(110\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -101974762 less than -101974759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/540)\/(2424\/(-5454) + (-1)\/(72\/(-14)))?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/43148 and -5\/9246?\nAnswer: 129444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (24\/(-30))\/(21\/(-150)) and (-1)\/((-618)\/4)*18.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/8 - (717\/36 - -1) and 15\/11 + 1 + 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddhdxhhxxhhhxhh. What is prob of picking 4 x?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m*m*m**(-3\/2))\/m))**38 assuming m is positive.\nAnswer: m**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 335532697 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*c + 3*m + 2, -2*m = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575487744.\nAnswer: 2, 3, 13, 57641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a factor of 17361226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 4*x - 9*x + x + x + x**3. Let s(w) = 3*w**2. Determine h(s(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 25, 213\/32, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*s = 0, -8 = 2*a - s - 0*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-4*3*sqrt(9)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987327?\nAnswer: 3, 11, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-30))\/((-1)\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16406*c - 16432*c - 104 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 660*b + 657*b - 34, -6 = -3*b for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131514639*u**5 - 1011*u + 37848.\nAnswer: 2630292780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001504378 rounded to seven decimal places?\nAnswer: -0.0001504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*u - 3*z - 1, 4*z - 1 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1935 and 6450?\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 - 23*q**2 - 157*q - 581. Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 12*k - 7. Determine j(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29143 times -3?\nAnswer: 0.87429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13770262 and 2684?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2999.\nAnswer: 5\/2999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -28924.0706 to the nearest 100.\nAnswer: -28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -17. Let i be (w - -21)\/4*-6. Let p = 56 + i. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 2. Let w be p(3). Suppose 0 = 2*g - 7*g - 4*o - 45, 0 = g + 3*o + w. Let j = g - -12. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from qpbbqbqqpwbbhbph?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 10. Let t(q) = -8*q - 6. Let h(w) = 7*w + 5. Let g(s) = z*t(s) + 6*h(s). Let v be g(1). Solve 5*b + d = 5, -d - v*d = -2*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -214 + 211 + (3 - 7 - (0 + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 120. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 12. Let l be u(-8). Suppose l*m + m - 15 = 0. Differentiate -3*a**3 + 0*a**m + 0 - 2 with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.700526 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*18\/(-165))\/(18\/60*-2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yftbytyfgtgybgby. Give prob of picking 1 f and 3 b.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 3 (b) 67 (c) -2 (d) -0.5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -819.89 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357399203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (522\/(-132) + 4)*-4. Let a = 3 - 4. What is the closest to 0.1 in h, a, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 2*o - 2*o**3 + 0*o**3 + (-3 + 3 - 3*o)*(2*o**2 + 3 - 3).\nAnswer: -8*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 0*q - 19*q**2 + 16997994950 - 16997994950.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*u = -3, 0 = -4*n - u + 4 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6639 is divided by 1061.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 7. Calculate the remainder when b is divided by (7 - (-1 + 0\/6))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19548, 19542, 19532, 19518, 19500?\nAnswer: 19478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*z**4 - 18*c**2*z - 17*c**2 + 105*c*z**3 wrt z?\nAnswer: 24*c**2*z**2 + 630*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1205.32913 times -3?\nAnswer: 3615.98739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37361 is divided by 12451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -275, -163, -41, 97, 257, 445, 667?\n\"Answer: g**3 - g**2 + 108*g - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3835 and 2326960.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 17*s + 21. What is p(14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b60d3 (base 16) to base 7\nAnswer: 6224001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:23 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8283 by -3.\nAnswer: 2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 194)*(1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*o - 15 = 0, 1 = 3*b - o + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 27. Sort 2\/7, 2, h.\nAnswer: 2\/7, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.1, -5, 0.07, 16420?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -5, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from ggpgfmpppgqqpxggg?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*p**3 - 295*p**3 - 546*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 1196*k**3 + 2400*k + 193093*k**2 - 140*k**4 - 99785*k**2 - 96768*k**2 = 0. Calculate k.\nAnswer: 0, 1, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-14)\/(2*-1). Suppose -4*a + 2*v - 11 = -27, -a - 18 = p*v. Let f be a + (3\/(-2))\/3. What is the nearest to -1\/3 in f, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 299, 284, 251, 194, 107, -16, -181, -394?\n\"Answer: -j**3 - 3*j**2 + j + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s + 2. Let t = 8 + 8. Let b be -8*(1 - (-4)\/t). Is o(b) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -5 - 63\/(-12) - 1151\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:19 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, 56, 459, 1418, 3161?\n\"Answer: 38*x**3 - 64*x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -882*f**2*g**3 + 5555*f*g*z + 10129*g**3 + 7*g**2*z + g**2 - 2*z - 21 wrt f?\nAnswer: -1764*f*g**3 + 5555*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 7, u: 3}. Give prob of picking 3 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*x + 5*x + 2 - 9*x + 28*x.\nAnswer: 84*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 4.03. Suppose 0*y + 4*y + 16 = 0. Let u = -1 + y. What is the third biggest value in z, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*o**4 + 9*o**3 - 17315*o**2 wrt o?\nAnswer: -6648*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -879844*b**3 - 447968164*b**2 - 64936736*b - 2353616 = 0.\nAnswer: -509, -34\/469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*k)*(-2 + 2 - 2) - 4*k + 10*k - 2*k + 8 - 8 + 2*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71938\/35 or -2055?\nAnswer: -2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvl when three letters picked without replacement from yqxvvllvuqvu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18443342 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from iwkddii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from {y: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -41.4. Let s = -2\/13 + 17\/26. Put s, b, -1 in ascending order.\nAnswer: -1, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + (-26)\/806 + 2001\/(-1395)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 = 3*t - 3, -16 = -3*t - 4*c. Let i(j) be the first derivative of j**4\/4 - j**3\/3 + j**2\/2 - 4*j + 592. What is i(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*n + 0)*(3 - 3 + 4) - 2*n + 2*n + n)*(-11*n**2 - 4 + 4).\nAnswer: -99*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2*t - t)*(0*t**3 - t**3 - t**3 + (1 + t**3 - 1)*(-4 + 2 + 3) - 2*t**3 + 6*t**2 - 6*t**2) as u*t**4 + l*t**2 + f + k*t**3 + z*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -341456.3 rounded to the nearest 1000?\nAnswer: -341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1184\/444 + 4\/3. Let j(d) be the third derivative of -1\/9*d**l - 1\/180*d**6 + 0 - 1\/18*d**5 + 0*d**3 + 0*d - 2*d**2. Let j(m) = 0. Calculate m.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1462287211 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 7295*l - 50910. Give y(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -25\/7. Let p = -2\/7 - 3\/14. What is the second biggest value in p, -3, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31640867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 + 0*h**2)*(3 + 6 - 4)*(6*h - h - 3*h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 6 + 36 + 179*z**2 - 19 + 2*z in the form m + k*z + g*z**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - o**2 + 12*o**2 + 60 + 56.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/153594 and 47\/276?\nAnswer: 307188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5 = 13. Suppose 0 = 5*m + 3 - 23. Find k such that -1\/2*k**m - 1\/2*k**3 + 0 + 0*k + 0*k**h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117635 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**8\/168 + 5*y**4\/12 - 3*y**2 - 17. Let z(m) be the second derivative of s(m). What is the second derivative of z(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 4, 36, 88, 166, 276, 424?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-18)))\/o)\/((o\/(o**(-9)*o*o))\/o))\/((o*o\/o**(2\/45))\/o*o)**(-5\/2) assuming o is positive.\nAnswer: o**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8108.55768 and 0.4.\nAnswer: 8108.95768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/3 (b) 5 (c) 0.46 (d) -11 (e) 4 (f) -1\/226\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*o = -6, -71 = -2*o - 67 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/5, 4\/5, 75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b - 3. Suppose -21*a + 19*a - 5 = -1. What is z(a)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*10\/(-90)*-9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*j**2 + 154822 - 33*j**3 + 2*j**3 - 154822 - 46*j**2 in the form z*j**3 + d*j + l + o*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/(-5) - 28\/70. Let b be (-3)\/x - (-200)\/32. Let t(a) = -a**3 + 5*a**2 + 8*a - 5. What is the units digit of t(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*a - 7*a + 10, -2*r + 21 = 5*a. Let m be (-5)\/(-2)*6\/a. What is the second derivative of -13 - m*i + 13 - 3*i**3 wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -87*((-8)\/24 - -10) - 1. Which is greater: -827 or r?\nAnswer: -827","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11\/((-2310)\/40).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 36. Let c be s(-12). Suppose 3*i - 10 - 7 = -w, c = -w + i - 3. Let v be (-168)\/(-91) - w\/(-13). Solve 2*z + 0 - v = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let p = f - -5. Suppose -32 = -p*k + 12. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 4:45 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2670 and 1359030?\nAnswer: 1359030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-280))\/(6\/(-532))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 4*l - 164, 101 = -2*v - 4*l + 97. Calculate the least common multiple of 7196 and v.\nAnswer: 28784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 114. Let g(a) = 44*a + 4. Let u(x) = 75*x + 7. Let q(n) = 7*g(n) - 4*u(n). Calculate q(p(y)).\nAnswer: -8*y - 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-5 - -4)\/(1\/(-4)). Suppose -4*s + 3*h = 4, 5*s = -4*h - h - 40. Sort -1, j, s in descending order.\nAnswer: j, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 91 = 22. Suppose -5*f - y = -5*d + 4*d, 55 = 5*d + 5*f. Calculate the remainder when 37 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -31*o - 136. Let g(q) = q**2 + 4*q - 4. Let b be g(-6). Let t(f) = f**3 - 8*f**2 + f + 6. Calculate the remainder when n(-7) is divided by t(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -5 + 0\/1. Suppose 0 = -n - 3*f - 8, -3*n + 8 = d*n + 3*f. Solve 5*g + 1 = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s + 1. What is the units digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -26. Let h = j + 15. Suppose 0 = 4*x - h*x + 32. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1016388 times 0.234\nAnswer: 0.0237834792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c**2 - 2*c + 53. Let k(n) be the first derivative of n**3\/3 + 49. Let g(v) = -5*k(v) - l(v). Differentiate g(u) wrt u.\nAnswer: 14*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 898 + 961 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a + 0*a**3 - 1\/10*a**5 + 0*a**7 + 0 + 0*a**6 + 1\/336*a**8 + 0*a**4 - 4*a**2. Find the third derivative of q(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5505 divided by -5?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.178 + 0.17800311. What is g rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 9870602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 128*z**2 - 5059*z + 626372. Calculate p(127).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + 7*m**2. Let r be f(5). Let j = -6 + r. Solve 2*g - 4 = 0, -j*g = -3*x - 2*g - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) + (sqrt(108) + (sqrt(108) - sqrt(108)*-1))\/sqrt(9)) + sqrt(110)\/(((sqrt(30)*-1 - sqrt(30)) + sqrt(30) - sqrt(30))\/sqrt(3)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from {e: 9, w: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from gqgqmlpmuuluqu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88211.53 litres in millilitres?\nAnswer: 88211530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.365143 and -2\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -11, -19, -4, 2 in increasing order.\nAnswer: -19, -11, -9, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 13*p + 62. Is x(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0097293 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1198.04 - 1152. Let d = 46 - l. Which is the nearest to -4\/7? (a) d (b) -3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(448)\/sqrt(128) + sqrt(56))\/sqrt(8) + (5*(sqrt(112) + (sqrt(112) - (sqrt(112) + 1)) + 3))**2.\nAnswer: 1605*sqrt(7)\/4 + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 35 + 2403*f - 2297*f.\nAnswer: 106*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*o + p, 4*p = 2*o + 9 - 23. What is the remainder when 28 is divided by 5 - (o + -8 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10636371 and 27.\nAnswer: -287182017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -76*u**2 + 471*u. Determine i(4).\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 455 = -3*l, 5*a - 13 = 12. Let t = -92 + l. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqr when three letters picked without replacement from {q: 7, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/3876693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 725 + 15. Suppose -i - 3*i = -n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -70) + (-16)\/(-2) + -9. Sort -2, 5, -5, i in decreasing order.\nAnswer: i, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 + 20*u**2 - 9*u - 13. Let g(z) = -z**3 + z**2 - 1. Let d(m) = 4*g(m) + p(m). Does 54 divide d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101283 and 1607543.\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380*a + 18297 = 685*a - 175*a + 143*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, 137, 1486, 4071, 8294, 14557?\nAnswer: 23262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, j: 7, h: 2, b: 2, q: 4}. What is prob of sequence htb?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3232 + 2?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18633.93 millennia to centuries.\nAnswer: 186339.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-153)\/(-2))\/(26\/(-52)). Let q = 161 + f. Let l(v) = -1 - 8*v - 7*v**2 + 3*v**3 + 4 - 2*v**3. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -49, -75?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18. Let i(v) = -v - 18. Let a(l) = 2*f(l) + 3*i(l). Let r be a(-7). Is 293\/(r + 10\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (21 + -31)) + -7 + 1 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 - -257. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4873 - 11866 - 2285 + 403)*(-2 + 4 - 3)*(-3*c**2 + 0*c**2 - 2*c**3 + 4*c**2).\nAnswer: -37242*c**3 + 18621*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/15 (c) -85 (d) 1682 (e) 1\/3 (f) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 6 + 2*t + 5 + 0 + 23.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -320688, -320654, -320598, -320520, -320420?\n\"Answer: 11*y**2 + y - 320700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120212201201 (base 3) to base 9.\nAnswer: -525651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*h - 4*j, -10*h - 2*j + 0*j = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q + 0*q = 496. Solve -4*p - 12 = q*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/7480 and 23\/34.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 377873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*10\/5 - -1)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/(v*v\/((v\/v**(2\/25))\/v)*v)*v))\/v**(-1\/15))**(-31))**(-50))**46 assuming v is positive.\nAnswer: v**(459172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-3*o + 2*o - o) + (1 + 1 - 4)*(0 + 0 - 2 + (-1 - 2 + 1)*(0 + 2 + 0))*(61*o - 28*o - 28*o)*(0 + 0 - 5).\nAnswer: -298*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 268.815 and -61.\nAnswer: -16397.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2\/(-3)) + -3. Suppose x = -f + 2*f - 7. Suppose 331 = 4*b + 3*h, 3*b + 355 = f*b - 5*h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a (base 13) to base 6.\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x + 3. Let n be p(-6). Suppose 0 = -3*y + 5*m - 9, 0 = 7*y - n*y + 2*m - 14. Solve -4*f = -4*q, y*f - 5*q - 2 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103867.\nAnswer: 103867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v)\/v*v\/((v*v**11*v)\/v))**(-16\/7) assuming v is positive.\nAnswer: v**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10406 = 4*l - 2*p, -13*l + 15*l + 4*p - 5178 = 0. Calculate the highest common divisor of l and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**2. Let x(g) = g**2 - 4*g. Let b = 11 - 7. Let s(i) = 2*i**2 - 7*i. Let v(n) = b*s(n) - 7*x(n). What is r(v(k))?\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0*q**2 + 2*q + 1\/6*q**3 + 0*q**4 - 1\/20*q**5 + 0. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4495*g + 9002*g - 4509*g + 20*g**2.\nAnswer: 20*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 500?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -968*p + 9271*p - 6 + 5 + 2600*p + 1 - 2*p - 3*p + 3*p + (-p - 4*p + 3*p)*(2 + 0 + 0) + 2*p + 0*p + 0*p as c*p + n and give c.\nAnswer: 10899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2757755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.7. Let k = 0.648 + -0.058. Let f = 4.41 + k. Sort f, q, -1\/3.\nAnswer: -1\/3, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108211*p**3 - 19*p**2 - 5278999*p wrt p?\nAnswer: 649266*p - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2221 and 109\/6.\nAnswer: 13326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2395 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216, 149, 82, 15, -52?\n\"Answer: -67*b + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -860 bigger than -860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -41\/3. Let q = 0.5 + -0.1. Put q, s, -3 in increasing order.\nAnswer: -3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 8*p + 9. Let o be y(9). Is 13*(o + 3) + 1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -19) + -29 + -45\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146.8 - 147.2. What is the fourth biggest value in -1, -4, -9, b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d**2 - d + 2. Let z be k(2). Let i(x) = x**2 + 3*x - 4. Let g be i(z). Suppose g = -p - 2*p + 3. Which is greater: p or 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:04 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/5 + -1)*-5. Suppose 2*j + 4*l - 68 = -2*j, 5*l = -3*j + 41. Let x = j + s. Solve -x = d - 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20216.71 - -85.404667.\nAnswer: -20131.305333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -5*q**4 + 5645*q**3\/3 - 3515*q**2 + 1405*q + 1101. Suppose m(y) = 0. What is y?\nAnswer: 1\/4, 1, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 329038.\nAnswer: -1\/164519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*i + 1787, 4*i = -5*m - 6201 + 15104. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*k + 23. Suppose 0 = 2*y + y. Solve 3*f + 0 - k = y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/27 - (-84)\/27. Suppose -u*w + 1023 = 2*w - s, 0 = -3*w + 5*s + 605. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -6. Let y = t + -28. Suppose 3*d = -b + 14, -5*b = y*d - 2*b - 12. Let c(a) = -a**2 + 2*a + 4. Give c(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o*q**3 + 4567*o*q**2 + 142459167*o*q - 8*q**3 + 12*q**2 wrt q.\nAnswer: -36*o*q + 9134*o - 48*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859100.\nAnswer: 2, 3, 5, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 6*s - 7360 = 0. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2013 (base 6) to base 15\nAnswer: 1e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + 14110?\nAnswer: 14230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 6 = -20*h. Sort 32, -2, -4, h.\nAnswer: -4, h, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408) - -1*sqrt(408))\/sqrt(12))\/(sqrt(126)\/sqrt(7) + sqrt(2)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*r**3 - 431\/3*r**2 + 866\/3*r = 0. What is r?\nAnswer: -433, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*k + g, 2*k - 2*g = g - 30. What is the least common multiple of 48 and (-273)\/k - (-7)\/(-35)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3664 - 3.6336. Which is the nearest to 2\/7? (a) -168 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 16, 56, 122, 220, 356?\n\"Answer: f**3 + 4*f**2 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 0) + -2 + 1. Suppose c - 4*q = -1, -q = -v*c + 1 + 10. Calculate the highest common factor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 3*d)*(1 - 1 + 2)*(-18*d - 37*d + 4*d).\nAnswer: 306*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203933427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*m = -4 + 92, -3*i + m + 58 = 0. Calculate the least common multiple of 18 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -16. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29160 = -1150*m - 789*m + 2749*m for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 8*z + 22. Let j be p(-9). Let q(v) = -2*v**3 + 13*v**2 + 2*v + 13. Let a(t) = t**3 - 6*t**2 - t - 6. Determine j*a(u) + 6*q(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-2) - (2 - 8 - (7706 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:34 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-35)\/(-14)*57\/(-6). Let j = y - 80. Solve j = 5*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -278.6? (a) -0.08 (b) -3\/4 (c) 1 (d) 12 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, -23, -4.\nAnswer: -23, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -97.169 = -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*c - 98 + 400 + 278 = 0, -3*x + 31*x + 5*c = 715 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 22. Is 3 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156277206?\nAnswer: 2, 3, 8682067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1054 - 1027. What is the nearest to 8 in -2, 4, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = 2. Suppose 2 + f = 2*a. Suppose a*w + 3*w - 4*i = -6, -i + 4 = 0. Calculate the lowest common multiple of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12941, 52185, 117583, 209135, 326841, 470701?\n\"Answer: 13077*a**2 + 13*a - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q - 2*q = 10*q - 871290. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1363817395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 5 (b) 11 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247346 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/815, 6, 28, 11 in descending order.\nAnswer: 28, 11, 6, -3\/815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s. Let v be d(-2). Let t be (9\/6)\/(1\/v). Let w(c) = -c**3 - c**2 - 8*c + 1. Let f be w(-4). What is the highest common factor of f and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2604353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssshhhhsss. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476493?\nAnswer: 107, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -52. Suppose -57 = -6*n + j. Let u = 17 - n. Solve -12 = -2*l + l - 5*t, -2*t + 4 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22201313 (base 4) to base 11\nAnswer: 2a447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 123196963.6729 and 272.\nAnswer: 123197235.6729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6368 - 3243. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86181196553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let k = -48017 - -48016.7. Let f = 7.02 - 0.02. Which is the second biggest value? (a) f (b) k (c) -2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/2)\/(6\/(-3123)*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/7 - 562518*d\/7 - 39928696\/7 = 0 for d.\nAnswer: -281188, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 108. Let d = -22 + -45. Let z = d - r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*w + 101105, -2*w + 41990 = 4*s - 38904. List the prime factors of s.\nAnswer: 2, 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -2 (c) -7\/4 (d) -209 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/75 and 99\/104.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -11 (c) -19\/219 (d) 0.2 (e) 2 (f) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 84*x**2 + 3. Let m be o(-2). Suppose -f = -4*f + m. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -3.8. Let l = 7.4 - h. Let j = l + -0.4. What is the second smallest value in j, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2*g - 4*g)*(4 - 4 - g)*(4544 - 165 + 415 + 520) to the form h*g**2 + j + s*g and give h.\nAnswer: 15942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -77*z + 1458. Is o(-14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + c + 128 = 0, -q - 41 = -0*c - 2*c. Let l = q + 28. Let j(s) = s**3 + 7*s**2 - 7*s + 8. Let d be j(-8). Sort 5, l, d in decreasing order.\nAnswer: 5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let o be l(6). Let p(y) = 13*y + 11. Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136037 + -0.3.\nAnswer: -136037.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523 greater than 4526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 6602445*j + 99035550.\nAnswer: 5*(j + 15)*(j + 1320474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 5\/2, -0.14, -8, 0, 0.5, -1\/24?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36301 - -36303. What is the second smallest value in 5, m, 8\/333?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -4*f**3\/3 + f**2 + f - 2. Suppose -3 + 21 = 6*a. Let k(w) = 5*w**2 - 3*w. Give a*i(l) + 2*k(l).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 880 = 10*k. Let v = -111 - k. Is (-5)\/1 - (-148 - v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*q**2 + 12*q**2 + 42*q**2)*(-26*q + 24*q - 3*q**2 + 0*q**2).\nAnswer: -837*q**4 - 558*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851632740.\nAnswer: 2, 5, 11, 12961967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4, 5*a + 4*b + 7 + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 51*b + 14. Let t be s(-40). Suppose -k + p = -1223, 5*p = -3*k + 3*p + t. Calculate the highest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3\/3 + 7*m**2 - 2*m - 64. Suppose -5*g + 3*g - 14 = 0. Let p be j(g). Let r(i) = -2*i**3 - i**2 + 2*i - 1. Give r(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, -32\/19, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 = -3*k - 94. Let g be (-3)\/(6\/324*-2). Let y = g - k. Which is the second biggest value? (a) y (b) 3 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.82 - 0.18. Let r = d - -9. Let l = 0 + 1. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 578*h**3 - 4*h - 5. Let m(n) = 1158*n**3 - 10*n - 12. Calculate 2*m(i) - 5*p(i).\nAnswer: -574*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (-11)\/(-2))*8. Let m be ((-30)\/a)\/((-6)\/(-8)). Let u(g) = 2*g**3 + 2 - g**3 - g + 0*g**3 + 0*g**3 - m*g**2. Calculate u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 50\/9*k**3 + 16\/9 + 20\/3*k**2 = 0. What is k?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 77, 212, 463, 866, 1457, 2272?\nAnswer: 3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 7. Let l(c) be the third derivative of c**4\/4 - 6*c**3 + 1109*c**2 - 2. Let f be (12\/8)\/((-1)\/(-14)). What is f*i(t) - 4*l(t)?\nAnswer: -3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36886?\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 2. Let k(w) = 973*w**2 + 695*w + 278. Calculate k(j) - 139*o(j).\nAnswer: 973*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -10 - 0 - 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 19*s**2 - 18*s + 5. Calculate x(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 30*q - 111. Let c be h(-27). Put 1, 8, 5, c in increasing order.\nAnswer: c, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, -6, 5 in decreasing order.\nAnswer: 5, -6, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Let p(r) = 32*r + r**2 - 4*r**2 - 5*r**2 + 32. Let j(h) = 11 + 2 - 19 - h - 1 + 6. Let s(k) = 96*j(k) + 3*p(k). Determine s(c(u)).\nAnswer: -96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(704) + 1)**2 + 3)*1.\nAnswer: 16*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -36053?\nAnswer: -36051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o - 16 = 0. Let b(y) = y - 1. Let c = -4 - -10. Let x be b(c). Solve o = -k + x*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 27407\/17835 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, -71, -2, -54.1, -0.028?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) + sqrt(684) + 1)*-1)**2 - sqrt(684).\nAnswer: 6*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 81. Let k = -6893 - -34897\/5. Let f = k + q. Is f equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 17, -2\/5, 0.5 in decreasing order.\nAnswer: 17, 0.5, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*d + 42*d + 28922. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 1)*(-1 + 3 + 0) + 2 - 3 + 3)*(-2*y - 2*y**2 + 2*y)*(y**2 + y**2 - 5*y**2) to the form m + k*y**4 + j*y + n*y**3 + t*y**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(-8*v + 8*v - 4*v**3)*(3 - 5 - 1).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.751?\nAnswer: -0.3004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 1876.34625065?\nAnswer: 1868.34625065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (0 + -16 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*t - 17*t + 81*t + t + 4*t - 3*t + (-2 + 2 - 5*t)*(-4 - 18 + 2) to s*t + q and give s.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 84*b**3 + 1971*b**2 + 14944*b + 13056.\nAnswer: (b + 1)*(b + 16)**2*(b + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 467*d**3 - d**2 + 9*d - 26. Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 12*i + 4. Suppose 5*b + 29 + 16 = 0. Let u be d(b). Let z = u - -70. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1914 - -1362. What is k rounded to the nearest ten?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + -58 - -33.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1594762460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 180. Let v = j - 97. Which is the closest to v? (a) -1\/4 (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/396)\/(2\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w. Suppose -4*f + 4*s + 4 = 16, -4*f = 4*s - 12. What is the second derivative of w*c**4 - c**5 + 2*c + f*c**4 wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233 and 0.3?\nAnswer: -69.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120, -119, -118?\n\"Answer: u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 3*x**2 + 18*x**2 - 9*x**2 + 3. Let l(o) = o**3 - 3*o**2 + 3*o - 3. Let s be l(3). What is the units digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + 4 + (sqrt(1088) - (-4 + 0 + sqrt(1088) + sqrt(1088)) - sqrt(1088)) + sqrt(1088) + -2)**2.\nAnswer: -16*sqrt(17) + 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from weeeeyww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-5)\/15 + (-27)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/9 in 2\/53, -2\/5, 13\/7?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643157?\nAnswer: 31, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7866800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t + 0 + 1\/15*t**5 + 0*t**3 + 9*t**2 - 1\/6*t**4. Factor j(x).\nAnswer: 4*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 62.6. Which is the second smallest value? (a) -3 (b) y (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*x**2 + (-11*x - 22*x + 14*x)*(-1 - x + 1))*(-10*x - 3*x + 0*x).\nAnswer: -208*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 3*p**2 - 2*p. Let z(g) = -6*g**3 + 10*g**2 + 7*g + 1. Let s(v) = -59*v + 3719. Let k be s(63). Determine k*z(d) + 7*y(d).\nAnswer: 2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 0*q**3 + q**3 - 5 in the form j + v*q + l*q**2 + t*q**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 595123\/23 + -25875. What is the biggest value in -2, -42, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -873606 - -2202244. Suppose -271 = -2*f - 267. Suppose -a - 1011362 = -f*r. Round r to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/4)\/i)\/i)\/i**(2\/7))\/(i**1\/((i*i**(-1\/3))\/i*i)) assuming i is positive.\nAnswer: i**(-199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**(-5\/13)\/(n**(-1\/3)\/(n\/(n*n**(1\/2)))))\/(n**(2\/7)\/((n\/(n\/(n*n**(-5))))\/n))**(1\/7) assuming n is positive.\nAnswer: n**(-2543\/3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 8316.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 5*m + 6. Let f be g(6). Let u be (0\/(-7))\/(f + 2). Suppose -5*v - 10 = -4*j - u*j, -3*v + 31 = 5*j. Is j at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 2*i - 2*i + (-1 + 5 - 3)*(86*i + 131*i - 143*i).\nAnswer: 69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47\/9 - (-8)\/(-36). Let t(y) = -4*y**2 + 0*y**2 + 2 + y + 2*y**2 - 1. Let a(j) = -3*j**2 + j + 1. Determine m*t(h) - 3*a(h).\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861138439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 13*h + 4*h + 10*h**2 + 15*h**3 - 17*h.\nAnswer: 5*h**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/44 - (42\/8 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*i - 5*i - 14, 4*x + 2*i = -2. What is the tens digit of (-1149)\/x*(-12)\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1559 or -1561?\nAnswer: -1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089) - (sqrt(1089) - 2*sqrt(1089)) - sqrt(9))\/sqrt(3).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18953071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -0.05. Which is bigger: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + -1*sqrt(1372) + sqrt(1372))\/(4*sqrt(64) + sqrt(4))*-2)**2 + -4 + 5.\nAnswer: 317\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57831 and 4168?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021045 rounded to 5 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 9*s**2 - 13*s - 18. What is v(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + 2*q, 2*k - 4*k - 2 = 3*q. Suppose 3*c - 6 = -2*o, -3*c + 6 = -0*c. Let x = 9 + -4. Sort x, k, o in increasing order.\nAnswer: o, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185)\/(-10730) + 3*2870\/5220.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3392\/8961 or 1?\nAnswer: -3392\/8961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 2419?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 3*x**2 - x - 1. Let i be n(2). Let m be -2 + 2 + i + 2. Suppose -m*c = 2*c - 90. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94369*k - 3059 = 94141*k + 8341 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 2*s**2 + s**2 - s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let n(d) = -3*d + 2. Let f(x) = n(x) + o(x). Let p(w) = 114*w - 33. Let h(r) = -33*f(r) - 2*p(r). Let t(q) = -q**2 - 21*q. Give t(h(l)).\nAnswer: -9*l**2 - 63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**7\/168 + 41*m**6\/40 + 31*m**5\/20 - 29*m. Suppose i(a) = 0. Calculate a.\nAnswer: -1, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 9*r + 12. Let m be j(-5). Solve -3*f - m = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 13*d + 9. Is ((-1428)\/(-4) - -4) + (-4)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 4*g + 6. Let t be s(6). Let z be -3*(-4 + (-22)\/t). Which is the second smallest value? (a) 4 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-65)*((-6)\/(-4) + -1 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9864\/56718*(-46)\/(-344)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 - 1179599*p\/2 + 589800 = 0.\nAnswer: -1179600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-34)\/102)\/(3\/(-126)) and 664?\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 7*b + 4*g + 15 = 0, -b - 5*g - 26 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 480?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119.8 rounded to the nearest one hundred?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -10) + 42\/((-119)\/17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a minute in seconds?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Solve 0 = -p*k - 2*n + 1, -3*k - 1 = 4*n - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4*l**3\/3 + 7*l + 4. Differentiate u(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c. Let u(h) = 4*h - 27. Let l be u(7). Let v(d) = -17*d**2 + 8*d. Let w(t) = l*v(t) - 5*q(t). What is the second derivative of w(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 2*z + 1. Let h = -591 + 592. What is m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -o - 6*a, 7351*o - 7354*o - 48 = -3*a for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2. Suppose l + 5*u - 10 = -16, -5*l + 57 = -4*u. Determine i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 170, 140, 88, 8, -106, -260?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 49*o**2 - 573*o + 253. Calculate c(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 575 - 545. What is the remainder when 148 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 80. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 27. Is u 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 10 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -201010202200?\nAnswer: 201010202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2 + 20 = 0. Suppose 4*m + 160 + 112 = f, n*m - 756 = -3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1) - (0 + -6 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23094, -46189, -69282, -92373, -115462?\n\"Answer: y**2 - 23098*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 0*j - j**3 + j - 1 + 0. What is the units digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -6311, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36\/5 - -8. Let g = 6 + -7. Let r(s) = -s**3 + 7*s**2 + 7*s + 6. Let i be r(8). Which is the closest to i? (a) -0.1 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by (0\/(-5) - -6) + 1118\/13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = d + 2*d - 25, 3*l + 3*d = 21. Let b = 8 - l. Let w be 0 + (1 - b\/16). What is the third biggest value in w, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 398\/315 - 4\/63. Calculate the common denominator of l and -3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -28*o - 22*o + 12*o**2 - 24*o + 74*o. Let s(d) = 10*d**2. Determine b(s(i)).\nAnswer: 1200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 62*w\/3.\nAnswer: w*(w + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733573 a multiple of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, 0, -11 in descending order.\nAnswer: 0, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 11*c**2 + 2*c - 2*c**2 - 12 + 7*c**2. What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412015 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 2 + sqrt(605) - (sqrt(5) - (2 + -1 + sqrt(5))).\nAnswer: 3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = -290. Suppose s = 2*g - 30, 3*s + i = 4*g - 0*s. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + (46 - -2 - ((-4 - -24) + -18))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38688 divided by -4.\nAnswer: 9672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3579906 and 3579906?\nAnswer: 3579906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 14578175?\nAnswer: -14578189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7928, 7874, 7710, 7382, 6836?\n\"Answer: -9*k**3 - k**2 + 12*k + 7926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -94\/7, 2, 5?\nAnswer: -94\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 3*n - 3. Let d(h) = -7*h - 34. Let b be d(-4). Let v(m) = -m**2 + 5*m - 4. Let s be v(b). Let t = s + 66. Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1\/31, 2, 1, 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/24 + l**3\/6 + 5*l**2\/2 - 2*l. Let r(h) be the first derivative of o(h). Differentiate r(t) wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19663*y**2 + 32547*y?\nAnswer: 39326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1440\/7 and -207 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*1)\/(((-32)\/6)\/((-144)\/27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = -291 + 86. Let r(m) be the first derivative of -38*m**2 + 9*m + 4. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*y + 52 = 70, 2*y = 3*i - 76. Calculate the highest common factor of i and 3768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 20*m - 1302.\nAnswer: 2*(m - 31)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i + 4*b + 235, 3*i - 3*b = 147. Suppose 0 = -3*m - 11*m + 952. Let k = m - i. What is the remainder when 95 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16\/7, 4, 11991 in ascending order.\nAnswer: -3, -16\/7, 4, 11991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542222002 and 1204?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 3}. What is prob of sequence kddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62277994 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/20 + (-26)\/(-8). Let u = 2 - -1. Suppose d = m - 5*s, 2*s - u*s = -3*m + 26. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -3*d, 0*f + 5*f - 4*d = 5. Suppose 2 + 28 = 5*b. Calculate the smallest common multiple of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8969 to 2 decimal places.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22528078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361\/6 - -60. Which is the second biggest value? (a) -0.2 (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19 = -5*o + 3*n, -5*n = 4*o - 32. Let c be ((-6)\/15 + 108\/(-30))\/(-2). Suppose -32*b = -37*b - 5*p - 20, c*b + 13 = -3*p. Solve l + o = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.450918mg?\nAnswer: 0.000000001450918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {c: 2, k: 4, b: 7}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2, k: 2, b: 2}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3075601 by 1.\nAnswer: -3075601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 801?\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u - 462 = 0. Suppose -3*m + 0*b - b + u = 0, 4*m = 2*b + 202. What is the greatest common factor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 23. Let k(p) = -3*p - 33. Let r be k(-10). List the prime factors of (-2 + (-2 - r))*j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzgg when four letters picked without replacement from {q: 2, z: 7, g: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397.319567 + 393.31956554. Let u = -4 - v. Round u to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, n: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -9*o**5\/20 + o**4\/4 + 45*o**2\/2 + 10. Let z(u) be the second derivative of t(u). Factor z(q).\nAnswer: -3*q*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 994 - 987. Solve -c + 1 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a = -76*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213 (base 6) to base 9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -469 - -486. Solve -2*b - 19 + a = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:50 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*j - 43, 0*j - 5*o = -4*j + 27. Solve -2*u + j = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 65, -1\/23, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 15*t**2 + 8*t + 10. Let q = 8390 + -8404. Calculate l(q).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/5 (c) -3 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*q**(-6))**(3\/14)\/(q**(2\/9)\/((q*q\/(q*q\/(q*q\/q**(3\/5)))*q)\/q))**(-2\/17) assuming q is positive.\nAnswer: q**(-7627\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276779413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/1013 - -164134\/7091. Factor 296\/7*f + 32\/7 + 720\/7*f**2 + v*f**3.\nAnswer: 2*(f + 4)*(9*f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (60\/8 + 3)*(-448812)\/54. Round u to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(192)\/sqrt(72))\/(sqrt(24)\/(sqrt(3) + sqrt(12)\/sqrt(4))))**2 - (sqrt(36)\/sqrt(24) + sqrt(6) - sqrt(6))\/(5*sqrt(4)\/sqrt(2))).\nAnswer: -sqrt(3)\/5 + 8\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 11456.\nAnswer: 109\/11456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59161 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 - 53 + 4)*(4*m - 4*m - 2*m**2) + (-m + m + m)*(2 - 2 - 9*m) to the form u + y*m**2 + p*m and give y.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 23 = 5*y + g, -5*g + 19 = 3*y. Let x(z) = z**2 - 13*z + 11. What is x(y)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*v - 18*v + 36 - 15 + 0 - 21.\nAnswer: 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, 4\/5, 5, -3\/4, -2\/103?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9108*r**2*z - r**2 + 3*r + 2*z - 213 wrt z.\nAnswer: -9108*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -z + 5*r, -3*z - 3*r = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 2*m**2 - 3. Let v be r(-2). Solve 8 = -5*z + n + 36, 2*z = v*n + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -a - 3*a. What is the third derivative of -3*u**3 - 12*u**3 - 46*u**2 - 4*u**3 + 17*u**a wrt u?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110619 and 600813.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81503168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -1. Let m = 723 - 458. Let d = 265.2 - m. What is the third smallest value in d, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2 - -1db?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016 = -3*y - 1007 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 60*d + 75. Let h be v(31). Which is smaller: h or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26 - 22)*((-30)\/(-8))\/3. Suppose 4*u = 5*u + 2*p + 49598, -v*p + 5 = 0. What is u rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83985.07l?\nAnswer: 83985070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2425461, -2425457, -2425451, -2425443?\n\"Answer: m**2 + m - 2425463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 + (-42)\/24. Let s be 12\/14 - (-828)\/(-7728). Put s, u, -2\/9 in decreasing order.\nAnswer: s, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r - 22*r + 13*r + 6*r in the form o + u*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -6, 0.1, -3.\nAnswer: -6, -3, -4\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - 4) + -5 - (1 - 31). Let -c*g - 4 + 79*g - 37*g - 22*g - 3*g**2 = 0. Calculate g.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 + 7. Suppose 78 = k - 3*x, 3*x = 2*k + k - d. Is 9 a factor of ((-4)\/(-14) + (-1614)\/k)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 + -8) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q**2. Let c(j) = 135*j - 55. Suppose -30 = -5*l - 5*f, -f + 0*f = -4. Let u(y) = 5*y - 2. Let z(n) = l*c(n) - 55*u(n). Calculate z(s(w)).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -23. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 93584, 0.3, -1, -5\/2 in descending order.\nAnswer: 93584, 0.3, 1\/4, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 372598 greater than or equal to 372723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 10) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 1252*g**3\/3 + g**2 - 2198*g + 137. Find the first derivative of l(t) wrt t.\nAnswer: 2504*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, -12521 in decreasing order.\nAnswer: 23, 1, -12521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 - 93 = -112*d. Solve -2*l = z, z - l = -3*z + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 4*x + 4*x)*(5*x + 2*x - 6*x)*(8 + 2 - 1).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 2*y)*(-3*y + 75 - 75) - 39*y**2 + 47*y**2 - 74*y**2.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 19 = -23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.89 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - u**2 - u + 3*u**3 - 2*u**3 to the form t*u + c*u**3 + n*u**2 + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20514 + 0*m - 20583 - 6*m + 41096.\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14634 - -31297. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 58\/1645 (b) 0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b**2 - 8*b**5 - 5 + 0*b**3 + 12*b**5 - 19 - 32*b**3 + 28*b = 0. What is b?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/5 + 6984*n**3\/5 - 152508*n**2\/5 + 719856*n\/5 - 885504\/5 = 0 for n.\nAnswer: 2, 4, 16, 2306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/11)\/(v\/(v**(1\/4)*v))*v**14\/(v\/v**(4\/7)) assuming v is positive.\nAnswer: v**(4145\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 1598?\nAnswer: 1598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4146398 <= 4146381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 208035*q. Let f(r) = -125*r. What is u(f(v))?\nAnswer: -26004375*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 43*h**3 + 2*h**2 - 1. Let y be u(1). Let v = y + -41. What is the third derivative of 7*i**3 - 26*i**v + 8*i**3 + 15*i**3 - 10*i**2 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 2, x: 7}. What is prob of sequence jx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7888*k**3 + 0*k + 14366*k**3 + 0*k.\nAnswer: 22254*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001306 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 3833?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10185*z + 4725834. Give n(-464).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 760 and 988.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86122492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 25 and 51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101102101200 - -202?\nAnswer: 101102102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*x = 5*x - 33, -5*x = 5. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210112 divided by 14\nAnswer: -15008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -l + 4, -8 = -2*l - 5*s. Suppose 0 = t + t + l, 5*a - 3*t - 21 = 0. Factor 7*f + 1 + f - 6*f**2 - a.\nAnswer: -2*(f - 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 102*i**2 - 4 - 26*i**2 + 86*i**2.\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxx when three letters picked without replacement from {r: 1, s: 2, x: 4, d: 6, e: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 198.55.\nAnswer: 11.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1694 = -5*r - 461. Let f = 730 + r. Suppose s - 3*s = 3*v - f, -5*s = -3*v - 800. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33393966 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - h + 2*h + 4, 2*h = 0. Let u(s) = 7*s**2 + 10*s. Let f(p) = -3*p**2 - 5*p. Let j(k) = r*u(k) + 5*f(k). Give j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32591756 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34870\/33 + 1\/3. Suppose -o - 838 = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-11 - -4) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69.8483003 and -0.2.\nAnswer: 69.6483003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19877514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302535 divided by 2241.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/8 + -7\/8. Let w(k) be the first derivative of 0*k**3 + 1\/5*k**5 + 0*k**2 + 5 + 0*k - j*k**4. Suppose w(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -17. Differentiate -n*g**2 + 8*g - 8*g + 6 + 1 with respect to g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o**3 + 185 + 176 - 357.\nAnswer: -59*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 4, j: 1, p: 2, o: 2, r: 4}. Give prob of picking 2 p.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -40, -64, -90, -118, -148?\n\"Answer: -x**2 - 19*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(4235)*-5)\/((sqrt(77)*-2)\/sqrt(11) + sqrt(28)\/(sqrt(16)\/sqrt(4))).\nAnswer: 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2864)\/(-8055)*(0 - 1\/(4*(-5)\/100)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 365 + -3?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318 divided by 2830.\nAnswer: -159\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 7*r + 1. Suppose 9*d - 4*d = 4*a + 358, 0 = -3*d + 4*a + 210. Let i be d\/(-2)*((-18)\/6 + 2). Suppose 48 = i*f - 43*f. Calculate z(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 6*y - 4. Let u be t(-7). Let n(f) = -5*f + 3*f + u*f. Suppose 0 = -34*o + 31*o - 21. Let z(m) = m**2 - 3*m + 1. Determine o*n(g) - 2*z(g).\nAnswer: -2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11140\/4650285*1\/(-4930). Let o = -5574105753595477\/450429841698360 + l. Let t = -2\/24559 - o. Find the common denominator of -75\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h*h**(1\/7))\/((h\/(((h\/h**(-5))\/h)\/h))\/(h**(1\/2)*h))*((h**0*h)**(-2\/3))**(-1\/12) assuming h is positive.\nAnswer: h**(422\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28050395 + -12000410. Suppose 0*j + 3*q + c = 3*j, -26749985 = -5*j + 3*q. What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79534 or -79533?\nAnswer: -79533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 137*f - 958. Let b be z(7). Sort 4, -6, b, 2.\nAnswer: -6, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let q = -246 - -249. Suppose 190 = 22*n - q*n. Calculate the remainder when n is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 6*n**3 + 1324*n**2 - 1305*n**2 - 56 + 6*n + 5*n. Let d(j) = j**3 + 4*j**2 + 2*j - 11. Let u(b) = 11*d(b) - 2*f(b). Give u(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 17 = 3*q, 5*q + 2*f - 20 = -3*f. Suppose 2 - 92 = -q*c. List the prime factors of c.\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 15 and 845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k - 22*k)*(-k + 0 + 0 + (5*k - 3*k - k)*(-3 + 5 - 4) + 32*k - 30*k - 30*k) as g*k + c + r*k**2 and give r.\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 6*g**2 - 2*g + 3. What are the prime factors of v(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1779137.99954 + 1779111. Let x = 27 + r. Round x to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 4 (b) -3\/2 (c) 4\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756416 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/12)\/((-12)\/(-2)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 - 188719*n + 188719*n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02306 (b) -0.3 (c) 1\/5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 2) in base 15?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*t - 5, 0 = -4*q + 5*t - 5. Let u be ((-6)\/5)\/(2\/q). Solve -u*w = 4*f + 3, -3 = 3*w - f + 3*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k. Let p(h) = 5*h + h + 10*h - 3*h. Determine p(g(l)).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -4*c**5\/5 + c**4\/4 + 61*c**3\/6 + c**2\/2 + 295*c. Find the second derivative of i(w) wrt w.\nAnswer: -96*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(-2*i**2 - 2*i**2 + 2*i**2) - 663*i + 663*i - 29*i**2)*(-i**2 + i**2 - i**2)*(-1 + 1 - 2).\nAnswer: -66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070 - 939 = -65*v + 136 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (99\/66)\/(((-9)\/(-42108))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*k - 924*k = 50 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146.5741 + 147.5741016. Let o = 1 - y. What is o rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 11*x + 17. Suppose -4*t - 6 = -2*o + 14, 0 = 4*t + o + 20. Let m be s(t). Suppose -52 = -5*k - m. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13 and 28794454922799.\nAnswer: 28794454922798.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -3\/4*m**2 - 5\/16*m**3 - 3*m + 0 - 1\/32*m**4. Factor w(c).\nAnswer: -3*(c + 1)*(c + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*q*r**2*t + 38*l**2*q*t - 2*l**2*r*t + 6*l*q*r**2*t + l*q*r**2 - l*r**2 - 2*l*r*t wrt l?\nAnswer: 2*q*r**2*t + 76*q*t - 4*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y + 3. Let w be k(2). Let n be (104\/(-24) + 4)*-15. Suppose 0 = 11*s - 17*s. Solve s = w*j - 2 + n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(a + 2*a - 2*a)*(-10 - 2 - 3).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 0. Calculate the least common multiple of 11 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, 0.0471295, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 4*a**2 - 7*a - 2. Suppose -x - x + 30 = -4*v, -x + 10 = -v. Let t be z(v). Solve -s + 11 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -319113.\nAnswer: 319113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 723293 + -2?\nAnswer: 723291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 + 38 = -3*o, -3*q + 2*o - 46 = 0. Let c be 4*(-1 - (-33660)\/q). Let z = c + 84109\/10. What is the common denominator of z and 24\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 21*a + 9*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:07 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - 21*l**3 - 9*l**2 + 4*l**3 - 6*l**3 + 2*l**3 + 1.\nAnswer: -30*l**3 - 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 - 11*v - 7. Calculate w(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -440 + 357. Let f = -83.3 - l. Which is the fourth biggest value? (a) -0.1 (b) f (c) -0.4 (d) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.88 + 26.88. What is the biggest value in 2\/5, f, 0.0375, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281.3 + 285.3. What is the second biggest value in 3, 35, -0.1, s, 4\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45347554.\nAnswer: 2, 7, 149, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1927 + -1783. What is the remainder when 443 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 33210?\nAnswer: 33203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 22*m = 41*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9435*f**5*q**3 - 112*f**2*q**3 - f*q**3 - 1364131*f*q wrt f?\nAnswer: 188700*f**3*q**3 - 224*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21951 and 63143.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 - 7.87. Let p = -7 - y. What is the biggest value in 0, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -7949*s + 7920*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 - 221\/(-390) - (-204)\/(-935)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17029 = 92*w - 97*w, w + 7 = 0. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 23*d**2 + 42*d - 25. Let t be z(-19). Suppose -3*s + 2*l = -723, -4*s - 2*l + t = -329. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + -1) - sqrt(68)) + ((sqrt(612)*-2 + sqrt(612) - sqrt(612))*-2)**2 + sqrt(612) + -1.\nAnswer: 16*sqrt(17) + 9785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12057540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7320\/(-1320)*1\/(-30) and -129\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843688 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12866172 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.28. Let z = 8 - 7.5. Which is the biggest value? (a) 2 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2658691, 2658627, 2658521, 2658373, 2658183, 2657951, 2657677?\nAnswer: 2657361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -546, -61, -1, -33, 9, -5 in descending order.\nAnswer: 9, -1, -5, -33, -61, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108 - -1129. Calculate the remainder when 291 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 7*q. Let t be i(-7). Suppose -4 = n, t*b - 32 = -3*b + 5*n. Suppose 5*m - 26 = -b*r, -4 = -2*r + 2*m - 0*m. Solve r*x + 9 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.21 (b) -2\/15 (c) -3 (d) 4 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 20424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let r = 8 - o. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1344 - 752. Let a(x) = 593*x**2 - 11 - c*x**2 + 0. Give a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3042*u**2 + 3039*u**2 - 6080*u**2 + 2*u**3 + 100*u**4 + 3*u - 2 to a*u**2 + w + m*u**4 + b*u + r*u**3 and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18585 or -19567?\nAnswer: -19567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2428 and -39\/4?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -295*n + 290*n + 4*u, -u = -1 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -5*p, -28 = f + 4*p. What are the prime factors of (-1725)\/f - (2 + 11\/(-4))?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2567588761 to the nearest integer?\nAnswer: 50671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24925, 25014, 25161, 25366, 25629, 25950, 26329?\n\"Answer: 29*z**2 + 2*z + 24894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -160 (b) 0.089 (c) 0 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s**(-2\/7)\/s)\/s)\/s)*s)\/s)**40*(s\/(s*s**(-1\/2)))**23 assuming s is positive.\nAnswer: s**(2561\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2129c + -26?\nAnswer: 21276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, -1\/3, -5, 4 in decreasing order.\nAnswer: 4, 3, -1\/3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/2 + 8\/16. Let h = v + -13. Is -3 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkaa. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59436 and 13716?\nAnswer: 178308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:28 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*o - 5*f, 197*f - 17 + 77 = o + 227*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3031 - 3030.5. Which is the nearest to -0.1? (a) p (b) -82 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/4 - 19*p**3\/4 + 17*p**2\/4 + 19*p\/4 - 9\/2 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.6, -9, -0.4, 2.1, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -609, -1229, -1849, -2469, -3089?\n\"Answer: -620*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*m + 65 = 0, s + 2*s + 4*m + 46 = 0. Suppose z - 2*z + 26 = b, 4 = -z + 5*b. Let k = s + z. Solve -2*r - 3*u = 2*u + 23, r + u = -k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420.564, -0.1, 2\/31.\nAnswer: -0.1, 2\/31, 420.564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.01 - -0.01. What is the second smallest value in -2\/3, 2\/7, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-296)\/(-20))\/((-16)\/(-40)). What is the highest common factor of g and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 287 + -282. Solve -2*v = 5 + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -4*w - 1110. Suppose -3*c + 7 = 1. What is the units digit of w\/4 - c\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.269007ug in milligrams?\nAnswer: 0.002269007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 >= 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 1, 0, -4.\nAnswer: -45, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 16. Suppose -w + 2 = -f. Solve -4*x + w = 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 8*j - 3*q + 11, 77*j - 73*j = -2*q - 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4 = -u - f, 4*u = 2*f + 16. Solve -s + 18 = u*h, -4*h = -3*s + 8*s - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 707 divided by -18\nAnswer: -707\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + fa?\nAnswer: fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {k: 1, x: 4, h: 3, r: 8, v: 2, z: 2}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.3402 rounded to the nearest integer?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/62)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6119 + 15625. Calculate the greatest common divisor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-35) + (-3)\/(-21)*-4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:59 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446024 is divided by 89202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.53 * 4.4\nAnswer: 6.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/35? (a) 4 (b) 644 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 9. Let y be 3 + v\/(2 - -1). Solve -3*n - 5*k = 14, 4*n - 2*k + y = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 90430 and 6.5.\nAnswer: 90436.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g + 442. Let w be c(-46). What is the greatest common factor of 195 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 33 = 29. Find the common denominator of 53\/10 and (77\/660)\/(i\/76).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -32, -2, 3 in ascending order.\nAnswer: -32, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*v**4 + 1424273*v**3 - 20343541*v wrt v.\nAnswer: -216*v**2 + 8545638*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + a + 579, -7*x + a = -8*x + 189. What is the remainder when x is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3161 is divided by 399?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let v be g(7). Suppose -3*b + 50 = v. Calculate the highest common divisor of b and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1276003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11881682.118598+0.3\nAnswer: -11881681.818598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**3 - 93*f**3 + 47*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4182*k**3*l*p - 11*k**3*l - k**3*p - 3*k**2*l*p - 50*k**2*p + 57*k**2 wrt k.\nAnswer: -25092*l*p - 66*l - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 + 15*q + 1. Let l(h) = -h**3 + 3*h**2 - 16*h - 2. Let j = 19959 + -19962. Calculate j*l(s) - 4*x(s).\nAnswer: -s**3 - s**2 - 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 - 12*v**3 - 3*v + 8*v**3 to the form q + z*v + s*v**3 + g*v**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16 and ((-53)\/14)\/(6\/(-7)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75796*s**6 - 2*s**4 - 234*s**2 + 256 wrt s.\nAnswer: -9095520*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -t - 2*t. Suppose 4*j - t*j + 17 = o, 0 = j. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 468475 + 528?\nAnswer: 470114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s + 5. Let l be y(-5). Is l less than or equal to -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -54*b + 156. What is the smallest common multiple of x(2) and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11394 + 11341 - (34 + -1)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 896*d\/9 + 99200\/9.\nAnswer: 2*(d + 200)*(d + 248)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 1.2, 0.0801, 23?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 1, t: 3, a: 1}. What is prob of picking 1 j, 2 t, and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oipuuom. Give prob of sequence mp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.288789ng?\nAnswer: 0.000288789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.229949 + 1.23. Round o to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 2*u**2 - u. Let r(b) = 54*b**6 + 14*b**3 - 86*b**2 + 14*b. Let a(z) = 6*r(z) + 84*w(z). Find the third derivative of a(m) wrt m.\nAnswer: 38880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-276.196.\nAnswer: 138.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.396500192 rounded to four dps?\nAnswer: 2.3965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2986205*n**2*v**3 + 18*n**2*v**2 - 205*n**2*v + 6*n*v**4 + n*v**2 + 2*n*v + 5*v**2 wrt v.\nAnswer: 17917230*n**2 + 144*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -12, -38, -78, -132, -200, -282?\n\"Answer: -7*x**2 + 9*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, w: 1, y: 5, s: 6, e: 1, l: 3}. What is prob of picking 2 l and 1 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/260)\/(6\/(-15))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Solve u*z - 15 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 44148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10410022431 - 10?\nAnswer: -10410022441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - (-10)\/6. What is the second derivative of -2*m**3 + 4*m**3 - m**4 - 3*m - q*m**3 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 3*g**2 + 2*g - 1. Let x(s) = -s + 1. Let u be x(-1). Let a be b(u). Let k = -14 + 17. What is the nearest to a in k, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.3 - -85.3195. Let a = z - -0.0386. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.6888 - 68. Let g = -0.289 - w. Round g to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y = -5*f + 18, 4*y = 4*f. Solve 12 = -3*v, -5*r - f = -v - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.66.\nAnswer: -0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 17*a + 40*a**3 - 95*a**3 + 62*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*y**3*z - 11*y**2*z - 2*z - 121 with respect to y.\nAnswer: 66*y**2*z - 22*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wls. Give prob of picking 1 w and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 25328*w\/13 + 1348002\/13.\nAnswer: -2*(w - 12717)*(w + 53)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5470874.\nAnswer: 2, 2735437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 w when three letters picked without replacement from wfoiwiq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 61*x - 17*x + 127 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*x, -5 + 33 = 2*u - 4*x. Solve 1 = -25*g + u*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53348000 rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 - 4*k + 3. Is 6 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 0, 0 = -2*i + 3*k - 2*k - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -32. Let b = -6 + l. Suppose s = 3*s - 2*g - 72, 3*s + b*g = 124. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249165, 249771, 250783, 252201, 254025, 256255, 258891?\nAnswer: 261933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 3888 + 14*i + 3888.\nAnswer: -2*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**3 - 3*w + 73*w**2 + 76*w**2 - 153*w**2 + 1 - 10*w**3 + 7*w. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(2762 + 38). Suppose 0 = 10*k - 15*k + s. Is 56 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**2 - 7*w**2 - 2*w**5 + 2 - 13*w**5 - 2 + (-w**3 - w**3 + 4*w**3)*(-w**2 - w**2 + w**2) - 3*w**2 - 4*w**5 + 2*w**2 - 2*w**4 + 2*w**5.\nAnswer: -19*w**5 - 2*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98172137 is divided by 3949.\nAnswer: 3946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1. Let f(z) = 17*z**2 - 13*z**2 - 90336 + z + 90338. Give -2*f(t) + 2*w(t).\nAnswer: -8*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -194560 or -194606?\nAnswer: -194560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 4, -4, -5, 1, -5710 in increasing order.\nAnswer: -5710, -5, -4, -2, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 1. Let s = -1 - -4. Suppose 5 - 26 = s*v. What is the least common multiple of 8 and i(v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/43548 and -145\/1146?\nAnswer: 43548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3537 + 3537. Put -6, o, -4 in descending order.\nAnswer: o, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -11*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10624 (base 8) to base 16\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.1 + 39. What is the closest to -7 in 0, 3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o**4 + 444 - 444)*(0*o + 0*o - 11*o + (2 - 2 + 2*o)*(2 + 0 - 3) + 4*o + 2*o - 5*o).\nAnswer: -156*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/21 (b) 0.3 (c) 5 (d) 94\/7 (e) -2 (f) -2\/5 (g) -481\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 - 4*i - 3. Let x be g(-2). Which is the second biggest value? (a) 3 (b) x (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 + 0*g**4 - 7*g**4)*(2 + 0 + 0)*(-3*g + g - 2*g).\nAnswer: 32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + y)*(1 - 2 + 5).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-237) + (-475792)\/20698 + 11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/3)*l*l*l**3*l**(-3)*(l\/(l**(-2\/9)*l*l*l))\/l*l**0*(l**2\/l)\/l*(l\/(l\/(l\/(l**(2\/3)\/l))))**22 assuming l is positive.\nAnswer: l**(269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-26) + -5 + (8 - 3) + -4.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*n + 4, 6*t - 2*n = 5*t + 8. Suppose 6 = t*j - 0*j. Let r be (3\/2)\/((-3)\/4). Which is the smallest value? (a) -3 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.81 - -58.3. Let j = y + 0.51. Which is smaller: j or 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-8)\/204)\/(4\/(-12)). Put 4, 2\/11, -2\/7, x in descending order.\nAnswer: 4, 2\/11, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (-4 - (-4 - -1))) + -22 + 26 + -7?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 8 - 24. Solve -5*i = 3*d + 12, d + 2 = 3*i - n*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -15. Let g = 20 - u. Solve -12 = g*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + 1 - -5) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-3) - -1*4\/12. Solve -2*r - 2*r - 2*a = 20, -l*a = -3*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:52 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/4 + 13*a**3\/3 + 13*a**2\/2 + 19*a - 14. Let b be w(14). Let z = b + -3. Solve z*j + 10 = 2*o, 5 + 2 = 3*o + 5*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 125341, 125344, 125347, 125350?\n\"Answer: 3*x + 125338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(4 + -1*sqrt(1872)*-4)*-6)**2*-5.\nAnswer: -97096320 - 1244160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6940, -18.\nAnswer: -6940, -18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319 - 102. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/7 and -71\/675992.\nAnswer: 4731944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y. Suppose y*x = -5*x. Solve -3*r + x*r = b, 0 = 5*r + 4*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, 5, 0, -4, 82 in decreasing order.\nAnswer: 82, 5, 0, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276626\/5325 + -5183\/100. Calculate the common denominator of q and -59\/852.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**5\/40 - 5*l**4\/8 + l**3 - l + 70. Let c(a) be the first derivative of o(a). Suppose c(b) = 0. What is b?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(1*sqrt(2)*-3))\/(sqrt(1296) + sqrt(1296) + (sqrt(1296) - sqrt(1296)*3)*-4 + sqrt(1296) + sqrt(1296)).\nAnswer: -sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.020654 years to centuries.\nAnswer: 0.09020654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -12 + 4 + 19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/2 + 39*l. Let s(n) = -15*n**2. Give s(x(w)).\nAnswer: -135*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = y. Suppose -4*u + y*u + 4 = 0. Let z = 6.9 - 13.9. Is z less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249829 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:27 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 355479239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 + 3*t**2 + 4*t - 146. Let w(v) = 10*v**3 - 7*v**2 - 9*v + 291. Give 7*p(c) + 3*w(c).\nAnswer: 2*c**3 + c - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((3 + (sqrt(68) - -2*sqrt(68)) - (sqrt(68) - (5 + sqrt(68)*-2)))*1 + -3)*3)**2.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165 and 7223.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 1.9. Let x = 25182 - 25190. Sort x, y, 2 in decreasing order.\nAnswer: 2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -2, -5, -3 in descending order.\nAnswer: -1, -2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 17 = 11*u + 5*i, u - 2*i + 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32762065.35 to the nearest 100000.\nAnswer: -32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = 2*m, g - 3*g - 5*m = -16. Suppose -6*t = -g*t - 231. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -175, -223, -381, -703, -1243, -2055, -3193, -4711?\n\"Answer: -9*q**3 - q**2 + 18*q - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + q - 5 - 7 = 0, 0 = 3*x + 3*q - 18. Is (-13)\/x*(-20)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944*k**3 - 407*k**3 - 402*k**3.\nAnswer: 135*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 88, 86, 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1344231, 5 in descending order.\nAnswer: 12, 5, -1344231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3412 + -3409. Let l(x) = -x**3 + 7*x**2 - 6*x + 5. Let y be l(6). Suppose -3*h + 4*s + 22 = u*s, -y*h = s - 26. Solve -h*q + 2*q = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588759.7 centuries in decades?\nAnswer: 5887597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/44 and -37\/9772228.\nAnswer: 107494508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0858 - -0.064. Let k = 24.3218 + n. What is k rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 3 + 2\/1. Let s(g) = 3*g**3 - 2*g**2 + g + 2. Let d(x) = -7*x - 2. Calculate the least common multiple of s(f) and d(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10286033*-5.\nAnswer: 0.51430165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7418587030+-1012\nAnswer: -7418588042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7 - 8\/7*t - 2\/7*t**2.\nAnswer: -2*(t + 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 20*h + 43. Give g(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7056 = 2*w, -w - h = 2*h - 3550. Let x = 5405 - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddooooooo. What is prob of sequence do?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39742152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*h - 2 = 0, -5*h = 5*c - 80 + 10. Solve -3*o + c*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13547, -0.1, 2 in descending order.\nAnswer: 2, -0.1, -13547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3313592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.17, 2\/15, -4\/7, -5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.76048 * 2.\nAnswer: 3.52096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = 11. Let c(l) = l**3 - 7*l**2 + 5*l + 3. Let i be c(6). What is the smallest common multiple of 12 and (-3)\/d*(-4)\/i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25973 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**3 + 2 - 2 + 76*y**3.\nAnswer: 90*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/39267 and 133\/54?\nAnswer: 235602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126211, -126262, -126421, -126742, -127279, -128086?\n\"Answer: -9*s**3 + 12*s - 126214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3 in descending order.\nAnswer: -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6897, -4 in decreasing order.\nAnswer: 4, -4, -6897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v - 90 = 0. Let y be -15*9\/(v\/(-2)). Sort 1, -5, y in descending order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-1*sqrt(2) - sqrt(2)))**2*3.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662034481.\nAnswer: 31, 2311, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/135 - 53*f**5\/90 + 481*f**4\/54 - 269*f**3\/9 + 42*f**2 - 4595*f. Determine s so that g(s) = 0.\nAnswer: 1, 9, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -2\/7 (c) 28 (d) 1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**2 + l**6 + 81039*l**4 + 859 - 82533*l**4 + 0*l**2 - 2*l**6 wrt l.\nAnswer: -120*l**3 - 35856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let b be s\/(-8) + 170\/8. What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:09 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -2*m - 5*f, -m - 5*f + 621 = 2*m. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1825047, 1825050, 1825055, 1825062, 1825071?\n\"Answer: x**2 + 1825046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((75\/10)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -28 - (12*(-1)\/(-3) - (6 - 1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1742?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -9, -5, -1, 77 in ascending order.\nAnswer: -9, -5, -1, 33, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 22*j - p = 2902, 4*j - 3*p = -0*j - 358 for j.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20356 and 21056.\nAnswer: 15307712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1611*0.064\nAnswer: -103.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -2.8.\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let v(l) = -l**3 - 11*l**2 + 26*l + 2. Let o be v(-13). Let g(d) = 0 - o - 8*d + 2. Determine b(g(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26*(8*54\/(-288))\/(6\/2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + f - 2*f + 20, 4*f = 3*z + 35. Let j = z - -14. Solve -3*d = 4 + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3\/9*0. Suppose -5*n = -f*n - 320. Suppose 0 = -5*s - 4*t + 158, 0*s - 2*t = 2*s - n. What is the remainder when s is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 6. Let o(z) be the third derivative of -z**4\/24 + z**3\/3 + 11*z**2. Determine -7*o(c) - 2*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072768 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013828003.\nAnswer: 1013828003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -675126 - 436.75402?\nAnswer: -675562.75402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16342356733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1048500759*n**2 - 1162259702.\nAnswer: -2097001518*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -16 (b) -12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5143 + -8517. Let o = s + 7645. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let k(i) = -4*i. Let s(r) = k(r) - 5*q(r). Let p be s(2). Suppose -y = -p*y. Solve a = -3*a - t - 3, -2*a + 4*t + 12 = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8532421 millilitres to litres.\nAnswer: 0.0008532421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1*1) + -254. Suppose -6*h = -29*h + 8740. Let x = m + h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 21. What is the tens digit of o(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 53*w - 139. Let y be b(3). Solve 8*z = 7*z + 5*g + y, 24 = 3*z - 3*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 8. Let k(i) = i. Let u(y) = -2*k(y) + s(y). Suppose -4*f - 84 = -8*f. Suppose 0 = 2*j + p - 9, -3*j - j - p = -f. Give u(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8353 = -n - 2883, 5*t = -3*n + 18694. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.369595 millimeters?\nAnswer: 0.000008369595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {h: 2, d: 2, g: 2, w: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 3437.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, -1, 112, 3\/7, 0.3 in decreasing order.\nAnswer: 112, 8\/3, 3\/7, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 2*t**2 - t - 2. Let r be x(-3). Let g = -9329 - -9439. Calculate the greatest common divisor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*w + 9 + 4*w**2 - 16*w**2 - 20*w wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.39? (a) 0.61 (b) -0.4 (c) 4\/7 (d) -5 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 26088804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1330, 2662, 3994, 5326, 6658?\n\"Answer: 1332*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*c**2 + 5)*(1 - c**2 + 3*c**2 + 0*c**2).\nAnswer: -8*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -778209 less than 0.356?\nAnswer: 778209.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 40 = -u, 5*u + 2649 = x + 2669 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10528 = 2*c + 13168. Suppose 0 = -0*v + 4*v + 531392. Let o = v - c. What is o rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/2 - 2*g**2 + g. Suppose -u + 325 - 914 = 5*s, -4*s = -2*u + 460. Let i = 114 + s. Determine q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-56)*8*4\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -3*r + 5, 0 = -4*k - 4. Let m be (r - 3)*(-7)\/(28\/(-12)). Let b = -4 + -2. Put m, b, 0.2 in decreasing order.\nAnswer: 0.2, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 5813098\nAnswer: 1\/2906549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-4)\/8 - -6. Suppose -k*s = -2*s - 4. Is s at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y - 5. Let h be m(-4). Suppose -15 = -c + h. What is the remainder when c is divided by (25\/4 - 1030\/824)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4, -5*v = f - 2 - 9. Which is bigger: -13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -2\/5 (c) -1\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4218 + -4214. Solve j - 16 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71791 = o + 27253. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1650.7, -1\/10, 6 in increasing order.\nAnswer: -1650.7, -1\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -19*m + 24*m - 45, 0 = 2*m - 3*k - 18. Let t(l) = l**3 - 5*l**2 + 4. What is the lowest common multiple of m and t(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 + y**3 + y**3 + 0*y**3 + 40*y**2 + 0*y**3.\nAnswer: 2*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 11:29 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 + 0 + 7 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s**(-3\/16)*s*s**(-1\/7)\/s**(-14) assuming s is positive.\nAnswer: s**(1307\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.1. Let u = -2\/5 - 4\/15. Which is the biggest value? (a) u (b) 2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, x: 4, p: 4}. What is prob of sequence pppp?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*v + 10, 3*z = -17*v - 8*v + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*-10*36\/(-225)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 2385?\nAnswer: 16695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39963, -41297, -42631, -43965, -45299?\nAnswer: -46633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(78)\/(-1*sqrt(294)).\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216472163?\nAnswer: 31, 37, 188729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 30 = -21 - 33. What is the nearest to 9\/2 in -2\/5, -8, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1330*k**3*u - 6*k**2*u + 307*k*u - 2*k - 2*u wrt k.\nAnswer: -7980*k*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdmd when four letters picked without replacement from {m: 1, q: 5, d: 3, e: 1, z: 2, k: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v = 12. Find the common denominator of (1\/(-5))\/(28\/(-1030)) and v - (-1 - 174\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235257028?\nAnswer: 2, 58814257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 37*g + 53*g.\nAnswer: 95*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.3 + -0.082839?\nAnswer: 46.217161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 + 56*t**4 + 1548*t**3 + 12614*t**2 + 37877*t + 26754 = 0. What is t?\nAnswer: -7, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/(2750\/76)*(-22)\/(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 4*g + 4*g)*(-3*g**3 + 3*g**3 + 2*g**3) - 1373 - 74*g**4 + 1373 - 27*g + 33*g - 14*g**4 + 3*g as u*g**2 + n*g + t*g**4 + j*g**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - 5 - 11) - (7 + -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = 3*g, 6*c + 12 = 5*g + 4*c. Calculate the remainder when 11 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003672 to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5 - 7. Suppose 2*r + 4 = t. Let x be (5 + -4)*2\/(-8). Is r at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i**3 + 2*i**2 - i. Let c be s(1). Let k = c - -4. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) -32\/3 (c) 0.15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.93192 - 56.\nAnswer: -49.06808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9253718000 to the nearest 1000000.\nAnswer: -9254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 17. Suppose i + z = -3*i. Sort -5, -3, i in descending order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**4 - 31*a**5 + 3*a - 3*a + 25*a**5. Let l(h) = -11*h**5 + 7*h**4 - h**3. Let r be 1\/(2 + -1) - -2. Let s(b) = r*l(b) - 5*q(b). Factor s(j).\nAnswer: -3*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56080 = 7*i + b - 56107, 4*i - 42 = -5*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 divided by -14?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17557576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24*f**2. Let x(w) = -28*w. Determine k(x(o)).\nAnswer: 18816*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -4*a + 16*h + 4015, 0 = 4*a - 5*h - 4009. Calculate the remainder when a is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 18 + (13 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41 - ((-18)\/(-3))\/(-2). Suppose 5*w = -86 - m. Let u be (-24)\/(-10) - w\/(-65). Solve i - u*i - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 13.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11 = 2*w + 5, 3526 = 4*y - 3*w + 3480 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 708 and 71780.\nAnswer: 12705060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -43 - 83. What is the highest common divisor of u and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 3*d + 0*d)*(-12 + 7 + 10)*(3*d + d - 10*d) to the form i + p*d + y*d**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.7. Let q = y + -0.3. Which is the smallest value? (a) -0.2 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 138\/(-9) - ((-3)\/9 - -1 - 1). Let j be -3*(2\/6 - 1). Let h be a\/10 - (-23)\/j. What is the greatest common divisor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3993 + 207. Suppose 0 = -0*n + 5*n - a. Round n to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108334 + 108333 + 58028*u**3 - 216667.\nAnswer: 58028*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3655561 and 19\/9031386.\nAnswer: 153533562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 8. Let v be s(6). Suppose 7*l = v*l + 20. Suppose 4*r = 2*c - 8, -l*r - c = -3 - 1. What is r rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 248?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977474491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 241. Suppose 62*b - 57*b - 70 = 0. Is 2\/b - 393984\/v 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 2:05 PM and 8:33 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 + 1. Let s be q(0). Let l = 1.7 - 5.1. Let u = l - -3.4. Put u, s, -3 in decreasing order.\nAnswer: s, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 77. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 5. Put u, 1, 10, 0 in descending order.\nAnswer: 10, u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384729187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42702, 42690, 42678, 42666?\nAnswer: 42654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16670 to the nearest 100.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736 = 33*g + 2934 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162298 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/433 + -437\/866. Let x be (38\/8)\/((-11)\/2). Let z = x + 4\/11. What is the nearest to j in -3, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4282360 and 101\/10?\nAnswer: 4282360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -636 + 636. Let k(s) be the third derivative of -2*s**2 - 1\/3*s**3 + 0 + 1\/12*s**4 + q*s. Give k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - -14. Let i be 1 + 0 + (-2)\/(-2). Suppose -3*n = 4*g - 0*g - v, -3*g - 9 = -i*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*m + 2*l, -4*l + 1110749 = 1110733 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k - 3. Let b be z(-7). Let t be (-97 + 1698\/18)\/(2\/(-3)). Solve -4*y + b*d - 8 = 0, -4*y - d + 28 = t*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imrqiqrqiqvrridqqqiq. Give prob of sequence mr.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 177\nAnswer: 20\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45345 or -45619?\nAnswer: -45619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 98*u - 17 = 89*u, -4*j - 3*u + 11 = 0. What is the fifth biggest value in j, 7, 36\/65, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3 + 14. Suppose 4*n + t = r, 0 = -3*n - 1 - 8. Solve -2*c = c + 3*s - 21, -11 = 3*c - r*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1596374 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -444*f - 1334. Let r be i(-3). Let u = 1.7 + -2. Which is the closest to -1\/4? (a) -3 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let i = 27 - 24. Solve p*w + 6 = -4*b + 2*w, 0 = -i*b + 5*w + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*v - 3896 = 2*f, -2*f + 3*v = -2572. Let q be (-2)\/(-9) - f\/(-18). Let b = 9 - -9. Calculate the highest common factor of b and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(274344\/6035) - (120\/21)\/(-5).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 28*z**3 - 2*z**3 - 40*z**3.\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a + 3*i, -4*i - 4 = 2*a - 0*i. Let r(p) = -p**3 + p + 40. Let s be r(a). Suppose s = 5*l - l. Solve l = j + j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669016187.\nAnswer: 7, 641, 149101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105\/147*-7*-3 and 2673.\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.3. Let o be (-30)\/2700*27*(10\/(-85) - (-3914)\/34). Are z and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*g*h**2*o + 3*g*h*o + 2*g*o**2 - 12*h**2*o - 6*h*o**2 wrt g?\nAnswer: -41*h**2*o + 3*h*o + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*s - 25*s + 144 - 2*s**4 + 20*s**3 + 10*s**3 - 44*s**2 - 8*s**3 = 0. What is s?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/138 and 73\/506.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 102130?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000032722 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 17 = 2*i, 3*f = -4*i - 2 - 9. What is the first derivative of 0*j - 3*j + 3*j + i - 12*j**2 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 762274.8 meters?\nAnswer: 762274800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14983*v**6 - 3263*v**3 - 11*v**2 + 13764*v - 3 wrt v?\nAnswer: 1797960*v**3 - 19578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -26 + 11. Let k = -1 + 1. Solve k = i + 7 - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 1815, 3686, 7339, 13368, 22367, 34930, 51651?\nAnswer: 73124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -134373\nAnswer: 53749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2602432 - -10?\nAnswer: 2602442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((23\/(-46))\/(34\/(-68)))\/(15\/9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 7. Determine f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 19. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/12)\/((-3)\/40). Find the first derivative of 17*x**3 + 73 - 106 + y wrt x.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36\/11, -1, 4 in decreasing order.\nAnswer: 5, 4, 36\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -2 - (-1074 - -1184)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34233401 (base 7) in base 14?\nAnswer: -5792a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1410846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 u when four letters picked without replacement from gggggggguggggggggggg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -3 - ((-8 - 4) + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -2\/7 (c) -2.64 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-4 - h + 4) + 8054*h - 29 - 31 + 60 + 11566*h as i + k*h and give k.\nAnswer: 19621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose 10*k = 15*k + 2*q - 175, -4*k + 140 = -3*q. Suppose 11*g + k = 46*g. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-105)\/1)\/((-3)\/2). Let r be (8\/v)\/((-8)\/(-20)). Let h = 2.3 + 2.7. What is the closest to r in h, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227156380 a multiple of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*a + 69, 2*a = -4*i + 65 + 25. Let t be (-6)\/(-21) - 510\/i. Let p = 6 - t. Solve 7*j = 3*j - 2*w + p, -2*w = -j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 13*t - 26. Let s(b) = -2*b**2 - 13*b + 9. Let d be s(-6). Let p be q(d). What is y in 14*y - 12*y - 6*y + 10*y**2 - p*y**3 = 0?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 6. Let q(b) = -3*b - 2. Let g(k) = 7*q(k) + 2*u(k). Let c(d) = d. Let y be 14\/(-14) + 0 + 5. Calculate y*c(i) + g(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1675*p - 1675*p - 4*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-17.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**2*n**2 - 467*g**2 - 9*g*n - 2*g - 7476*n - 77 wrt n?\nAnswer: 16*g**2*n - 9*g - 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3766 + 0.0746. Let z = -1.38 - v. Round z to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76243763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133\/5 - -1591\/60. Sort 3, o, 1, 1\/6 in descending order.\nAnswer: 3, 1, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 215416.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15641 divided by 1\nAnswer: -15641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 6*y = -52. Let g(m) be the second derivative of 0 - 1\/21*m**y + 1\/42*m**6 - 9*m - 1\/14*m**2 - 1\/7*m**3 + 3\/70*m**5. Factor g(n).\nAnswer: (n - 1)*(n + 1)**2*(5*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/(3\/(-1248)*-4). What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**3 + 17*n**2 + 16*n - 25. What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374.729 - 1.771. Let l = -377 - f. Which is the second biggest value? (a) -28 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 41)*(2*n - 4*n + n)*((-3 + 3 + 3)*(n + 4*n - 3*n) + 0*n - 2*n + 4*n).\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from iaajatjttvajyya?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0695597 millennia?\nAnswer: 6.95597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l + 100. Let w = l + -9. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -0.13, 1, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2903802984 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05736 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 2*h**3\/33 + 19*h**2\/11 + 40. Factor w(x).\nAnswer: 2*x*(x + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvbbbbb. What is prob of picking 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*f**3 + 2*f**2 - 2*f**2 + 612*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 0*q**2 + 3*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -2*j - 3*l, -3*j = -j - 3*l - 227. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 9*n - 74 = 0. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2922718km to nanometers.\nAnswer: 292271800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27895031 divided by -2.\nAnswer: -27895031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose -f*x = -6*x + 256. Calculate the greatest common divisor of x and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -447849296 times -5\nAnswer: 2239246480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1911463769 rounded to three dps?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*b + 15015 = -255*b. Does 91 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325532035 (base 6) to base 11\nAnswer: 3353162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 2.6. Let m = 3404\/51 + 27\/17. Let u = -67 + m. Which is the smallest value? (a) x (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3789 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-202447)\/(-28921))\/((-2)\/(54\/(-7))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 365\/4 - 2571\/28. Let t = -0.3 + 0.1. What is the closest to -2\/9 in 0.1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -4. Let u(h) = -6*h**2 - 5*h - 5. Let g be u(t). Let b = g - -1982\/11. Do 1 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2802 + -0.35955. Let s = n + 0.086. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 - 6*o - 37. Calculate y(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/26880 - y**7\/3360 + y**6\/960 - y**5\/480 - y**4\/8 - y**2. Let h(p) be the second derivative of q(p). Factor h(t).\nAnswer: (t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18668 + 18698.8. Which is the nearest to 2? (a) 0.4 (b) -0.1 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 - 2*b - 1. Let r be h(-1). Let i = r - 5. Let u(q) = -2*q**3 - 2*q**2 - 3*q. Calculate the remainder when u(-2) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 818 + 460. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216248715 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3730*h*s - 8304*s wrt h.\nAnswer: -3730*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1136, -1017, -860, -647, -360, 19, 508, 1125?\n\"Answer: 3*z**3 + z**2 + 95*z - 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9763 or -1?\nAnswer: 9763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -6 - (-9 + (7 - -35) + -9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15562\/7 - -4979839\/2240. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1875, 1849, 1801, 1719, 1591?\n\"Answer: -2*l**3 + l**2 - 15*l + 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323 (base 4) to base 15.\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9448 or 217335\/23?\nAnswer: 9448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*g - 24 = 0. Suppose 0*u + 8 = g*u. Solve -4*w = -f + 12 - 0, f + u = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 22*l**2 - l - 1. Let d be a(-22). Suppose 2*y + 19 - d = 0. Solve -2*f + 3*f = -2*x, f = -3*x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g - 24*g + 6*g - 3*g + 12*g + (3*g - 3*g + 3*g)*(0 + 4 - 2) + 4*g - 2*g - 3*g)*(-5*g + g + 0*g) as w + j*g + c*g**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108826735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897234037?\nAnswer: 7, 41, 443, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 55 - 36 = -h + 41*c + 110, -c = 5*h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -846 + 862. What is the remainder when 692 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 736 - 255. What are the prime factors of t?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10058\/3? (a) 6 (b) 0.3 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 6*v**2 + 10*v + 9. Let l(q) = -q**3 - q**2 + q + 1. Let m(z) = 2*l(z) - u(z). What is the units digit of m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 56 = 14. Are -10 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-10))\/(n**(-4)*n) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 13290*m + 1393000\/3.\nAnswer: 2*(m - 19900)*(m - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 106 = -470. Suppose 26 = 3*d + 5*r, -3*d - 4*r + v = 2*d. Solve -5*j + 16 = -c, -3*c - d*j = 3*j - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25415 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 61 - 86 = 0. Let i = z - -266. Let d = 28 - 11. What is the greatest common divisor of i and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(2\/3))**(-12)*(h**5*h*h*h)\/(h\/(h*h*h**(-3)))*(h*h**(3\/2)*h)\/h**5 assuming h is positive.\nAnswer: h**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + 2*k - 2*k)*(-11427 - 18491 + 5235 - 17834 + 10147) in the form a*k**2 + h*k + c and give a.\nAnswer: -64740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b - b**2 - 1\/12*b**4 + 0*b**3 + 0. Let k(p) be the first derivative of 4*p**3\/3 - 1. Determine r(k(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mchcfcccpcmcmcmffc. Give prob of picking 1 m, 1 c, and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -129. Let d be (-15)\/(-200)*(-1628)\/w. Let u = -83\/4 + d. What is the nearest to u in 3\/5, -0.07, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z - 11*z + z**2 + (2 + 1 - 5)*(-2*z**2 - 3*z + 3*z) + (-7 + 2 + 3)*(-2*z**2 + 16*z**2 + 3*z**2) + z + z**2 - z.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -69, -81, -81, -63, -21, 51, 159, 309?\n\"Answer: d**3 - 19*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2020?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-99)*-6*(-6)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2368632131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvdvvvvdvvvvdvvvvv. What is prob of sequence dv?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11855920\/117 + 101332. Calculate the common denominator of -37\/54 and d.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -779162858 by -2.\nAnswer: 389581429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 152, 188, 240, 314, 416, 552, 728?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + u + 99 = 0, -177 = 3*x - 4*u - 477. Let v = 15 + x. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and 107\/3256?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 0*j = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c**5 + 10251*c**4 + 1035177*c**3 + 32695545*c**2 + 333522738*c - 138706896 = 0. What is c?\nAnswer: -31, 2\/5, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 294 + 616. Let x = 1164 + i. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 3*(sqrt(612) + (2*sqrt(612) - sqrt(612)) + 4 + 1))*3)**2.\nAnswer: 116640*sqrt(17) + 1816992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 564, -115, -1258, -2865, -4936, -7471?\n\"Answer: -232*l**2 + 17*l + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s + 10*s + 3*s**2)*(-16*s - 1 + 15*s - 1).\nAnswer: -3*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**2 - 11*g**2 - 3*g**2)*(-6*g - g + 0*g - 4*g + 2*g + 0*g + (6*g - 2*g - 2*g)*(2 - 4 + 0)).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, -3\/40, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2630\/25)\/(-2*(-4)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7))\/(19\/19).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -943.6 - 24?\nAnswer: -967.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3024*f + 1560382. Give n(516).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*z = 5*b + 4, 5*b - 2*z = -16. Sort 3, b, -1 in decreasing order.\nAnswer: 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 6. Calculate the common denominator of 23\/7 and (336\/22)\/p - 1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10262864 and 240?\nAnswer: 153942960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 439520883?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:59 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffefffffefffffef. What is prob of picking 2 f and 1 e?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzhoggb. Give prob of sequence pgb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*h + 18 = 0, 6*h = -5*k + h + 45. Let c(q) = 2*q - 3. Let z be c(3). Suppose -3 = b + 4*o + 3, 4 = -z*b - 5*o. Solve k = 4*u - b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26485 = 18*y - 71*y - 8200. Calculate the least common multiple of y and 110.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 102*m = 412 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 44. Suppose 0 = 5*v - 4*b - 4, 0 = -v + 3*b + 4 - 1. Suppose 1 = 3*y - z - 24, -4*z + 20 = v. What is the lowest common multiple of y and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -2\/7, -3\/5, 7\/39, 4\/3, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 343, 360, 389, 436, 507, 608, 745?\n\"Answer: r**3 + 10*r + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 3. Let d(b) = -4*b - 4. Let n(k) = 9*d(k) - 6*v(k). What is the first derivative of n(x) wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5880)\/(-252) - (3\/(-2) + (-323)\/(-114))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02737034 - -838\nAnswer: 838.02737034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 26 + 8 + -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*8\/16*25155\/2236?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 77*l + 696. Let p be r(-9). Solve p*o = x - o + 16, 0 = 2*x + 3*o - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -16147562.\nAnswer: -16147559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 307 = 99. Is j at most -94\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/47040 and -123\/560?\nAnswer: 47040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 11*l**2 - 8*l - 11. Let v be a(10). Suppose -v*r + r = -16. Let o be r*(3\/(-3) - 1). Let u(f) = f**2 + 3*f - 3. Determine u(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p**2 + p. Suppose 0 = -k + 4*g + g + 152, 2*g = -3*k + 405. Suppose 3 = 4*f - k. Calculate the remainder when f is divided by o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -250065379 + -5?\nAnswer: -250065384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 68051278.4 and -58?\nAnswer: 68051336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 less than 1287.611?\nAnswer: 1462.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:24 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1696 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(64)*2)\/(sqrt(22)\/((sqrt(1331) - (sqrt(1331) + sqrt(1331)*-1 + sqrt(1331))) + sqrt(1331))))**2.\nAnswer: 387200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.017 and -0.19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 15*q + 35. Suppose -q*g = -3*g - 176. Suppose 32 = 4*y - g. Solve 5*t = -6 - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20011202222 + -20?\nAnswer: -20011210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77661 is divided by 225.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 11*z**2 + 12*z + 2. Let o be p(10). Suppose 0*l = -2*l + j + 18, 3*l - o = 4*j. Let v = l - 13. Sort v, 5, -4.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 0*r**3 - 4 + 0*r**2 + 37\/5*r**5 + 33*r + 0*r**4. What is the first derivative of w(a) wrt a?\nAnswer: 148*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369\/476 - 25\/28. What is the fourth smallest value in -1, -1\/3, d, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 99 + 19 = 0. What is the remainder when 238 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from ecdnr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-2*4)\/(-5*sqrt(32)) + (-5 + ((-4 + sqrt(38)\/sqrt(2))**2 - sqrt(19)) - ((sqrt(931) + 0 - sqrt(931)) + -4*sqrt(57)\/sqrt(3))).\nAnswer: -23*sqrt(19)\/5 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1218759?\nAnswer: -1218754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/168*8)\/((-1)\/(-7)). Solve p*v = 5*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*1*sqrt(245))*-5.\nAnswer: 20 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6498018, 12996036, 19494054, 25992072, 32490090, 38988108?\nAnswer: 45486126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from {j: 2, s: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 60*i - 55*i - 193, -5*t + 4*i = -260. What is the remainder when 3135 is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*h - 2*j, -2*h - 3*j + 8 = -j. Let m(p) = 12*p**2 - 3*p - 3. Let q be m(h). What are the prime factors of ((-2)\/q*-3)\/((-7)\/(-868))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5309*h**2 + 13*h - 5177. Let b(d) = 3981*d**2 + 10*d - 3882. Let i(j) = 13*b(j) - 10*c(j). Differentiate i(l) wrt l.\nAnswer: -2674*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 3, a: 3, i: 13}. What is prob of picking 1 x, 1 p, and 2 i?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14253670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13376922 and 20562.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.306841 + 65858.\nAnswer: 65857.693159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/558*-45)\/(10\/(-112))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p - 2. Let m be v(-2). Suppose b = -m*g - g + 28, 5*g - 5*b = 40. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-6) + 18\/27. What is the third derivative of -66*z**3 - 19*z**2 - 288*z**p - 6*z + 3*z + 48*z**2 + 7*z wrt z?\nAnswer: -2124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260026 and 53430?\nAnswer: 3900390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 10. Let f(a) = a - 8. Let y be f(0). Let p be q(y). Put 4, p, 0.4 in increasing order.\nAnswer: p, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185191483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159976121.\nAnswer: 9883, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (15 + -10)) + 1 - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjofofoxofjoxoco. Give prob of sequence xjo.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 50300*p**2 = 0 for p.\nAnswer: -12575, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:18 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 478551800 rounded to the nearest 100000?\nAnswer: 478600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1943786 and 988.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + g + 9, b + 84*g = 83*g - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 3*o - 8 + 0*o**2 + 1\/2*o**4 + 0*o**3. What is the first derivative of t(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert be (base 16) to base 5.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c - 13*c + 37*c**2 - 42*c**2 + 12*c to r*c + g*c**2 + i and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 1\/3 (c) -160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o - 3. Let a be (-2 + 1)\/(5\/(-90)). Let l be (24\/(-16))\/(a\/(-24)). Calculate x(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749.21 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d**3 - 528*d - 8426. Let s(i) = 13*i**3 - 396*i - 6320. Let q(v) = -11*f(v) + 15*s(v). What is the derivative of q(b) wrt b?\nAnswer: -9*b**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 10*i + 50 + 1\/2*i**2. Calculate v(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203.8 and -3.\nAnswer: 611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 - -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/63, 3, -10831, 4?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 17, 27, 0.2, 1, -116\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:51 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let q(p) = p + 2. Let x(w) = -4 + 4 - 7*w + 3*w - 9. Let o(g) = -9*q(g) - 2*x(g). Determine c(o(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.298 - 0.238. Which is greater: 0.31 or f?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhrh. Give prob of picking 4 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-21 - -46) + -49?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2472812 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/4 + 2*w**3\/3 + 3*w**2\/2 - 2. Let t be y(3). Let z(x) = 3*x + x**3 - 4*x + 4 - 6 + 0*x**3. Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 548 = 4*f, 3*b - 206 = -3*f + 214. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b + 84*b**3 + 3*b**2 - 44 - 162*b**3 + 77*b**3. Let m be f(5). What is the closest to -0.1 in 3\/2, m, 4, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 161*c - 932. Let b be z(7). What is the highest common factor of b and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -796818.048 to the nearest ten.\nAnswer: -796820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*a + 102*a - 1 = 0. Let m(l) = l**2 + 3. Let h(r) = -r**2 + 1. Let s(c) = a*m(c) - 4*h(c). What is s(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - (-162)\/(-45) - 10. Sort -2, -11, 3, 5, v in descending order.\nAnswer: 5, 3, v, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 28034*z**2. Let y(a) = -2*a**2. Give y(u(g)).\nAnswer: -1571810312*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06361+899704779\nAnswer: 899704778.93639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4 - 240*f + 237*f + 0. Suppose 5*a = k + 29, 4*a - a = k + 19. Suppose 0 = n - a*n - 36. Let g(q) = -6*q + 9. What is n*s(c) + 4*g(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 13) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/319 + -3533\/2552. Find the common denominator of -67\/2 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k. Let u = k - -25. Let q be ((-10)\/u)\/((-2)\/(-10)). What is the third smallest value in -2\/9, q, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 z when three letters picked without replacement from izzaiitii.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10\/63 (b) 0.2 (c) -5\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 1. Let n be h(1). Let k = -56.8 + 96.9. Let o = k + -40. Which is the nearest to o? (a) 1 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2815, -2804, -2781, -2740, -2675, -2580?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + k**2 - k. Calculate y(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from jhziih.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9407 + 9405. What is the biggest value in -0.05141, -5, m?\nAnswer: -0.05141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-7)*g)*g\/g**(-2\/23)*g**(-1)\/g**(6\/11)*((g\/(g\/g**7))\/((g*(g\/g**(-2\/9))\/g)\/g))**(-6\/17) assuming g is positive.\nAnswer: g**(53539\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*k + 14 - 2, 23 = -p + 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - -9. Suppose -3*u + 28 = k. Let o be u\/(2 + -4) - 2. Calculate the highest common divisor of o and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/360 + u**5\/60 + 7*u**4\/24 - 22*u**3\/3 - 8. Let t(v) be the third derivative of h(v). What is t(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-11)*(47 - (-3972)\/(-84)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -903590 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpf when three letters picked without replacement from ftmvtpfffptfvmf?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(2\/((-1638)\/(-21)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 226*f**2 + 433*f - 6709. Calculate r(-228).\nAnswer: -1465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p - 2. Let o(a) = 53*a + 9. Let c(j) = 2*o(j) + 9*z(j). Let q(k) = -10*k**2. What is q(c(v))?\nAnswer: -1210*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + -28. Let f = d + 38.9999911. What is f rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -717*l**4\/8 - 1372*l**3\/3 + 9196*l**2. Differentiate w(c) wrt c.\nAnswer: -2151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0072944+24134708\nAnswer: 24134708.0072944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 480731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7\/12*r**4 + 27*r + 0*r**2 + 0*r**3 + 0. Let m(q) = -7*q**2. Calculate d(m(y)).\nAnswer: 343*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8462 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*l**2 - 420*l**2 + 284*l - 743*l + 211*l**2 to n*l**2 + u*l + g and give u.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 7*f - 9. Let y be l(-10). Let x = -167 - y. Suppose n = -n - 10. Sort 0, x, n.\nAnswer: n, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 366\/15*(-40)\/(-16). Let y = f - 7. Let d be (10\/(-45)*15)\/((-4)\/y). Solve 5*k + d = 5*r, 2*k + 3 - 9 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2719892 >= -2719890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/11, 4\/3117 in decreasing order.\nAnswer: 1\/11, 4\/3117, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4990 divided by -2495\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10452 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.2868t in micrograms?\nAnswer: 489286800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 7*r + 18. Calculate the lowest common multiple of 2 and b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 130, 429, 1012, 1975, 3414?\n\"Answer: 16*w**3 - 2*w**2 + 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**3 - h**2. Suppose -4*a - k - 3 = 6, -k = 5. What is j(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1 (c) 48608\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4447, -430.\nAnswer: -430, 3, 4447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72221469 and 51?\nAnswer: 1227764973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 146*l**3 - l**2 + 13*l - 33. What is the units digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 10*s**2 + 5*s - 95. Let b be n(8). Let v = b + -24. Calculate the smallest common multiple of v and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.9 take away 393.26031853?\nAnswer: -432.16031853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0612 - -4.9588. Let o = w - 5. Which is the third smallest value? (a) o (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and -5566421?\nAnswer: 38964.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3563240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(2 - 2 + 3*s)*(-2 + 0 + 0)*(2 - 1 + 2)*(-2 + 3 - 3) in the form u + i*s and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101221022 (base 4) to base 12.\nAnswer: 141636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240616 is divided by 812.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -829 (b) -1 (c) 0.01545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*p**2 - 463*p**2 + 2 - 23870*p - 213150*p.\nAnswer: -2*p**2 - 237020*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -23*y**5\/30 + y**4\/24 - y**2. Determine x(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o = -63*o - 1086. Let a = 358 + o. Let v(h) = h**2. Let g(b) = 3*b**2 - 2*b. Let u be 3\/1*1\/3. Give a*v(w) + u*g(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 7*t + 4. Suppose 5*j + 14 = -6. Let g be d(j). Suppose 3*v - 8 = -3*x - v, 5*x = -4*v + g. Solve -6*c + 7 = 2*h - c, x = 2*c - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/27 - 37\/135. Which is the second smallest value? (a) -2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/7, 4, -1, 1\/4, -0.0564?\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.981 meters to micrometers.\nAnswer: 88981000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (292\/44 + -7)*(-2310)\/560*(-4)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 244*z + 745 - 2941 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 2359.\nAnswer: 39\/2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 12*m + 3*n + 111 = -4*m, -5*m - n + 415 = 442 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142225648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 17*p**2 + 9*p - 28. List the prime factors of j(-10).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -41\/4. Which is the nearest to 2? (a) 4\/5 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 937816 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0 - 1 + 0 - 20*o + 17*o. Let u = 1 + -3. What is the units digit of m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/(-84)*(-59 - -57) - (-12)\/8.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2 + 319*y - 638. Calculate n(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 19*u**2 + 20*u. Suppose -5*c - 180 = 4*c. Let o be q(c). Solve o = -j - 2 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00995 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 256 = -26*r. Let l be -8 + 5 - 149\/(-1). Suppose 5*z - l = 14. Calculate the highest common factor of z and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -1. Suppose -5*p = -5*o + 40, 0 = l*o - 2*p - 3*p - 32. Let m(v) = 7*v**2 + v**3 + 3*v + 2 - 2*v - o + 1. Determine m(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 159. Suppose 3*q - 14 = 1. What is the lowest common multiple of -5 - i\/(-12) - (-7)\/2 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63728092 - 151.4336.\nAnswer: -63728243.4336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, -1\/2, -1 in increasing order.\nAnswer: -1, -1\/2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 155369690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 5*f = -5, -3*f - 11 = -4*i. What is the units digit of 2\/i - 1112\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -834750\/331 or -2523?\nAnswer: -2523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-111)\/(-9) + (-3)\/9. Suppose 3*v + t = -p, v = -v - p - 7. Which is the smallest value? (a) -2 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -461 - -455. Let l(h) = h**3 - 6*h**2 + 3*h - 7. Let u(g) = -g**3 + 5*g**2 - 3*g + 6. Calculate k*l(m) - 7*u(m).\nAnswer: m**3 + m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 614 + 283 = -249*n - 318 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1873621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0621 * -97\nAnswer: -6.0237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 2. Let w be 2\/(-9) - (-224)\/36. Suppose 0 = v - 4*q + 13, -3*q + 6 = -w. Let h be f(v). Solve -4*z + 15 = -h*a, -4*a + z = -0*z + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90856.19 millennia in centuries?\nAnswer: 908561.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**3 - 2*v**2 - 3*v - 1. What is the remainder when 75 is divided by n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 - c. Let x(q) = -q**2 + 7*q. Let o be x(5). Let g(j) = 9*j + 8*j**3 + o*j**2 - 4*j + 5*j. What is g(s) + 10*i(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j + 1505 = -63*j - 1945 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 95111 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1322743, -2645492, -3968245, -5291002, -6613763, -7936528, -9259297?\n\"Answer: -2*f**2 - 1322743*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 + 4)*(94 + 163 + 34)*(3*x + 4*x - 5*x + (3 + 2*x - 3)*(-3 - 1 + 5)) to f + y*x and give y.\nAnswer: 12804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/31 (b) -4 (c) -0.5 (d) 3 (e) -3\/14 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjh. What is prob of sequence rh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (1 - 1) - (-1302 - -1291)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:27 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -3, -1, -4 in decreasing order.\nAnswer: 27, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*q + 4*q - 3, -o + 2*q + 3 = 0. Suppose 6*z = 3*z + 11699982. Suppose -4*l = -l + o*m + z, 6500006 = -5*l + 3*m. Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*k + k - 4*q, -5*q = 20. Is 0 + 2 - (k + -74) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 6\/9 + (-247)\/(-39) - -98.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, -62, -44, -8, 52?\n\"Answer: s**3 - s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -964, -1519, -2074, -2629, -3184?\nAnswer: -3739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(500))**2*1 - ((2 + sqrt(720))**2 - (sqrt(5) - (5 + sqrt(180))**2)).\nAnswer: -420 - 167*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4373 times -0.3?\nAnswer: -0.13119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48412766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1\/2, 2, 1\/11, 3278 in increasing order.\nAnswer: -4, 1\/11, 1\/2, 2, 4, 3278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10701 - -10728. Suppose -4*u + 4*z + 243 - 27 = 0, -3*u - 5*z + 162 = 0. Calculate the highest common divisor of u and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 + 2*c. Let h be o(-2). Suppose f = -h*f + 6. Calculate the remainder when 15 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -32, -101, -226, -425, -716, -1117, -1646?\n\"Answer: -3*o**3 - o**2 - 7*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - g - 1. Let t = -6 + 18. Suppose -3*u - t = u. Give h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -406. Suppose 2005 = -g*z + 279*z. What are the prime factors of z?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 12*n**2 + n + 16. Suppose i = 2*l + 21, 3*l - 4*i + 9*i = -51. Let r be g(l). Solve 6 = 4*t + r*h - 6, 3*t + 31 = 5*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28406056 and 254900?\nAnswer: 10196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 + 3*t**2 + t. Let u be c(-5). Let k be (-10)\/(-15) + 1\/3. Is k > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -88*m**3 + 9*m**2 - 3*m + 4. Let j(l) = -l**3 + 2*l**2 - l + 1. Determine -a(d) + 4*j(d).\nAnswer: 84*d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.84 and -3?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3641.862 millennia?\nAnswer: 43702344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 20 = -5*m + 2*x, 0 = 3*x - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-160) + (2 - -2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbbbbhh. Give prob of picking 1 b and 2 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -256*t - 141*t. Let n = 1 + -1.5. Let h = 3.07 - 0.07. Which is the closest to t? (a) n (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + u + 27 + 42 - 2*u**2 in the form k*u**2 + v + j*u and give v.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfcjwee. What is prob of sequence jew?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/108*17148\/28. Let g = -52165\/756 + v. Calculate the common denominator of 59\/18 and g.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2094549*b**5 + 4*b**4 - 94865*b - 4.\nAnswer: -41890980*b**3 + 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/(w*w**2*w*w))**4*((w\/(w\/(w\/(w*w*w\/(w\/((w*w**(-4))\/w))*w)))*w*w)\/w**(-2))\/(w**0\/(w*w**(1\/4))) assuming w is positive.\nAnswer: w**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2023 divide 183694469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1882 + 1484. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225553 (base 6) to base 11\nAnswer: 13670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-5))\/h*h**(-18) assuming h is positive.\nAnswer: h**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*i = 1536*i - 91416 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 172*r - 98*r - 74*r + 298*r**2 - 3*r**2 + 0*r**2 + 4*r**2 + (-r + r + 3*r)*(3 - 2*r - 3) + 0*r**2 + 2*r**2 - 3*r**2.\nAnswer: 292*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 - 5515*l**3 + 60885575*l**2\/2 - 304014375*l + 3038765625\/4.\nAnswer: (l - 11025)**2*(l - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**3 - 3*o. Let x(l) = -l**3 - l. Give -2*h(t) + 6*x(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25178*2098\nAnswer: 52823444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 + 56*a - 25*a - 8*a - 36*a in the form f + r*a and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/65*1495\/138.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 16*c**3 - 14*c**3 - 11*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2304) + (sqrt(2304) - -1*sqrt(2304))))\/((sqrt(12) + sqrt(300))*-3*-6))**2 + 4 + 5.\nAnswer: 343\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -314, -3\/2 in ascending order.\nAnswer: -314, -5, -3\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**6))\/(z\/((z\/(z**(1\/5)\/z))\/z*z))*z*z**(1\/3)*z*z**(-2\/13)\/z*(z*z**(-2\/3)*z*z**(-2\/13))**(5\/11) assuming z is positive.\nAnswer: z**(-7474\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148411, -294813, -441215?\nAnswer: -587617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.131880029375 - 1\nAnswer: -1.131880029375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. What is the common denominator of (-23 + p)\/((-12)\/(-11)) and ((-15)\/6)\/((-18)\/63)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745764888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3004*v**4*x**2 + 2609*v*x**2 - 2*v*x wrt v?\nAnswer: -36048*v**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 529 + 527 + 535 - 2126 + 532 - 35*o**2 as d + i*o**2 + a*o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**2*h**2 - 392971427*a**2 + 7*a*h**2 + 546233*h wrt h?\nAnswer: -12*a**2*h + 14*a*h + 546233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 651377883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.98 or 35?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*429\/2145.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -496 and 8251?\nAnswer: -4092496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*t + 90, -5*x + 0*x + 5*t = -145. Suppose -52 = -4*i - 0*i. What is the highest common factor of x and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10306 + -51796\/5. Let p = -53 - h. Suppose l - 6*l = 0. What is the nearest to l in -4, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n + 2. Let m be y(3). Solve 0 = -5*o + 2*k + 35, k - 4 = -m*o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/4*v - 9\/2 - 1\/4*v**2.\nAnswer: -(v + 2)*(v + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51557 - -78657. What is b rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*0.062898.\nAnswer: 1.635348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198081140 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*b + b + 12 = -4*o - 19, 0 = -25*o - 6 - 94 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7062*t - 7058*t = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*d - 9369 = -11864 - 41387 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3689078.04 and 0.5.\nAnswer: 1844539.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {t: 4, q: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*i + 1 = 3*i, -3*d + 3*i - 6 = 0. Solve -d = -5*y + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126441157\/420 + -301050. Find the common denominator of r and 143\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)\/(q\/(q**(-1\/7)\/q)) assuming q is positive.\nAnswer: q**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 6*v + 7. Suppose -1 + 3 = x. Let d be i(x). What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose -5*o = -y - 662, -o - o + 257 = -r*y. Suppose -i + o = 583. Round i to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.7 - -8.7. Let f = -34 - -38. Let n(b) = b - 9. Let v be n(f). What is the nearest to m in v, 5, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = o - 4*a - 17, 0 = a - 1. Let c = -58468 - -58551. Calculate the remainder when c is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10645, -587, 9473, 19535?\nAnswer: 29599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -266180 - 2?\nAnswer: -266182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2 (c) -318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.228 + -44733.\nAnswer: -44733.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217314509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -6. Put 3, q, 15 in descending order.\nAnswer: 15, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010 (base 2) to base 9.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(1\/4))*h*h**3)\/(h**(-1)\/h*h)**(-19) assuming h is positive.\nAnswer: h**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239878, 2, 5.\nAnswer: -239878, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55351 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 45*n**2 + 9*n + 36. Let z(x) = -1. Let o(j) = f(j) - 6*z(j). What is the units digit of o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5577\/(-154))\/39)\/(360\/630)\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.941556 + 24105.\nAnswer: 24051.058444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 1587107.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 956641 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.626778 rounded to 2 dps?\nAnswer: -3.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 a when three letters picked without replacement from nanoknnyy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59492852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741220 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3926 and -26.42?\nAnswer: 10.372492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7943, 31768, 71469, 127040, 198475, 285768?\nAnswer: 388913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*l = -l - 123, 5*l - 225 = -5*j. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 999126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {h: 3, v: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*r - 5*u - 16, -2*u = 2*r + 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 12. Let s(a) = 2*a**3 - 2*a**2 - 43*a + 87. Let m be s(2). Let x be (1\/d + m\/27)\/(-2). Do x and -3\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n**2 - 6*n. Let d(g) be the third derivative of 11*g**5\/60 + 5*g**4\/24 - 82*g**2. Calculate -6*d(v) - 5*k(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255 - 253. Suppose g*w + 8 = 10. Solve 3*s - 5*x = 11, 3*x + 5 = 2*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 3*k + 164. Let c = -41 - k. Solve c = 2*s - 7 - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-822)\/12 + -2)\/(15\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 0, -4\/6409.\nAnswer: -2\/9, -4\/6409, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcjjjjjcc. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -10, 25, 145?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2\/7 (c) 4 (d) -1\/13 (e) 2\/13 (f) 34.8 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -3, -4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248728845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2102047 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)\/z**(-5))**26)**(-3\/23) assuming z is positive.\nAnswer: z**(-429\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8210605 micrometers?\nAnswer: 0.0008210605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 302*o*t**2 - 3528*o - 64737*t**2 + 11 wrt o.\nAnswer: 302*t**2 - 3528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfccfcxxqxqqfsq. What is prob of picking 2 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 16*v**2 - 2*v - 30. Let c be a(-16). What is the hundreds digit of (c + -3)\/(20\/(-4820))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/5 + h**4\/6 - 2*h**3\/3 - h**2 - 40*h. Factor s(y).\nAnswer: 2*(y - 1)*(y + 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-3))\/((-1)\/2). Let f = 13 - 9. Which is the second smallest value? (a) f (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12 + 17 - 21 - 11*c - 13*c + 28*c. Suppose -3*b + f = -1 - 9, -4*b + 3*f + 5 = 0. Let a(u) = -3*u - 5. Calculate b*i(n) + 8*a(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1649*z - 3479.\nAnswer: -1649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-3)\/(-3))\/(-1). Suppose -x + o = -2*x - 3*g, -5*g - 1 = 2*x. Solve x + 0 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -27289.\nAnswer: 272.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11*o**2 - 274*o + 2288. Calculate t(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4528 - -0.5. What is b rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -2256*y + 2238*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22 - 13 - 287*f + 294*f + 10. Let a(z) = 2*z. Determine a(t(x)).\nAnswer: 14*x - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*p + 41, 44 = 2*m - 3*p - p. Suppose -15 = -2*w + 5*f, 4*w - 4*f = -0*f + 36. Calculate the lowest common multiple of m and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -7871317\nAnswer: 2\/7871317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 + 24*n + 8. Calculate u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/36)\/((-3)\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12032222 (base 5) to base 2.\nAnswer: -11011001111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3*18\/(-4). Suppose 4*r - 2 = v. Suppose 3*h - 6 = 0, 0 = -2*q + r*h + 2*h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 8 - 25 + 7 - 3*s in the form a*s + l and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 49?\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-65))\/((-3)\/(-15))*1*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, 37, 347, 1067, 2359, 4385?\n\"Answer: 27*f**3 - 38*f**2 - 13*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161547873 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -205.6.\nAnswer: 2672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -194*v - 183. Let m be r(-1). Let q(z) = z**3 + z**2 + z + 88. Let n be q(0). Calculate the highest common factor of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/149814 and -23\/3444.\nAnswer: 299628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 2982949436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/(475\/1140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8))\/d**(-9\/2))**41 assuming d is positive.\nAnswer: d**(-205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -976 + -73433?\nAnswer: -73da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 1744 = -7*v. What is the common denominator of (-63)\/(-108)*v\/(-14) and -63\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let h(t) = 2460 - 2460 + 41*t**2. What is h(p(l))?\nAnswer: 41*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 11*u + 22*u - 16*u to the form h*u + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*l**3 + 617*l**3 - 209*l**3 - 2 - 228*l**3 - 11*l**2 to the form q + x*l**2 + r*l**3 + y*l and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/((-1)\/((-9)\/2)). What is the highest common factor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from ooroooroooaaoarooaoo?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 7*c**4\/3 - 19*c**3\/6 - 349*c**2\/2 + 805*c. Find the first derivative of d(u) wrt u.\nAnswer: 56*u - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 473*k - 477*k - 41 = -12, 0 = 4*k + 44 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(2*sqrt(6)\/sqrt(3)) - ((3 + sqrt(76) - sqrt(76) - sqrt(76) - sqrt(76))**2 + -1).\nAnswer: -312 + 49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.627 - -0.073. What is the nearest to -3 in r, -0.3, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 14*v - 28. Let r be k(-10). Suppose -6*y = -r*y + 534. Suppose -y = 12*h - 13*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589\/(-475)*5*(-50)\/2*(-30)\/75\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/269615 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 g when three letters picked without replacement from {g: 3, t: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -29, -0.35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61958649*k + 1228223 wrt k.\nAnswer: -61958649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927 - 961 - 966 - 1330*a**2.\nAnswer: -1330*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 382 by -1668.\nAnswer: -191\/834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -309\/65 - -23\/5. Let g = -1 + 4. Let i = 2 - 2. What is the closest to i in -0.3, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -1799.\nAnswer: -31\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 23*h + 2. What is r(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(98)*6 + 1.\nAnswer: -42*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 4 (c) -17.5 (d) -1 (e) 3\/2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-13)*-27*(-62)\/(-3348)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 6*k + 363998 = 98*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5764480 to the nearest one hundred thousand.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -96 from 5222877.\nAnswer: 5222973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 22013003?\nAnswer: 22013000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 16 = 2*y, 17 - 48 = 2*t + 5*y. Which is smaller: t or -7\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(1331) + ((sqrt(1331) + -2 + sqrt(1331))*-2)**2 - (1*sqrt(1331)*-1)**2)).\nAnswer: -99890 + 1705*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/21)\/o**4*(o*o\/(o*(o**8\/o)\/o))\/(o*o\/(o\/(o*o**7*o))) assuming o is positive.\nAnswer: o**(-397\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let l be -8 - -5 - 1*-4. Let c be 52\/(-16) - l\/(-4). Let x(t) be the first derivative of -t**2\/2 - 5*t + 2561. Give c*k(o) + x(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617*(-16 - 110\/(-10) - -8).\nAnswer: 3, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47350958*r**2 + 47501326*r wrt r?\nAnswer: 94701916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 108. Let f be (-152)\/c - 3*1. Is -1 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - q - 4*q + 207 + 203 = 0, 22*h - 94 - 1691 = -3*q for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26 - j**2 + 29*j - 18*j - 12*j. Let d(g) = g**3 - 14*g**2 - 8*g - 4. What is the remainder when d(15) is divided by x(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 2, y: 2, l: 1, g: 2}. What is prob of sequence hgyg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*o**3 + 982*o**3 + 1701*o**3 + 2051*o**3.\nAnswer: 3976*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 116*f**2 - 367*f - 106. Determine x(-61).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-1*(-12)\/18. Let q be (-1 + f)\/(-5 + 2). What is the nearest to -1\/7 in q, -5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 + 9*f - 3. Let j be c(6). Let y be ((-12)\/j)\/((-2)\/5). Factor 2*x + x**2 + y*x - 3*x.\nAnswer: x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106074*x**5 + 83*x**3 + 34220881*x?\nAnswer: 2121480*x**3 + 498*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -17. Suppose q = 2*n - 4, -2*q - 8 = -g*n - 0. Solve 0*o - 2*o - 8 = n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-4))\/((-555023)\/(-50456) + 165\/(-15))?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*k - 3*h, 4*k + h = 7 - 21. Let o(g) = 187*g - 127. Let p(y) = 186*y - 127. Let w(m) = k*p(m) + 5*o(m). Differentiate w(d) with respect to d.\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-29 - (-2 + -15))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-6))\/1 - -9. Suppose -2*i + m = 2*y - 1, -5*y + i + 13 = 0. Solve y*k + h - 11 = -h, 5 = -3*k + 2*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 - 3*c - 1. Let p be 10 + (-1 - (-9)\/3). Let u be ((-10)\/p)\/((-6)\/36). List the prime factors of d(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39544416, -39544409, -39544402, -39544395, -39544388, -39544381?\n\"Answer: 7*a - 39544423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2220 + 2216. What is the third biggest value in s, 0.2, 5.68?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1353 or -1354?\nAnswer: -1354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2402410 + -403?\nAnswer: 2402002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 2*p. Suppose y = 5*g - 0*g - 118, -2*g + 4*y = -58. Calculate the remainder when g is divided by d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -3*x + 31, -x = 4*z - 25. Find i such that -20 + 4*i + 4*i**3 + 20*i**2 + i**3 - x*i = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1048 - -724. Let p = s + 625. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1213, -1178, -1143, -1108, -1073, -1038?\n\"Answer: 35*f - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4691?\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.6. Let q = 3.6 + y. Let k = -699\/209 + 67\/19. What is the second smallest value in 0.4, q, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 28378839790 to the nearest 1000000.\nAnswer: 28379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 403764 divided by -3?\nAnswer: -134588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-6)\/(-14) - 1430\/(-77). Suppose -2*d - d + u = -l, -2*u = 5*d - 28. Suppose 0 = o + 1 - 6. Solve 0 = -h - z - o, 2*h - 14 = d*z - 2*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-65)\/25 - (-57)\/(-30). Let f = 0 + 0. Let r = f - -2. What is the closest to r in i, -6, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + f**3 + 3*f**2)*(-11*f - 81*f - 4*f + (3 - 3 - f)*(0 + 5 - 2)).\nAnswer: -99*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1789, -0.101, -1?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 561*f**3 + 51*f**2 - 359. Let m(w) = -70*w**3 - 6*w**2 + 45. Let z(r) = 6*h(r) + 51*m(r). Differentiate z(b) with respect to b.\nAnswer: -612*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 200 = -0. Suppose 5*s + 5*r - 60 = 365, 2*r + 100 = s. Suppose 35 = -b + 3*x, b = -b - 4*x - s. Which is greater: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/((-10)\/45). Let y(h) = h**3 - 4*h**2 + 3*h - 2. Let t be y(g). Let j be t\/(-1) + 0\/3. Solve j*o + 15 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*1\/45*4)\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3995593 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2686790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 46260 and 46261 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -431 + 257. Let s = -85 - z. Suppose 9*l - s - 1036 = 0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 11 - 8. Let r be f\/(-2)*(6 - 0). Suppose -2*t + 10 = r*t. Which is the closest to 0? (a) 0 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6599*o - 5. Let u be -4*(156\/16 + 4). Let b = 60 + u. Let w be q(b). Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7236112 to two decimal places.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -6. Let t = q - 28. Let u = 4\/11 - -13\/55. Sort u, 4, -1, t in ascending order.\nAnswer: t, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15 - 158*u**2 - 2 - 18*u**3 + 13*u + 19*u**3 + 170*u**2. Determine t(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399 + 399.05. Let p = 0.25 - 2.25. Let l = 0.93 - -0.07. Which is the fourth smallest value? (a) -2\/15 (b) l (c) u (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*f - 2*f. Suppose -3*l + y - 7 = 5*y, -y = f*l + 6. Let w = -247\/4 + 62. Is w equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294472640 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**6\/30 + 107*m**5\/20 - m**4\/12 + 133*m**2\/2 - 269*m - 6. What is the derivative of d(c) wrt c?\nAnswer: 4*c**3 + 321*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.1695 hours in minutes?\nAnswer: 57970.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441 - -442. Suppose f = -4*v - 15, 0*v - v = 5*f - 20. Let i(s) = -s + 1 + a - 1 - f. What is i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 247263*t**4 + 2478.\nAnswer: 989052*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:31 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from fftffssqsfjthsqthtff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 10*i - 154. Let j = i - -26. What is the lowest common multiple of j and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-79725)\/982110 - (76\/(-57))\/((-114)\/(-9)) and 45\/4.\nAnswer: 6892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27489573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 537*s**3 + 229*s**2 - 2*s?\nAnswer: 60*s**2 + 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -80097 times 2?\nAnswer: -160194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8)*(-96)\/(-8). Is 13295 - ((-54)\/30)\/(j\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let v be 3\/(1 + 0) + -2. Let a be g\/(-2) - v\/(-2). Solve a*o - 3*o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -803 or -788?\nAnswer: -803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 1295666134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*s**3 - 7*s + 753*s**3 + 1046*s**3 + 7*s.\nAnswer: 742*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(6\/(-17754)) - 4\/2. Suppose 8*m - y = 3707. What are the prime factors of m?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (602\/42 + -14)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:32 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 46760?\nAnswer: 561120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.13 - 0.93. Let p = -3 - -4. What is the closest to 0.1 in p, -2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 659413 + 12?\nAnswer: 659425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/12 + v**3 - 21*v**2 + 15*v. Let o be p(-10). Which is the third smallest value? (a) -5\/3 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x**2 + x + 1. Let h be g(-1). Let s = -6788 - -6787.8. Which is the fourth smallest value? (a) -0.4 (b) h (c) s (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < -547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p = 81*p, s - 54 = -p. Solve 2*o + 48 - s = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*i + 250*i + 7*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/280 and ((-20273)\/462)\/(-19) + -2.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3246342 by 5357.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - -2.7. Let f = -1.8 - -2. Which is the third biggest value? (a) v (b) -5\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 5*n**2 - 4*n - 2. Determine h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -361?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 507, -2, -527 in decreasing order.\nAnswer: 507, -2, -10, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*v - 583 - 481. Suppose 0 = -0*a + a - 5. Suppose -a*p + 422 = -v. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 76287070*q + 290985852459245 = 0. Calculate q.\nAnswer: -7628707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 133484.\nAnswer: 800904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/116 - 1452363\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 minutes after 10:19 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-417949)\/(-2) - (-6)\/(-4). Suppose m + 219027 = 4*j. What is j rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1 + 2)*0. Suppose i = -3*l + 4*v - 82, -5*l = 2*v - v + 129. Is ((-55)\/(-2))\/((-13)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 207.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-49045)\/(-255))\/(((-14)\/396)\/(-7)).\nAnswer: 2, 3, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g - 534 = 38. Are -4 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-320)\/420 + -2 - (-18)\/(-486)*-9?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -77, -4, -3 in descending order.\nAnswer: 20, -3, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulkukkduuelueuull. What is prob of picking 1 k and 1 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6380 (base 9) to base 11.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:51 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.05765 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + 5. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + 12\/6. What is the second derivative of 2 + i**3 - i**j + 22*i - 19*i**5 + 37*i**5 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 14*n - 3*n - 7. Solve 0 = 3*h - p - 20, -2 = -2*h + p + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -14. Let f = 231 - 240.968. Let r = f + k. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -z - 2 - 23, 5*z = -53*q + 52*q - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*y + 2193 + 1137 + 7177 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1663 + 3245\/2. Let c be (-4)\/(-12) - (-8128)\/(-24438). Let a = -606859\/24438 - c. Calculate the common denominator of p and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 38) + (25 - (64 + -58))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*x - 20659, 3*n + n = -2*x + 16526. Suppose -7*l - 2*l + n = 0. Let b = 177 - l. What is b rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*3\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**5\/35 + n**4\/7 + 2*n**3\/21 - 5. Suppose c(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 5 - 9 + i - 2 in the form r*i + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 35 = -k, 5*f + 35 - 105 = 4*k for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 - 5. Let n be f(-5). Suppose -58 = -b - n. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 5. Let p be x(-7). Let a be (-1)\/((-1)\/p*(-3)\/(-5)). Let b = -9 + 8.9. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17575.20348 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -1 + 6 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 82239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 13*v**2 + 7*v + 7. Let b be r(-7). Suppose 0 = b*x - 2*x + 20. Is (-473)\/(-22) + 2\/x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:05 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56013526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 n when three letters picked without replacement from {m: 3, z: 6, n: 7, r: 1}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6969 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -644086 divided by -6\nAnswer: 322043\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 824*q**2 - 3579*q + 908049. What is i(827)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 10:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 5*r**2 - r. Let l be o(-4). Let k = l - 13. Let m = 57746 + -57739. Is m at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45050132 + -3351?\nAnswer: 45042341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8936?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/21 - 4\/(-6). Let i(p) = -p**3 - 7*p**2 + 5. Let h(l) = -l**2 + 1. What is n*i(d) - 10*h(d)?\nAnswer: -2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 13*y - 26. Let j be c(-12). Let b = j - -16. Solve -u - b*u = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 71 + 22 = 0. Let y = g - 46. Suppose 288 = y*u + u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s. Let j(q) be the first derivative of 0*q + 5\/2*q**2 - 1. Determine y(j(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202 by 101.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 - 5 = 0. Let i be (80\/25)\/(l\/10). Suppose j - 31 = -i. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 65, 156, 273, 410, 561, 720?\n\"Answer: -m**3 + 22*m**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 247, 248, 249, 250?\n\"Answer: v + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Suppose 0 = -8*z + 2*z + 336. Let m(t) = 171*t - 54*t - 55*t - z*t. Calculate p(m(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2. Let u(b) = -44*b. Calculate g(u(p)).\nAnswer: 17424*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, -0.5, 1, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 963.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/63*6*10\/(-40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425232886*u**3 + 75067122*u**2.\nAnswer: 2551397316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27850998 divided by -266?\nAnswer: -104703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 21*l**2 - 38*l + 6. Let y be k(-19). What is the third derivative of -c**5 + 0*c**y + 24*c**6 - c**2 + 3*c**5 wrt c?\nAnswer: 2880*c**3 + 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6975 and 4800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583095455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2161, -4296, -6405, -8488, -10545?\n\"Answer: 13*p**2 - 2174*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 81*g. Let p(f) = -6*f - 4. Let o(d) = 8*d + 6. Let i(m) = -2*o(m) - 3*p(m). What is y(i(c))?\nAnswer: 162*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -4. Let d be -2*-2*c\/8. What are the prime factors of 275\/20 + d\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14982\/(-42) - (16\/28)\/2. Let c = -391 - i. Which is greater: c or -36?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 divided by 8427?\nAnswer: 268\/8427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -24. Let a(v) = -v + 6. Let z be a(3). Suppose z*l = 40 + 89. What is the remainder when l is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3235 - -3235.0000006936. Round i to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*y + 311 + 49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 470\/329*-7) + (-122)\/4.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(147) + 2*sqrt(147)*2 + 4.\nAnswer: 4 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 155 + 45 - 14*j + 55.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 638430539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:21 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:19 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 4. Let c(z) = 5*z**2 + 3*z - 3. Let t(h) = -14*h**2 - 8*h + 8. Let l(p) = -8*c(p) - 3*t(p). Give n(l(g)).\nAnswer: -8*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58296?\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.07 + 15. What is the second biggest value in -2, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 678. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315.39 + -317. Let i = c - -1.610156. Round i to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.555 - -0.045. Let u = 4.6 - y. Is -16 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 + 10?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -28. Let l = d + 5. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -28, -45, -62, -79?\n\"Answer: -17*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -2181.\nAnswer: -2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0 - 50*x - 5\/4*x**4 + 0*x**3 + 0*x**2. Let r(d) be the third derivative of d**5\/30 - d**2. Calculate m(r(s)).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279134 and 128186.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174180 rounded to the nearest one thousand?\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*x**2 + 265*x**3 - 124*x**2 + 365*x**2 - 120*x**2.\nAnswer: 265*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 9. Suppose 6 = -3*w - j, -w = -5*q + 55. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97495 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:31 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*i - 3 - 11 = 0, 3*n - 12 = 5*i. Is (n - 634)*20\/(-100) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.64. Let y = r + -0.16. What is the nearest to 1\/2 in 3, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27440\/(-105)*(-6)\/63. Which is smaller: w or 25?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2 + 957*p - 601?\nAnswer: 2*p + 957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 45*o - 54*o. Suppose 5*m + y - 107 = 0, 5*m = -o*y + 115 - 4. Which is smaller: m or 26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times 597458?\nAnswer: 43016976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*k - 110 = -231*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 5. Let f(i) = 14*i - 20. Let t(o) = 5*o - 7. Let d(m) = -6*f(m) + 17*t(m). Let a(w) = -6*d(w) + u(w). What are the prime factors of a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140199728 is divided by 833?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2) - 3*-22. Let s be (-429)\/(-26) + (-2)\/4. Calculate the highest common factor of u and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001206 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + m - 4)*(0 - 3 + 6 + 4 + 1 - 4 + (-1 - 1 + 4)*(0 - 5 + 6)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099917742 a multiple of 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.5 - 69. What is the third smallest value in -1\/5, -12, g, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193366 is divided by 2129.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 25*p**2 + 52*p + 54. Let q be v(27). Let t = 7 + -19. Let b be 1\/2 - t\/8. Solve b*d + 3 + 3 = q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1100)\/1760*41\/35 and -93\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -186*g - 183*g - 190*g - 183*g + 745*g. Let b(v) = -v. Let j(o) = -3 + 4*o + 3. Let h(p) = 16*b(p) + 3*j(p). Give h(w(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5693460 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giww when four letters picked without replacement from wwivigw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12.4. Sort 1.2, -2, l, -1.\nAnswer: -2, -1, l, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 270326 - 455984 - 377814 = 0. List the prime factors of b.\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 40*q**2 - 100*q.\nAnswer: 5*q*(q - 10)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3 - 3*s**2 - 2*s\/3 = 0.\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 - 318207056*q = 0.\nAnswer: -79551764, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, q: 3, u: 2, r: 4, a: 6}. What is prob of picking 1 y and 3 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 195\/(-2) + 2\/4. Let k = h - -169. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 + -1 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 57*k - 2. Let l be x(1). Let a = l + -91. What is the remainder when 8\/a + (-4330)\/(-45) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 37*b = -4*p + 35, b - 3*p + 10 = 0. Sort -5, -2, b, 622 in decreasing order.\nAnswer: 622, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 5, 1, -3, -7, -11?\n\"Answer: -4*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488489.\nAnswer: 557, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 469 and 234500?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 - 12*s**3*z - 4*s**2*z - 2*s**2 - 148*s*z + 78*z wrt s.\nAnswer: 48*s**2 - 72*s*z - 8*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 465 - 233. Let z = i - -1589. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and 14092.\nAnswer: -831428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8765423061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 12 = 0, c + 5 = 3*o. Solve -32 = o*d + d + 4*s, 4 = 2*d - 3*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665985, -1331965, -1997945, -2663925, -3329905?\nAnswer: -3995885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 15 = 19*x - 11, 8*x - 9*x + 2 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*181.933286\nAnswer: 90.966643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = a - 37, n = -4*n + a + 44. Suppose -n = u - 44. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/132 and 127\/1027032.\nAnswer: 11297352","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1\/10, -0.08, -1, -4\/3, -1\/2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let c(b) = 5*b + 2. Let m(a) = -20*a - 14. Let q(y) = 9*c(y) + 2*m(y). Determine k(q(o)).\nAnswer: 15*o - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688 (base 11) to base 9.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:33 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3234*y - 491744 + 491744 + 1 - 1 + 2*y + 3 - 3 - 2*y + (-4 + 3 + 0)*(-1 + 2*y + 1) + 3 - y - 3 + 3*y - 6*y + 5*y - 3*y + 3*y + y as o + d*y and give d.\nAnswer: 3234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 4 (c) 5 (d) 517522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17513 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 10 = 0, 0 = -5*h + 5*d - 8 + 43 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9247886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60371137*k*u**2 - 2*k*u + 2225*u - 23704 wrt u?\nAnswer: 120742274*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64.158 + 64. Let v = c - 2.842. Sort 2\/5, -0.5, v, 1 in increasing order.\nAnswer: v, -0.5, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -5 (b) 18 (c) -2\/15 (d) -1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-10\/3)))*r*r*r**(-5))\/(r**(2\/17)*r*r**(1\/5)) assuming r is positive.\nAnswer: r**(-1696\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001 (base 6) in base 2?\nAnswer: -1010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40917 * -1.1.\nAnswer: -45008.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t = -32, -2*c + t = -32 - 0. Suppose -2*q = -s + 7 + 1, -3*s - 2*q = -8. Let u = c + s. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 623 - 358. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-3) - -5)\/(21 + -7).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35042 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51715, 103733, 155751?\nAnswer: 207769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01488009661 rounded to 4 dps?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - h + 4*h = -16, m + 2*h + 9 = 0. What is the nearest to -0.1 in m, 1\/4, -0.15, 0.3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3706138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1876, 3758, 5640, 7522, 9404?\n\"Answer: 1882*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(105\/(-6)))\/((-17)\/(4522\/19))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 342\/5. Let p = -25 + 173\/7. Which is the closest to r? (a) -3 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 10 - (-85 + 81)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 84*x**5 - 1068*x**4 - 375*x**3 + 822*x**2 - 33*x - 78 = 0.\nAnswer: -1, -2\/7, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/11)*c**(1\/4)*c*c)\/((c\/((c*c**(-1\/2))\/c))\/c)**0 assuming c is positive.\nAnswer: c**(135\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(3\/31)*f))\/((f**(25\/2)\/f)\/f) assuming f is positive.\nAnswer: f**(-719\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11342990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) -1 (b) 2\/3 (c) -3\/11 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 92702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402 + 400 + 2*w**3 + 396 + 606 - 23*w**3.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - b + (-5 + 3 - 2)*(45*b - 16*b + 19*b))*(9 - 2 - 2).\nAnswer: -970*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 76*z**3 - 5*z**2 + 5*z - 5. Let u(o) = -1140*o**3 + 76*o**2 - 76*o + 76. What is 76*g(m) + 5*u(m)?\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + 174835 - 174901 - z**3 to the form g + f*z**3 + l*z + v*z**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 233976*x + 233976*x + 40*x**3.\nAnswer: 40*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 x, and 1 u when three letters picked without replacement from huxjxgguuguguujxjujx?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 910 + 3152. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Solve 4*r = 4*k + 24, 4*r - u*k - 23 + 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s**2 + 66*s - 155. What is x(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2741 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1366, -11006, -37172, -88126, -172130, -297446?\n\"Answer: -1377*x**3 - x**2 + 2*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -423, -427, -433, -441, -451, -463, -477?\n\"Answer: -w**2 - w - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 123 = 4*f - 7*f, 4*f = -g + 163. Suppose -139*b + f = -134*b. Solve -8*a + 16 = b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6768822*i**2*u**2 + 3*i**2 + 2*i*u + 457*i - u**2 - 121*u wrt i?\nAnswer: -13537644*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/242434 and -43\/10.\nAnswer: 1212170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -482791845 - 5.2.\nAnswer: -482791850.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-14)*b)\/b**(-26))\/(b\/b**10)**1 assuming b is positive.\nAnswer: b**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/13, 1\/4, -14\/11 in decreasing order.\nAnswer: 6, 1\/4, 2\/13, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 60*s + 75. Let v be b(-23). Let q = 248 + v. Solve 2*k + q = 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 55. Which is the smallest value? (a) l (b) 2\/53 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4*z - 3492711*g**2*z + 10588016*z wrt g.\nAnswer: 4*g**3*z - 6985422*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n**2 - 78*n - 1578. Does 51 divide x(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + -2 + (4 - 14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 1\/20*x**5 + 0 + 11\/6*x**3 + 7*x**2 - 11\/12*x**4 - 3*x. Does 5 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*(-1 + -3). Suppose -5*m + 42 = r*b - 4*m, -5*m - 10 = 0. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.85 - -34.85. Let k = -31 + w. Sort 5, -4\/9, k, -4 in increasing order.\nAnswer: -4, -4\/9, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*-1*(50\/(-15))\/5. Suppose y = 5*f + g, 3*f - g - 12 = -4*g. Which is the nearest to f? (a) 5 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -9 - (1 - -1). Suppose 13 - 18 = -c*j. Let n be 16\/(-10) - (0 - 0). Is n greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 3. Let b(v) = 2*v**2 + 1 - q. Let r(m) = m**2 - 1. Let z(c) = 4*c**2 - 2. Let o(d) = -2*r(d) + z(d). Calculate b(o(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217777060?\nAnswer: 2, 5, 83, 127, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28316 and 8?\nAnswer: 56632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146560944*h - 154880562?\nAnswer: -146560944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocao when four letters picked without replacement from aaccaaaooacc?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(-10 - 15 - 144)*(-2 - q**3 + 2) to l*q**3 + f*q**2 + c*q + p and give l.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-594)*27\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173883.9 hours to days.\nAnswer: 7245.1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 - -192. Suppose 0 = -n*c + 10*c - 2390. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*j + 7082, 7*k = 3*k - j + 14124. What is the smallest common multiple of k and 8?\nAnswer: 28232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 32. Which is the nearest to k? (a) 1\/9 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(99) + 4) + 1.\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in 3347, 0.2, -67.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3b1697 (base 13) to base 3\nAnswer: -2200201111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12094992 divided by -95992.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + (-77)\/(-165). What is the nearest to q in 1\/4, 4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = -7*v - 1238. Suppose -2*k + 4*c - 294 = 172, -5*k = 2*c + 1129. Let p = v - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6) + 5 + (-188)\/31 - 1.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 18*o**2 + 52*o + 16. Let b be f(4). What is the nearest to -2.5 in 1\/8, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12976616.\nAnswer: 2, 1622077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 3. Let x = 16.1 + i. Which is the closest to -1\/4? (a) -1 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 27 = c, 0 = -2*c + c + 2*i - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 57 + 121*a as f*a + h and give f.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 5, 0.07 in increasing order.\nAnswer: -29, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 650 = -6*r, 0 = r - 2*n + 584 - 725 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303 - 1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 8 + 14. Let s(r) = 4*r**3 - 3*r**2 + r - 2. Let g be s(a). Let h = g - -42. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*j + 1, -5*w - 3*j = -6*j + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/336 - 2*r**7\/35 + r**4\/24 + 13*r**3\/3 + 8*r**2 + 6*r. What is the second derivative of y(b) wrt b?\nAnswer: -20*b**3 - 144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0271 + 236.0271. Let p = b - 226. What is the closest to 0.2 in p, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 12*m - 4. Let f be k(9). Let t = -15 + f. Find the common denominator of 73\/4 and (t\/256)\/((-1)\/126).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1478426746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -61 + 1. Let m be l\/(-15)*3\/(-2). Suppose -4*u = -4*k - 308, 0 = 2*k - 2 - m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -1 + 7. Suppose 3*z = -v - 14. Sort z, -0.3, 3 in descending order.\nAnswer: 3, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1690*l + 57075 - 16515 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 4*g**4 - 2*g**4)*(0 + 2 - 3) + g**3 + 0*g**4 + 2*g**4 + 0*g**4 + (-3*g + 4*g + 5*g)*(-3*g**3 + 4*g**3 - 2*g**3).\nAnswer: 3*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135.58 - 0.42. Let u = -13061 + 13195.22. Let k = y + u. What is k rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(3\/(-8)*6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 6a1?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 + 75774*y**3 + 10495460*y**2 - 21294000*y = 0. What is y?\nAnswer: -140, 0, 2, 38025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3177 - 3173. Solve -4*o - 2 = -5*c - 9, -i*o - c = 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 753.9\nAnswer: -754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t + 6. Suppose 5*c = 5*u - 45, -3*c - 1 = -u + 36. Let k = t - c. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 0.04, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = -33 - 21. Put 1, 5, s, -5 in increasing order.\nAnswer: -5, s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -0.5, 16, 0.1 in decreasing order.\nAnswer: 16, 1, 0.4, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-3)*(-111)\/(-1). Suppose -3*s = 136 - b. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 778 + -776. What is the biggest value in 1, 1\/3, b, 1\/52?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -9. Let s = i + 6.7. Put 4, 2, s in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13857 + 13860. Solve 4*x = -i*o + 22, 0*x = -3*o + 2*x - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -385122 and 13.8.\nAnswer: -385108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/70 + h**6\/20 - h**5\/20 - h**4\/4 + 3*h**2 + 29*h. Let y(q) = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 9*v**2 + 5*v - 32. What is the remainder when ((-5622)\/(-14) - 1) + 57\/133 is divided by b(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*26\/(-65) - 28\/(-2). Let g be 0\/((4\/16)\/(2\/h)). Solve l + 3 = c, g*c + 3*c = 5*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1309, -1016, -255, 1208, 3607, 7176, 12149, 18760?\n\"Answer: 39*a**3 + 20*a - 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3075.52 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 97 = 4*c, -2*c - l + 51 = -0*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/98*-3*5\/30?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12689020 by 2027.\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -336 (b) -1\/2 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*b - 206 = 0, -3*f - 2*b = -b - 118. Suppose -2*t + 446 = f. Let a = t - 115. List the prime factors of a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = -6*t. Let a(c) = c + 14. Let g(l) = -2*l - 21. Let x(f) = t*a(f) - 5*g(f). Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1675*j = -1685*j - 50. What is the nearest to -1 in 3\/2, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7970 at least -7970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 505\/303*(-20)\/6 + 0\/(-2)?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = -27*u + 424 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -40. Calculate the remainder when 63 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.1, 0.4, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let d = m - -15. Calculate the highest common divisor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/30639844 or 1?\nAnswer: 9\/30639844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h + 4. Let n(q) = -4. Let y(p) = -1. Let m(t) = n(t) - 3*y(t). Let f(z) = 4*m(z) + v(z). Let w(j) = -6*j**2. What is f(w(s))?\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Let a(j) be the first derivative of 1 - 3 + 8 - j**3 + 3. Calculate d(a(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) - 65\/(-30). What is the closest to -1 in n, 2, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 160 - 5*v**2 - 41*v - 48 - 56 to the form m + z*v + b*v**2 and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2206132 and -87\/712.\nAnswer: 4412264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:29 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -25044140, -5, -4 in descending order.\nAnswer: -4, -5, -25044140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 683201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 4.1. Let o = -5 - l. Let y be (-2)\/8 - 27\/(-12). Sort y, o, -4.\nAnswer: -4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2700448 or 18?\nAnswer: -2700448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, -0.5, -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1. Let f = -1.5 - -1.8. What is the closest to m in f, 3, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58535.948857 - 58536. Round q to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1483796 and -89\/1384.\nAnswer: 513393416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5072*j + 19428 = -5334*j - 20830 + 16154 for j.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*b = 50, -4*b + 20 = k + b. Let q(m) = 7*m + m - k*m + 5*m. Let c(t) = -118*t**2. Give c(q(o)).\nAnswer: -472*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrlrrrzbmzzbmz. What is prob of picking 2 b and 1 m?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*a + 2893*a - 295*a to c + r*a and give r.\nAnswer: 2469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 17*n**2 - 23*n + 116. What is m(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(5*a - 4*a + a) + (-1 + 1 + a)*(-5 - 7 + 5) + 2*a - a + 0*a to t*a + n and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 896 - 89. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(6) + sqrt(2) + (4*(sqrt(2) + -2 + sqrt(2)))**2 - (((sqrt(288) + -1)*6)**2 - (5 + -1 + sqrt(288))**2).\nAnswer: -9908 + 837*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26b74 (base 16) to base 14\nAnswer: 41b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163027*a**2 - 163027*a**2 + 107*a**3.\nAnswer: 107*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1377) + 2 + 3) - ((5*-4*sqrt(1377) + sqrt(1377))*-1)**2.\nAnswer: -497077 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (480\/56)\/10*-7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4, 1\/57311, 1\/2?\nAnswer: 1\/57311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5910882 rounded to two dps?\nAnswer: -5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1569201+38868152\nAnswer: 37298951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397\/7 - 148\/21. Let t = w - 49. Which is the closest to t? (a) 0.2 (b) 3\/7 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 9*m = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i - 764*i**3 + 9*i**2 - 10*i**2 - i**2 - 30*i.\nAnswer: -764*i**3 - 2*i**2 - 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/31428 greater than -7453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18736.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(7020\/(-2475))*960\/(-176).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 8*g - 4*g + 327800. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 23642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.029 + -4.971. What is the closest to -1 in z, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1412103 or 1412101?\nAnswer: 1412103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 - 39*v**3\/2 - 105*v**2\/4 + 1039*v\/2 - 474 = 0 for v.\nAnswer: -6, 1, 4, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 595*d**4\/8 + 760*d**3\/3 - 25*d**2 + 12*d. What is the derivative of t(y) wrt y?\nAnswer: 1785","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**2 - 2*s**2 + 8*s**2)*(3 + 2*s - 3) to the form q*s**2 + a*s**3 + k*s + p and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -101000111?\nAnswer: -101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3\/6)\/(30\/71280)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 712*g + 51200.\nAnswer: 2*(g - 256)*(g - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 13*h - 1009. What is the units digit of n(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/3 + 170*s**2\/3 + 349*s + 528 = 0?\nAnswer: -3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(80)*-1).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 473101, 473058, 473015, 472972, 472929, 472886?\n\"Answer: -43*y + 473144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4292, -8629, -12972, -17315, -21652, -25977, -30284?\n\"Answer: w**3 - 9*w**2 - 4317*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*s - 4*c + 12 = -361*s, 0 = -4*s + 25*c - 43 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66 + 67)\/((-2)\/(-8)). Suppose -2*d = 2*d + d. Solve 0 = -3*i - n*a - 0*a, -i + 5*a = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*((b\/(b**(-1)*b))\/b)\/b*(b**(-6)\/b)\/(b*b\/(b\/(b**(6\/7)*b)))*b*b*b**(-4\/5)*b**7*b*((b**(-4)*b)\/b)\/(b*b\/(b*b*b**(-3\/10)*b)) assuming b is positive.\nAnswer: b**(-697\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/5 - 8597*j**3 + 128961*j**2\/5 - 128963*j\/5 + 42988\/5 = 0?\nAnswer: -42988, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*(2 - -18). Suppose -3*h + 13*h - u = 0. Suppose h*j - 4491 = -7*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**4\/4 - 2*g**3 - g**2\/2 + 7*g - 59. Determine b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 3*y + 4. Let x(o) = 2*o**2 - 5*o + 6. Let p(z) = -z**2 + 5*z + 1. Let g = 17 - 11. Let r be p(g). Determine r*x(q) + 8*n(q).\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156254*u - 12733 = 157003*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646 - 392 = -283*h + 237*h for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 = 213. Suppose 0 = 3*o - 133 - 83. Calculate the highest common factor of o and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/6 (b) 12 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, 5*q + l = 2*l + 720. What is the third derivative of 61*d**2 - q*d**3 + 19*d**2 - 11*d**2 wrt d?\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5. Let p(x) = 2. Let b(n) = -5*p(n) + 2*s(n). Suppose 3*c + 10 = y + 5*c, 28 = 4*y - 4*c. Let z(g) = -13*g - g + y*g. What is z(b(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5, 15 = 5*p - 20*m + 17*m for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.01837?\nAnswer: -0.01837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -831 - -1508. Suppose 8*d = 59 + b. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 4*q + 5*q)*(-2 - 6 + 1)*(-2 - 1 + 7 + (3 + 0 - 2)*(3 + 0 - 1)) as l*q + k and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -59314.\nAnswer: 59315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:15 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(6\/84). Let k be v - -5 - (-24)\/10. Let r be ((-6)\/(-4))\/1*-1. What is the nearest to k in 0.5, -3, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155554453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 64\/(-4))\/1. Let a(u) = -u + 8. What is the tens digit of a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50243.2 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 3\/4, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1253007 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*h + 11, 2*q - 16 - 8 = 5*h. Suppose -747*d + 745*d = -6. Factor 11*m + 1 + 18*m**d + q*m + 28*m**2 + 4*m**4 + 3.\nAnswer: 2*(m + 1)**2*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a5635 (base 11) to base 15\nAnswer: 171d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 12) + -2 + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 1 + -3 - 6) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 4*a**2 + 4*a**2. Let h(d) = -7*d**2. Let q(t) = 4*h(t) + 5*u(t). Let b(f) = -6*f - 1445686 + 14*f + 2*f + 1445686. What is q(b(w))?\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uny when three letters picked without replacement from {h: 3, n: 1, y: 2, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (166\/(-6))\/(58\/174). Which is smaller: -86 or w?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-9)*(-84)\/(-154)*11\/20.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 4 + 38*m**2 - 10*m + m. Let l be p(2). Suppose 2*q + j = 2*j + 268, 4*j - l = -q. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1187 + 4983*l - 1187 + 24418*l + (-1 - 2 + 5)*(2*l + 0*l - 3*l) to the form o*l + r and give o.\nAnswer: 29399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**3 - 5*p**2 - 5*p - 122. Let b(t) = -3*t**3 + 2*t**2 + 2*t + 61. Determine 5*b(n) + 2*x(n).\nAnswer: -n**3 + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-10)\/(-15)) + (-1)\/3. Suppose 0 = -5*z - 4*o + 259, v*z - 78 = -5*o + 67. What is the common denominator of -91\/2 and 2226\/126*(1 - z\/52)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131303320 (base 4) in base 10?\nAnswer: 646392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3461 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 1.2167\nAnswer: -7.3002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*j*m**4 + j*m**2 - 518*j + 2*m**4 wrt m?\nAnswer: 40*j*m**3 + 2*j*m + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x**9\/x) assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -585 - -585. Let x be ((-3)\/6)\/(6\/(-33)). Sort 0.2, x, d, -0.1 in decreasing order.\nAnswer: x, 0.2, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1412 = -942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 56714\nAnswer: -11342.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.53 (c) -0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 8, n: 2, o: 2}. What is prob of sequence qpo?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25942637.6662484 - 22.8662484. Let v = -25942609.79999972 + z. Let w = v + -5. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 31. Let y = 137 - 2053\/15. Let v = 9947 - 9946.9. What is the second biggest value in v, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-2)*(-6)\/(-4). Let g = n - -8. Let l(p) = 4*p + 1. Let r be l(-1). Put r, 0, g in descending order.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509285698 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -18) + -8 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198054, -396116, -594176, -792234?\nAnswer: -990290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.5365.\nAnswer: 0.6146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-24))\/((-21)\/(-28)). What is the biggest value in -5, -0.3, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4481 - 4556.916. Round g to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101.6 + -102. Let f = -160 + 138. What is the fourth smallest value in f, a, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297859\/3 != 99285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -57253.\nAnswer: -6\/57253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 514696560 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/((-57)\/380*20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*h - 24879, 5*d - 12*h + 17*h - 24875 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42092, 41975, 41780, 41507, 41156, 40727, 40220?\nAnswer: 39635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.917 - -3.9. Let s = -7.28 + 7.26353. Let r = y - s. What is r rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*17\/(-204)*2*6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 8*q - 2. Let j be b(-8). Let z be (-3 - 2) + 1 + j. Let d = 10 + z. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2215*f - 67088 + 5068 = 0 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8134783 divided by 43?\nAnswer: 189181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*h - 12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10793151 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: Put -272, -97, 7 in decreasing order.\nAnswer: 7, -97, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30287 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from zzzzvddddddkdzzzvz?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4\/8 - 209*r**3\/2 - 24492*r**2 + 49298*r + 508. Factor v(o).\nAnswer: -(o - 1)*(o + 314)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214200000 to the nearest one million.\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 269461539 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/2 - 10394*j + 99267715\/2 = 0.\nAnswer: 7433, 13355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*b, -3 = -5*u - 4*b + 2. Let p(w) = w**2 - w + 7. Is 9 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*g + 124923, -6*r + g = -4*r - 62479. Is r a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 3*h**2 - 6*h - 4. Let i = -81 + 77. Give k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 2)\/3 - -4. Let k be (0\/(-3)*-1)\/2. Let m = 3 - k. Solve m = -z*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/31 or -11.38079?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 26*k = -5*n + 9634, -7684 = -4*n - 5*k. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 87. Let b = -17 + 81. Let h = b - 47. Calculate the remainder when t is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37286145 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 910325690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 96 = 4*u. Suppose 15 + 5 = 5*q. Suppose q*t - t = u. What is the highest common factor of t and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/192173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/5 in 3, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*((-12)\/3 - -3). Let z(r) = -r**2 + 10*r - 7. Let l be z(u). Let d(p) = -7 + l + 4*p - 6*p. What is d(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(2\/19)*n)))\/(n*n**(-1\/5)\/n))\/(n**(1\/4)\/(n\/n**(4\/9))) assuming n is positive.\nAnswer: n**(5509\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23311?\nAnswer: 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let x(m) = 0*m**2 - 3*m**2 + 2*m**2 + 0*m**2. Give z(x(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 8. Let p be f(5). Which is greater: p or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 872?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366*h - 2 + 1 + 1.\nAnswer: 1366*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/9*762\/1270*(-1 + 12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 - 224*c**2 - 3840*c - 18432 = 0. What is c?\nAnswer: -24, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 9*i - 5*x = -16, -4*x = -2*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*17*6\/12. Suppose -8*m = -7*m - o. Suppose -2 + m = 3*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Suppose -7*v + 87 = 73. Suppose -2*w + v*b + 22 = w, b = -4*w + 11. Sort n, 3, w, -3 in decreasing order.\nAnswer: w, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 11*g**2 + 32*g + 22. What is the remainder when z(9) is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 33 + 3 + -17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 195 = h. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/22445 or -1?\nAnswer: 17\/22445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*133\/228*-81.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216) + 2 + sqrt(1216))**2 + 3 + 0 - (((sqrt(1216) - (sqrt(1216) + -2))**2 - (4*sqrt(171))**2) + -3)) + 4.\nAnswer: 72*sqrt(19) + 7610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2577, -1, -3, 5, 6, 2, -2.\nAnswer: -3, -2, -1, 2, 5, 6, 2577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1162 - 727. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b - 7*b - 1 + 3*b**2 + 1.\nAnswer: 3*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 - 2*g + 3. Let n be k(-6). Solve n + 5 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.999933 + -94. What is h rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 31*q**2 + 151*q + 361. Determine n(29).\nAnswer: 3058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.11 - -0.89. Let t = s - 10. Let c = t - 59.99971. What is c rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22852 or 22845?\nAnswer: 22852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r + 141. Let b be a(-12). Suppose 21*o = 18*o - b, 5*y - 4 = 3*o. Which is smaller: -2\/59 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, 0, 1 in decreasing order.\nAnswer: 4, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 110\/8)*(-132)\/99. Suppose 3 + m = 6*z. Solve 2*h - 1 = -5*l - 6, -z*h - 5 = 5*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 50 = -9*m. Let g(d) = -d**3 - 32*d**2 - 235*d + 61. Let n be g(-12). Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1454, -5723, -12792, -22661, -35330, -50799?\nAnswer: -69068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**3 + 0*p**3 + 2*p**3)*(4 + 0 - 5)*(-3 + 0 + 2) to the form b + t*p**2 + m*p**3 + n*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -8.5.\nAnswer: -8.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:37 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*s**4 - 38*f*s**2 - 128*f*s - 64080*f - 55 wrt s.\nAnswer: 8*f*s**3 - 76*f*s - 128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= 82490.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 83, 2, 5 in increasing order.\nAnswer: -3, 2, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*t + f - 70, 0 = 2*t - 5*f - 49. Let p(m) = 0 + 3*m - 1 - t + 2. Let c be p(7). Solve 0*a + c*a - 25 = -3*h, 0 = h + a - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10374700 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -74*q**3 + 46. Let b(s) = 111*s**3 - 69. Let p(f) = -5*b(f) - 7*c(f). Differentiate p(n) with respect to n.\nAnswer: -111*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/2 - -4)*-12. Let b be 14\/g - 1\/3. Suppose -3*i - b*j + 32 = 0, i = j + 2*j + 29. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l - 4*l**2 + 19*l - 3 - 9*l**2 + 14*l**2 - 3*l to the form o*l**2 + m*l + k and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 + 5*w**2 + 5*w**2. Let z(p) = 8*p - 51 + 120 - 52. Let k(l) = l + 2. Let u(v) = -51*k(v) + 6*z(v). Determine u(t(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -1\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 247\/755195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 33 = -5*v, k + 3*v + 11 = -0*k. Solve 0 = 3*i, 2*r - k*i = -0*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.95 + -0.05. Suppose 6*o + 4 = 2*o. Let p be 2*o\/2*2. Sort -0.3, z, p in descending order.\nAnswer: -0.3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1526 or 1441?\nAnswer: 1441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*n - 79 = 0, -o + 4*n + 54 = -34. Let s be -5 - ((-375)\/o - 6\/21). Which is the third smallest value? (a) 0.1 (b) 0.2 (c) s (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 30939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2130*p**3 - 2555*p**2 + 1280*p + 1705 = 0.\nAnswer: -1, 341\/426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -10 - (-1 - -4 - 1). Let n(q) = 18*q + 22. Let o be n(t). Suppose -4*p + 32 = -o. What is the remainder when 141 is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-525)\/(-140))\/((2\/(-8))\/(-1)). Suppose -4*s + 3*j + 14 = -0*j, 17 = 5*s - 4*j. What is the greatest common factor of r and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 6. Let k be q(-18). Calculate the lowest common multiple of 480\/k - (2 - (-36)\/(-14)) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/15)\/(t\/(t*t*t**12)) assuming t is positive.\nAnswer: t**(203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212573 by -5.\nAnswer: 212573\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3167 + -3161. Calculate the smallest common multiple of u and 1863.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*a - 32. What is the lowest common multiple of 84 and a?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-15))\/((-588)\/(-70)*(-5)\/(-15)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.6*-75.\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -23324204?\nAnswer: -23324213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -23.1, 922.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**2 + 5*j - 49. Let d be r(5). Let l(g) = 301 - d - 4*g. Let o(t) be the third derivative of 3*t**5\/20 - 2*t**2. Give l(o(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 8*t - 3*o + 72, 3*t + 57 = 3*o for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 49734*u**2 + 198941*u - 4. Calculate y(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101110111110111111 (base 2) to base 13\nAnswer: 69798","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 34*d + 877. Let v be h(-26). Let n(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - s**2 + s. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349094852951 - -1\nAnswer: -349094852950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 - 35. List the prime factors of q.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.312938*-279.\nAnswer: -87.309702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.169 - 0.169. Let z = 47 - 45.1. Let r = z + -2.2. Which is the closest to -2\/5? (a) 2\/19 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 + 199 + 198 + 192 - 589 + 2*i**3.\nAnswer: 2*i**3 + 21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1767362*y**2 + 2*y + 10420877?\nAnswer: 3534724*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.119 - 103.5. Round p to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*h*m - 461*h - 5*m wrt m.\nAnswer: 33*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m - 13*m + 19*m**2)*(1 - 1 - 2)*((0 - 1 + 2)*(-4*m + 6*m - 4*m) - 2*m + 3*m - 7*m) in the form r*m**3 + y + b*m + x*m**2 and give r.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -43. What is the greatest common factor of 44 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:42 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -139*t + 136*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -1\/2049 (c) 2\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-225)\/6*(-8)\/(-6). Let z be -60*(0 + 4\/(-8)). Calculate the common denominator of -83\/16 and k\/16*39\/z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 3, 8, 2, -57 in ascending order.\nAnswer: -57, 2, 3, 8, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2879076127 - -9.\nAnswer: -2879076118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4436 is divided by 117.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 4*d - 3. Let q be l(3). Let i be -5 + q*(2 + -1). Let z be (0 - i)*6\/10. Solve -2*w = w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10 - 6 = 0. Let t = 36 - s. Calculate the smallest common multiple of t and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -1418\nAnswer: -1418.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210 + 21?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(-53) - ((165 - 161) + 297\/(-49)).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 12*p + 5*b + 6, -4*b - 12 = 0. Put p, 1, -22, 0 in decreasing order.\nAnswer: p, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 3*s + 2. Let z be n(3). Suppose 0 = -5*r + 4*r + 5. Let l = z + r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w - 22. Let u be p(6). Suppose 0 = u*x + 3*i + 23, x + x + 29 = 3*i. What are the prime factors of ((-12)\/10)\/(x\/2015)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, -4, -3, 0, -1150, 5 in descending order.\nAnswer: 155, 5, 0, -3, -4, -1150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -54. Suppose -b*k - 2*k + 228 = 0. Are 18 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10 - j + 6 - 20. Let f(n) = n + 5. Calculate -4*f(l) - 5*t(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/9 + 174374*k\/9 + 522960 = 0.\nAnswer: -87160, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i - 37*i + 60*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -0.154146.\nAnswer: 0.554146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 423, 422, 419, 414?\n\"Answer: -r**2 + 2*r + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5565827.\nAnswer: -3\/5565827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/840 - s**6\/120 - s**4\/4 + 4*s. Let h(b) be the third derivative of i(b). Let h(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d - 4. Let w be j(-4). Solve w = 2*f - 5*f - 12, 4*g + 3*f = -32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.20803146 + 3.\nAnswer: 4.20803146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + 5*i - 2. Let w be l(4). Let g = 4 - -2. Solve w*c - 4*c = -g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 7 = -5*m. Calculate the lowest common multiple of m and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -203, -306, -409, -512, -615?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 3*j**2. Let v be w(-2). Let o = v + 6. Is 2 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -4*m + 203, 2*u - 13*m - 7 = 5*u - 297 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -316 (base 7) to base 5\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -0.05 (b) -1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9158685, 9158684, 9158683, 9158682, 9158681, 9158680?\nAnswer: 9158679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425890.\nAnswer: 2, 5, 42589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82.24 and -2.\nAnswer: -84.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 362*c**2 - 735*c + 2547. Calculate r(364).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + w - 19. Let v(d) = -5*d**2 + 19. Give 3*v(x) + 4*z(x).\nAnswer: x**2 + 4*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 10. Let v be z(-14). Suppose v*m - 12 = 4. What is the lowest common multiple of 5 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 28 = -40. Let x(m) be the first derivative of -3 + a*m + 0*m**2 - 5\/3*m**3. What is the derivative of x(z) wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/12 - 317*q\/12 + 3605 = 0. What is q?\nAnswer: -420, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7569772 or -22709312\/3?\nAnswer: -7569772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 24*n + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -17.\nAnswer: -17, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 731 and -494.\nAnswer: -361114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 607137533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-95)\/6)\/(33\/396) is divided by 82.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + -7 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593.\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 2*p + p**2 + 0*p**2 - p**2 + 10*p**2 + (-4*p - 3*p + 5*p)*(2 - 2 + 2*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.4421 + -991.8879. Let i = g - -1018. What is i rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15109265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.23566 years to millennia.\nAnswer: 0.00623566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 - b**2 + 2*b - 3. Let g(c) = -11*c**3 + 3*c**2 - 6*c + 8. Let k be (-234)\/(-72) + 1\/(-4). Calculate k*g(h) + 8*n(h).\nAnswer: -h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + x + 35, -2*r - 5*x = -0*x - 45. Let v(z) = -r - 5*z - 8*z + 8*z. What are the prime factors of v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*o + 30, -4*y = 2*o - 6*o - 20. Suppose -8*i + 4*i = -28. What are the prime factors of 100\/i + y\/(-35)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:26 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 - (-22 - -2). Let y = 48 - 32. Let a = -15 + y. Solve -5*b = a + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**2. Let d(b) = -3*b - 16. Let l(x) = 4*x + 20. Let y(v) = 5*d(v) + 4*l(v). What is k(y(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 9*s - s)*(-4 + 4 - 2) + (-2 + 2 - 1)*(2*s - 5*s + 5*s) in the form t*s + x and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z**3 - 27610*z**2 - z - 310740.\nAnswer: -54*z - 55220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 71. Let k(h) = -h**2. What is k(j(r))?\nAnswer: -25*r**2 + 710*r - 5041","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011100984 to five decimal places.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(104) + 1*sqrt(104))\/sqrt(8) - sqrt(13) - (5 + sqrt(117)) - (0 + 2*sqrt(1300))**2.\nAnswer: -5205 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2041 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97075 is divided by 117?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j + 0)*(-136 + 60 - 132)*(-4*j - 30 + 3*j + 9)*(-1 + 3 + 1).\nAnswer: -1248*j**2 - 26208*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 5*v**2 - 14*v. Let m(a) = a**3 - a**2 - a. What is -c(q) + 5*m(q)?\nAnswer: 2*q**3 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 2*o + s - 358, 5*o = 5*s + 1870. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 - 185. Let h(f) = -f**3 - 11*f**2 - 6*f - 62. Let k be h(-11). Let a be (10\/k)\/1*(-14)\/(-5). Calculate the greatest common divisor of a and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 30*j + 977 - 137 = 0. Solve j*k = -26*k - 282 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 964*u**2 + 7968*u.\nAnswer: -4*u*(u - 249)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**4\/(l\/(l*l*l**1\/l))**6 assuming l is positive.\nAnswer: l**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j - 259*j + 28 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 8. Let t(f) = 6 - 2 - 2*f - 5*f + 7*f**m. Does 18 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810291?\nAnswer: 3, 270097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -151. What is the biggest value in -2\/11, v, -0.1, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 167999399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 864.7485 times 0.9\nAnswer: 778.27365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-15 + 23 - (9 - -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*q**3 - 2300*j**3*q + 6*j**2*q**2 - 2*j**2*q - 41*q**3 wrt q.\nAnswer: 6*j**3*q + 12*j**2 - 246*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344991 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.02 - 0.02. Let i = q + -30. Let m = 0.6 - 7.6. What is the third biggest value in 0.3, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 511\/2 + -258. Find the common denominator of 1\/9 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/12)\/((-44)\/(-66))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119371 (base 10) to base 7.\nAnswer: -1005010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, -4, -5 in decreasing order.\nAnswer: 13, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19a - 3?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 36, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(-2\/31)*t*t**(1\/2)*t)\/((t**1\/t)\/t**(-4\/19)) assuming t is positive.\nAnswer: t**(7333\/1178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - -156 - 116 - -36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 10*g**2 - 8*g + 12. Let k be z(-9). Let o(j) = -18*j + 2 + 20 - 16*j**2 + 0*j**k + j**3. What is the smallest common multiple of 6 and o(17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w - 50*w - 23*w)*(-3 + w**3 + 2*w**2 - 2*w**2 + (-3*w**2 + w**2 + 4*w**2)*(0*w + 5*w - 4*w))*(-1 - 2 + 6)*(7*w + 6*w - w).\nAnswer: -12528*w**5 + 12528*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 13 - 8)*(26516*t - 52319*t + 31873*t) to c + w*t and give w.\nAnswer: -97120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2092944 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1646550 by 30.\nAnswer: 54885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9993, -9991, -9989, -9987, -9985, -9983?\n\"Answer: 2*p - 9995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -14. Let t = v - 0. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 2*j + 4. Let s(f) = -f**2 + 10*f - 5. Let i be s(7). Suppose 4*a - i = 0, r + 2*r + 2*a = -1. What are the prime factors of d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*(166\/(-4))\/((-123)\/2706)?\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 34*a - 18. Determine f(32).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -121668\nAnswer: -3650.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102*l + 952 = 1109*l. What is the remainder when l is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9))**7)**(1\/24) assuming j is positive.\nAnswer: j**(7\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 10, a: 3}. What is prob of picking 3 x and 1 a?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 + 410834*l**2\/3 + 1643360*l\/3 + 1643368\/3 = 0.\nAnswer: -2, 205421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 135 - s - 195 + 167 to a*s + f and give f.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1167345 millilitres?\nAnswer: 0.0001167345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-91) + (-216)\/702?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045756 minus 0.0571?\nAnswer: -0.011344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 103 + 3)*(0*x + 0 - 1 + x) to b*x + t and give b.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 2, 1 in decreasing order.\nAnswer: 2, 1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*u + 3*g, -2*u + 180 - 341 = 5*g - 204 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbxxxofoocwfowb. Give prob of picking 1 o and 1 f.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6943 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -84.272?\nAnswer: -84.272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 596 = 656 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2175 - 2172. Put -1, 5, b, 0 in increasing order.\nAnswer: -1, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*c**2 + 1 + 2 + 0 + 11 - 4 as h*c + t + q*c**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 261580 = -5*l + 182288. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6602 or 6600?\nAnswer: 6600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860148 is divided by 2252?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 61 = 7. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 9*o**2 + 5*o - 2. Let f be v(4). Suppose f*h + 15 = 21. Solve -h*y = -8*y, 0 = 3*b - y + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*d**4 + 0*d**2 + 6*d - 3\/2*d**3 + 6.\nAnswer: -3*(d - 2)*(d + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m**4 - 2\/5*m**5 + 5 + 0*m**3 - 1\/2*m**2 + 0*m. What is the second derivative of r(o) wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -21.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - -196. Solve 0 = -g*j + 2*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 7. Suppose 0 = 4*y + k + 10 - 112, 3*y - 69 = 3*k. Suppose -y - 17 = -j*v. Solve 0 = 2*f + f + v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 15. Let j be n(7). Suppose -2*u + j = 4*d + 3*u, -5*u = -25. Sort -3, 4, d.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 68*p**2 - 127*p + 372. Determine z(-66).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 39 + (2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/330 - 131*n**4\/66 - 263*n**3\/33 + 785*n**2. What is f in p(f) = 0?\nAnswer: -1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4530676 divided by -4.\nAnswer: -1132669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**3*u**2 - 346590*i**3 - 73*i**2*u - 21*i**2 - 27*i*u**2 - 9*i*u - 2*i + 2*u wrt i?\nAnswer: -30*u**2 - 2079540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -4*b + 176, -4*z - 178*b + 179*b + 46 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 78417.8 to the nearest 1000.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38989*g*o + g - o - 31278 wrt o.\nAnswer: -38989*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 2, n: 6, y: 1, m: 4, o: 2}. Give prob of sequence yxx.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/3)\/n)\/((n**(-13)\/n)\/n)*n**(-14)*n*n*n**(2\/49)\/n)**14 assuming n is positive.\nAnswer: n**(502\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 0. Let h = 5.2 - 64.2. Let j = 59.4 + h. What is the third smallest value in 0.5, k, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376997 is divided by 2025.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m + 183*m - 364*m = -72 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310 - -743. What are the prime factors of o?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339925, -4679841, -7019757, -9359673, -11699589?\nAnswer: -14039505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/7 - (-4)\/(-7). Suppose -5*g - 3*x + 14 = 0, 14 = -0*g + 2*g + 4*x. Differentiate 2*o**2 + 1 + g - o**u with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:26 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4836)\/155 - (-192)\/160.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1756 + -1037. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2107 = -8931. Let s = g - -9385\/11. Which is the second biggest value? (a) 1.6 (b) 2\/9 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 11 = -o, -4*k + 0*o - 16 = o. Let v be k\/((-9)\/(-6) + -4). Solve 0*m + s - 6 = v*m, 0 = -2*m - 5*s - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1700))**2 + sqrt(17) + 5 + sqrt(34)\/sqrt(2).\nAnswer: 42*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 2\/5, -0.2, -30, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, n: 2, h: 2, u: 1, l: 2, q: 2}. What is prob of picking 1 q and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1271*k**4 - 708*k**2.\nAnswer: 30504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((0 - 3) + (-1 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 336.92?\nAnswer: 2021.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 14 = 11*h - 9*h, -4*v - h - 10 + 21 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.97? (a) -0.3 (b) 2\/9 (c) -2\/3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.3, -43, 5, 46.464?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, t: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3809 (b) 3 (c) 1\/9 (d) 2 (e) -0.3 (f) -1 (g) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38723140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3 + 111*t**2 - 678*t - 4680 = 0.\nAnswer: -4, 15, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-14)*p*p**21)**(-38))**42)**9 assuming p is positive.\nAnswer: p**(-114912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*u + 11, -i + 8*u + 13 = 5*u. Let o = 0 + 2. Solve o*y - i*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 - 18*z. Let w(o) = -o**2 - 6*o. Let j(p) = 3*w(p) - x(p). Let u(m) = m**2 - 4*m - 29. Calculate u(j(d)).\nAnswer: d**4 - 4*d**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 1808 - 6857 = 3465. Calculate the greatest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -14130?\nAnswer: -11\/14130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**0*r*r))**(2\/129)\/(r**2\/r**(-2\/9)))\/(r**(-8)*r\/r**(9\/2))**1 assuming r is positive.\nAnswer: r**(7157\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -883751300 rounded to the nearest one million?\nAnswer: -884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20224 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -907 - -898.56. Let y = n + 9.24. Which is the closest to -2\/7? (a) 0.5 (b) y (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11870928.\nAnswer: 2, 3, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 144*g + 30. Let l be u(-3). Let m = 542 + l. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587322 a multiple of 868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.24542 tonnes in micrograms?\nAnswer: 34245420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by 178?\nAnswer: -199\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 26. Solve l = 4*l + 2*q - 4, 0 = -4*l + s*q + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -9, 0.03, 1\/3, 11 in descending order.\nAnswer: 11, 1\/3, 0.03, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -187, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3024))\/((sqrt(525) + sqrt(21))\/sqrt(7)) + 3.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-7) + (2*2 - 0). Solve l - 1\/2*r**3 + 1\/2*r - 1\/2*r**2 + 1\/2*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1119 + -55.8881. Let i = -42.72944 + -13.29246. Let f = i - m. Round f to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/5 + 3369*k**3\/5 + 12763647*k**2\/5 - 76672521*k\/5 + 23010804 = 0. Calculate k.\nAnswer: -1580, 3, 2697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 162, 117, 34, -99, -294, -563?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5 - 587001*p**4 - 1174035*p**3 + 4109061*p**2 - 2348028*p = 0.\nAnswer: -4, 0, 1, 195669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89307707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 - 3*q**2)*(951 - 3376 - 2017).\nAnswer: 4442*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 5*sqrt(209)*-2) + sqrt(209))\/(-2*sqrt(44) + sqrt(11)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -846\/11, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, -846\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15867?\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/((l**(-1\/3)*l)\/l)*l*l)\/l*l)*l**7)**(-49) assuming l is positive.\nAnswer: l**(-833\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**5\/15 - 143*s**4\/6 - 4606*s**3\/3 - 117077*s**2\/3 - 415292*s\/3 + 1075. Factor j(h).\nAnswer: -2*(h + 2)*(h + 47)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 54. Let s(w) be the third derivative of 5*w**5\/12 - w**4\/24 + 60*w**2. Give s(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*j**2 - 148*j - 1 + 71*j + 76*j + (2*j + 2*j - 6*j)*(-3*j - 4*j + 5*j) + 0*j**2 - j**2 + 0*j**2 to the form w*j + q*j**2 + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3)\/l*l**(-6))\/(l**(-5)\/l*l*(l\/l**1)\/l*l) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 36. What is the remainder when z(14) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/((-1300)\/39) - (-2)\/2. Suppose -3*a**3 - 1\/2*a**t + 0 + 16*a + 0*a**2 = 0. What is a?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 4*c + 0*c to the form i + u*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (841\/(-11774)*84\/(-75))\/((-2)\/(-20)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -55, -56, -57, -58, -59?\n\"Answer: -w - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(2 + 8 - 2)*(-4*q**2 + 6*q**2 - q**2) to the form l*q**2 + d*q + j and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0415*-188\nAnswer: 7.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-9\/2)\/s*s)\/s))\/(s**6*s))\/(s**(-1\/2)\/(s*s*s**(6\/17))) assuming s is positive.\nAnswer: s**(23\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i - 2*i - i - 2 + 3*i. Calculate p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(8\/10 + (1176\/(-120))\/(2\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/601 > 1\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15306 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 760 - 1533 - 954*k + 773 to the form t*k + i and give t.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(500)*-1 + sqrt(500))*6)**2*6 + 2 + 1 + 1 + 0 + sqrt(405) + sqrt(405).\nAnswer: 18*sqrt(5) + 5404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 151082916 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623*q + 4248 = 741*q. Calculate the remainder when -1*(-30)\/(-4)*-14 is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60275 is divided by 234?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6864\/18 - (-2 + (-8)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138122 is divided by 7654?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-528)*(-3 + 0). Is 0 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -5*y - 10, -5*y - 10 = -4*n. Suppose 3*v - 4 = 2*h + 7, -3*v - 5*h + 46 = n. What is the least common multiple of v and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 26 = -5*f, -4*f + 4*m - 45 = -69 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.09 - 0.09. Let v = q + -6. Which is the smallest value? (a) v (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214825337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 44.1. Let o = -5.9 + x. Which is the biggest value? (a) -3\/2 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(10\/(-15)). Solve -10 + 4 = h*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*l + 6123 = -4188*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -44?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 24 - 413*o**2 - 23 - 29.\nAnswer: -413*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376830.1 millilitres in litres?\nAnswer: 376.8301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 28. What is m(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -395*n**3 + 2*n**2 + 2*n. Let g(u) = -10665*u**3 + 55*u**2 + 55*u. Determine -2*g(a) + 55*h(a).\nAnswer: -395*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1199*b + 188046. What is n(157)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 889 + 899 = 5*k, k - 3*a = 2. Let 0*s - 2\/13 + 2\/13*s**k = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 2. Let t be q(-2). Suppose 2*g - t = 4. Calculate the greatest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/5 (c) 3 (d) -2150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 223*n**6\/24 + 790*n**3 - 797*n**2. What is the first derivative of b(j) wrt j?\nAnswer: 3345*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -3, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3242283 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874350 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 127 + (-8 - (1 + -5)). Suppose 108 = 3*w - l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455128587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 1\/3, -15\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -24. Let d(t) = -6*t - 5*t**2 + 12 - t**i - 29 + 17. Calculate the remainder when d(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by -1 - -4 - (9 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*j = x, 2*x - 3*j - 9 = 0. Let n be 0\/(-2)*(-4 - x). Let r(g) = 2*g**3 + g + 15. Is 5 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 - 7 = 0. Let s(k) = -3*k**2 - 9*k - 2. Let b(y) = -7*y**2 - 19*y - 5. Let l(o) = 4*b(o) - 9*s(o). Let d be l(3). Solve a - 8 = d*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(6 - 4) + -1. Suppose f*r = 6*r + 15. Let c be -1 + 9 + (-2 - 1). Is r != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 11*p - 39. What are the prime factors of x(19)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -721, -1090, -1463, -1840?\nAnswer: -2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.6 (c) -1 (d) 3 (e) 117.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f - 4*y, 4*y = 0. Let l be (-4)\/(-2) - 118\/26. Let r = 31\/13 + l. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -407.13 + 415. Let s = w - -0.13. Let l = s + -8. Sort 4, 5, l in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*g**2*w**2 - 2*g**2*w - 32*g*w**2 + 29475*w**2 wrt g.\nAnswer: 38*g*w**2 - 4*g*w - 32*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*t + 15, 0*j - 4*j + t - 21 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.4 or 10777\/10?\nAnswer: 10777\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z - 16. Is 22 a factor of r(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -81, 0.3062 in ascending order.\nAnswer: -81, -0.09, 0.3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 628 and 616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419 - -416. Suppose -25 = -5*y, -4*t - 2*y = -2*t - 14. What is the nearest to -1 in s, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let a be (5 - 2)\/(0 - s). Let f(w) = -14*w - 4. Let u be f(a). Calculate the highest common divisor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2. Let t(h) = -18*h**2 + 14*h - 52. Let v(b) = -13*b**2 + 10*b - 35. Let m = -112 - -107. Let j(f) = m*t(f) + 7*v(f). Determine j(i(a)).\nAnswer: -25*a**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/3 (b) 7 (c) -0.2 (d) -2.49 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, x: 3, m: 2, l: 5}. What is prob of sequence xwx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 98.64063mg?\nAnswer: 0.00000009864063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28606634?\nAnswer: 2, 7, 101, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {f: 2, y: 12, g: 1, o: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03483 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 295, 423, 531, 613, 663, 675?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*u - u + 93 = 0, 0 = i - 2*u + 17. Suppose -12 = -2*b - b, 4*h = b - 12. Let f be (-28)\/(-6)*i\/h. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4926, 9886, 14894, 19950, 25054, 30206?\n\"Answer: 24*k**2 + 4888*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 2497.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*d - 3, 4*d + d - 6 = 2*f. Find the third derivative of 56 - 6*g**2 + d*g**3 + 0*g**3 + 4*g**2 - 16*g**5 + 2*g**6 wrt g.\nAnswer: 240*g**3 - 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + 0.11. Let k = 0.1 - g. Are k and 1.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 428 = 432. Suppose -165 - 10 = -5*o. Suppose -17 = -y*u + o. What is the remainder when 21 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46475 divided by -5.\nAnswer: 9295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1410504727 + 1?\nAnswer: 1410504730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 2999942019.2496 and -1.\nAnswer: 2999942018.2496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 7, v: 10}. What is prob of picking 1 p and 1 s?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - -68. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/60 and -143\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -118*g**3 - 8*g - 7. Let y(s) = -119*s**3 - 12*s - 7. Give -3*a(m) + 2*y(m).\nAnswer: 116*m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/23)*y\/(y\/(y**(3\/2)\/y))*(y**(1\/4))**(2\/43)*((y**(-1))**(-28))**(-9) assuming y is positive.\nAnswer: y**(-248808\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -17*a**2 - 1. Suppose 227 = y + 225. Give j(y).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315570 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 4. Let s be k(-4). Let f be 8\/10*(-35)\/(-14). Is f at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306*m + 11*m + 31047 = 185*m - 31113 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 13*y**2 - 8*y**2 + 6*y - 25*y**2.\nAnswer: -46*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = c - 2*l - 4*l + 4*l + 53, -8*l = -39*c - 259 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 11*l**2 - 25*l + 7. Let h be t(-12). Let f(x) = 32*x - h + 82 + 81. Let a(y) = 2*y**2. Determine a(f(g)).\nAnswer: 2048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 182720?\nAnswer: 182720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:17 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-5))\/(a*a**(6\/5)))\/(a\/((a\/((a\/(a\/(a*a**(-1\/16)*a)))\/a)*a)\/a)*a*a*a\/(a\/((a\/((a**12\/a)\/a))\/a*a))))**(-1\/23) assuming a is positive.\nAnswer: a**(11\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 4*j**2 + 3*j + 6. Suppose 0 = -2*h + 9*h - 35. Determine b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 62. Let f = -41 - u. Suppose f = 3*h - 5*h. Solve h = -o + 2*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 - 1349*c**2 - 4160*c. Let t(z) = 3*z**3 + 673*z**2 + 2079*z. Let q(i) = -2*f(i) - 5*t(i). Find the second derivative of q(h) wrt h.\nAnswer: -6*h - 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, 2\/5, -31, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**2)*f\/((f*(f*f**(10\/3))\/f*f)\/f)*f assuming f is positive.\nAnswer: f**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -3534352?\nAnswer: 3534401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 2*m**2 - m**4 - m**2 + (0*m**2 - m**2 - 2*m**2)*(-206*m**2 + 264*m**2 + 459*m**2) + 2*m**4 - 4*m**4 + 0*m**4.\nAnswer: -1555*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - 14 - (-34)\/14. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 - 34*z**2 + 41*z - 130. Is a(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5f05 (base 16) to base 10.\nAnswer: -941829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57138 divided by 11?\nAnswer: 57138\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 21. Let a(y) = -y**2 - 4*y + 7. Let h be a(c). Let r(s) be the third derivative of s**5\/60 + s**4\/8 - 5*s**3\/6 - 6*s**2. Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - ((-21)\/(-9) + -3 - (-6)\/(-18)). What is the third biggest value in n, -1.4, -2\/13?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -6. Let s = -13 + 5. Let q = s + 8. Solve v*r - 5*r - 2 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*p - 1792, -393 - 203 = -p - g. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.7111 years in centuries?\nAnswer: 3.687111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.238, 1\/5, 6\/7.\nAnswer: 1\/5, 0.238, 6\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 5}. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 33. Let z be d(-13). Let t = z + -81. Solve 6*f + t = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 4, w: 5, u: 1, g: 1}. Give prob of sequence pwp.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/7 - 215*n + 93600\/7 = 0 for n.\nAnswer: 65, 1440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (500\/90)\/(-25)*15?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2 - 0)\/(195\/156)*1. Let y(f) be the first derivative of 5\/2*f**o - 28 + 5\/2*f**3 + 5\/8*f**4 + 0*f. Find c such that y(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = -13. Let c(o) = 10*o**2. Let f(m) = -m**2. Give w*c(n) - 5*f(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 43 - 43)*(-21 - 55 + 26).\nAnswer: -150*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2262)\/(-116))\/(18\/(-12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 22*u**2. Let q(p) = -21*p**2. Calculate 6*k(a) + 5*q(a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 29. Let i = 28.9 - r. Is -7\/4 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90257 is divided by 11282.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 - 6263734*r**2 - r + 2858898.\nAnswer: -20*r**3 - 12527468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 230135.7, 3, 0, -3\/5?\nAnswer: 230135.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:04 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9546 and 13287?\nAnswer: 983238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and 49\/38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5478 greater than 5233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*f**4 + 480786*f**2*y - 186276078*y with respect to f.\nAnswer: -500*f**3 + 961572*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6404 is divided by 237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 39 = 3*o. Solve 0*d - o*d - 6 = 4*g, 5*d = 5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = -21906 + 18525 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202067*p**3 + 5*p**2 - 6255*p wrt p?\nAnswer: 1212402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64041, 64038, 64035, 64032, 64029, 64026?\nAnswer: 64023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544202 (base 12) to base 6.\nAnswer: -44333202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-3)*1\/5. Solve -i = -y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from yncqqeoy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -8. Let p = 6 + v. What is the remainder when 6 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 83.4. Let w = 8.3 - r. Let x = w - -6. Which is the nearest to x? (a) 0.1 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*c + 122 = 4*m, -c = 2*m - 67. Let b = m + -10. Calculate the lowest common multiple of 8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 2, t: 2, v: 7}. Give prob of sequence ct.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 + 7 - 17) + 13 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -25. Let r be (-6)\/t*(1 + -5). Let b(d) = 3 + 0*d - r + d. Let k(l) = l. Give k(b(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 9 - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r + 1\/2*r**2 + 1 - 3\/4*r**4 + 0*r**3. Find the second derivative of m(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1013*j + 4048. Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318011796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2*(-18)\/(-12). Let b be (r\/(-2))\/((-4)\/8). Suppose 2*a - b*x = 1004, 0 = -a - x + 274 + 223. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 6 - (-10 - (-5 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s - 3. Calculate the remainder when 17 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 22*k**2 - 6*k - 81. Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 29*n. Let t(o) = -323*o**2 + 7803*o. Give t(l(m)).\nAnswer: -271643*m**2 + 226287*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, -10, 140, -3.\nAnswer: -10, -5, -4, -3, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266228*i*u**3 - 44*i*u**2 + 2*i*u - 488*i wrt u.\nAnswer: 1597368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from vwwrwxewwr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -850 by -2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b + 4. Let u be h(4). Suppose 0 = w - u - 1296. Let c = w - 9410\/7. Calculate the common denominator of c and -55\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 143515616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 + -0.05. What is the closest to 0.2 in 3\/5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 60?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(14\/(-6) + 3). Let f = b - 1. Is f at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 147797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25609873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 15507466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 149 + 46. Let a(s) = -294*s - 112. Let l be a(-3). Suppose l = -78*k + 83*k. Calculate the remainder when k is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282173 + -0.075?\nAnswer: 282172.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 6. Determine p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -979?\nAnswer: -3\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4832690 to the nearest ten thousand.\nAnswer: 4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 384\/32*(-15)\/(-630)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 856\/3 + -281. Let m = -13\/555 + 251\/185. Factor a*r + m - 7\/6*r**2.\nAnswer: -(r - 4)*(7*r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9690 and 0.041.\nAnswer: 397.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.24, 0.7, -14\/1369 in decreasing order.\nAnswer: 0.7, 0.24, 2\/23, -14\/1369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 0*r + 5, -2*r = 4*b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -41*g**3 + 7*g**2 - 7*g - 17. Let v(u) = -21*u**3 + 4*u**2 - 4*u - 8. Let p(d) = -4*k(d) + 7*v(d). What is the derivative of p(i) wrt i?\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1395435*d**5 + 20760*d**2 - 13*d wrt d.\nAnswer: 83726100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*l**2 - 84*l**2 + 152*l**2 - 3 as f*l**2 + q*l + t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9821.2 and -0.18.\nAnswer: 9821.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*c*i*n**2 - 7*c + 1153*i*n**2 - 2*n**2 with respect to c.\nAnswer: -39*i*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.131 + -5.131. Which is the smallest value? (a) -2 (b) -1 (c) h (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 26*u**2 - 161*u - 34. Give c(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonno. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 48*v - 38. Suppose 0 = 5*i - 10*i + 115. What is the units digit of y(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p - 36 = 0. Suppose -l = 4*x + l - p, -2*l = 2*x - 8. Factor -2 + x + 2*w**2 - 2.\nAnswer: 2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157 - -264?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 1033. What are the prime factors of y(0)?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 14 - 34 = -52*f, 3*q - 4*f - 115 = -0*f for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**4 - 6*c + 4*c**4 - 7*c**2 - 2*c**3 + 16*c**4 + 18*c**4 + 2 - 49*c**4 to a*c + z + b*c**3 + l*c**4 + y*c**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 10947509.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3063*s**2 + 255\/4 - 4092*s**3 + 16*s**4 - 3061\/4*s = 0. What is s?\nAnswer: 1\/4, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 5. Let j(c) = 11*c + 8. Let x(b) = 5*j(b) + 8*p(b). Let u(s) = 91422 - 200*s - 91422. Calculate u(x(w)).\nAnswer: 200*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133133502 to the nearest integer?\nAnswer: 11538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1328 and 6806.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157885831?\nAnswer: 29, 47, 115837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -336, -314, -290, -264?\n\"Answer: a**2 + 19*a - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*3)\/(sqrt(3) + sqrt(9)\/(sqrt(3)*2)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/60 + 5*t**4\/12 - 3*t**3\/2 + 92*t**2. What is p(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4 - 1 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 2. Let x(j) = j. Determine n(t) - 2*x(t).\nAnswer: -5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -78000 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/5 + 382*r**4\/5 - 9546*r**3\/5 - 44582*r**2 + 2217736*r\/5 + 486144 = 0. Calculate r.\nAnswer: -211, -20, -1, 9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, x: 1, j: 1, q: 1}. What is prob of picking 1 x and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 12. Suppose -5*c + 27 = -j. Calculate the remainder when 13 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 8 = -2*r, 326*r - 322*r = -i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4150, -5, 5, 2, -8 in descending order.\nAnswer: 5, 4, 2, -5, -8, -4150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose c = -5*b + 2*b + 4*j + 26, -b + 5*j + 5 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.2 and 104?\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-30)*(-1 - -1). Suppose -3*s = d - j*d - 237, 0 = s. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 2*w - 5*z - 79 = 0, 51*w + 53*w + 6*z - 26 + 76 = 100*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0*y**3 + 0 + 19*y - 4*y**2 + 47\/6*y**4. Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 86?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 3*z - 2*z + 3*z + 2*z - 3*z + (-2 + 1 + 0)*(-4*z + 3*z + 2*z) + (z + 0*z - 4*z)*((6 - 2 - 3)*(3 + 0 - 1) + 109 + 7 + 48).\nAnswer: -493*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 33*f - 68*f.\nAnswer: -79*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = 3*v, 41 = -2*y + 3*v. Let h be 2 - (-23 + -1 + -2). Let o = h + y. Solve 6*b - o = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**4 + 8895*y**3 - 6365 wrt y.\nAnswer: -8*y**3 + 26685*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-66) + (-4)\/22. Put 3, a, 11 in ascending order.\nAnswer: a, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuwe when four letters picked without replacement from smmuusmwmummuue?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3545773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d + 0*d)*(3 - 4 - 7) + (2 - d - 2)*(-1 + 1 + 1) in the form o + q*d and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 8*p**2 - 10*p - 8. What is u(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 572510*h**3 + 40932864064*h**2 + 5454202755176*h = 0.\nAnswer: -133, 0, 143194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:10 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 315*p - 2173. Give t(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81\/9 - ((-3882)\/2 + 5).\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 + -194. Sort p, -5, -7.\nAnswer: -7, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4991.5883 + -4992. What is b rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197374050167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12526 = 18*k + 12472. Let g(j) be the second derivative of 2\/3*j**k - 15\/2*j**2 + 27*j + 0. Differentiate g(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**4 + 5*z**3\/3 - 7. What is the third derivative of t(c) wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - 4*l**2)*(944 - 944 - 44*l).\nAnswer: 176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) - -3*sqrt(68)) - (sqrt(68) - ((sqrt(68) - (-2 + sqrt(68)*-3)) + sqrt(68) + sqrt(68))))**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfa. Give prob of picking 2 f, 1 a, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h + 3*h + 8*h**2 + 6*h wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4765, 5426, 6095, 6778, 7481, 8210?\nAnswer: 8971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and -1 + 2*44\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 285117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 116\/(-30) - 196\/(-105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(4430\/(-2218) - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*k**2 + 11*k**2 - 17*k**2)*(-k**2 - 3*k**2 + 3*k**2) to the form x*k + v*k**3 + p*k**4 + l*k**2 + z and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-5))\/((-6)\/(-60)). Let k be (p\/264)\/(6\/(-8)). Factor 0 + 0*o + k*o**4 + 0*o**2 + 2\/11*o**3.\nAnswer: 2*o**3*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634 and 152823.\nAnswer: 96889782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let c = 1898 + -1894. Let f = 0.43 - 0.03. What is the nearest to -1 in c, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4528647.16 + 4528320.901701. Let p = 327.9382 + q. Let f = p + -1.68. Round f to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1342.\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2247, -2236, -2215, -2184?\n\"Answer: 5*f**2 - 4*f - 2248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**2*k**4 + 3*b**2*k - 27*b*k**3 + b*k**2 + 4*b*k - 7*k**3 - 46*k**2 wrt k.\nAnswer: 216*b**2*k - 162*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40719 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 15. Calculate the greatest common factor of 176 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 at least as big as -287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2593287?\nAnswer: 3, 43, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6199\/13 + -477. Sort -2\/65, n, -2\/5, 2 in increasing order.\nAnswer: -2\/5, n, -2\/65, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*225\/(-1425)*(-16)\/(-12)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d - 8. Let t be v(8). Let h = t - 23. Suppose -2*r - h = -183. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4\/(-14) - 1. Let r = -42644 - -42643. Let b = -1.7 + -10.3. What is the smallest value in k, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(-6)\/(-9) - -2. Let b = 15 + s. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530.22 times -4?\nAnswer: 2120.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4640 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23396 by 5849.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 2*f - 24 = -0*h - 9*h, -12*f - 176 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**3 + 9*g**3 - 17*g**3)*(-6 - 2 - 1 + 1 + 0 + 1 + (-2 + 6 - 2)*(-1 + 1 - 1) - 1 + 4 - 2 - 4 + 0 + 5).\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2)\/(-6 + 5). Suppose -k + 0*k = -o*d + 9, 3*k = 0. Let 2 - j**2 + d*j**3 - 2*j**3 - 5*j - 5 = 0. Calculate j.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 516 = 1491. What is the remainder when s is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in days?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.2 (c) -45 (d) 0.5 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u. Let f(o) = -11*o**3 + 5*o**2 - 21*o. Let d(c) = f(c) + 5*h(c). Find the second derivative of d(m) wrt m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6205 from -173161.64.\nAnswer: -173162.2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/5))**19\/(o**(-13)\/o*o*o**(-1\/4)) assuming o is positive.\nAnswer: o**(949\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 3*s - 8*s)*(0*s + 0*s - 2*s**2)*(3 - 3 + s**2).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**3 + 2*m**2 - 1. Let q be s(1). Suppose -27 - q = -4*d. Suppose -3*z = -z - d. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + u - 25)*(-4 + 4 - u)*(-1 + 1 - u**2) + u**4 - 2*u**4 - u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23847312 divided by -993638\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 + -174. Let k = 8 + t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 16. Suppose -b = q - 3*q. Suppose 0 = 2*z - q - 1. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.21 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {r: 1, w: 5, l: 3, g: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/7 and 33\/37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 532 + 12*c**3 + 4*c**2 + 529 + 5*c - 1061 + c**4 to j + p*c**2 + y*c + k*c**4 + s*c**3 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9229 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s + 63*s = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 87*g - 4363. Determine w(61).\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3425 - -3437. Calculate the highest common divisor of 123 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 - 110011101101?\nAnswer: -110100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/50 + 6*y**4\/5 - 19*y**3 - 722*y**2\/5 + 242*y. Factor d(z).\nAnswer: -2*(z - 19)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsmeqwmsmzswsmw. What is prob of picking 1 e, 1 q, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -314, -630, -948, -1268?\n\"Answer: -i**2 - 313*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18720*o + 206555. Calculate i(-11).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 63*z**3 - 6*z + 4. Let i(x) = x**3 + x - 5. Let d be i(0). Let h(y) = y**3 + y**2 - y + 1. Let g(f) = d*h(f) + a(f). Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(4840))\/sqrt(8).\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-5*1*sqrt(300) + -4 + -2)*-5)**2)*5*-2.\nAnswer: -1884010 - 150000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from qzzqz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 - 15*t**3 - 5*t**3 - 10*t**3 - 8*t**3 + 45*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354332 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 29 = z, 2*z = 1153*y - 1158*y - 49 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 15. Let g(h) = h**2 + 2*h - 1. Let n be g(-3). Suppose 4*u + 268 = 4*f, n*f + 86 = -4*u + 238. What is the highest common factor of f and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 57*i + 376. Let m be d(-6). Put -4, 18, 9, m in decreasing order.\nAnswer: 18, 9, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*u + 4*p - 48, 5*u = 3*p + 146. Let b(i) = i**2 - 30*i + 61. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25624*n**3 + 39*n - 881375 wrt n?\nAnswer: -76872*n**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*p**2 - 7*c**3*p + c**2*p**2 + 29*c**2 + c*p**2 wrt c?\nAnswer: -24*p**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**6\/280 + n**5\/14 - n**4\/56 - 5*n**3\/7 + 3*n**2\/2 + 10*n + 5. Let l(m) be the second derivative of s(m). Solve l(i) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -61, -98, -141, -190, -245, -306?\n\"Answer: -3*b**2 - 22*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5858434 weeks?\nAnswer: 98.4216912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54554, 108950, 163322, 217664, 271970?\n\"Answer: -b**3 - 6*b**2 + 54421*b + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129130715 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = z - 8, 9434*d = 9431*d + 92*z - 546 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 2\/19, 37, 0.1844, 1\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 7, -0.2, 0.097 in descending order.\nAnswer: 16, 7, 0.097, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c*c)\/(c*c**7))\/(c\/(c*c*c*(c\/(c*c**1))\/c*c))**3 assuming c is positive.\nAnswer: c**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4424719140 to the nearest integer?\nAnswer: 66519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -4, -2, 7.\nAnswer: -21, -4, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 49.1. Let a = -45.942 - 2.258. Let z = x - a. Are 4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30968229.\nAnswer: 3, 1583, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*d**3*x + 955*d**2*x + 111006*x wrt d.\nAnswer: -51*d**2*x + 1910*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -16*j**2 + 80*j + 7. Give u(7).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*a - 282*a = -5*r + 24623, -5*r + 2*a = -24641. What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*v + 465, 0 = h + 2*h - 5*v + 1345. Let j = h + 726. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 3*m + 2. Calculate d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (33\/(-77) - (-4)\/(-7))\/((-13)\/44226)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/88 - 2\/(-11). Let u be (6\/(-8))\/((-1 + 4)\/12). Sort -20, i, u.\nAnswer: -20, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1168, -2340, -3516, -4696, -5880, -7068, -8260?\n\"Answer: -2*r**2 - 1166*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57193251587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16*v**3 - 621*v**2 - 1337*v - 667. Let x(g) = 11*g**3 + 413*g**2 + 892*g + 445. Let z(q) = -9*o(q) - 13*x(q). Determine k so that z(k) = 0.\nAnswer: -218, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, q: 1}. What is prob of picking 1 m and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1258 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -148 + (84 - -5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 109568?\nAnswer: 328704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -0.05 (c) 3 (d) -40\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n. Suppose 5*g - 1 - 9 = n. Let y(k) = 5*k**2 - 2*k**g - 2*k**2 - 2*k**2. Let a(f) = -2*f**2. Calculate y(a(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -565*i**3 - 46*i**3 - 3 - 24*i**2 + 3 - 95*i**3 wrt i.\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5030609, -10061220, -15091831, -20122442, -25153053, -30183664?\n\"Answer: -5030611*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17794 and 3280.\nAnswer: 711760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttff. Give prob of sequence tftf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/8)\/t)\/t)**16 assuming t is positive.\nAnswer: t**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i + 776 - 842 = 0. Solve -5*c = -2*z - 15 + i, -3*z = c + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14849*x + 2108585. Give m(-142).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15760 = -5*l + 5*g, 2*l - g + 1227 = 7539. What is the remainder when l is divided by 176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4930732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 65*w**2 + 131*w - 7. Calculate the smallest common multiple of 1916 and v(2).\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = o - 30101, -282*o + 277*o + 4*p + 150361 = 0. What are the prime factors of o?\nAnswer: 19, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101200210100 - -21?\nAnswer: 20101200210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 divided by -146?\nAnswer: -1101\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l + 3. Let g be c(-4). Suppose -g = 5*y - 2*r - 23, 4*y = -r + 29. What is the least common multiple of 111 and y?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -37 in descending order.\nAnswer: -1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1465\/13185*(-1)\/2)\/((-2)\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -2.07. Let t = w + 1.9. Let o be (-5)\/90*68\/(-17). Which is the third smallest value? (a) t (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004613 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 180302266 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 9. Let y be u(-6). Suppose y*m = 3*a + 102 - 315, 5*a - 373 = -m. What is the greatest common divisor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22984600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2*s + 11*s)*(-8 - 16 + 6) to the form y + d*s and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*c**3*f*h + 1080*c**3*f - 13*c**3 - 5*c**2*f - 10*c**2*h - 3*c**2 + c*h + 2*f*h + 39*h wrt c.\nAnswer: 108*f*h + 6480*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645381?\nAnswer: 19, 86599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11.201+-3876602284.4\nAnswer: -3876602273.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:03 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-215)\/10)\/1*2. Let x be (13\/(-4))\/((-1)\/(-8)). Let j = x - k. Calculate the greatest common factor of 119 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379*v**2 + 1375*v**2 - 4151*v**2 + 1379*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:10 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27 - -3)\/((-6)\/4). Suppose z*l = 25*l - 3447. What are the prime factors of l?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 12. Let v be (-9)\/5 - d\/5. What is the closest to 1\/2 in 2\/9, 0.1, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**8)\/(a*a**(-1\/12))*a**(-3\/5)\/(a*a*a\/(a*a**(-4))) assuming a is positive.\nAnswer: a**(-871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 29*q**4\/12 + q**3\/6 + q**2\/2 + 5*q. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -46. Suppose 0 = -1163*z + 1132*z + 32271. Suppose 579 + z = k*i. What is the least common multiple of 7 and i?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63050 and 72750?\nAnswer: 945750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2 + 2)*(-46 - 3 + f**2 - 11) as x*f**2 + j*f**3 + m + d*f and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 3*d - d + 65 - 19*d - 65 + 4*d - 6*d - 2*d + (0 - 1 + 3)*(0 + 0 + d))*(0 - 3 + 5).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88793, 88800, 88825, 88874, 88953, 89068, 89225, 89430?\n\"Answer: r**3 + 3*r**2 - 9*r + 88798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/10)\/(-1*(-6)\/(-105)). Let p(o) = r + 5*o - 1 + 3 - 6. Let v(a) = 2*a + 1. What is 3*p(w) - 8*v(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p + 11. Let q(g) = -4*g + 6. Let i(x) = -5*q(x) + 3*s(x). Suppose -c - c = -12. Let f be (c\/(-4))\/((-6)\/8). What is i(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1465)\/(-485) - (1 - -2). Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 14. Let s = -19 + 27. Let f be g(s). Suppose 1 = -i + f. Solve i*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2819*p - 29421 - 69244 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11602\/5 - 52\/130?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268450.015 rounded to the nearest 1000?\nAnswer: -268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 199427 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*x - 16788 = 0, k + 6*x = 9*x + 4204. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*n**3 - 2*h**3*n - 785*h**3 + 241*h*n**2 wrt n.\nAnswer: -6*h**3*n + 482*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 43 + 5. Let u(k) = 2*k - 6. Let t be u(5). Suppose 4*o + 76 = t*x, 7 = 2*x + 4*o - 7. Calculate the remainder when x is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30677\/2 + -92039\/6. Let q = -7.5 - -7.453. Which is the second biggest value? (a) 1 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654026257 is divided by 3577.\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {i: 7, r: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.3 (b) 0.16 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20075639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d - 6 - 1 - d**2 - 1. Let h(c) = -7*c + 28. Let t be 2 - 10\/(30\/(-9)). Let j be h(t). Give k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9155.052mg?\nAnswer: 0.000009155052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + 3784\/99. Let p(w) = y - 3*w - 38. Let d(v) be the second derivative of v**3\/6 + v. Determine d(p(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 14 = 2*w + j, 0 = 2*w - j - 10. Let p(k) = k - 1. Calculate p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473486 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/759, 0.02 in increasing order.\nAnswer: 2\/759, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l + 1\/3*l**3 + 0 - 1\/8*l**4 - 4*l**2. Determine b(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*s - 462*s - 3*w = -232*s + 6, 3*w + 8 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2. Let o(q) = -2027077*q**2 - 8129*q - 138193. Let t(m) = 1496*m**2 + 6*m + 102. Let p(i) = -6*o(i) - 8129*t(i). Give p(f(l)).\nAnswer: 23648*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 201, 223, 241, 255, 265, 271?\n\"Answer: -2*n**2 + 28*n + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:56 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3 + 3. Sort 5, 4, r in ascending order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 0, -5*u + 0*p + 2*p + 173 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 67123.\nAnswer: 5369.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 17*d + 8. Let k be -3 - (2 - (-2 - 1)). Let o be c(k). Suppose -a + q + 34 = 0, -a - 3*q = -o*a - 34. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 - h - 5. Let o be 30\/(-9)*96\/(-20). Suppose 3*t = 7*t + o. What are the prime factors of c(t)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 86 = 5*v + 261, 227 = -4*o - 8*v - 53 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 7*y. Suppose y + 1 = q. Solve 2*t = -q*d - 2 - 8, 3 = 3*t + 3*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -5, -2\/23, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b4 - 0?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -4 (b) 2 (c) 274 (d) 1\/2 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 + (4 - -5) + -5. Is ((-13)\/((-312)\/2032))\/((-4)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-11) - (-1)\/(22\/(-4)). Solve 2*v + 16 = -i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 7*a**2 + 4*a + 10. Let h be s(-8). Let o = h + 7. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000840492 to seven decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -963620*i - 856225?\nAnswer: -963620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*s**4 - 160*s**4 - 56*s**4 + 3*s**4 + 0*s**4 + 5*s**4 + (0 + 0 + 1)*(s**4 + 4*s**3 - 4*s**3) - 2*s**4 - s**4 + s**4.\nAnswer: -187*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 8*i - 3*i + 0*i. Let v(q) be the third derivative of 0 + 0*q**4 - 1\/15*q**5 + 0*q**3 + 0*q + q**2. What is v(s(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15279 + 32411. List the prime factors of h.\nAnswer: 2, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20608 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 9 in descending order.\nAnswer: 9, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-484)\/24 - ((-1547)\/78)\/17) + 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 17. Suppose -2*c + a*c = 66. Let v = 15 + c. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*(w\/(w**3\/w))\/w))\/(w*w**(1\/2)*w))\/(w**(1\/3)*w*w**(5\/2)*w))**(25\/6) assuming w is positive.\nAnswer: w**(-325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w + 9 - 2*w - 9*w + 7 - 12 - 3*w + 4.\nAnswer: -2*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*o - 25 = 0, k + 4*o - 80 = 5*k. Let x(u) = -u - 13. Let p be x(k). Suppose 0 = p*c - c - 42. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 995 * -7512.3.\nAnswer: -7474738.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54741.\nAnswer: 3, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 24. Let r be k(-9). Solve r = -4*n + n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 80\/301 (b) -3.71 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1529 + -757. Suppose -452 = -4*i + h. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 14*f - 574. Let c be y(-21). Solve -15 = s + 4*s - 5*d, 3*s + c = 4*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53636.13 + -5333670.87. Let c = m + 5386669.9703. Let z = 637 + c. What is z rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 12:25 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Let o = -339 + 343. What is the greatest common factor of o and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -22920?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*q + 15 = -b, 0 = 3*b + 5*q + 25. Let s be (-712)\/(-623)*((-3)\/2)\/1. Put 4, b, s, 2 in descending order.\nAnswer: 4, 2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 12. Let v = 5 - i. Let m(h) = 6*h - h**3 + 4*h**2 - 4*h**2 + 4 - 3*h**2. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*6*(sqrt(208) + 1 + 5))**2 + (1*sqrt(208) + sqrt(208) + -4 - (4 + (1 + sqrt(208) - sqrt(208))))**2*1).\nAnswer: -29091 - 4752*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/7 + 5340*u**2\/7 - 2376300*u\/7 + 352484500\/7.\nAnswer: -4*(u - 445)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -22, 750, 3 in decreasing order.\nAnswer: 750, 3, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -q + 135. What is the highest common divisor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (3 - -6 - 33) - (-1 + 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q - 8 + 152 = -14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -34*a**2 - 4657*a - 187. Give t(-137).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4 + 8. Suppose -11 = -t - n. Suppose -f = 0, u - 5*u + t = 3*f. Solve -5*l - 32 = 3*v, -u*v - 3*v - 24 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14908.79049 - 14909. Round y to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*z**3 - 738*z**3 + 100*z**2 + 372*z**3.\nAnswer: -2*z**3 + 100*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -141243.8 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873297 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*v**4 + 2*v**3 - 3443*v wrt v?\nAnswer: -1440*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/(-40)*(-4 - 0). Suppose 0 = 6*m - f*m - 6. Find the first derivative of -7*x**3 - 37*x**2 + m + 37*x**2 wrt x.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22\/(-4)*-219*(-1 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 8046 + 640 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8.26 (b) 14 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6058757 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: Suppose -1 = -c, -5*v + 4*c + c = -7225. Which is smaller: v or 1447?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-30) - (-3)\/45. Let j = -4 + 7. Which is the biggest value? (a) z (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from cucumcwlfclwuff.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -81\/4. What is the closest to 0 in -13, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623131 is divided by 81156?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16397*2.8\nAnswer: -45911.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12901, -25804, -38707, -51610, -64513?\n\"Answer: -12903*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 104 - 81. Suppose 2*r - l - 61 = 0. Suppose -3*h = -5*u - 55 - r, -3*u = 12. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9807415 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46723.9379 rounded to the nearest one hundred?\nAnswer: -46700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v**4 - 1 - 2*v**3 + 5*v**2 + 8*v - 6*v - 4*v - 3*v**2 to y + n*v + f*v**3 + r*v**2 + c*v**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**2 - 11*a - 25. Let l(v) = 3*v**2 + 6*v + 12. Let r(w) = 5*l(w) + 2*n(w). Let k(m) = m**3 - 5*m**2 - 3*m + 7. Let p be k(5). What is r(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315 - 315.2. Which is smaller: -1.25 or y?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/24 + 5*b**3\/3 + 2*b**2. Let w be m(-7). Let t = w - 6. Let s(z) = -z**2 - 7*z - 4. Determine s(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/(-81))\/(-5))\/(((-5)\/5)\/((-702)\/(-30)))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.8. Let x be 164\/(-114) - (-12 - (-2938)\/247). What is the second biggest value in i, -4, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 3100245?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 103. Let b(r) = -5*r - 6. Let d(w) = 1. Suppose 24*h = -17*h - 164. Give h*d(g) + i*b(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 14 - 6. Suppose g + m - 2 = 0. Let j be (0 - (2 + 1)) + g. Sort -1, 2, j in ascending order.\nAnswer: j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - 0 - -5 - (-37 + 70 - 24)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2577018 = -165*r + 992262. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. What is the derivative of 8 - w*n + n - 9*n + 0 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 5)*9\/(-6). Suppose 48 = -x*v + 174. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22602008 and 75592.\nAnswer: 22602008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = m - 4, 3*m + i = -4*i + 52. Solve 0 = 4*l - 5*p - m - 4, -l = -2*p - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j - 5\/3*j**3 + 1\/1260*j**6 + 1\/21*j**4 + 2 + 0*j**2 - 1\/105*j**5. Let w(h) be the third derivative of l(h). Factor w(u).\nAnswer: 2*(u - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, u: 4, j: 4}. What is prob of picking 2 u and 2 s?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + r + 2, 5*r - 8 = -m - m. Let w = 0 - m. Solve -w + 13 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 4151047248.593?\nAnswer: 4151047250.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81673.27 times 0.103\nAnswer: -8412.34681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 19 = 3*a - 5*o, a = 5*o + 18. Let u = 26 - 15. Let x = u - a. What is the remainder when 8 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332055377.\nAnswer: 101, 3287677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779808973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 819967 plus -10835?\nAnswer: 809132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3674*r - 49473 + 106908 = -63807 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*v - 20, 4 = -v + 4*i - 9*i. Solve -v = -13*o + 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, h: 3, c: 1, e: 1, b: 1, k: 2}. Give prob of picking 2 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6105?\nAnswer: 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 9*s**2 + 2*s + 26. Let p be z(-8). Let h = p - 220\/3. Factor -2\/3*c**3 - h*c**2 + 1\/3*c + 1\/3*c**4 + 1\/3*c**5 + 1\/3.\nAnswer: (c - 1)**2*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50*-1*(-617 - -616) - 13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.1 - -16.9. Let h = 0.216 - -21.804. Let q = a - h. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (6 - (2 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*b - 3 + 36*b + 6 + 0.\nAnswer: 221*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/6*(-84)\/(-126)*9\/(-12)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*n - 3633 = -544*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 - 33 = 0. Is 9 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14709, -29691, -44919, -60399, -76137?\nAnswer: -92139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893*b - 970*b - 225784 = 308*b for b.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m + 403. Let j be w(-21). Let h = 33 - 44. Sort j, h, -5, -2 in decreasing order.\nAnswer: j, -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 4. Suppose -5*o = -3*a - 34 - 12, -3*o - 2*a = -20. Calculate the remainder when 2\/o - 524\/(-16) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28117094 to the nearest one thousand.\nAnswer: -28117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let h be 9\/z + (-3)\/12. Suppose 0 = -n + h*n - 64. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67737250?\nAnswer: 2, 5, 7, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -5, 2419 in descending order.\nAnswer: 2419, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1080) - sqrt(30))\/((3*sqrt(6) - sqrt(6))*1).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3197480145 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 26*h + 157. Let d be l(-31). Let g be -39 + 33 - (-6 - d). Let r be 21*(2\/3 - 0). Sort 4, r, g in descending order.\nAnswer: r, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -155.3\nAnswer: -621.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, q: 3, a: 5, d: 1}. What is prob of picking 2 q and 2 a?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21095454 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -27*v + 69 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14466)\/(-84385)*((-2)\/((-30)\/(-35)))\/(-25)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44002*u - 40147*u - 25134 + 129219 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 665389.\nAnswer: 25284782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + (192 - (58 - -44))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 14 = -5*t + 19, 5*t - 5*a - 35 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*y - 544 = -118*y + 414. Factor -4\/5*k**y + 2\/5*k + 0 + 2\/5*k**3.\nAnswer: 2*k*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) 364 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.01 - -3. Let t = 167\/246 - 1\/82. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/60*55370 - (45\/6)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018114768 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 17*p. Suppose -18*o = 35*o - 7*o + 138. Let b(t) = -16*t. What is o*b(f) - 4*d(f)?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(78\/286 - ((-2938)\/(-143))\/2)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 9*y - 20*y.\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:33 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 0 + 0 + (11*g - 27*g + 15*g)*(-4*g + 2*g + 4*g) - 3*g + 3*g - 4*g**2 + (-g - 2*g + 2*g)*(g + g - g) + 4*g**2 - 2*g**2 + 0*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(52) + 0.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 1 - 4. Let i(o) be the first derivative of -o**2 - 1\/3*o**3 + 4*o + y. Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.319363 rounded to 0 decimal places?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 4407 and 4406 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 + 46*n - 16. Let p(c) = 13*c**2 - 48*c + 17. Calculate -3*p(w) - 4*x(w).\nAnswer: -3*w**2 - 40*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70853 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:03 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 15. Let r(c) = -4*c - 15. Let p(y) = -2*q(y) - 3*r(y). Let z be p(-8). Is (-334 - z)*4\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 155, 319, 645, 1187, 1999?\nAnswer: 3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102110112 + 10?\nAnswer: 10102110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/(-15))\/((-4)\/36). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -29*n**3 - 14*n**2 - 20*n + 20. Let s(b) = -9*b**3 - 5*b**2 - 7*b + 7. Let f(i) = 17*s(i) - 6*w(i). Determine f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3357 - 1248. Suppose 4*i - 2273 + x = 0. Suppose 5*q - i = 4*b, q + 3*b + b = 82. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 295733294 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 2*m + 5. Let y(a) = -4*a**2 - 3*a + 5. Let k(t) = -3*j(t) + 2*y(t). Let b = -16 + 23. Is k(b) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0 + 5*v**2 + 1\/24*v**4 + 1\/180*v**5 + 0*v**3 + 0*v. Solve z(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.431 - -0.431. What is the closest to k in 8, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249642513.1 less than 1795?\nAnswer: 1249644308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 - 2*a + 2*a + 6*a**2. Let h(p) = 6*p**2. Let b(u) = u**2. Let w = 15 + -26. Let i(g) = w*b(g) + 2*h(g). Determine i(x(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -4*j + 6*j**2 + 1\/12*j**4 + 2\/3*j**3 + 0. What is a(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*g - 13, 0 = -2*g + 4*g - 2*l + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157239 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 40\/12 - (-16)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(7\/(-14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 18*d + q = -15, 0 = -2*d + 5*q + 23. Let c be (3 + 4 + -6)*d. Solve l - 1 = 2*g - 0*g, -4*l = -4*g + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723564502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -69. Let l(b) = 2*b + 1. Let k be l(1). Suppose -4*t = 6*a - 2*a - 64, k*t - 48 = 3*a. Calculate the smallest common multiple of u and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062566 divided by 7?\nAnswer: -1062566\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -51\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(1863\/108)*((-123)\/(-82))\/(1\/(-2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28\/19 - 93\/76. Let m = -1.9 + 2.94. Let g = -0.04 + m. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**2 - 38*g + 24. Let v be d(7). What is the remainder when 110 + 15\/(v\/20) is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - 3) + -6 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, q: 3, r: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5657, 11334, 17029, 22754, 28521, 34342, 40229?\n\"Answer: 2*p**3 - 3*p**2 + 5672*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -46. Let y = -40 - f. Solve 5*i - 45 = 5*w, -2*w + y + 2 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 9*j = 2*n + 94, 4*j = -4*n + 172. What is the lowest common multiple of j and 110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28715 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: Is 53372863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l + 309. Let c(i) = -i - 1. Calculate -4*c(f) - 2*h(f).\nAnswer: -2*f - 614","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -3a?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 625949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 39*g\/2 + 40.\nAnswer: -(g - 80)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 - 118475*f**2 - 592500*f = 0. Calculate f.\nAnswer: -5, 0, 23700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c78 (base 13) in base 2?\nAnswer: -10001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c - 3. Let a be o(-5). Let j be (-22)\/((-8)\/(-4)) + (-2 - -4). Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*s + 32 = 0, -5*s + 1 = 5*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.107 to 0 decimal places.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -11*z**5\/20 + z**4\/6 + z**2 - 1116*z. Let i(w) = -w**2. What is a(m) + 2*i(m)?\nAnswer: -11*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:08 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 656325067 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*t + 770 = 35*t. Let z(x) = -14*x - 53. Determine z(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5451.6 + -5451.6037163. Round s to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:56 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 16*y - 11. Let m be a(7). Solve 0 = -m*s - 14*s + 85 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116129, 929026, 3135407, 7431998, 14515525, 25082714, 39830291, 59454982?\nAnswer: 84653513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Let r = -8 - -2.7. Let n = i + r. Which is greater: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - (54 - 65).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + (-30)\/(-6))*(-1)\/(-2). Suppose s = -4*x, 2*x - x - 44 = 2*g. Which is bigger: -64\/3 or g?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(1 - 76\/(-20)). Factor v*n**3 - 6\/5*n + 0 - 21\/5*n**2.\nAnswer: 3*n*(n - 2)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.95 + 0.05. Let h = 0.427 + -0.027. Which is the closest to 0? (a) -0.1 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 16b2?\nAnswer: -16b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.12 + -6.56. Let k = 1.42 - 1.6. Let j = t - k. What is j rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 491*s**4\/12 - 2118*s. Let p(w) = -3*w. Calculate p(m(d)).\nAnswer: -1473*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 125856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1547989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-1*sqrt(11)) + -2*sqrt(12)\/sqrt(4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1662 or 15503?\nAnswer: 1662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14579 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 113*q**2 + 234*q - 39443. Determine w(114).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11059 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -411\/16, 0.537, 0.007, 0, -0.4?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let k(c) = 6*c. Determine 39*j(z) - 6*k(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8214, 16402, 24590, 32778, 40966, 49154?\nAnswer: 57342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-12))\/((-4)\/6). Suppose t*z + 3 + 9 = 0. Are z and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + (-58)\/(-6). Let q = -23341.3 - -23341.5. Put 1\/7, x, q, 5 in ascending order.\nAnswer: 1\/7, q, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 39*o**2 - 10*o + 21. Suppose 54 = 6*c + 6. Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*j*v + a*v**3 + 405400*j*v**3 + 4*j - 2*v**3 + 12*v**2 + 115012 wrt j.\nAnswer: a*v + 405400*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 43*t + 8 = 5*h, 2*t = 8. Solve -5*c = -2*b - 10, -h*b - 20 = 3*c + 2*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(-38)*(-15 - 1). Suppose -4*q = d*q - 1404. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 516*l - 3204. Calculate o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-454)\/(-6) + (-3)\/(-9). Let f = -29 + j. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkki when four letters picked without replacement from iiikkiqkfk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-14)*24\/(-36)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:51 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320523903 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-2) - 0) + -10. Let x = 16 + i. Suppose 0*y - x*y + 52 = 0. Solve 2*q = 2*s - q + 7, -y = 4*s - 5*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (213 - 206) + (6 - -8)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 274, 273, 282, 307, 354?\n\"Answer: b**3 - b**2 - 5*b + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1030044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078112282 a multiple of 4038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*b = 15, 4*l - 2*b - 10 = -0. Let j = -26 + 29. What is the third smallest value in 1, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2736*c**4 - 4568*c**2 wrt c?\nAnswer: 65664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45690040 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70030 - 2660925\/38. Let b = -60\/19 + k. Determine x so that 1\/2*x**4 - 4 + 3*x**2 + b*x**3 - 2*x = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/(3*3\/81). What is the closest to 2\/9 in -0.3, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:05 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85318689 to 4 decimal places.\nAnswer: -0.8532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - (-111)\/(-12). Let p(u) = u + 12. Let n be p(v). Find l, given that 3*l**2 - 12*l**3 + 6*l**3 + 6*l**4 - n*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10914, 21851, 32788?\nAnswer: 43725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -346. Let v be (-1)\/(-2)*(3\/699)\/(-1). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -370.8 + 325. Let r = y - -46. What is the nearest to 0.04 in r, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 + 12.86. Let t = c + -11.5. What is t rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-3*4\/18. What is the second biggest value in -1\/2, y, 1\/8, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*z - 4, -4*z + g - 10 = 6*g. Suppose -2*v + 0*v + 4 = z. Let t = -0.0934 - -0.2934. Put 3\/2, t, v in descending order.\nAnswer: v, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/103 - -1701\/1030. Calculate the common denominator of (-130)\/(-308) + 6\/(-21) and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2447*h**2 - 2371*h**2 + 4915*h**2.\nAnswer: 97*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12036407 (base 9) to base 16.\nAnswer: -59929f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3322, -6645, -9968, -13291, -16614, -19937?\nAnswer: -23260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 54, 3\/5 in increasing order.\nAnswer: -66, 3\/5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13436 - 13426. Calculate the greatest common factor of v and 10940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/3, -4\/165, -4.\nAnswer: -4, -4\/3, -4\/165, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-14)*14\/4. Suppose 0 + n = -y. Let q be -6 + (0\/1)\/y. Let f(p) = -p**3 - 5*p**2 + 6*p - 5. Determine f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 66016830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 34*m - 4\/5*m**5 + 0*m**3 - 5\/12*m**4 + 0*m**2 + 0. Find the third derivative of u(h) wrt h.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/232743 or 0?\nAnswer: 4\/232743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**7\/840 + w**6\/240 + w**5\/20 - w**4\/6 - w. Let j(y) be the third derivative of m(y). Factor j(k).\nAnswer: -3*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a54 (base 16) in base 13?\nAnswer: -1285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 11*i = -2*o + 149, i - 2*o - 25 = 0. Calculate the greatest common factor of i and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 - 13*o**4\/6 - 457*o**2. Let v(l) = 3*l. Determine u(v(k)).\nAnswer: 9*k**2 - 156*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 4. What is the remainder when ((-1)\/2)\/((-2)\/v) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261 less than -12568?\nAnswer: -11307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3376 + 3382. Do a and -162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1270545960 and 3515?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 2. Suppose 0 = 5*n - 4*m - 26, 0 = n - 5*n - 4*m - 8. Calculate q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13058877 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 57, 114, 191, 288, 405, 542?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 53415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -23. Let c be x\/5 - 91\/(-105). Which is smaller: c or 13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by -3?\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43791.761*0.5\nAnswer: -21895.8805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68228138 divided by -16?\nAnswer: -34114069\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -26)\/((-6)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1227 - -1223. Let m = -0.1 + 0. What is the nearest to -1 in m, 3, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, -9, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -7, -2, -5, -22 in ascending order.\nAnswer: -22, -8, -7, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 337822 (base 13) to base 8\nAnswer: 4507501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 41\/2. Let l = -0.1 + 0.06. Let d = -0.46 + l. Which is the closest to u? (a) d (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13 - 15*l**2 - 16.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11156266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:17 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -6940de?\nAnswer: -6940db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.03 + -1. Let p = 312 + -316.03. Let n = a + p. Put 7\/2, -1, n in descending order.\nAnswer: 7\/2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(171)).\nAnswer: -15*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 8) in base 16?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9195582303636 - 0.4.\nAnswer: 0.5195582303636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/84)\/(-9)*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2\/5 (c) 68538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19*d. Let f be 7 - (7 - (-4)\/(-1)). Let u(m) = 4*m - f*m + 2*m. Determine x(u(c)).\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14329155 is divided by 15358.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 128*t + 25*t + 68*t + 78*t.\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2, 1\/9, 5, 9860\/927, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2068592 and 221.\nAnswer: 457158832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*c**4 - 9*c**3 + 25*c**2 - 2306574?\nAnswer: 84*c**3 - 27*c**2 + 50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 (base 11) in base 5?\nAnswer: -14024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 6}. What is prob of picking 3 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 403\/62*(-18)\/9. Is n < -306\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6. Let s be p(0). Let d(b) = b**2 + 2*b + 2. What is the units digit of d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-1) + 101 + -97 - (-3466)\/600 and -19\/255?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 2. Let j(t) = -11*t - 5. Let v(m) = -3*j(m) - 8*s(m). Let b be v(5). Solve -2*z - 6 = q - 0*q, 0 = 5*z + b*q + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/15)\/((-10)\/(-20)). What is the second biggest value in f, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10625 - 16463. Let w = 12380 + m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 5*p, p = 3*j - 0 + 1. Suppose -17 = -l + 5*b, 4*b + 2 = 5*l + p. Let y(c) = 24*c**2 - 3*c - 8. Is y(l) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*q + 36. Suppose -3*j - q = -5*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 8*u - 2)*(u - 5*u + u).\nAnswer: 24*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 99\/5?\nAnswer: 99\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1636165, 1635672, 1635179, 1634686?\nAnswer: 1634193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/((-36)\/(-6)) + 1 + 5. Let f be 5\/(1\/1)*18. Suppose 3*j + 4*a - f = -q, -4*a - 42 = -j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 43809449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 5*a**2 - 5*a + 14. Let g be k(-6). Suppose g*u - 150 = -2*u. Let n = -14 + u. Is 9\/13 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30149*h**3 + 2*h**2 + 7*h + 35224343 wrt h.\nAnswer: -90447*h**2 + 4*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1207, -2214, -3217, -4216, -5211, -6202?\n\"Answer: 2*i**2 - 1013*i - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/57*(-1)\/(2\/(-9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 21. Let c(z) = 23 + 26 - 54. Suppose 0 = 3*i - 3*j - 33, 3*j = -i - 0*i + 3. Determine i*c(d) + 2*v(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = w + 14, -w = 3*h - 0 - 2. Suppose 0 = -h*f - 5*t + 2123, 6*f - 3*f = 5*t + 3122. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2676 times -0.04\nAnswer: 107.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5777 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g**(1\/5)*g)\/g)\/g*g**15*g)**23 assuming g is positive.\nAnswer: g**(1863\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57918402 divided by 122\nAnswer: 474741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 439, 867, 1655, 2923?\nAnswer: 4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 559, 535, 509, 481, 451, 419, 385?\n\"Answer: -w**2 - 21*w + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833478179 to the nearest integer?\nAnswer: 28870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 68*f**2 - 5*f - 9. What is the tens digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2. Let o(c) = -4*c - 13*c - 12*c - 4*c - 20*c. Calculate q(o(v)).\nAnswer: -5618*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1392 and 18966.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*l = 3*l. Let k = 15 + -10. Find the second derivative of l*i**5 + 4*i**5 - 3*i - i**k wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205335731?\nAnswer: 2647, 77573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/31 and -71\/3534?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -213*x**2 + 897*x - 924. Let z(s) = s**3 - 212*s**2 + 896*s - 928. Let k(g) = -4*q(g) + 3*z(g). Factor k(a).\nAnswer: 3*(a - 2)**2*(a + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*g = -12, 0 = -w + 5*g - 14 - 2. Suppose -2*m - 4 = 6. Let d = m - w. Is d less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 - j + 6. Let w(i) = 8*i - 6 + 1 - 9 + i**2. Let s be w(-10). Give f(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223201201 (base 4) to base 12.\nAnswer: 87201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 506 and -0.5521?\nAnswer: -279.3626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**6\/12 - 19*x**5\/2 - 461*x. Factor i(b).\nAnswer: -5*b**3*(b + 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-1 - 4) + 4). Let g be -2 + n + 5 + 2. Suppose -345 = -4*l - g*k, 405 = 5*l - 2*k + 3*k. What is the highest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*g - g = 25, 15 = 3*k - 3*g. Let c = 36 - 35.8. What is the nearest to -1 in k, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*u + 3*u**3 + 71*u - 50*u + 1 - u**2 in the form d + b*u + o*u**2 + c*u**3 and give b.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3947.4 - 3938. What is the nearest to 0 in q, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {j: 1, q: 3, u: 2, v: 1, w: 1, b: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -186a?\nAnswer: -1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - ((14 - 62) + -18)) + -12?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 4184 - 4184.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*4 + sqrt(2) + -4)*5.\nAnswer: -20 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t**3 - 568*t**2 - 102*t - 42. Determine r(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 12*r**2 + 4*r**2 + 2*r in the form g*r**2 + n + o*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 8 - (1519 + -1515)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 10, -17\/11, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274 and 14659?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(36\/(-8) - -5). Suppose -l*x - 15 = 3*x, 2*v + x = -3. Let y(u) = -u + 1. Calculate y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57881.93 + -57541. Let k = 341 - l. What is the fourth smallest value in k, 0.2, -2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*u - 212*u - 198. Calculate the remainder when u is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220520, 219912, 219304, 218696, 218088?\nAnswer: 217480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 12*y - 24. Is k(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(180))*3)**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4 - 0) + (51 - 55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*t = 85, 5*d = -2*t + 64 + 42. Let g be (-5)\/d + (-1)\/(-36). Which is smaller: -1\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -3216, 1 in decreasing order.\nAnswer: 6, 3, 1, -3216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0)\/(0 + 2). Let t be (10 - 6999)*(-2)\/(-34). Let k = t + 411. Is g at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 y when three letters picked without replacement from qphyjtq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-9))\/(66\/198).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 531\/(-590) + 4\/8*2. Let x(j) be the first derivative of -1\/2*j**3 + 0*j**4 + 19 + 0*j + i*j**5 + 1\/2*j**2. Determine y so that x(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 - 6*i + 3. Let g(y) = -4*y**2 - 4*y + 2. Let k(x) = -3*b(x) + 4*g(x). Calculate k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.684521 nanometers to micrometers.\nAnswer: 0.007684521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 - 373112*m**3 + 11569033392*m**2 - 118242313081760*m - 31034497281794048 = 0. What is m?\nAnswer: -256, 31178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2682131234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 1, g: 1, b: 3, k: 1}. Give prob of picking 1 d, 1 b, 1 k, and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = 644 + 983 - 535 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2540, 2538, 2534, 2528?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 13*i**3\/6 - 79*i**2 + 4062*i. Determine j(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-8))\/(q**(-3)\/q))\/(q\/(q**(-3)\/q)*q**(1\/3)))\/(q**(1\/2)*q*q*q**(-8)*q**(2\/23)*(q**(-2)\/q)\/q*q) assuming q is positive.\nAnswer: q**(11\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -23db8c4?\nAnswer: 23db8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2633173 by -5.\nAnswer: -2633173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -1138?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - b + 5 + (2 - 1 + 1)*(3*b - 1 + 1))*(0 + 0 + 2*b**2) as t*b + r*b**2 + k + p*b**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 532521961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y**2 - y + 1. Let j(v) = 8*v**3 + 2*v**2 + v - 2. What is j(i) + 2*x(i)?\nAnswer: 6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939928 is divided by 1939854.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -216.90249 and -172853.\nAnswer: -173069.90249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 29067301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834*q = 852*q + 198 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 224, 250, 290, 350, 436?\n\"Answer: a**3 + a**2 + 16*a + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8806 is divided by 3635?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085.3 times -6.4?\nAnswer: -6945.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(2904) + sqrt(2904))*1)\/(-3*sqrt(800)*1 - sqrt(800) - -1*sqrt(800)*1).\nAnswer: 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = 3*k, 0 = -4*q - 0*q + 2*k - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1413 - 938. Let w = -475 + f. What is the third smallest value in w, -9, -1.8, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-8 - (9 + -24) - (18 + -5))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -48*h + 600. What is n(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117768 (base 9) to base 10.\nAnswer: 71342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = 2*s. Suppose -w = m, m + w + s*w = -6. Let t(i) = 16*i**2 + 3*i**3 - 15*i**2 - m*i**3. What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22995*w + 22967*w + 1120 = 0. Calculate the least common multiple of w and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 15*x - 36 = -28*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 10*m + 3. Let p be o(10). Solve -5*k**p + 8*k**4 - 4*k**4 + 4*k + k**3 - 4*k**2 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -145, -292, -439, -586, -733, -880?\n\"Answer: -147*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 - 2*m - 7. Let g(z) = 3*z + 0*z - 2 + 13 - 47. Let n be g(11). Determine x(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18254, -5841, 14854, 43837, 81114, 126691, 180574?\n\"Answer: q**3 + 4135*q**2 + q - 22391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7790*h + 74369 - 284699 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 21, 35, 47, 57?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21999987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6546 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 34. Which is greater: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}